power of ten
Step-by-step explanation:
With the information given, can you prove
that this quadrilateral is a parallelogram?
Yes
No
We can see here that with the information given, one can prove that this quadrilateral is a parallelogram. Thus, it is yes>
What is a quadrilateral?A polygon with four sides and four vertices (corners) is called a quadrilateral. Its internal angles add up to 360 degrees.
Squares, rectangles, parallelograms, trapezoids, and rhombuses are all examples of quadrilaterals.
We can see that looking at the quadrilateral, we can deduce that it is parallelogram. This is because the opposites sides are equal. Also, their opposite angles are equal.
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Given that the roots of the equation x^2-8x+k=0 satisfy 3x+4x=29, find k
a = 1st zero or root of the quadratic
b = 2nd zero or root of the quadratic
[tex]x^2-8x+k=0\implies (x-a)(x-b)=0\implies x= \begin{cases} a\\ b \end{cases} \\\\[-0.35em] ~\dotfill\\\\ -ax-bx=-8x\implies -a-b=-8\implies -b=a-8\implies b=8-a \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{since we know that}}{3a+4b=29}\qquad \implies \qquad \stackrel{\textit{substituting from above}}{3a+4(8-a)~~ = ~~29}\implies 3a+32-4a=29 \\\\\\ -a+32=29\implies 32=a+29\implies \boxed{3=a}\hspace{5em}\stackrel{ 8~~ - ~~3 }{\boxed{b=5}}[/tex]
[tex]~\dotfill\\\\ (x-3)(x-5)=0\implies x^2-8x+\stackrel{ \textit{\LARGE k} }{15}=0[/tex]
The diagonals of parallelogram ABCD intersect at P. Select all the statements that must be true.
The required true statements are B). BC = AD, D). ∠CAD = ∠LACB, E). ∠BPC = ∠APD
What is parallelogram?A basic quadrilateral with two sets of parallel sides is known as a parallelogram. A parallelogram's facing or opposing sides are of equal length, and its opposing angles are of similar size.
According to question:The statements that must be true are:
B. BC = AD (Opposite sides of a parallelogram are equal in length)
D. ∠CAD = ∠LACB (Opposite angles of a parallelogram are equal in measure)
E. ∠BPC = ∠APD (Opposite angles of a parallelogram are equal in measure)
The statements A and C are not necessarily true for all parallelograms.
Statement A (AP = CP) is only true for parallelograms that are rectangles or rhombi, where the diagonals bisect each other.
Statement C (m∠ABC = 90) is only true for parallelograms that are rectangles or squares, where each angle is a right angle.
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10 cm
8 cm
12 cm
5 cm
6.4 cm
The perimeter of the rectangle is 36 cm.
What is a rectangle?A rectangle is a two-dimensional figure with length and width.
The area of a rectangle is Length x width.
We have,
Length = 10 cm
Width = 8 cm
Now,
The perimeter of the rectangle.
= 2 (length + width)
= 2 (10 + 8)
= 2 x 18
= 36 cm
Thus,
The perimeter of the rectangle is 36 cm.
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The complete question.
The length ad width of a rectangle is 10 cm and 8 cm.
Find the perimeter of the rectangle.
a) 28
b) 12
c) 6.4
d) 36
A car traveled at an average speed of 100 KM per hour for 5 hours and consumed fuel at a rate
of 13 KM per liter. What is the approximate cost of 5-hour trip if the price of fuel is R78 per liter?
The approximate cost of 5-hour trip if the price of fuel is R78 per liter by finding the average speed is R3000.68.
To find the the total distance travelled by the car in 5 hours at an average speed of 100 km/h is:
Distance = Speed x Time
Distance = 100 km/h x 5 h
Distance = 500 km
The total amount of fuel consumed during the trip is:
Fuel consumed = Distance / Fuel efficiency
Fuel consumed = 500 km / 13 km/l
Fuel consumed = 38.46 liters (rounded to two decimal places)
The cost of the fuel consumed during the trip is:
Cost of fuel = Fuel consumed x Price per liter
Cost of fuel = 38.46 liters x R78/liter
Cost of fuel = R3000.68 (rounded to two decimal places)
Therefore, the approximate cost of the 5-hour trip is R3000.68, assuming that the only cost incurred is for the fuel consumed during the trip.
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Find the indicated probability. The manager of a used car lot took inventory of the automobiles on his lot and constructed the following table based on the age of his car and its make (foreign or domestic)A car was randomly selected from the lot. Given that the car selected is older than two years old, find the probability that it is not a foreign car.
The probability that, if the car selected is older than two years old, it is not a foreign car is 57/118, so the correct option is A.
How to find the probability?We want to find the probability that if the car selected is older than two years old, it is not a foreign car.
Looking at the table, we can see that there are 200 - 82= 118 cars older than two years.
And of these 118 cars, 25 + 10 + 26 = 61 are foreign cars.
Then the number of non-foreign cars is:
118 - 61 = 57
And the probability will be equal to the quotient between the number of non-foreigner cars and the total number:
P = 57/118
So the correct option is A.
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C. a third bond is worth $100 and grows in value by 4 percent each year, but the interest is applied continuously, at every moment. The value of this bond after years is given by 100-Order the bonds from slowest growing to fastest growing. Explain how you know
We can order the bonds from slowest-growing to fastest-growing as:
First bond: fixed growth rate of $50 per year
Third bond: growth rate of 4% per year, compounded continuously
Second bond: growth rate of 6% per year, compounded annually
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.com
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
To order the bonds from slowest growing to fastest growing, we need to compare their growth rates.
The first bond grows at a fixed rate of $50 per year, regardless of how long it is held.
So its growth rate is constant and does not change with time.
The second bond is worth $500 and grows at a fixed annual rate of 6%, so its value after one year will be:
Value after one year
= $500 + 0.06 x $500
= $530
After two years, its value will be:
Value after two years.
= $530 + 0.06 x $530
= $561.80
We can see that the second bond's growth rate is increasing over time since the increase in value each year is calculated as a percentage of the new value.
The third bond is worth $100 and grows at an annual rate of 4% that is applied continuously.
The formula for the value of a continuously compounded bond after t years = $100 x e^(0.04t)
where e is the mathematical constant approximately equal to 2.718.
After one year,
The value of the third bond.
= $100 x e^(0.04 x 1) = $104.08
After two years,
Value after two years
= $100 x e^(0.04 x 2)
= $108.24
We can see that the growth rate of the third bond is also increasing over time because the interest is being compounded continuously.
Now,
We can order the bonds from slowest-growing to fastest-growing as:
First bond: fixed growth rate of $50 per year
Third bond: growth rate of 4% per year, compounded continuously
Second bond: growth rate of 6% per year, compounded annually
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Suppose that a motorboat is moving at 83 ft/s when its motor suddenly quits, and that 1 s later the boat has slowed to 23 ft/s. Assume that the resistance it encounters while coasting is proportional to the square of its velocity so that dv/dt =-kv^2 where k > 0. How far will the boat coast in the first 2 minutes after its motor quits?
The boat travels a distance of [tex](1/2k) ln(61/42)^2[/tex] in the first 2 minutes after its motor quits.
We can solve this problem using separation of variables. The differential equation that models the velocity of the boat is:
[tex]dv/dt = -kv^2[/tex]
To do this, we first need to separate the variables and integrate both sides:
[tex]1/v^2 dv = -k dt[/tex]
Integrating both sides, we get:
-1/v = kt + C
where C is the constant of integration. To find C, we can use the initial condition that the boat is moving at 83 ft/s when the motor quits:
-1/83 = k(1) + C
C = -1/83 + k
Now we can substitute C back into our equation:
-1/v = kt - 1/83 + k
Solving for v, we get:
v = 1 / (k(t - 1/83 + 1))
Now we can integrate v over the time interval [1, 121] to find the distance traveled by the boat:
d = ∫[1,121] v dt
Substituting v into the integral, we get:
d = ∫[1,121] 1 / (k(t - 1/83 + 1)) dt
We can simplify the integral by using the substitution u = t - 1/83 + 1:
d = ∫[84/83, 122/83] 1 / (ku) du
Now we can integrate this expression to get:
d = ln(u) / k |[84/83, 122/83]
d = ln(122/83) / k - ln(84/83) / k
d = (1/k) ln(122/83) - (1/k) ln(84/83)
We can simplify this expression using the fact that C = -1/83 + k:
d = (1/k) ln(122/83 / 84/83)
d = (1/k) ln(61/42)
Finally, we can plug in the initial condition k > 0 to get the distance traveled by the boat:
d = [tex](1/k) ln(61/42) = (1/2k) ln(61/42)^2[/tex]
d = [tex](1/2k) ln(61/42)^2[/tex]
Since we are not given the value of k, we cannot compute the exact numerical value of the distance traveled.
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Amir notices that 3 out of every 50 cars that pass by his window
are green. If he observes 400 cars, what is the best estimate for how
many of them will be green?
Answer:
24 cars are green
Step-by-step explanation:
We know
Amir notices that 3 out of every 50 cars that pass by his window are green.
So, the ratio is 3:47
To get from 50 to 400, we time 8.
If he observes 400 cars, what is the best estimate of how many will be green?
We take
3 x 8 = 24 cars are green
So, there will be 24 cars that are green.
903-814 with solution
Answer:
89
Step-by-step explanation:
903 - 814 =
= (900 + 3) - (800 + 14) =
= 900 + 3 - 800 - 14 = 100 - 11 =
= 89
which expression can be used to calculate the rate per second at which the machine launches the balls? (5 points) a fraction 12 over 2 b fraction 2 over 12 c fraction 48 over 2 d fraction 2 over 48
The expression that can be used to calculate the rate per second at which the machine launches the balls is a) Fraction 12 over 2.
To calculate the rate per second at which the machine launches the balls is:
First, we need to know the meaning of rate is: it is the amount of something per unit of time. In this case, we want to find the rate at which the machine launches the balls per second.
The fraction 12 over 2 represents the number of balls launched by the machine in 12 seconds. If we want to find the rate per second, we need to divide this number by the number of seconds.
12/ 2 = 6, so the machine launches 6 balls in 1 second.
Therefore, the rate per second at which the machine launches the balls is 6.
So, the expression that can be used to calculate the rate per second at which the machine launches the balls is Fraction 12 over 2, which simplifies to 6.
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7 plums cost 63p
5 limes cost 60p
work out the cost of 1 plum
The cost of one plum in pence is 9p. The cost of 1 lime in pence is 12p.
Comparing the cost plum is cheaper.
The cost of 1 plum can be found by dividing the total cost of 7 plums by 7:
63 p / 7 = 9 p
Therefore, the cost of 1 plum is 9 p.
The cost of 1 lime can be found by dividing the total cost of 5 limes by 5:
60 p / 5 = 12 p
Therefore, the cost of 1 lime is 12 p.
Comparing the costs of 1 plum and 1 lime, we see that 1 plum costs 9 p and 1 lime costs 12 p. Therefore, the plum is cheaper per item.
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____The given question is incomplete, the complete question is given below:
A grocery shop sells plums and limes. 7 plums cost 63 p. 5 limes cost 60p a) Work out the cost of 1 plum, in pence (p).
b) Work out the cost of 1 lime, in pence (p).
c) Which type of fruit is cheaper per item?
find in two ways: by using the chain rule, and by first substituting the expressions for and to write as a function of . do your answers agree? z
Yes, both methods give the same result. The chain rule is used to differentiate a composite function, while the substitution method is used to differentiate a function after substituting a variable with its expression.
The chain rule is used to differentiate a composite function, which is a function of a function. To use the chain rule, we differentiate the inner function and multiply it by the derivative of the outer function. In this case, we would have
f(x) = ([tex]x^2 + 3x + 2[/tex]) and
g(x) = [tex]2x^3 + 5[/tex]
The derivative of f(x) would be 2x + 3 and the derivative of g(x) would be [tex]6x^2[/tex]. Taking the product of these two derivatives, we get
[tex]12x^3 + 18x^2[/tex],
which is the answer we get using the chain rule. The substitution method involves substituting a variable in a function with its expression. In this case, we substitute x with ([tex]x^2 + 3x + 2[/tex]). This gives us a new function that is a function of [tex]x^2 + 3x + 2[/tex]instead of x. We then differentiate this new function and the answer we get is the same as the one we got using the chain rule. Therefore, both methods give the same result and agree with each other.
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How many 200 mL glasses can be filled using a 2.2 L bottle of cola?
Answer:
11 glasses
Step-by-step explanation:
There are 200 ml glasses and we have 2.21 liter of bottels. So first of all covert liter into ml so we get 2210 ml of coca cola.now divide 2210 by 200 so we get 11 glasses
Jerome walks 90 feet from the base of a tree and looks up. The angle from the ground to the top of the tree is 33°. How tall is the tree?
The height of the tree is approximately 156.7 feet.
What is Trigonometry?
Trigonometry is the study of angles and the angular relationships of planar and three-dimensional shapes. Trigonometry is made up of trigonometric functions (also known as circle functions) such as cosecant, cosine, cotangent, secant, sine, and tangent.
The height of the tree can be calculated using trigonometry.
Let's call the height of the tree "h".
Then, using the right triangle formed by the height of the tree, the distance from the base of the tree to where Jerome is standing, and the angle between the ground and the top of the tree, we can set up the following equation:
tan(33°) = h / 90
Solving for h, we get:
h = 90 * tan(33°)
Using a calculator to find the value of tan(33°), we get:
h = 90 * 1.730
h ≈ 156.7 feet
So, The height of the tree is approximately 156.7 feet.
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how many sides does a polygon have if the sum of the interior angles is 3960
A polygon with a sum of interior angles of 3960 has 22 sides.
The sum of the interior angles of a polygon can be calculated using the formula:
(n-2) * 180
where n is the number of sides of the polygon. This formula is derived from the fact that the total degree measure of a polygon is equal to the sum of the degree measures of its interior angles. In a polygon with n sides, there are n angles, each measuring 180 degrees. So the total degree measure of a polygon with n sides is n * 180.
Now, if we subtract the degree measures of two angles, we are left with the sum of the degree measures of the remaining n-2 angles. This is why the formula for the sum of the interior angles of a polygon is given as (n-2) * 180.
To find the number of sides of a polygon given its sum of interior angles, we can rearrange the formula as follows:
n = (Sum of interior angles / 180) + 2
So, if the sum of the interior angles is given as 3960, we can plug that into the formula:
n = (3960 / 180) + 2
n = 22
Therefore, a polygon with a sum of interior angles of 3960 has 22 sides.
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How many sides does a polygon have if the sum of the interior angles is 3960?
Enter the missing numbers in the boxes to complete the table of equivalent ratios.
Answer:
Top box is 2
Middle box is 10
Bottom box is 18
Step-by-step explanation:
[tex]\frac{6}{9}[/tex] = [tex]\frac{x}{3}[/tex]
9 ÷ 3 = 3
6 ÷ 3 = 2
x = 2
[tex]\frac{6}{9}[/tex] = [tex]\frac{x}{15}[/tex]
9 x [tex]\frac{15}{9}[/tex] = 15
6 x [tex]\frac{15}{9}[/tex] = 10
x = 10
[tex]\frac{6}{9}[/tex] = [tex]\frac{12}{x}[/tex]
6 x 2 = 12
9 x 2 = 18
x = 18
Can you please help me with 11, 12,13 and 14 please it will mean a lot
first one is a
Step-by-step explanation:
What is 2 1/2 doubled
Answer:
5
Step-by-step explanation:
2 1/2
+ 2 1/2
1/2 and 1/2 makes a whole which is 1
so if you have 4 and and a whole which is 5
They can also be turned into decimals. 1/2 as a decimal is .5
so 2.5 plus 2.5 = 5
Calculate the area of a four-sided regular pyramid if its base edge is a=10cm, and its side edge is b=12cm.
The area of a four-sided regular pyramid, given the base edge and the side edge is 340 cm ² .
How to find the area ?The area of a four-sided regular pyramid can be found by the formula :
= Area of base + 1 / 2 x perimeter of base x side edge
Area of base :
= 10 x 10
= 100 cm ²
Perimeter of base ;
= 10 + 10 + 10 + 10
= 40 cm
The area of the four-sided regular pyramid is;
= 100 + ( 1 / 2 x 40 x 12 )
= 340 cm ²
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you shuffle a standard deck of cards, then draw four cards.(a) what is the probability all four are the same suit? (b) what is the probability all four are red? (c) what is the probability each has a different suit?
a) Probability that all four are the same suit = 0.0106 b) Probability that all four are red =0.055 c) Probability each has a different suit = 0.105
Total number of cards =52
No. of cards for each suit =13
Total types of four suit =4 (heart, spades, diamonds, clubs)
Total numbers of ways = [tex]^{52}C_4[/tex] =270,725 ways
a) number of ways choosing four cards of the same suit
= [tex]^{13}C_4+^{13}C_4+^{13}C_4+^{13}C_4[/tex]
= [tex]4 \times ^{13}C_4\\[/tex]
= [tex]4 \times \frac{13!}{4!(13-4)!}[/tex]
=2860 ways
Probability that all four are the same suit is 2860/270,725 = 0.0106
b) Number of ways all four cards are red
=[tex]^{26}C_4[/tex]
= 4,950 ways
Probability that all four are red = 4950/270,725 =0.055
c) Number of ways each card has a different suit
=[tex]^{13}C_1\times^{13}C_1\times^{13}C_1\times^{13}C_1[/tex]
= 28,561 ways
Probability each has a different suit is 28561/270725 = 0.105
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is 27 goldfish to 15 frogs a equivalent ratio
Mr. Kazoo is planning to build a fence
gate 40 inches wide. He plans to use
boards 7 inches wide. How many
1
2
boards should he buy?
The number of boards Mr.Kazoo should buy is given by the equation A = 6
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Let the number of boards Mr.Kazoo should buy be A
The total length of the board = 40 inches
The length of each board = 7 inches
So , the number of boards = total length / length of each board
Substituting the values in the equation , we get
The number of boards A = 40 / 7
The number of boards A = 5.71
The number of boards A = 6 boards
Hence , the number of boards is 6
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Solve: s=4+sqrrt s+2
s = 2
s = 7
s = 2 or s = 7
no real solution
There is no real solution to the given equation s = 4 + sqrt(s+2) with value of s = 2, s = 7, s = 2 or s = 7.
To solve the equation:
s = 4 + sqrt(s+2)
We can start by isolating the square root term on one side:
s - 4 = sqrt(s+2)
Then, we can square both sides to eliminate the square root:
(s - 4)^2 = s + 2
Expanding the left side:
s^2 - 8s + 16 = s + 2
Bringing all terms to one side:
s^2 - 9s + 14 = 0
We can solve for s using the quadratic formula:
s = (9 ± sqrt(9^2 - 4(1)(14))) / 2(1)
s = (9 ± sqrt(49)) / 2
s = (9 ± 7) / 2
So the two possible solutions are:
s = 8/2 = 4
s = 2/2 = 1
However, we need to check if these solutions satisfy the original equation.
If we plug s=4 into the equation, we get:
4 = 4 + sqrt(4+2)
4 = 4 + sqrt(6)
This is not true, since the right-hand side is greater than the left-hand side.
If we plug s=1 into the equation, we get:
1 = 4 + sqrt(1+2)
1 = 4 + sqrt(3)
This is also not true.
Therefore, there is no real solution to the equation s = 4 + sqrt(s+2).
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Answer:
B
Step-by-step explanation:
HELP you will get brainlie
Answer:
A. 112 units^2
Step-by-step explanation:
64 + 32 + 12 + 4 = 112
1) Write the equation of the line passing through point P with slope m, if
a) P(1,4) and m = 3
c) P (3,0) and m = −1
b) P(-1,-2) and m = 4
d) P(0,0) and m = -5
Answer:
a) y - 4 =3(x - 1)
b) y + 2 = 4(x+ 1)
c) y = -(x - 3)
d) y = -5x
Step-by-step explanation:
You did not say which form, so I put them in the point-slope form of a line that follows the pattern:
y - [tex]y_{1}[/tex] = m( x - [tex]x_{1}[/tex])
Answer:
see explanation
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
(a)
given m = 3 , then
y = 3x + c ← is the partial equation
to find c substitute (1, 4 ) into the partial equation
4 = 3(1) + c = 3 + c ( subtract 3 from both sides )
1 = c
y = 3x + 1 ← equation of line
(b)
given m = 4 , then
y = 4x + c ← is the partial equation
to find c substitute (- 1, - 2 ) into the partial equation
- 2 = 4(- 1) + c = - 4 + c ( add 4 to both sides )
2 = c
y = 4x + 2 ← equation of line
(c)
given m = - 1 , then
y = - x + c ← is the partial equation
to find c substitute (3, 0 ) into the partial equation
0 = - 3 + c ( add 3 to both sides )
3 = c
y = - x + 3 ← equation of line
(d)
given m = - 5 , then
y = - 5x + c ← is the partial equation
to find c substitute (0, 0 ) into the partial equation
0 = - 5(0) + c = 0 + c ⇒ c = 0
y = - 5x ← equation of line
How do you factor with a leading coefficient greater than 1?
Factoring polynomials with a leading coefficient greater than 1 is to use the factoring by grouping technique or quadratic formula.
Factoring a polynomial with a leading coefficient greater than 1 can be more challenging than factoring a polynomial with a leading coefficient of 1. However, there are several methods and techniques that can be used to factor such polynomials.
One common method for factoring polynomials with a leading coefficient greater than 1 is to use the factoring by grouping technique. This involves grouping the terms of the polynomial in pairs and factoring out the greatest common factor of each pair.
The resulting expressions can then be further factored or combined to obtain the final factorization of the polynomial.
Another method for factoring polynomials with a leading coefficient greater than 1 is to use the quadratic formula, which can be used to find the roots of a quadratic polynomial. Once the roots are found, the polynomial can be factored as a product of linear factors.
In some cases, it may also be helpful to use a combination of these techniques, along with other algebraic manipulations, such as completing the square or long division.
Overall, factoring a polynomial with a leading coefficient greater than 1 may require more patience and creativity than factoring a polynomial with a leading coefficient of 1, but with practice and persistence, it is possible to develop the skills and techniques needed to factor such polynomials efficiently and accurately.
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An expression is given.
Which expression is equivalent to the given expression?
A
−13x+12-13x+12−13x+12
B
10x2−7x−1210x^2-7x-1210x
2
−7x−12
C
10x2−23x+1210x^2-23x+1210x
2
−23x+12
D
7x2−23x−77x^2-23x-77x
2
−23x−7
The equation -13x+12-(-13x+12)-13x+12 = -13x+12 is equivalent to the given expression that is -13x+12.
10x^2 - 23x + 12 = (5x - 3)(2x - 4) = 0
So the solutions to the equation are x = 3/5 or x = 2.
Therefore, this expression is not equivalent to -23x + 12 for all values of x.
10x^2 - 7x - 12 = 0 can be factored as (2x - 3)(5x + 4) = 0.
So the solutions to the equation are x = 3/2 or x = -4/5.
Therefore, this expression is not equivalent to -7x - 12 for all values of x.
-13x+12-(-13x+12)-13x+12 = -13x+12
-13x+12 = -13x+12
This expression is equivalent to -13x+12 .
7x^2 - 23x - 77 = (7x + 11)(x - 7) = 0
So the solutions to the equation are x = -11/7 or x = 7.
Therefore, this expression is not equivalent to -23x - 7 for all value x.
The given expressions of each case are not equivalent to the given equations for all values of x, except −13x+12-(-13x+12)-13x+12 = -13x+12 which is equivalent to -13x+12 .
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______The given question is incorrect, the correct question is given below:
An expression is given on equation
Which expression is equivalent to the given expression of each case
?
A
10x2−23x+1210x^2-23x+1210x = −23x+12
B
10x2−7x−1210x^2-7x-1210x = −7x−12
C
−13x+12-(-13x+12)-13x+12 = -13x+12
D
7x2−23x−77x^2-23x-77x = −23x−7
HELP PLS! ITS DUE IN 30 MIN!!!!!!!
The altitude of an airplane coming in for a landing is represented by the equation shown below, where y represents the altitude, in feet, of the airplane and x represents the number of minutes the plane has been descending:
y = -10x + 300
Part A:
Create a table for the values when x = 0, 5, 8, 10, 30.
Include worked-out equations used to identify the values within the table.
Part B:
Identify the altitude after 5 minutes and after 30 minutes. Use 1-2 sentences to explain the altitude at these two times and describe what is happening to the airplane at these time intervals.
The altitude of an airplane coming in for a landing is represented by the equation shown below, where y represents the altitude, in feet, of the airplane and x represents the number of minutes the plane has been descending:
y = -10x + 300
Part A:
Create a table for the values when x = 0, 5, 8, 10, 30.
Include worked-out equations used to identify the values within the table.
Part B:
Identify the altitude after 5 minutes and after 30 minutes. Use 1-2 sentences to explain the altitude at these two times and describe what is happening to the airplane at these time intervals.
The table to explain the equation will be:
x (minutes) y (altitude, in feet) Worked-out equation
0 300 -10x + 300 = 300
5 250 -10x + 300 = 250
8 220 -10x + 300 = 220
10 200 -10x + 300 = 200
30 0 -10x + 300 = -0
What is an equation?An equation simply has to do with the statement that illustrates the variables given. In this case, it is vital to note that two or more components are considered in order to be able to describe the scenario
I used the equation y = -10x + 300 to find the altitude of the airplane for each x value.
The altitude after 5 minutes is 250 feet and 0 after 30 minutes.
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Someone quick help me with this please?
Answer:
Not equal and Congruent should be your answers
