***I NEED TO FIND THE SLOPE OF THE LINE THOUGH THESE POINTS****
We need to find the slope of a segment that joins the points (5, -2), and (-5, -8)
Therefore we use the formula for the slope:
[tex]\text{slope}=\frac{y_2-y_1}{x_2-x_1}=\frac{-8-(-2)}{-5-5}=\frac{-6}{-10}=0.6[/tex]Therefore the value of the slope is 0.6 = 6/10 = 3/5
You may need to enter the answer in a particular format (all three values above are the same, but expressed differently)
Then if we want the expression for the equation of the line, we use this slope, and either one of the points that they give us. for example the point (5, -2)
We write the general form of the equation of a line in slope-intercept form:
[tex]y=mx+b[/tex]and use for "m" 3/5, and require that the point (5, -2) be part of the line:
[tex]\begin{gathered} y=\frac{3}{5}x+b \\ -2=\frac{3}{5}(5)+b \\ -2=3+b \\ -2-3=b \\ b=-5 \end{gathered}[/tex]Therefore, the equation of the line (in slope intercept form) is:
[tex]y=\frac{3}{5}x-5[/tex]I can’t figure this equation out. -2(x + 1) = -2x + 5
Since equality is false there is no solution.
A small publishing company is planning to publish a new book. Let C be the total cost of publishing the book (in dollars). Let N be the number of copies of the book produced. For the first printing, the company can produce up to 100 copies of the book. Suppose that =C+10N700 gives C as a function of N during the first printing. Identify the correct description of the values in both the domain and range of the function. Then, for each, choose the most appropriate set of values.
The correct description of the values in both the domain and range of the function are;
Domain is on the interval (0, 100) which are possible values of number of copies of the book produced.
Range is on the interval (700, 1700) which are the possible total cost of publishing the book
What is the domain and the range of the function?The formula for total cost is;
Total cost = fixed cost + variable cost or
We are given the function; C = 10N + 700
Where;
C is the total cost of publishing the book (in dollars).
N is the number of copies of the book produced.
a) Domain is possible values of N.
For the first printing, the company can produce up to 100 copies of the book.
Thus, the domain is on the interval (0, 100) but only integers.
The range is the possible cost.
Possible cost maximum = 10(100) + 700 = 1700
Thus, the range is on the interval (700, 1700) where any cost in that interval is not continuous, but follows a discrete sequence.
b) Reasonable values of the domain are [0, max] where the maximum value is the largest book sales ever in the market area, maybe 50 or 75
Reasonable values for the range are [700, max] where the maximum cost is 700 + 10 *50 or 75,
or 1200 or 1450.
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The distance, y, in miles, traveled by a car for a certain amount of time, x, in hours, is shown in the graph below:Motion of a Car7865Distance 52from Starting39Point(mi)261301562314Time (hr)Which of the following best describes the motion of the car shown? It travels for 2 hours, then stops for 3 hours, and finally travels again for 2 hours.lt travels for 2 hours, then stops for 3 hours, and finally travels again for 5 hours. lt travels for 2 hours, then stops for 1 hour, and finally travels again for 5 hours.lt travels for 2 hours, then stops for 1 hour, and finally travels again for 2 hours.
From the graph we can conclude:
The cars travels for 2 hours, then stops for 1 hour and finally travels again for 2 hours.
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[tex]undefined[/tex]You invest $12,000 in an account that pays simple interest of 3.4%
each year. Find the interest earned after 10 years.
If we invest $12,000 in an account that pays simple interest of 3.4%
each year. 4080 is the interest earned after 10 years.
What is Simple Interest?Simple interest is the cost of borrowing money without accounting for the effects of compounding.
Given that if we invest $12,000 in an account that pays simple interest of 3.4% each year. The interest earned after 10 years we have to calculate.
A=P(1+rt)
A= Final Amount
P=Principle amount=12000
r = rate of interest=3.4%
t is time =10 years
Substitute these values in Formula.
Convert 3.4% to decimal number by dividing with 100.
A=12000(1+0.034(10))
A=12000(1+0.34)
A=12000(1.34)
A=16080
So intial amount-Final amount
12000-16080
4080
Hence the interest earned after 10 years is 4080.
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correctly solve the equation dx + fy=g for x?
Given the expression:
[tex]dx+fy=g[/tex]To solve this expression for x, means that you have to isolate the term "x" in one side of the equal sign and all other terms mus be in the other side of it.
To "pass" a term from one side of the = sign to the other you have to perform the inverse operation to both sides of the equation (this way the equality remains valid)
So, the term "fy" is adding, the inverse operation is to subtract it, first step is to subtract this term of both sides of the equation:
[tex]dx+fy-fy=g-fy[/tex]+fy and -fy cancel each other so that:
[tex]dx=g-fy[/tex]Next, the term "x" is being multiplied by "d" but you need to reach the point were x is alone.
To cancel this multiplication you have to divide it by "d", and to keep the equality valid you have to perform the operation in both sides of the = sign:
[tex]\frac{dx}{d}=\frac{(g-fy)}{d}[/tex]d/d=1, then we get that x is equal to:
[tex]x=\frac{(g-fy)}{d}[/tex]what is the discrimant of x^2 +x-2=0
Answer:
Discriminant = 9.
Step-by-step explanation:
Discriminant
[tex]\boxed{b^2-4ac}\quad\textsf{when}\;ax^2+bx+c=0[/tex]
[tex]\textsf{when $b^2-4ac > 0 \implies$ two real roots}.[/tex]
[tex]\textsf{when $b^2-4ac=0 \implies$ one real root}.[/tex]
[tex]\textsf{when $b^2-4ac < 0 \implies$ no real roots}.[/tex]
Given function:
[tex]x^2+x-2=0[/tex]
Therefore:
a = 1b = 1c = -2Substitute the values of a, b and c into the discriminant formula:
[tex]\begin{aligned} \implies b^2=4ac&=(1)^2-4(1)(-2)\\&=1-4(-2)\\&=1+8\\&=9\end{aligned}[/tex]
Therefore, the discriminant of the given function is 9.
As the discriminant is greater than zero, this implies that there are two real roots.
help please on this
Answer:
its was 100.6
Step-by-step explanation:
i hope this helps
If £25 = 800 rubles, how many £ are in 992 rubles?
Answer:
31
Step-by-step explanation:
800/25=32
992/32=31
Answer:
£31
Step-by-step explanation:
let me know if you want a through explanation
look at the circle below. identify an example of radius
we have taht
radius is
HG
HA
HE
HD
The radius is the distance from the center of the circle to any point that lies on the circle
In this problem
point H is the center of the circle
so
the distance from H to any point on the circumference of the circle is a radius
see the attached image
All those segments are radius
Part 2
Remember that
the circumference is equal to
[tex]C=\pi\cdot D[/tex]so
In the table
the value of C is about 3 times the diameter
therefore
the values of flying disc are inaccurate
because
if D=23 cm the circunference must be about 69 cm, not 28 cm
Which one of these numbers are greater than 3.2×10-3
3.2 x 10^-3 = 0.0032 ( we have to move the decimal point 3 units to the left since the exponent of 10 is -3)
Express all the options in decimal form
2.1 x 10^-3 = 0.0021
4.2 x 10^-4 = 0.00042
5.2 x 10^-2 = 0.052
5.2 x 10^-1= 0.52
0.052 > 0.0032
0.52> 0.0032
So, correct options are:
5.2 x 10^-2
5.2 x 10^-1
What type of quadrilateral is given? (Note: The red hash marks denote congruent sides. The sides with one hash mark are congruent to each other. The sides with two hash marks are congruent to each other.)a.) Parallelogramb. b) Rectangle.c ) Rhombus.d ) Square.e) Trapezoid
Given the image we have a Parallelogram. Because it is a four-sided plane figure with opposite sides parallel.
ANSWER
a) Parallelogram
Julia had a bag filled with gumballs. There were 2 lemon-lime, 3 watermelon, and 5 grape gumballs. What is the correct sample space for the gumballs in her bag?
a. Sample space = 2, 3, 5
b. Sample space = 1, 2, 3, 4, 5, 6, 7, 8, 9, 10
c. Sample space = lemon-lime, watermelon, grape
d.Sample space = lemon-lime, lemon-lime, watermelon, watermelon, watermelon, grape, grape, grape, grape, grape
If Julia had a bag filled with gumballs and there were 2 lemon-lime, 3 watermelon, and 5 grape gumballs, then the correct sample space for the gumball in her bag is option (D) Sample space = lemon-lime, lemon-lime, watermelon, watermelon, watermelon, grape, grape, grape, grape, grape
The number of lemon limes in the bag = 2 lemon-lime
Number of watermelon in the bag = 3 watermelon
Number of grape gumballs in the bag = 5 grape gumball
Sample space is the set of all the possible outcomes the experiment
Here there are 2 lemon-lime, 3 watermelon and 5 grape gumball
Hence, if Julia had a bag filled with gumballs and there were 2 lemon-lime, 3 watermelon, and 5 grape gumballs, then the correct sample space for the gumball in her bag is option (D) Sample space = lemon-lime, lemon-lime, watermelon, watermelon, watermelon, grape, grape, grape, grape, grape
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Answer:Option B is the correct answer
Find the area of the triangle below.
Be sure to include the correct unit in your answer.
Answer: 85 cm
Step-by-step explanation:
Final8. Find the measure of the angle indicated in bold.
Those are supplementary angles, hence:
[tex]\begin{gathered} (12x+8)+(15x+10)=180 \\ 27x+18=180 \\ 27x=180-18 \\ x=\frac{162}{27} \\ x=6 \\ \text{Therefore:} \\ 15x+10=15(6)+10=90+10=100 \\ \end{gathered}[/tex]11.
A recipe called for the ratio of sugar to flour to be 7 : 3. If you used 63 ounces of sugar, how many ounces of flour would you need to use? Solve by using equivalent fractions.
Answer:
27 ounces of flour
Step-by-step explanation:
[tex]\frac{7}{3}[/tex] x [tex]\frac{9}{9}[/tex] = [tex]\frac{63}{27}[/tex]
7/3 = 63/x
isolate the so that it is on the top, so multiply by x on the right and on the left
this gives you:
x*7/3 = 63
try to isolate x and multiply by 3 to get rid of the denominator
x*7 = 63 * 3
x*7 = 189
finally isolate x by dividing by 7 and getting rid of the 7 multiplying with it
x= 189/7
x = 27
you need 27 ounces of flour if you have 63 ounces of sugar
3aX7a= Because I need a lot of help and I also need the answer to 7aX13a
Answer:
3a x 7a= 21a^2
Step-by-step explanation:
7a x 13a=91a^2
Help needed! please help math
Answer:
1.147×10^-2 cm
Step-by-step explanation:
You want the difference between the two values 1.87×10^-2 and 7.23×10^-3 expressed in scientific notation.
DifferenceAddition and subtraction of numbers in scientific notation requires that the multipliers have the same exponent. That exponent can be chosen so no adjustment of the exponent is required in the answer.
[tex]1.87\times10^{-2}-7.23\times10^{-3}= 1.87\times10^{-2}-0.723\times10^{-2}\\\\=(1.87-0.723)\times10^{-2}=\boxed{1.147\times10^{-2}}[/tex]
This measurement is in centimeters.
__
Additional comment
A calculator or spreadsheet can accept input and display results in scientific notation.
The difference in the diameter of of G and H is 1.147x 10⁻² cm
What are mathematics operations?
• An operation is a function in mathematics that converts zero or more input values (also known as "operands" or "arguments") to a well-defined output value.
• The operation's arity is determined by the number of operands.
• Binary operations (i.e., operations of arity 2), such as addition and multiplication, and unary operations (i.e., operations of arity 1), such as additive inverse and multiplicative inverse, are the most commonly studied operations.
• A zero-arity operation, also known as a nullary operation, is a constant.
• The mixed product is an example of an arity 3 operation, also known as a ternary operation.
it is given that :
the diameter of cell G is = 1.87 x 10⁻² cm
the diameter of cell H is = 7.23 x 10⁻³ cm
Now, to find the difference between the diameter of two cells simply subtract the diameter of cell G and H :
difference in the diameter of of G and H = 1.87 x 10⁻² cm - 7.23 x 10⁻³ cm
difference in the diameter of of G and H=1.87 x 10⁻² cm - 0.723 x 10⁻² cm
= 1.147x 10⁻² cm
Therefore, the difference in the diameter of of G and H is 1.147x 10⁻² cm
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I needed help on this
Recall that a rotation of 180 degrees around the origin transforms the coordinates following the rule:
(x, y) --> (-x, -y)
and also recall that a reflection across the y-axis will convert the following:
(x, y) --> (-x, y)
Therefore, we cansider the succession of transformations given as:
(x, y) --> (-x, -y) --> (x, -y) (since the y value stays the same in the reflection around the y axis, but the x changes to its opposite)
Then, this transformation (from beginning to end)
(x, y) --> (x, -y) is equivalent to a reflection around the x-axis (which keeps the x coordinate intact and flips the y-coordinate to its opposite. So, please select the option that reads: Reflection around the x-axis.
next sequence of 3/2, 7/2, 13/4
Line r passes through the point (3,6) and is parallel to line s is 3y=-6x+9 enter the equation of line r in y=ax+b form
Answer:
y = -6/3 + 12
Step-by-step explanation:
Step 1: Plot the point
Step 2: Simplify the given function then graph it
3y = -6x + 9 becomes:
y = -6/3x + 3
Step 3: Using the slope of -6/3 (because parallel lines will ALWAYS have the same slope) find 1 more point on the graph.
Step 4: Draw a line thru those points and find the y-int
y = ax + b, x and y are variables, a is the slope and b is the y-int
y = -6/3 + 12
The slope of the line between the points (2,5) & (5,r) is 2/3. What is the value of r?
(hint: Use the slope formula)
By using the slope formula the required value of r is 7 .
Given : ( 2 , 5 ) and ( 5 , r )
The slope given is 2/ 3
We know that when two values of x and y are given and we are supposed to find the slope of the equation we use the slope formula.
And thus by using the slope formula we get the below :
y₂ - y₁ = m ( x₂ - x₁ )
= > r - 5 = 2/ 3 ( 5 - 2 )
On cross multiplying we get :
3 r - 15 = 10 - 4
Add 15 to both sides of the equation and we will get
3 r = 10 - 4 + 15
3 r = 21
Divide both sides by 7 and we get :
r = 7
Thus by using the slope formula the required value of r is 7 .
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How do I graph this??
According to the given equation (y = (3/4)x -2) the value of y for x:
Y = {-5 , -2 , 1 , 4}
How is a coordinate plane defined simply?A coordinate plane is just a two-dimensional plane that is created when two number lines cross. These number lines include the x-axis, a horizontal number line, and indeed the y-axis, a vertical number line.
The coordinate plane where is it?In a coordinate plane, which is a two-dimensional number line, the vertical line is known as the y-axis and the horizontal line as the x-axis, as you might recall from pre-algebra. These parallel lines cross one another at their zero points. The origin is where we start from.
According to the given data:Equation:
y = (3/4)x -2
X = {-4 , 0 , 4 , 8}
for each value of x the value of the y :
For x = -4
y = (3/4)x -2
y = (3/4)(-4) -2
y = -5
For x = 0
y = (3/4)x -2
y = (3/4)(0) -2
y = 0 -2
y = -2
For x = 4
y = (3/4)x -2
y = (3/4)(4) -2
y = 1
For x = 8
y = (3/4)x -2
y = (3/4)(8) -2
y = 6 -2
y = 4
According to the given equation (y = (3/4)x -2) the value of y for x:
Y = {-5 , -2 , 1 , 4}
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BD bisects ZABC. Solve for x and find m ZABC.mZABD = 9x - 8. mZCBD=6x + 1XmZABC=°Enter your answer in the answer box and then click Check Answer.All parts showing
We will use the angle properties to determine the constituent angles.
We are given that a line segment ( BD ) is an angle bisector of < ABC. We will go ahead and represent this piece of information graphically as follows:
We will define the following angle as follows:
[tex]m\angle ABC\text{ = }\vartheta[/tex]The angle bisector ( BD ) divides the angle into two equal halves as follows:
[tex]m\angle ABD\text{ = m}\angle CBD\text{ = }\frac{\angle ABC}{2}=\frac{\vartheta}{2}[/tex]We are given expressions for both angles as follows:
[tex]\begin{gathered} m\angle ABD\text{ = 9x - 8 } \\ m\angle CBD\text{ = 6x + 1} \end{gathered}[/tex]We know from the property of angle bisector that the two constituent angles are equal i.e:
[tex]\begin{gathered} m\angle ABD\text{ = m}\angle CBD \\ 9x\text{ - 8 = 6x + 1} \\ 3x\text{ = 9} \\ \textcolor{#FF7968}{x}\text{\textcolor{#FF7968}{ = 3}} \end{gathered}[/tex]Now we can use the value of ( x ) calculated above and determine either of the constituent angles as follows:
[tex]\begin{gathered} m\angle ABD\text{ = 9}\cdot(3)\text{ - 8 = 19 degrees} \\ m\angle CBD\text{ = 6}\cdot(3)\text{ + 1 = 19 degrees} \end{gathered}[/tex]Then we can use the angle bisector property relation again to determine the angle ABC as follows:
[tex]\begin{gathered} m\angle ABD\text{ = m}\angle CBD\text{ = }\frac{\angle ABC}{2} \\ 19\text{ degrees = }\frac{\angle ABC}{2} \\ \textcolor{#FF7968}{\angle ABC}\text{\textcolor{#FF7968}{ = 38 degrees}} \end{gathered}[/tex]Answer:
[tex]\begin{gathered} \textcolor{#FF7968}{x}\text{\textcolor{#FF7968}{ = 3}} \\ \textcolor{#FF7968}{\angle ABC}\text{\textcolor{#FF7968}{ = 38 degrees}} \end{gathered}[/tex]as a group. determine how many different chicken sandwiches he can pick from by taping in the 3 pieces of red yarn to the "chicken " index card and each end of the yarn to the "white", "wheat", or "Italian " cards. what sandwiches options have you created?
Answer:
3 options.
Chicken - White
Chicken - Italian
Chicken - Wheat
Explanation:
This question can be better explained with a graphic:
You have an index card with the word "chicken", and 3 index cards with the words "white", "wheat", and "Italian", which are the options of bread.
Also we have represeted the red yarn with 3 black lines that connect the options.
We can see from the image that we have 3 options of sandwiches:
Chicken - White
Chicken - Italian
Chicken - Wheat
Sash has $80.000 in a savings account. The interest rate is 4% per year and is not compounded. How much interest will she earn in 5 years??
Answer:$16,000 in interest
Step-by-step explanation: well, you just take 4% of 80,000 which is $3200. (80,000x0.04=3200). Then because it is 5 years, just multiply the 3200 by 5 (there isn't compound interest.) 3200*5=16,000.
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A line's slope is 6, and its y-intercept is -3. What is its equation in slope-intercept form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.
Answer:
dihuyyh
Step-by-step explanation:
10) If f(x) = 7 – 4x and the domain is {-2,0, 3/4}, find the range.
For this case we have the following function given:
[tex]f(x)=7-4x[/tex]We also know that the domain is given by:
[tex]D=\left\lbrace -2,0,\frac{3}{4}\right\rbrace [/tex]and in order to find the range we need to use the domain given:
[tex]f(-2)=7-4(-2)=7+8=15[/tex][tex]f(0)=7-(4\cdot0)=7[/tex][tex]f(\frac{3}{4})=7-4\cdot\frac{3}{4}=7-3=4[/tex]So then the range for this case would be given by:
[tex]R=\left\lbrace 15,7,4\right\rbrace [/tex]Evaluar la expresion numérica -8.5 (9.4 a 6.1
answer: b) - 28.05
PLEASE HURRY ILL GIVE BRAINALIEST!!!
Almost 7 over 16 of the total water supplied to a household is wasted because of leaky faucets. Determine the decimal equivalent of 7 over 16 .
Use words to explain if the decimal terminates or repeats.
The decimal equivalent of 7 over 16 is 0.4375 .
What is 7/16 as a decimal?Fractions and decimals are two ways to represent the same numbers. A decimal number can be defined as a number whose whole number part and the fractional part is separated by a decimal point. A fraction is represented as a numerical value that is defined as a part of a whole.
We will convert the given fraction 7/16 to a decimal number.
To convert any fraction to a decimal, we just need to divide its numerator by denominator.
Here the fraction is 7/16 which means we need to perform 7 ÷ 16 = 0.4375.
So, 7/16 as a decimal is 0.4375.
Thus, 7/16 as a decimal is equal to 0.4375
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