Answer:
-4x² - 2x - 2
Step-by-step explanation:
(-4x3 - 22x2 - 12x - 10) ÷ (x + 5)
-5 | -4 -22 -12 -10
↓ 20 10 10
-----------------------------------
-4 -2 -2 0
-4x² - 2x - 2
I hope this helps!
Determine whether the triangles are simiar by AA-, SSS-, SAS-, or not similar. If the triangles are similar, write a valid similarity statement.
SAS property, both triangles are similar.
Define SAS postulate.The two triangles are congruent if we can demonstrate that two sides and the included angle of one triangle are congruent with two sides and the included angle of another triangle. The Side Angle Side Postulate, or SAS, is what this states. The triangles are congruent if two sides and the included angle of one triangle are equivalent to two sides and the included angle of another triangle. According to the SAS postulate, two sides and one angle (between the sides) of one triangle must be identical to two sides and one angle of another for two triangles to be considered congruent.
Given,
To prove triangles are similar,
ST = VW
∠STU = ∠ UVW (GIVEN)
SU = UW
By SAS property, both triangles are similar.
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What’s the correct answer answer asap for brainlist
mRNA full form Messenger RNA (ribonucleic acid) which is a type of RNA found in cells.
A transcript of information from DNA. They carry the information from the DNA of the nucleus of the cell to the cytoplasm where the proteins are manufactured. Thus it is also called messenger RNA.
It carries genetic information which we will use to make proteins. They are necessary for protein formation.
In cells, mRNA uses the information to make a map or a blueprint for making proteins. Once cells finish making a protein, they break down the mRNA.
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James has already saved $68 for the $200 video game system.
If he earns $5.50 per hour in his job, how many hours does he need to work to earn the
remainder of the money he needs to buy the video game system?
Answer: 24 hours
Step-by-step explanation:
First, we will find what he needs to make still.
$200 - $68 = $132
Next, we will divide by $5.50 to find the hours needed since he makes $5.50 per hour.
$132 / $5.50 = 24 hours
x2 + 2x - 1 = 0 solve for x
Answer:
Ohio state university football roster
1. Charlene wants to center a rectangular pool in her backyard so that the edges of the pool are an equal distance from the edges of the yard on all sides. The yard currently measures 60 m by 50 m. She wants to use ½ of the area of the yard for the pool. Create an equation for the pool’s dimensions and solve for the distance the pool is from the edge of the yard. Round your final answer to the nearest tenth of a meter.
First, we have to calculate the length of the sides of the pool, we are told that the scale factor of the backyard to the pool size equals 1/2, then we can find the length of the sides of the pool by multiplying the lengths of the sides of the backyard by 1/2, like this:
length of the pool = length of the yard * 1/2
width of the pool = width of the yard * 1/2
By replacing the 60 m for the length of the yard and 50 m for the width, we get:
length of the pool = 60 * 1/2 = 30
width of the pool = 50 * 1/2 = 25
Let's call x1 to the distance from the base of the pool to the bottom side of the yard and x2 to the distance from the top side of the pool to the top side of the yard, then we can formulate the following equation:
width of the yard = width of the pool + x1 + x2
Since we want the edges to be at an equal distance, x1 and x2 are the same, then we can rewrite them as x:
width of the yard = width of the pool + x + x
width of the yard = width of the pool + 2x
Replacing the known values:
60 = 30 + 2x
From this equation, we can solve for x to get:
60 - 30 = 30 - 30 + 2x
30 = 2x
30/2 = 2x/2
15 = x
x = 15
Now, let's call y1 to the distance from the right side of the corresponding side of the yard and y2 to the distance from the left side of the pool to the left side of the yard, with this, we can formulate the following equation:
length of the yard = length of the pool + y1 + y2
Since we want the edges to be at an equal distance, y1 and y2 are the same, then we can rewrite them as y:
length of the yard = length of the pool + y + y
length of the yard = length of the pool + 2y
Replacing the known values:
50 = 25 + 2y
50 - 25 = 25 - 25 + 2y
25 = 2y
25/2 = 2y/2
12.5 = y
y = 12.5
Now, we know that the pool must be at a distance of 15 m from the horizontal sides of the pool to the horizontal sides of the yard and that it must be at a distance of 12.5 m from the vertical sides of the pool to the vertical sides of the yards.
Here is a figure that depicts the results:
I need help i need to know what numbers go in this to equal 50
So here we have different options
[tex]\begin{gathered} 1\times8 \\ 2\times4 \\ 4\times2 \\ 8\times1 \end{gathered}[/tex]Find and solve a and b then verify the function
Hello!
We have the function f(x) = 3x.
The first step is to calculate the inverse function of f(x):First, let's replace where's f(x) by y:
f(x) = 3x
y = 3x
Now, let's swap the values of x and y:
y = 3x
x = 3y
Now we have to solve it to obtain y:
3y = x
y = x/3
So, we will have:
[tex]f(x)^{-1}=\frac{x}{3}[/tex]B. Reasoning:[tex]\begin{gathered} f(f^{-1}(x))=(3(\frac{x}{3})=x \\ \\ f^{-1}(f(x))=\frac{3x}{3}=x \end{gathered}[/tex]Image with the reasoning:
So, these equations are correct.
As it has no restrictions, this function is valid for all values of x.
Right answer: alternative A.
Obs: You'll have to type in the first box: x/3.
Solve for w.
2w²-7w=4
Answer:
w = 4
w = -1/2
Step-by-step explanation:
so first of all this looks like a quadratic equation . I say this because you can subtract 4 to get 0 on one side . so you will have 2w²-2w-4=0.
to solve quadratic equations you need to use the quadratic formula . keep in mind you can only use the quadratic formula when your own quadratic equation is set set equal to 0. quadratic formula is equal to:
x= (-b±sqrt(b²-4ac))÷2a
now because this is a quadratic you can identify the values x, b, a, and c. we know that if it is a quadratic equation then the equation will be ax²+ BX + C. this is the basic formula for a quadratic equation so your values will be a equals 2 and B = -7 and C equals -4 and W equals X .
now because we know these values we can substitute it into the quadratic formula that i mentioned earlier .
x=(-(-7) ± sqrt( (-7)²-(4×2×(-4)) ) ) ÷ (2×2)
when you're simplify this you get
x= (7±sqrt(49+32))÷4
x= 7±sqrt(81) ÷ 4
x= (7±9)÷4
for quadratics it's normal that the x value is going to be two different values so don't panic at that !
the first x value
x= (7+9)÷4
= 16÷4
=4
the second x value
x= (7-9)÷4
=(-2)÷4
=-1/2
now remember that we said W equals X so the value of w will be 4 or -1/2 .
Btw the explanation is in words (example: because ? And ? are alternate interior angles, ? Is congruent to ?)
We know that ∠1 ≅ ∠4
As you determined ∠2 is the supplement of ∠1 and ∠3 is the supplement of ∠4, since ∠1 and ∠4 are equal, you can conclude that ∠2 and ∠3 are also equal.
Point R is the midpoint of XY, which indicates that it divides the line into two equal segments XR and RY.
Segment XR is formed by segments XP and PR, following the segment addition postulate you can determine that:
[tex]XR=XP+PR[/tex]Segment RY is formed by segments RT and TY, so that:
[tex]RY=RT+TY[/tex]Following the substitution postulate, if XR and RY are equal, then:
[tex]XP+PR=RT+TY[/tex]We know that XP ≅ TY, sp they can be simplified from the sums and we get that:
[tex]PR=RT[/tex]Finally, ∠QRP and ∠SRT are at opposite sides of the X shape formed by the intersection of lines QS and PT, they share a vertex at point R. These angles are vertically opposite angles and therefore congruent, so that:
[tex]\angle\text{QRP}\cong\angle SRT[/tex]You can conclude that ΔPQR and ΔTSR are congruent by the Angle-Side-Angle postulate.
Find the area of the figure below. Use trigonometry and draw a diagram. No Pythagorean theorem.
The Solution.
Below is the given figure, which is a rhombus, since all the sides are equal.
For a rhombus, the diagonals intersect at a right angle, that is, 90 degrees.
Considering right-angled triangle DOC:
We shall find the length of the unknown diagonal by applying the Pythagorean Theorem.
[tex]\begin{gathered} x^2+12^2=13^2 \\ x^2+144=169 \\ x^2=169-144=25 \\ \text{Taking the square root of both sides, we get} \\ x=\sqrt[]{25}=\pm5 \\ x=5\text{ (discard x=-5)} \end{gathered}[/tex]So, the unknown diagonal is
[tex]AC=2\times OC=2\times5=10[/tex]Now, the area of the given figure can be calculated with the formula below:
[tex]\text{Area =}\frac{1}{2}(BD\times AC)=\frac{1}{2}(24\times10)=24\times5=120\text{ square units}[/tex]Hence, the correct answer is 120 square units.
Based on a survey, assume that 47% of consumers are comfortable having drones deliver their purchases. Suppose
that we want to find the probability that when six consumers are randomly selected, exactly four of them are
comfortable with delivery by drones. Identify the values of n, x, p, and q.
The value of n is
(Type an integer or a decimal. Do not round.)
The values of n, x, p, and q are as follows: P = 0.47 q= 1-p=1-0.47=0.53 X=2 .
What is probability ?
Simply put, probability is the likelihood that something will occur. When we don't know how an event will turn out, we can discuss the likelihood or likelihood of several outcomes. Statistics is the study of events that follow a probability distribution.
How is probability determined?
The probability is computed by dividing the total number of possible outcomes by the number of possible ways the event could occur. Probability and odds are two distinct ideas. Odds are calculated by dividing the likelihood of an event by the likelihood that it won't.
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? QuestionType the correct answer in each box.АаFind the solution for this system of equations.:))2x + 4y = 8x = 3y - 6Holax=y =
The solution for the system of equations is:
x = 0
y = 2
Explanation:Given the pair of equations:
2x + 4y = 8 ........................................................(1)
x = 3y - 6 ............................................................(2)
Substitute the expression of x in (2) into (1)
2(3y - 6) + 4y = 8
6y - 12 + 4y = 8
6y + 4y = 8 + 12
10y = 20
y = 20/10 = 2 ......................................................(3)
Substitute the value of y in (3) into (2)
x = 3(2) - 6
= 6 - 6
= 0
Therefore,
x = 0, and y = 2
Question 1 - You need to FIRST convert the adult male blue whale's weight to kg.1. Two of the largest mammals on earth are the blue whale and the African elephant. An adult male blue whaleweighs about 170 tonnes or long tons. (1 tonne - 1000 kg)Show that the weight of an adult blue whale is 1.7 x 105 kgYour answer
we have
170 tonnes
1 tonne - 1000 kg
Convert tonnes to kg
Multiply the weight in tonnes by 1000
so
170 tonnes=170(1,000)=170,000 kg
Convert to scientific notation.
170,000=1.7(100,000)=1.7 x 10^5 kg
Match the parts of the given Polynomial Card: then stack the unused cards together under the polynomial card.
EXPLANATIO:
Given;
We are given the following polynomial expression;
[tex]-13x-12x^2+97[/tex]Requred;
We are required to match the parts of the given polynomial.
Solution;
A polynomial expressed in standard form is written as shown below;
[tex]-12x^2-13x+97[/tex]The different parts are indicated as follows
[tex]\begin{gathered} Leading\text{ }coefficient=-12 \\ Constant=97 \\ Degree=2 \\ Variable=x \\ Coefficient=-13 \end{gathered}[/tex]PLEASE WILL GIVE BRAINIEST IF RIGHT THIS IS DUE TODAY PLEASE PLEASE
Can a triangle be formed with side lengths 15, 7, and 6? Explain.
No, because 7 + 6 < 15
No, because 6 + 7 > 15
Yes, because 15 + 7 > 6
Yes, because 15 + 6 < 7
Answer:
no because 7+6<15
Step-by-step explanation:
Answer:the first one a
Step-by-step explanation:
Which cube is a unit cube?
Responses
Answer:
A unit cube is a cube whose each side is 1 unit long
Step-by-step explanation:
Examples: a cube whose each side is 1cm or each side is 1 in etc
answers for the homework
The indefinite integral of ∫(2ti+j+8k)dt is t²i +tj+8tk+c.
Given the expression is ∫(2ti+j+8k)dt
The indefinite integrals, also known as the derivatives of functions, are integrals that can be computed using the process of differentiation in reverse.
Further approaches for resolving indefinite integrals include integration by parts, substitution, integration of partial fractions, and integration of inverse trigonometric functions.
now, ∫(2ti+j+8k)dt
= 2t²/2 i + tj +8tk
= t²i +tj+8tk+c
hence we get the indefinite integral as t²i +tj+8tk+c
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Solve please will give points
Answer:
rectangle: 20x10=200
Triangle: (11x6)/2=33
200+33=233
233=total area
Step-by-step explanation:
Im asian so...trust me
Is n = 6 a solution of the equation 3n + 5 = 22?
Given the equation
[tex]3n+5=22[/tex]n=6 will be a solution of the equation if when n=6 the result is equal to 22.
Therefore:
[tex]\begin{gathered} 3(6)+5 \\ 18+5=23 \end{gathered}[/tex]Answer: Since the result when n=6 is 23 and not 22 , n=6 is not solution of the equation.
f(x)= 5x-3
g(x)= 2x+4 /2
solve for f(2)
1. f^1(2)
2. f^1 (g) (2)
3. f (g^1) (2)
The solutions are;
1. f⁻¹ (2) = 1
2. f⁻¹ (g(2)) = 7 / 5
3. f (g⁻¹(2)) = - 3
What is mean by Function?
A relation between a set of inputs having one output each is called a function.
Given that;
The function are,
⇒ f (x) = 5x - 3
And, g (x) = (2x + 4) / 2
Now,
The solution of the functions are;
Since, The function is;
f (x) = 5x - 3
To find the inverse of the above as;
f (x) = 5x - 3
y = 5x - 3
Solve for x as;
y + 3 = 5x
x = (y + 3) / 5
Substitute x = f⁻¹ (x) we get;
f⁻¹ (x) = (x + 3) / 5
1. So, Substitute x = 2 as;
f⁻¹ (x) = (x + 3) / 5
f⁻¹ (2) = (2 + 3) / 5
f⁻¹ (2) = 5 / 5
f⁻¹ (2) = 1
2. Find the value of f⁻¹ (g(2)) as;
⇒ f⁻¹ (g(2)) = f⁻¹ (2 + 2)
= f⁻¹ (4)
= (4 + 3) / 5
= 7 / 5
Thus, f⁻¹ (g(2)) = 7 / 5.
3. Find the value of f (g⁻¹(2)) as;
The value of g⁻¹ (x) as;
g (x) = (2x + 4) / 2
g (x) = x + 2
Substitute g (x) = y and solve for x as;
g (x) = x + 2
y = x + 2
x = y - 2
Substitute x = g⁻¹ (x);
g⁻¹ (x) = x - 2
So, g⁻¹ (2) = 2 - 2 = 0
Hence,
⇒ f (g⁻¹(2)) = f (0)
= 5 × 0 - 3
= - 3
Thus, f (g⁻¹(2)) = - 3
Therefore, The solutions are;
1. f⁻¹ (2) = 1
2. f⁻¹ (g(2)) = 7 / 5
3. f (g⁻¹(2)) = - 3
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Classic Car Monthly charges $49 for a 3-line classified ad. Each additional line costs $9.50. For an extra $30, a seller can include a photo. How much would a 5-line ad with a photo cost?
Answer:
$98
Step-by-step explanation:
Classic Car Monthly charges $49 for a 3-line classified ad. Each additional line costs $9.50. For an extra $30, a seller can include a photo. How much would a 5-line ad with a photo cost?
base,3-line cost: $49
additional cost for 2-lines: 2* 9.50 = $19
photo cost: $30
cost: 49 + 19 + 30 = $98
[This answer does not take into account any sales tax]
Predict the length of the spring when 5.0 kg is attatched
step 1
Graph the given points
(0, 5)
(0.5,5.7)
(1, 6.5)
(1.5,6.7)
(2,8.5)
(2.5,9.5)
using a graphing tool
see the attached figure
Find out the equation of the line that best represents this situation
we take the points
(0,5.0) and (2, 8.5)
Find out the slope
m=(8.5-5.0)/(2-0)
m=3.5/2
m=1.75
the equation of the line is
y=1.75x+5
therefore
For x=5.0 kg
substitute
y=1.75(5.0)+5
y=13.75 cmis 3 a factor of 12
Answer:YES
Step-by-step explanation:
Answer:
Yes
Step-by-step explanation: the factors of 12 are 1,2,3,4,6 and 12
what are the solutions of the compound inequality 2d + 3 < -11 or 3d - 9 > 15
Answer:
d ≤ –7 or d > 8.
Step-by-step explanation:
Given : 2d + 3 ≤ –11 or 3d – 9 > 15.
To find : What are the solutions of the compound inequality .
Solution : We have given 2d + 3 ≤ –11 or 3d – 9 > 15.
For 2d + 3 ≤ –11
On subtracting both sides by 3
2d ≤ –11 - 3 .
2d ≤ –14.
On dividing both sides by 2 .
d ≤ –7.
For 3d – 9 > 15.
On adding both sides by 9.
3d > 15 + 9 .
3d > 24 .
On dividing both sides by 3 .
d > 8 .
So, A. d ≤ –7 or d > 8.
Therefore, A. d ≤ –7 or d > 8.
help me slove for x pleaae and thank yu
SOLUTION
Triangle FGH is similar to triangle ABC
Therefore the ratio of their corresponding sides will be equal.
That is
[tex]\begin{gathered} \frac{FG}{BA}=\frac{GH}{BC}\text{ = }\frac{FH}{CA} \\ \\ So\text{ let's take just these sides ratios } \\ \frac{GH}{BC}\text{ = }\frac{FH}{CA} \\ \\ \frac{7}{14}=\frac{6}{x} \\ \text{cross multiply } \\ 7x\text{ = 6x14} \\ x\text{ }=\text{ }\frac{84}{7} \\ x\text{ = 12} \end{gathered}[/tex]Therefore, x = 12
Which of the following is an irrational number?A. VoB. 73C. 1.36D. -0.19
We have to identify the irrational number.
An irrational number is a number that can not be expressed as a fraction.
The first option is the square root of 0 which is equal to 0. It is an integer so it can be expressed as a fraction.
Then, it is not an irrational number.
The second option is the square root of 3. This does not have a solution that can be expressed as a fraction or a number with a finite number of decimals.
Then, it can be considered an irrational number.
The third option is a periodic decimal. They can be expressed as fractions so they are not irrational numbers.
the fourth option is a negative decimal number, which can be expressed as decimal, like -19/100. Then, it is not an irrational number.
Answer: the only irrational number is √3 [Option B]
Find the y-intercept of the following line. y=14/17 x+14
The y-intercept of the line y = 14 / 17 x + 14 is 14.
How to find the y-intercept of a line?The equation of a line can be represented in different form such as slope intercept form, point slope form, standard form and general form.
Therefore, let's represent it in slope intercept form.
y = mx + b
where
m = slopeb = y-interceptTherefore, using the equation of a line in slope intercept form, the y-intercept of the equation y = 14 / 17 x + 14 is 14.
The y-intercept of a line is the value of y when x = 0.
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2. How many minutes are in a decade?
60 min 1 hour; 24 hours = 1 day ; 7 days = 1 week
52 weeks = 1 year; 10 years = 1 decade
Answer:
525600
Step-by-step explanation:
not gonna lie I looked this up thxs for the points and good luck
Help llllllllllliiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii
Answer:
Help with what? I do not see your question But it says there's something attached
Step-by-step explanation:
Hello, I need a bit of help with this question please.
To determine the initial length, we have to evaluate the given equation at x=0. Evaluating the equation, we get:
[tex]y=3\cdot0+59.[/tex]Therefore, the initial length of the road was 59 miles.
Now, notice that the given equation is a linear equation in slope-intercept form y=mx+b, where b is the slope, recall that the slope of a line represents the change of y compared to the change in x, in this case, miles per day.
Therefore, the change per day in the road's length is 3 miles.
Answer:
a) 59 miles.
b) 3 miles.
