The vertices of an isosceles triangle are a(3, 6), b(7, 2), and c(4, 3). what is the equation of the triangle's line of symmetry?
y = x + 1
y = x - 1
y = x
y = -x + 1

The product of the functions is  2x³ + 8x² - 2x - 20. Then the correct option is C.

A function is a statement, rule, or law that establishes the connection between two variables. In mathematics, functions are everywhere and are necessary for constructing physical connections.

The functions are given below.

f(x) = x² + 2x - 5

g(x) = 2x + 4

Then the product of the functions will be given as

(f•g)(x) = f(x) × g(x)

(f•g)(x) = (x² + 2x - 5) × (2x + 4)

(f•g)(x) = 2x³ + 8x² - 2x - 20

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Answer:

Step-by-step explanation:

A” (-2,2)

B” (-1,-2)

C” (-4,-4)

Answer:

A''(-1,5)

B''(0,1)

C''(-3,7)

57

Step-by-step explanation:

$ 9.50 -> 1 hr

? -> 6 hrs

9.50(6) = $ 57

The total time spent in minutes is 110 minutes

The given parameters are:

The total time is calculated as:

Total = Erica + Sean

So, we have:

Total = 1 hour, 15 minutes + 35 minutes

1 hour = 60 minutes

So, we have:

Total = 60 minutes + 15 minutes + 35 minutes

Evaluate the sum

Total = 110 minutes

Hence, the total time spent is 110 minutes

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Answer: B'(-4, -4)

Given : A(1, 2), B(-1, -1), C(0, -2)

"Focusing on B coordinates"

If the points are dilated with a scale factor of 4

Then new coordinates : (-1, -1) × 4 = B'(-4, -4)

Answer:

B' = (-4, -4)

Step-by-step explanation:

Dilation:  A type of transformation that makes the pre-image larger or smaller without changing its shape.

Center of a dilation:  a fixed point about which all points are dilated.

Given:

For dilation when the center of dilation is the origin (0, 0), simply multiply the coordinates of the vertices of the pre-image by the given scale factor to find the image under dilation:

Therefore:

A' = (1 x 4, 2 x 4) = (4, 8)

B' = (-1 x 4, -1 x 4) = (-4, -4)

C' = (0 x 4, -2 x 4) = (0, -8)

The rate of compounding on the investment is 20%.

What is the rate of compounding?
When an amount compounds annually, it means that both the amount invested and the interest accrued increases in value once a year.

The formula that can be used to determine the rate of compounding is: (FV / PV)^(1 /n)

Where:

(216,000 / 125000)^ (1 / 3) - 1 = 20%

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Answer:

7.2111

Step-by-step explanation:

14 squared times 12 squared= squareroot ofmissing angle

The store must sell 60 of each set each to obtain the biggest possible income

The given parameters can be represented using the following table:

                        Set 1        Set 2     Available

Notebook         2                3         300

Pen                   1                  1          120

Selling price     8               11.5

Using the above data values, we have:

Objective function: Max P = 8x + 11.5y

Subject to:

2x + 3y ≤ 300

x + y ≤ 120

Next, we plot the graph of the above inequalities (see attachment)

From the attached graph, we have:

(x,y) = (60,60)

Hence, the store must sell 60 of each set each to obtain the biggest possible income

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Answer:

b because it can't be full number

Answer:

Sital is right

Step-by-step explanation:

This is because there are 10mm in a cm so therefore you would times 2.5cm by 10 to get 25mm

Answer:

  The sine of the angle = the length of the opposite side. the length of the hypotenuse.

  The cosine of the angle = the length of the adjacent side. the length of the hypotenuse.

  The tangent of the angle = the length of the opposite side. the length of the adjacent side.

Step-by-step explanation:

Answer:

c = a√2

Step-by-step explanation:

Apply the 45º-45º-90º Triangle Theorem to find the length of the hypotenuse of the triangle.

since there is no measure, I will write you the formula:

c (hypotenuse) = a√2

Considering the given quadratic function, the correct statement is given by:

The airplane reaches its maximum height of 95 feet in 10 seconds.

The equation of a quadratic function, of vertex (h,k), is given by:

y = a(x - h)² + k

In which a is the leading coefficient. If a > 0, the vertex is a minimum point, and if a < 0 it is a maximum point.

In this problem, the function is:

h(t) = -(t - 10)² + 95.

Hence the vertex is (10, 95), and since a < 0, the correct statement is given by:

The airplane reaches its maximum height of 95 feet in 10 seconds.

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Randy should begin his homework by 07:10 in order to sleep by 10:00

The given parameters are:

If the above activities are done, the time spent would be:

Time = 45 minutes + 40 minutes + 1 hour and 15 minutes + 10 minutes

Add the time

Time =  2 hour and 50 minutes

He wants to go to bed by 10:00.

So, the time to begin his homework is:

Begin = 10:00 - 2 hour and 50 minutes

Evaluate the difference

Begin = 07:10

Hence, Randy should begin his homework by 07:10

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Answer:450 is the intercept. We see it when t=0 (where the line cross the y axis). -20 is the slope

Step-by-step explanation: y = 20 is a thing no one would ever solve for but to do it, 20=450-20t -> y =20 when t=(20-450)/20. I don’t know why anyone would ever need to find this value

The area of the triangle based on the information given is 16.67 inches ²

It should be noted that the area of a triangle is given by the formula:

= 1/2 × base × height

In this second figure, the height will be:

= 5.9² - (3.4/2)²

= 5.9² - 1.7²

= 34.81 - 2.89

= 5.65

The area will be:

= 1/2 × base × height

= 1/2 × 5.65 × 5.9

= 16.67 inches ²

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The arrangement of the numbers in the ascending order will be 11, 13, and 17.

The complete question is given below.

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

Ali picked a three number from a hat.

The lowest number was 11.

The range was 13.

The median was 17.

The arrangement of the numbers in the ascending order. Then we have,

11, 13, and 17.

The arrangement of the numbers in the ascending order will be 11, 13, and 17.

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Answer:

6 3/4

Step-by-step explanation:

Answer:

6 3/4

Explanation:

0.75 is the result of dividing 3 by 4, which is the previous point but inversed.

The equation for the functions g₁(x), g₂(x), and g₃(x) are (x + 3)²,  (x + 3)² + 5, and -[(x + 3)² + 5] respectively.

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have a function:

f(x) = x²

We have:

g₁(x)  which is a transformed function of f(x)

f(x) shifted three units to the left.

Plug x → (x + 3)

g₁(x) = (x + 3)²

Similarly,

Equation for the function whose graph is in the shape of g₁(x), but shifted five units up.

g₂(x) =  (x + 3)² + 5

Equation for the function whose graph is in the shape of g₂(x), but reflected in the x-axis.

g₃(x) =  -[(x + 3)² + 5]

Thus, the equation for the functions g₁(x), g₂(x), and g₃(x) are (x + 3)²,  (x + 3)² + 5, and -[(x + 3)² + 5] respectively.

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Answer: Domain: x<-2 Range: y>1

Step-by-step explanation:

I don't know for sure but I am taking the test and that was the outcome of the answer.

For both problems, we can use the section formula.

1) [tex]P=\left(\frac{(1)(1)+(5)(-9)}{6}, \frac{(1)(8)+(5)(3)}{6} \right)=\boxed{\left(-\frac{22}{3}, \frac{23}{6} \right)}[/tex]

2) [tex]Z=\left(\frac{(2)(7)+(1)(1)}{3}, \frac{((2)(5)+(1)(2)}{3} \right)=\boxed{(5, 4)}[/tex]

Answer:

45

Step-by-step explanation:

Flip the fraction, 1/5 to 5/1, and reverse the equation to a multiplication problem.

[tex]1/5 \rightarrow 5/1\\9 \cdot 5/1 = 45[/tex]

Let me know if you have questions or concerns.

Answer:

the missing angle of the triangle is 35

Step-by-step explanation:

180-90= 90-55= 35

Answer:

i agree with losesight57

Step-by-step explanation:

Answer:

x≥3

Step-by-step explanation:

Let's solve your inequality step-by-step. 5x−7≥8

Step 1: Add 7 to both sides.

5x−7+7≥8+7

= 5x≥15

Step 2: Divide both sides by 5.

5x/5≥15/5

= x≥3

The hourly earnings for career a are more spread out.

Career a has greater median hourly earnings than career.

Median is the number at the center of the dataset that is arranged either in ascending order or descending order.

The median of career A is 60.

The median of career b is 40

Spread refers to the range of the dataset. Career A has a greater range than career B.

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Divide by 3

Equating

Now

C

Answer:

C.  y = 20

Step-by-step explanation:

Given system of equations:

[tex]\begin{cases}3y = 18x + 6\\y = 2x + 14\end{cases}[/tex]

Multiply the second equation by 3:

[tex]\implies (3)y=(3)2x+(3)14[/tex]

[tex]\implies 3y=6x+42[/tex]

Subtract this from the first equation to eliminate 3y:

[tex]\begin{array}{r l}3y & = 18x+6\\-\quad3y&=6x+42\\\cline{1-2}0&=12x-36\end{array}[/tex]

Solve the resulting equation for x:

[tex]\implies 12x-36=0[/tex]

[tex]\implies 12x=36[/tex]

[tex]\implies x=3[/tex]

Substitute the found value of x into the original second equation and solve for y:

[tex]\implies y=2(3)+14[/tex]

[tex]\implies y=6+14[/tex]

[tex]\implies y=20[/tex]

Using the asymptote concept, the function with a vertical asymptote at x = 3 and an horizontal asymptote at [tex]y = -\frac{1}{2}[/tex] is given by:

[tex]f(x) = -\frac{x}{2(x - 3)}[/tex]

The vertical asymptote at x = 3 means that x = 3 is a root of the denominator, hence:

[tex]f(x) = \frac{g(x)}{x - 3}[/tex]

The horizontal asymptote at y = -1/2 means that:

[tex]\lim_{x \rightarrow \infty} f(x) = -\frac{1}{2}[/tex]

Which happens if [tex]g(x) = -\frac{x}{2}[/tex], hence the function is:

[tex]f(x) = -\frac{x}{2(x - 3)}[/tex]

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The area of the new patio if the original patio measures 13 feet by 13 feet is 133 ft².

Ezra has a square brick patio. he wants to reduce the width by 6 feet and

increase the length by 6 feet.

The area of the square is the measure of the space occupied by it. It is equal to the product of the measure of its two sides.

We need to write the expression for the new patio and the area of the new patio if the original patio measures 13 feet by 13 feet.

let x be the measure of the side of a square.

The length increased by 6 ft, so the new length=x+6.

The width decreased by 6 ft, so the new width=x-6.

The area is the product of length and width, so the new area is

l×w = (x+6)×(x-6)

Since the original side is 13 ft, the new length is 13+6 = 19 ft, and the new width is 13-6=7 ft.

So, the area is (19 ft)×(7 ft) = 133 ft²

Hence, the area of the new patio if the original patio measures 13 feet by 13 feet is 133 ft².

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Step-by-step explanation:

what is the formula for the area of a triangle ? hmm ?

area = baseline × height / 2

in our case (it does not matter for this question, if it is an isoceles triangle or not, the formula applies to all)

area = sqrt(5) × 1 / 2 = sqrt(5)/2 cm² = 1.118033989... cm²

Answer:

[tex]\huge\boxed{\sf Area = 1.12 \ cm^2}[/tex]

Step-by-step explanation:

Height = h = 1 cm

Base = b = √5 cm

Area = A = ?

[tex]\displaystyle Area = \frac{1}{2}(b)(h)[/tex]

[tex]\displaystyle Area = \frac{1}{2} (\sqrt{5} )(1)\\\\Area = \frac{\sqrt{5} }{2} \\\\Area = 1.12 \ cm^2\\\\\rule[225]{225}{2}[/tex]

The true statements about the sample include:

Sampling is the selection of a subset of individuals from within a statistical population to estimate the characteristics of the whole population.

The second sample is random because in the second sample, people were surveyed at random. Every sixth person that exited the grocery store was surveyed and this selection represents an unbiased sampling method of the general population.

The options include:

Which statements are true? Check all that apply.

A) The second sample is random.

B) The second sample is likely to be more representative of the population.

C) The first sample is likely to be more representative of the population.

D) The second sample will give a better representation because is it larger.

E) The first sample will give a better representation because it is smaller.

F) Community members are more likely to listen to the radio station an average of 12 hours a month than 20 hours a month.

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