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2 years ago

The perimeter of the triangle is equal to the area of the rectangle. What is the value of x?

Mathematics

1 answer:

elixir [45]2 years ago

6 0

Answer:

x=-21

Step-by-step explanation:

make the equation

2x+9x-1+40=6(x-11)

simplify

11x+39=6x-66

solve

5x=-105

x=-21

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Circle A has center of (2, 8), and a radius of 2 and circle B has a center of (5, 4), and a radius of 10. What steps will help s

SVETLANKA909090 [29]

Answer:

D.Dilate circle A by a scale factor of 5.

Step-by-step explanation:

We are given that

The center of circle A is (2,8) and radius of circle A is 2.

The center of circle B is (5,4) and radius of circle B is 10.

We have to find the steps will help to show that circle A is similar to circle B.

When two circles are similar it means the size of circles can be same or different.Therefore, radius of circles will be same or different.

But, the radius of circles are different.

Dilation: It is a transformation in which obtained figure is similar to the original figure.

Shape remains same but the size of figures are different.

Ratio of corresponding sides of two figures=Scale factor

When a circle is dilated then,

Ratio of radius of circle obtained after dilation to the radius of original circle= Scale factor

Scale factor= $\frac{10}{2}=5$

Hence, option D is true.

4 0

3 years ago

Find two integers whose sum is -1 and product is -42

Nastasia [14]

Answer:

6 and -7

Step-by-step explanation:

6 - 7 = -1

6 * -7 = -42

Hope this helped!

6 0

3 years ago

Read 2 more answers

If a ball is thrown into the air with a velocity of 34 ft/s, its height (in feet) after t seconds is given by y = 34t − 16t2. Fi

Finger [1]

<u>ANSWER: </u>

If a ball is thrown into the air with a velocity of 34 feet per second, then velocity of the ball after 1 second is 2 feet per second

<u>SOLUTION: </u>

Given, a ball is thrown into the air with a velocity of 34 feet per second

Initial velocity (u) = 34 feet per second

And also given a relation between displacement and time = $\mathrm{y}=34 \mathrm{t}-16 \mathrm{t}^{2}$ --- eqn 1

We need to find the velocity when t = 1 ; v = ?

We know that, v = u + at and $\mathrm{s}=\mathrm{ut}+\frac{1}{2} \mathrm{at}^{2}$

where v is instantaneous velocity and u is initial velocity

a is acceleration

t is time interval

s is displacement

using the displacement and time relation eqn (1) we get

Now, when t = 1, displacement s = 34(1) – 16(1)

$\mathrm{ut}+\frac{1}{2} \mathrm{at}^{2}=34-16$

$34 \times 1+\frac{1}{2} \times a \times 1^{2}=18$

$34+\frac{a}{2}=18$

$\begin{array}{l}{\frac{a}{2}=18-34} \\\\ {\frac{a}{2}=-16} \\ {a=-16 \times 2} \\ {a=-32}\end{array}$

here, -ve sign indicates that object is in deceleration . so acceleration is -32 ft/s

now put a value in v = u + at

v = 34 + (-32)(1)

v = 34 – 32

v = 2 ft/s

Hence, velocity of the ball after 1 second is 2 ft/s

6 0

3 years ago

Use the diagram below to find the missing angle measures

ruslelena [56]

Answer:

I have attached the answers below and how i got the answers :)

Hope this helps!

6 0

3 years ago

More people leave Anytown, AL each year than move into it. The population over the past 20 years is shown in the table. Use tech

Phoenix [80]

The equation that models the exponential decline is y = 46348587109809610(0.9861)ˣ if the population over the past 20 years is provided.

A mathematical notion called the line of the best fit connects points spread throughout a graph. It's a type of linear regression that uses scatter data to figure out the best way to define the dots' relationship.

Let's suppose the equation that models the exponential decline is:

$\rm y = a(b^x)$

From the data given, we can calculate the value of a and b:

a = 46348587109809610

b = 0.9861

y = 46348587109809610(0.9861)ˣ

Thus, the equation that models the exponential decline is y = 46348587109809610(0.9861)ˣ if the population over the past 20 years is provided.

Learn more about the line of best fit here:

brainly.com/question/14279419

#SPJ1

6 0

2 years ago