What is the length of leg s of the triangle below?

You are making a poster that will have a uniform border, as shown. the total area of the poster is 722 square inches. find the w

olga55 [171]

I FOUND YOUR COMPLETE QUESTION IN OTHER SOURCES.
PLEASE SEE ATTACHED IMAGE.
For this case the area is given by:
A = (22 + x) * (28 + x) = 722
Rewriting we have:
616 + 22x + 28x + x ^ 2 = 722
x ^ 2 + 50x + 616 - 722 = 0
x ^ 2 + 50x - 106 = 0
Solving the polynomial we have:
x1 = 2.04
x2 = -52.04
We take the positive root:
x = 2.04 inches:
Answer:
The width of the border to the nearest inch is:
x = 2inches

6 0

3 years ago

I am doing a project in my math class where we create a picture with functions and needed an egg curve. I finally figured out th

matrenka [14]

Let's solve this problem step by step.

In Figure 1 you have the graph of this equation. In fact, it is an egg curve as you can see, the question is asking for shifting the curve vertically and horizontally, so what you need to do is the following:

First. Shifting the curve horizontally (to the left).

Suppose you want to get the curve when the center of the egg matches with the origin of the Cartesian plane, so you need to shift the curve to the left. To do this add 40 units to the x-coordinate, so:

 $[(x+40)^2+y^2]^2=80(x+40)^3+9(x+40)y^2$

This shift is shown in Figure 2

Second. Shifting the curve horizontally (to the right).

Suppose you want to shift the curve 40 units to the right, then you need to subtract 40 units from the x-coordinate like this:

 $[(x-40)^2+y^2]^2=80(x-40)^3+9(x-40)y^2$

This shift is shown in Figure 3

Third. Shifting the curve vertically (upward)

Suppose you want to shift the curve 40 units upward, then you need to subtract 40 units from the y-coordinate like this:

 $[x^2+(y-40)^2]^2=80x^3+9x(y-40)^2$

This shift is shown in Figure 4

Fourth. Shifting the curve vertically (downward)

Suppose you want to shift the curve 40 units downward, then you need to add 40 units to the y-coordinate like this:

 $[x^2+(y+40)^2]^2=80x^3+9x(y+40)^2$

This shift is shown in Figure 5

8 0

3 years ago

How can one fourthx − 3 = one halfx + 8 be set up as a system of equations?

Delvig [45]

The answer is B.

The reason being is that in this option they have set both sides of the equation separately equal to y. Since they are equal to each other, they would both have to be equal to an unknown y. This would look like this.
y = 1/4x - 3
y = 1/2x + 8.

Then to remove the fractions in each, they multiplied by the denominator associated with x. So, you multiply the first equation by 4.
4y = x - 12.
Then they solve for the numerical value at the end.
4y - x = -12.

You can do the same with the second equation.
y = 1/2x + 8
2y = x + 16
2y - x = 16

These are now the two equations above.

6 0

3 years ago

Can some on help me please

kati45 [8]

3 feet = 36 inches 4 yards = 13 feet 12 feet = 4 yards

5 0

3 years ago

Read 2 more answers

(7-15-3+5-7)×1 step by step

Tresset [83]

Answer:

-13

Step-by-step explanation:

(7−15−3+5−7)⋅1

Subtract 15 from 7 to get −8.

(−8−3+5−7)×1

Subtract 3 from −8 to get −11.

(−11+5−7)×1

Add −11 and 5 to get −6.

(−6−7)×1

Subtract 7 from −6 to get −13.

−13

6 0

2 years ago

Read 2 more answers