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3 years ago

Find the value of x so that the polygons have the same perimeter.

Mathematics

1 answer:

Novosadov [1.4K]3 years ago

4 0

Answer: x=4

Step-by-step explanation:

The perimeter´s formula for this kind of polygons is

The triangle perimeter would be:

(x+2)+(x+3)+(x+3)

And the rectangle:

(x+2)+(x+2)+x+x

For them to have the same value, we should equal them:

(x+2)+(x+3)+(x+3)=(x+2)+(x+2)+x+x

Working with this:

3x+8=4x+4

x=4

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St lies on the coordinate plane with s located at (3.2). The midpoint of dt is z(3,9) state the location of the endpoint T thank

77julia77 [94]

Answer:

T = (3,16)

Step-by-step explanation:

The midpoint formula is just another version of the pythagorean theorem, and it states that the midpoint between (x1,y1) and (x2,y2) is $\left(\frac{x_1+x_2}{2}\right),\:\left(\frac{y_1+y_2}{2}\right)$

Substituting what we know:

endpoint S is (3,2) and endpoint T is (x2,y2)

Midpoint Z is (3,9). We will apply the formula -- backwards.

$\left(\frac{3+x_2}{2}\right)=3$ , solving with algebra we get x2 = 3

So the x-coordinate of endpoint T is 3.

$\left(\frac{2+y_2}{2}\right)=9\quad$ , solving with algebra, we get y2 = 16.

So the y-coordinate of endpoint T is 16.

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3 years ago

What is the y-intercept for the function f(x) = 2 x 5^x + 4

lesya [120]

Answer:

Step-by-step explanation:

We can find y-intercept by substituting 0 for x in the equation.

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y=2*5^0+4=2*1+4=2+4=6

y intercept is 6

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2 years ago