In class, joe notices a triangular shaped desk. leg a is 4 and leg b is 10. find<br> c.

The sum of two numbers is 25. One number is twice the second number plus seven. What are the two numbers ?

Hoochie [10]

Answer:

the two numbers are 19 and 6

Step-by-step explanation:

so we know that there are two numbers that added together give us 25

x+x=25

one of the numbers is twice the amount of the second plus 7

(2x+7)+x=25

simplify 2x+7+x

3x+7=25

subtract 7 from both sides

3x=18

divide 3 by both sides

x=6

and there is your answer.

4 0

3 years ago

what is the center and radius of the circle given the equation, 8x + x-squared - 2y + y-squared - 64 = 0?

RoseWind [281]

Step-by-step explanation:

8x + x² - 2y + y² - 64 = 0

(x + 4)² + (y - 1)² - 81 = 0

(x + 4)² + (y - 1)² = 81

Hencr the center is (-4,1) and the radius is 9.

7 0

2 years ago

What is the slope of the line shown in the graph? (See picture)

iogann1982 [59]

Answer:

Remember rise over run for the slope.

the slope is always the number on the left side (x) and the y intercept is the number in the right (y)

(x,y).

6 0

2 years ago

If triangle CDE is dilated by a scale factor of 1/5 with a center of dilation at vertex E, what is the area of triangle C'D'E'?

timurjin [86]

The correct answer would be Choice B: 4 square units.

When the scale factor is 1/5, that means the lengths of the sides are 1/5 of the original size. So instead of having a base of 20 and height of 10, the new triangle has a base of 4 and a height of 2.

The area of the triangle is: (4 x 2) / 2 = 4

8 0

3 years ago

Read 2 more answers

What is the answer to this solution. -7r−4≥ 4r+2

tia_tia [17]

Answer:

The solution is:

$-7r-4\ge \:\:4r+2\quad \::\quad \:\begin{bmatrix}\mathrm{Solution:}\:&\:r\le \:\:-\frac{6}{11}\:\\ \:\:\mathrm{Decimal:}&\:r\le \:\:-0.54545\dots \:\\ \:\:\mathrm{Interval\:Notation:}&\:(-\infty \:\:,\:-\frac{6}{11}]\end{bmatrix}$

Please check the attached line graph below.

Step-by-step explanation:

Given the expression

$-7r-4\ge \:4r+2$

Add 4 to both sides

$-7r-4+4\ge \:4r+2+4$

Simplify

$-7r\ge \:4r+6$

Subtract 4r from both sides

$-7r-4r\ge \:4r+6-4r$

Simplify

$-11r\ge \:6$

Multiply both sides by -1 (reverses the inequality)

$\left(-11r\right)\left(-1\right)\le \:6\left(-1\right)$

Simplify

$11r\le \:-6$

Divide both sides by 11

$\frac{11r}{11}\le \frac{-6}{11}$

Simplify

$r\le \:-\frac{6}{11}$

Therefore, the solution is:

$-7r-4\ge \:\:4r+2\quad \::\quad \:\begin{bmatrix}\mathrm{Solution:}\:&\:r\le \:\:-\frac{6}{11}\:\\ \:\:\mathrm{Decimal:}&\:r\le \:\:-0.54545\dots \:\\ \:\:\mathrm{Interval\:Notation:}&\:(-\infty \:\:,\:-\frac{6}{11}]\end{bmatrix}$

Please check the attached line graph below.

7 0

2 years ago

In class, joe notices a triangular shaped desk. leg a is 4 and leg b is 10. find c.