Evaluate the expression 7x to the power of 2y, when x = 5 and y = 3.

I DONT KNOW THESE! HELP!

kkurt [141]

Answer:

20. x = 5, y = -2

21. x = 11, y = 12

22. x = 22, y = 11

23. x = 11, y = 10

Step-by-step explanation:

20. Opposite sides in the parallelogram are congruent, so

$2y+18=3x-1\\ \\6x-3=17-5y$

Solve this system of two equations:

$\left\{\begin{array}{l}2y-3x=-19\\ \\6x+5y=20\end{array}\right.$

Multiply the first equation by 2 and add two equations:

$2(2y-3x)+6x+5y=2\cdot (-19)+20\\ \\4y-6x+6x+5y=-38+20\\ \\9y=-18\\ \\y=-2$

Substitute it into the first equation:

$2\cdot (-2)-3x=-19\\ \\-3x=-19+4\\ \\-3x=-15\\ \\x=5$

21. Opposite angles in the parallelogram are congruent, so

$11x+5=10y+6$

Consecutive angles are supplementary, so

$6x-y+11x+5=180^{\circ}$

Solve this system of two equations:

$\left\{\begin{array}{l}11x-10y=1\\ \\17x-y=175\end{array}\right.$

From the second equation

$y=17x-175$

Substitute it into the first equation:

$11x-10(17x-175)=1\\ \\11x-170x+1750=1\\ \\-159x=-1749\\ \\x=11\\ \\y=17\cdot 11-175=187-175=12$

22. Opposite angles in the parallelogram are congruent, so

$2x-5=3y-12$

Consecutive angles are supplementary, so

$2x-5+7y+x=180^{\circ}$

Solve this system of two equations:

$\left\{\begin{array}{l}2x-3y=-7\\ \\3x+7y=185\end{array}\right.$

From the first equation

$x=-3.5+1.5y$

Substitute it into the second equation:

$3(-3.5+1.5y)+7y=185\\ \\-10.5+4.5y+7y=185\\ \\-105+45y+70y=1,850\\ \\115y=1,850+105\\ \\115y=1,955\\ \\y=17\\ \\x=-3.5+1.5\cdot 17=22$

23. Opposite sides in the parallelogram are congruent, so

$2x+9=4y-9\\ \\3x-5=2y+8$

Solve this system of two equations:

$\left\{\begin{array}{l}2x-4y=-18\\ \\3x-2y=13\end{array}\right.$

Multiply the second equation by 2 and subtract it from the first equation:

$2x-4y-2(3x-2y)=-18-2\cdot 13\\ \\2x-4y-6x+4y=-18-26\\ \\-4x=-44\\ \\x=11$

Substitute it into the first equation:

$2\cdot 11-4y=-18\\ \\-4y=-18-22\\ \\-4y=-40\\ \\y=10$

3 0

3 years ago

A plot of land is in the shape of a triangle. If one side is X meters, a second side Is (5x-2) meters and a third side is (7x-4)

lukranit [14]

Perimeter = x + 5x - 2 + 7x - 4

= 13x - 6 meters answer

6 0

3 years ago

Read 2 more answers

Write the point-slope form of the given line that passes through the points (0, 3) and (4, 0). Identify (x1, y1) as the x-interc

Oksi-84 [34.3K]

The point slope form of the line has the following form:

y – y1 = m (x – x1)

The slope m can be calculated using the formula:

m = (y2 – y1) / (x2 – x1)

m = (3 - 0) / (0 – 4) = - ¾

So the whole equation is:

y – 0 = - ¾ (x – 4)

y = - ¾ (x – 4) or

7 0

2 years ago

Explain why the point (-3,2) is diffrent from the point (2,-3)?

Georgia [21]

(-3,2) would result in the point moving over to the left and up 2. (2,-3) would be represented by going to the right 2 units, and down 3.

5 0

2 years ago

PLEASE HELP DUE IN 40 MINS!! Using the Law of Sines, find the exact answer for x.

Savatey [412]

Answer:

Step-by-step explanation:

Sin(30) / X = Sin(45) / 12

use algebra to isolate X

1 / X = [ Sin(45) / 12 ] / Sin(30)

flip both sides

X = Sin(30) / [Sin(45) /12 ]

invert the denominator on the right side

X = Sin(30) * 12/ Sin(45)

Do you know what Sin(30) is off the top of your head?

and also Sin(45) ?

these are worth remembering... and you can b/c they are just

sin(0) = 0/2

sin(30) = 1 / 2

sin(45) = $\sqrt{2}$ /2

sin(60)= $\sqrt{3}$ / 2

sin(90) = $\sqrt{4}$ / 2 (aka 1)

note the numerators just counts up 0, 1, 2, 3, 4 :)

Cos works the same way but counts from 90° back to 0 but exactly like sin other wise, hence why Cos and Sin both = $\sqrt{2}$ /2 at 45 °

anyway

X = 1 / 2 * 12/ $\sqrt{2}$ /2

X = 3 $\sqrt{2}$

A=3

B= 2

:) nice , huh

8 0

2 years ago