Answer:
14.87 units
Step-by-step explanation:
The sides of all right triangles share the same relationship known as the Pythagorean Theorem a² + b² = c². Substitute the lengths of the triangle into the theorem and solve for the unknown side. Since the problem does have an attached a picture, assume that a = 10, b = 11, and c = x.
10² + 11² = x²
100 + 121 = 221²
221 = x²
√221 = √x²
14.87 = x
Answer:
Step-by-step explanation:
3x - 95 = -4x + 31
3x + 4x = 31 + 95
7x = 126
x = 126/7
x = 18
Answer: The answer is 21.25 pounds.
Step-by-step explanation: Given that the weight of Akoala is 20 pounds. Also, she is carrying her joey with her having weight 20 ounces. We need to find the combined weight of the adult Akoala and her joey in ounces.
For that, first we need to conver ounces to pounds.
We know

Therefore, the combined weight is given by

Thus, the answer is 21.25 pounds.
Answer:
x = -3
Step-by-step explanation:
Given the following points: (-1, 4) (x, 5); and the slope (m = -1/2):
We can use the point-slope formula to find the equation of the line:

Let
= (-1, 4)
m = -1/2
Plug these values into the point-slope formula:




Add 4 on both sides:

The linear equation in slope-intercept form is:

Next, plug in the y-coordinate of the ordered pair, (x, 5) to solve for the missing x-cooridnate:


Subtract
from both sides:

Divide both sides by
to solve for x:
-3 = x
Therefore, the missing x-coordinate of the ordered pair, (x , 5) is 3.