Answer:
Explanation:
-4y - 3x = -11 (1)
x - 2y = 17 (2)
x = 17 + 2y
Substitute x value in (1)
-4y - 3(17 + 2y) = -11
-4y - 51 - 6y = -11
-10y - 51 = -11
-10y = -11 + 51
-10y = 40
y = 40/-10
y = -4
Substitute the y value in (2)
x - 2(-4) = 17
x + 8 = 17
x = 17 - 8
x = 9
Therefore, x = 9 and y = -4
Answer:
s = 15 in (positive square root of 225)
Step-by-step explanation:
A = 225 in²
side of square mosaic is sq. root of 225 = 15 in
therefore the side (s) = 15 in
Answer: -0.95
Step-by-step explanation:
The value that explains the least-squares regression line is 90% or 0.9, and is also r^2.
You would just square root r^2 and get r=0.948. since the relationship is negative, r= -0.948, or -0.95
<h2>19.</h2><h3>Given</h3>
- window width and height are in proportion to building width and height
- window width and height are 11 in and 18 in, respectively
- building height is 108 ft
<h3>Find</h3>
<h3>Solution</h3>
The proportional relation can be written as
... (building width)/(building height) = (window width)/(window height)
Multiplying by (building height) gives
... (building width) = (building heigh) × (window width)/(window height)
... (building width) = 108 ft × (11 in)/(18 in)
... building width = 66 ft
<h2>21.</h2><h3>Given</h3>
- map distance = 6.75 in
- map scale = 1.5 in : 5 mi
<h3>Find</h3>
<h3>Solution</h3>
The distances are in proportion, so
... (map distance) : (actual distance) = 1.5 in : 5 mi
Multiplying by (5 mi)/(1.5 in)×(actual distance), we have
... (5 mi)/(1.5 in)×(6.75 in) = (actual distance) = 22.5 mi