Answer:
y = 1.5x + 1.5
Step-by-step explanation:
First, plot 2x + 3y = 15 on a graph. Then plot (1,3) on a graph. After that, draw a line that passes through (1,3) and forms 90 degrees angles with 2x + 3y = 15. Then find the equation of that line by finding the y-intercept (0, 1.5). Then head up to the intersection point (1.6153846153846, 3.9230769230769). Subtract 1.5 from y. (2.4230769230769) Then divide by 1.5 (1.6153846153846). Reverse the operations you just did (in reverse order) to get the equation y = 1.5x + 1.5.
(I don't know how to explain this too well. Here's a graph to make more sense of it.)
I think 104,000 is the answer because when 26,000 is double it's 52,000 so I doubled 52,000 and 104,000 is what I got.
32x< 150 , where x is the number of pictures framed. So 150/32 = 4.6875, since no pictures are purchased as whole the most he could buy is 4
Answer:
√89 or 9.43 units is the distance between Sophia's house and library
Step-by-step explanation:
H (1 ,1) ⇒ House
L(6 , 9) ⇒ Library
Leg₁ = OH = 6 - 1 = 5 units
Leg₂ = OL = 9 - 1 = 8 units
<h3> Pythagorean theorem;</h3>
Hypotenuse² = leg₁² + leg₂²
= 5² + 8²
= 25 + 64
= 89
hypotenuse = √89 units (radical form)
hypotenuse = 9.43 units