Answer:
B. Complementary Angles
Step-by-step explanation:
They both make up 90 degree angle.
27)
Equation of the existing water pipe's line
a) slope, m = rise / run = Δy / Δx = 3/2
b) y-intercept, b = 3
equation: y = mx + b = (3/2)x + 3
Equation of the new water pipe's line
slope, m = - 1 / (slope of the perpendicular line) = - 1 / (3/2) = - 2/3
point (0,2)
=> y - 2 = (-2/3) (x - 0) => y = (-2/3)x + 2 <---- equation of the new pipe
28)
two parallel lines have the same slope =>
slope, m = rise / run = Δy / Δx = [4 - 0] / [11 - 8] = 4 / 3
point (4,5) => y - 5 = (4/3) (x - 4)
=> y = (4/3)x - 16/3 + 5 = (4/3)x - 1/3
y = (4/3)x - 1/3 <--- equation of the new bike path
Answer:
If x^2 = 1, then x = 1 is NOT true because x can also be -1.
<u>Corrected Question</u>
The blueprint for the Moreno Moreno's living room has a scale of 2 inches equals 7 feet.The family wants to use a scale of 1 inch equals = 6 feet. What is the width of the living room on the new blueprint? A rectangle is labeled width = 12 inches.
Answer:
7 Inch
Step-by-step explanation:
The width of the room on the old blueprint = 12 Inches
<u>Scale on the old blueprint: </u>
2 inches = 7 feet.
Therefore: 1 Inch =7/2 feet
12 Inches =12 X 7/2 feet =42 feet
The actual width of the room is 42 feet.
<u>Scale on the new blueprint</u>
1 inch equals = 6 feet; which we can reorder as:
6 feet=1 inch
1 feet =1/6 Inch
Therefore:
42 feet = 42 x 1/6 Inch =7 Inch
Thus, the width of the living room on the new blueprint is 7 Inch.
5(x^2 - 14x + 258/5)
= 5((x-7)^2 -49+258/5)
= 5((x-7)^2 + 13/5)
= 5(x-7)^2 + 13
I belive this is how it should be done
