Answer:
Option A. y = –2x + 27
Step-by-step explanation:
y – 7 = ½(x + 2)
We'll begin by calculating the slope of the equation above. This can be obtained as follow:
y – 7 = ½(x + 2)
Clear bracket
y – 7 = ½x + 1
Rearrange
y = ½x + 1 + 7
y = ½x + 8
Comparing
y = ½x + 8
with
y = mx + c
The slope (m) = ½
Next, we shall determine the slope (m2) of the equation perpendicular to the line. This can be obtained as follow:
For perpendicularity,
m1 × m2 = –1
m1 = ½
½ × m2 = –1
m2 /2 = –1
Cross multiply
m2 = 2 × –1
m2 = –2
Therefore, the slope of the equation perpendicular to the line is –2
Finally, we obtained the equation of the line as follow:
Coordinate = (6, 15)
x1 coordinate = 6
y1 coordinate = 15
Slope (m) = –2
y – y1 = m(x – x1)
y – 15 = –2(x – 6)
Clear bracket
y – 15 = –2x + 12
Rearrange
y = –2x + 12 + 15
y = –2x + 27
Therefore, the equation is y = –2x + 27
60 mph is faster. 80 kph is rounded to 49.7097 mph.
Answer: $47.28
Step-by-step explanation:
There are 126 inches of fabric.
You need to convert this to yard as that is the pricing unit.
1 yard = 36 inches
126 inches is:
= 126/32
= 3.94 yards
Cost is $12 per yard so Henry pays:
= 12 * 3.94
= $47.28
Answer:
Step-by-step explanation:
Split the shape into 3 different shapes.
Parallelogram (shape on top) equals 35 because area of parallelogram is
Square (shape in middle) equals 16 because area of a square is (a is side)
Rectangle (on bottom) equals 75 because area of a rectangle is
Add them all and get the total of 126
Answer:
Correct option is
B
1.x+0.y=7
x=7 can be written as, 1.x+0.y=7 as the coefficient of x is 1 and that of y is 0. Step-by-step explanation: