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
Answer:
Step-by-step explanation:
A+C=38,000
8A+5C=257,125
Answer:
Remainder=190
(13 with a remainder of 190)
Step-by-step explanation:
the remainder is the amount leftover after the division. Usually it is swapped with decimals.
Answer:
D
Step-by-step explanation:
Using trigonometric ratios in the right triangle
tan45° = 1 and cos45° =
tan45° = =
Multiply both sides by 7
7 × tan45° = b, that is
b = 7 × 1 = 7
--------------------------------------------------------
cos45° = =
Multiply both sides by a
a × cos45° = 7, that is
a × = 7
Multiply both sides by
a = 7
this is answer for number 4
3.5x + 5.5x + 6 = 51
9x = 51 -6 = 45
x =45/9
x = 5 people
answer for number 5 (i assume x is the number)
5x -18 -4x = -36
x = -36 + 18
x = -18