Answer:
C
Step-by-step explanation:
y-3=5(x-2) (rearrange this to be in slope- intercept from) (add 3 to both sides)
y = 5(x-2) + 3 (distribute parentheses)
y = x(5) - 2(5) + 3
y = 5x -10 + 3
y = 5x - 7
recall that for a line with gradient m, the gradient of the perpendicular line will be - (1/m)
hence in our case, our gradient of the original line is 5, hence the gradient of the perpendicular line is -1/5
From the choices, the only one that is consistent with this is C
i.e choice C:
5y + x = 25
5y = -x + 25
y = -(1/5) x + 5 ===> gradient of -1/5
Answer:
Area of first shape is 288
, area of second shape is 45
, area of third shape is 34
.
Step-by-step explanation:
Area of first shape
A=bh
A=18*16
A=288
Second shape
A=bh
A=9*5
A=45
Third shape
A= 1/2 h(b1+b2)
A=1/24(12+5)
A=1/2*4(12+5)
A=1/2*4(17)
A=1/2*68
A=34
X - Linda's speed
(x+8 )- Colleen's speed
8x - Linda's distance for 8 h
8(x+8) = 8x+64 - Colleen's distance for 8 h
8x + 8x + 64 = 176 - distance between Colleen and Linda after 8 h
8x + 8x + 64 = 176
16x +64 = 176
16x = 176 - 64
16x = 112
x= 7 mph Linda's speed
x+8 = 7+8 = 15 mph Colleen's speed
For this case we will first look for the total cost of the purse.
We then have the following rule of three:
14.95 $ -----> 100%
x -------------> 105%
Clearing x we have:
x = (105/100) * (14.95)
x = 15.6975 $
The amount needed to buy the purse is:
15.6975 - 10 = 5.6975 $
Answer:
holley needs 5.6975 $ to buy the purse
Answer:
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