Answer:
C) 7
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Work Shown:
Use the slope formula
m = (y2-y1)/(x2-x1)
Plug in the given slope we want m = -5/3 and also the coordinates of the points. Then isolate r
m = (y2-y1)/(x2-x1)
-5/3 = (2-r)/(r-4)
-5(r-4) = 3(2-r) .... cross multiplying
-5r+20 = 6-3r
-5r+20+5r = 6-3r+5r .... adding 5 to both sides
20 = 6+2r
20-6 = 6+2r-6 ....subtracting 6 from both sides
14 = 2r
2r = 14
2r/2 = 14/2 .... dividing both sides by 2
r = 7
The slope of the line through (4,7) and (7,2) should be -5/3, let's check that
m = (y2-y1)/(x2-x1)
m = (2-7)/(7-4)
m = -5/3
The answer is confirmed
A square rotated about its center by 360º maps onto itself at 4 different angles of rotation. You can reflect a square onto itself across 4 different lines of reflection.
Answer:
$34,000
Step-by-step explanation:
First they had 30,000
Then wrote off 40,000
So balance is 30,000 - 40,000 = -10,000
Now, they want 8% of 300,000 as uncollectible. So that would be
0.08 * 300,000 = 24,000
Thus, to bring the balance to 24,000 [balance is -10,000], how much would they need to add?? Let it be x:
-10,000 + x = 24,000
x = 24,000 + 10,000 = $34,000
Answer:
<h3>162.5 cm²</h3><h3>
Step-by-step explanation:</h3>
Area of a triangle = (BH)/2
Base= 25
Height=13
(25×13)/2= 162.5 cm²
Answer:
a. Maurice walked farther.
b. 0.62 m
Step-by-step explanation:
Maurice
4.1 × 1.8 = 7.38 miles
Junnie
2.5 × 3.2 = 8 miles
This shows that Junnie walked more than Maurice.
8 - 7.38 = 0.62
Junnie walked 0.62 m more than Maurice