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
Answer:
x=-8
Step-by-step explanation:
on squaring both sides
either x-2=0 or x+8=0
either x=2 or x=-8
Putting x=2 in original equation, we get
7=7 hence, it is not an extraneous solution
Putting x=-8 in original equation
i.e. 3=-3
Hence, x=-8 is an extraneous solution (since it doesn't satisfy the original equation)
0 ≠ 4. The equation is wrong, and has no true solution.
8x + 3 - 10x = -2(x - 2) + 3
<em><u>Distributive property.</u></em>
8x + 3 - 10x = -2x + 4 + 3
<em><u>Combine like terms.</u></em>
-2x + 3 = -2x + 7
<em><u>Cancel like terms.</u></em>
<em><u>Subtract 3 from both sides.</u></em>
0 ≠ 4
Answer:
The answer to your question is x = 
or x = 5
Step-by-step explanation:
To solve this problem use the Pythagorean theorem because two right triangles are formed.
c² = a² + b²
c = 10
a = x
b = x Because in a square all the sides measure the same.
10² = x² + x²
- Simplify
100 = 2x²
x² = 100/2
x² = 50
x = or x = 5
The first thing we must do for this case is to observe the highest relative frequency of the table in the total column.
For the white car we have:
Male = 0.11
Female = 0.20
Total = 0.31
The percentage is given by:
(0.31) * (100) = 31%
Answer:
The percentage that represents the car bought most often is:
31%
