Answer:
1
Step-by-step explanation:
I really can't give you a step-by-step
Step-by-step explanation:
step 1. This is a right triangle where a^2 + b^2 = c^2 (c is the hypotenuse).
step 2. a^2 + 6^2 = 8^2.
step 3. a^2 = 64 - 36.
step 4. a^2 = 28.
step 5. a (the ladder height along the wall) = sqrt (28) where sqrt is the square root.
<u>step</u><u> </u><u>6</u><u>.</u><u> </u><u>sqrt</u><u>(</u><u>2</u><u>8</u><u>)</u><u> </u><u>=</u><u> </u><u>2</u><u>(</u><u>sqrt</u><u>(</u><u>7</u><u>)</u><u>)</u><u>.</u>
Answer: Choice B) (24,10)
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Work Shown:
2x - 4y = 8
2( x ) - 4y = 8
2( 3y-6 ) - 4y = 8 ... notice x has been replaced with 3y-6
2(3y)+2(-6) - 4y = 8
6y-12 - 4y = 8
2y-12 = 8
2y-12+12 = 8+12 ... add 12 to both sides
2y = 20
2y/2 = 20/2 ... divide both sides by 2
y = 10
If y = 10, then
x = 3y-6
x = 3*10-6 ... replace y with 10
x = 30-6
x = 24
Put together, the solution is (x,y) = (24,10)
which is why the answer is choice B
As a check, we can plug (x,y) = (24,10) into each equation
x = 3y-6
24 = 3*10 - 6
24 = 30 - 6
24 = 24 ... true equation
and similarly for the second equation as well
2x-4y = 8
2*24 - 4*10 = 8
48 - 40 = 8
8 = 8 ... true equation
Both equations are true when (x,y) = (24,10) so the solution is confirmed
-3x+2 < 8
-2 -2
-3 /-3x <6/-3
x >-2
So x>-2