Answer:
The measure of angle A is 32
Step-by-step explanation:
A+B=180
2x-16+5x+28=180
7x+12=180
7x=168
x=24
A=2(24)-16
A=48-16
A=32
Answer:
the slope is -1
Step-by-step explanation:
To find the slope, we use the formula
m = (y2-y1)/ (x2-x1)
= (4--1)/ (-1-4)
= (4+1)/(-5)
= 5/-5
= -1
Answer:
Centre: (6,0)
Radius: 2
Step-by-step explanation:
r² = 4
r = 2
Here is one way to solve for x.
Step 1) 2x^2-7=9
Step 2) 2x^2-7+7=9+7
Step 3) 2x^2=16
Step 4) (2x^2)/2=16/2
Step 5) x^2=8
Step 6) sqrt(x^2)=sqrt(8)
Step 7) |x|=sqrt(8)
Step 8) x=sqrt(8) or x=-sqrt(8)
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Below are explanations/reasons to each of the steps above.
Step 1) Original equation
Step 2) Add 7 to both sides
Step 3) Combine like terms
Step 4) Divide both sides by 2
Step 5) Simplify
Step 6) Apply the square root to both sides. The notation "sqrt" is shorthand for "square root"
Step 7) Use the rule that sqrt(x^2) = |x| for all real numbers x
Step 8) Use the rule that if |x| = k then x = k or x = -k for some fixed number k.
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The two solutions are
x = sqrt(8) or x = -sqrt(8)
Answer:
Part A: yes
Part B: 0.0094
Step-by-step explanation:
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