Given:
savings 12% of her salary.
savings $4,200
This year's salary: x + 3,000
Last year's salary: x
4,200 represents 12% of her salary.
4,200 / 12% = 35,000 is her salary this year.
x + 3,000 = 35,000
x = 35,000 - 3,000
x = 32,000 her salary last year.
A(1, 1), B(7, 1), C(1, 9)
AB = 7 - 1 = 6
AC = 9 - 1 = 8
Use the Pythagorean theorem:
AB² + AC² = BC²
Substitute:
BC² = 6² + 8²
BC² = 36 + 64
BC² = 100 → BC = √100 → BC = 10
The perimeter of ΔABC:
P = 6 + 8 + 10 = 24
<h3>Answer: 24 units</h3>
Answer:
16
Step-by-step explanation:
1/2 ^(-1)=2
8×2=16
Hope that helped.
<h3>Answer: Choice B) </h3><h3>-6x - 2y = 12</h3>
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Explanation:
The x intercept is (-2,0) which is where the graph crosses the x axis.
The y intercept is (0,-6) which is where the graph crosses the y axis.
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Find the slope of the line through those two points
m = (y2-y1)/(x2-x1)
m = (-6-0)/(0-(-2))
m = (-6-0)/(0+2)
m = -6/2
m = -3
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The y intercept (0,-6) leads to b = -6
Both m = -3 and b = -6 plug into y = mx+b to get
y = mx+b
y = -3x+(-6)
y = -3x-6
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Now add 3x to both sides
y = -3x-6
y+3x = -3x-6+3x
3x+y = -6
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Lastly, multiply both sides by -2 so that the "-6" on the right hand side turns into "12" (each answer choice has 12 on the right hand side)
3x+y = -6
-2(3x+y) = -2(-6)
-2(3x)-2(y) = 12
-6x-2y = 12
which is what choice B shows.
Answer: 1.51
Step-by-step explanation:
w + 7.1 = 8.61
w + 7.1 - 7.1 = 8.61 - 7.1
w = 1.51
