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aev [14]
4 years ago
8

If B is the midpoint of AC, and AC = 8x – 20, find BC. 3x - 1 A B C

Mathematics
1 answer:
sammy [17]4 years ago
6 0

Answer:

x = 9

Step-by-step explanation:

Since B is the midpoint, that means segment AB has to be the same length as BC.

Therefore:

2(3x-1)=8x-20

6x-2=8x-20

18=2x

9=x

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Brad earns $12.75/hr and works 40 hours a week. What is his gross annual income?
professor190 [17]

Answer:

Gross Annual Income:  $26,520

Step-by-step explanation:

Gross annual income is the amount of money made without any taxes or deductions subtracted from the total.  If Brad earns $12.75 per hour and works 40 hours per week, we can first find his weekly income by multiplying the rate by the number of hours per week:

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Since Brad earns $510 per week and there are 52 weeks in one year, we can find his gross annual income again by multiply the weekly rate ($510) by the number of weeks in a year (52):

$510 x 52 = $26,520

3 0
4 years ago
Ginger bought 4 bunches of mint for $9. How many bunches of mint can Melinda buy if she has $18?
Dominik [7]

Answer:

8 bunches

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8 0
3 years ago
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7 0
3 years ago
What is the other square root of 119 + 120i?
MakcuM [25]

Answer:

\sqrt{119+120 i}=\pm (12.24+i 4.90)

Step-by-step explanation:

Given

z = 119 + 120 i

Let \sqrt{119+120 i}=p+iq

Squaring both sides

119+120 i=p^2-q^2+2ipq

Comparing real and imaginary part

Re(LHS)=Re(RHS)

119=p^2-q^2...........................(1)

comparing Im(LHS)=Im(RHS)

120=2pq

q=\frac{60}{p}

Substitute q in 1

119=p^2-(\frac{60}{p})^2

p^4-119p^2-(68)^2=0

Let x=p^2

x^2-119x-4624=0

x=\dfrac{119\pm \sqrt{119^2+4\times 4624}}{2}

x=\frac{119\pm 180.71}{2}

we take only Positive value because p^2=x

x=149.85  

p^2=149.85

thus p=\pm 12.24

q=\pm 4.90

thus,

\sqrt{119+120 i}=\pm (12.24+i 4.90)

8 0
3 years ago
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