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galben [10]
3 years ago
9

Which of the following are solutions to |x-1| = 5X+2

Mathematics
1 answer:
musickatia [10]3 years ago
4 0

Answer:

i can't see the solution options but i got x = -3/4 and x = -1/6

Step-by-step explanation:

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100 points! Mhanifa can you please help? Look at the picture attached. I will mark brainliest!
dimulka [17.4K]

Answer:

1 and 2.

Midpoints calculated, plotted and connected to make the triangle DEF, see the attached.

  • D= (-2, 2), E = (-1, -2), F = (-4, -1)

3.

As per definition, midsegment is parallel to a side.

Parallel lines have same slope.

<u>Find slopes of FD and CB and compare. </u>

  • m(FD) = (2 - (-1))/(-2 -(-4)) = 3/2
  • m(CB) = (1 - (-5))/(1 - (-3)) = 6/4 = 3/2
  • As we see the slopes are same

<u>Find the slopes of FE and AB and compare.</u>

  • m(FE) = (-2 - (- 1))/(-1 - (-4)) = -1/3
  • m(AB) = (1 - 3)/(1 - (-5)) = -2/6 = -1/3
  • Slopes are same

<u>Find the slopes of DE and AC and compare.</u>

  • m(DE) = (-2 - 2)/(-1 - (-2)) = -4/1 = -4
  • m(AC) = (-5 - 3)/(-3 - (-5)) = -8/2 = -4
  • Slopes are same

4.

As per definition, midsegment is half the parallel side.

<u>We'll show that FD = 1/2CB</u>

  • FD = \sqrt{(2+1)^2+(-2+4)^2} = \sqrt{3^2+2^2} = \sqrt{13}
  • CB = \sqrt{(1 + 5)^2+(1+3)^2} = \sqrt{6^2+4^2} = 2\sqrt{13}
  • As we see FD = 1/2CB

<u>FE = 1/2AB</u>

  • FE = \sqrt{(-4+1)^2+(-1+2)^2} = \sqrt{3^2+1^2} = \sqrt{10}
  • AB = \sqrt{(-5 -1)^2+(3-1)^2} = \sqrt{6^2+2^2} = 2\sqrt{10}
  • As we see FE = 1/2AB

<u>DE = 1/2AC</u>

  • DE = \sqrt{(-2+1)^2+(2+2)^2} = \sqrt{1^2+4^2} = \sqrt{17}
  • AC = \sqrt{(-5 +3)^2+(3+5)^2} = \sqrt{2^2+8^2} = 2\sqrt{17}
  • As we see DE = 1/2AC

3 0
3 years ago
Read 2 more answers
Helia invested 4000 AED for 3 years with a compound interest rate of 1.5%, Calculate the worth of her investment at the end of t
sineoko [7]

Answer:

4180 AED

Step-by-step explanation:

Given data

Principal= 4000

Time= 3 years

Rate= 1.5%

The compound interest expression is given as

A= P(1+r)^t

substitute

A=4000(1+0.015)^3

A= 4000(1.015)^3

A= 4000*1.045

A= 4180

Hence the worth will be  4180 AED

6 0
3 years ago
Which of the following is a point where the graph
ser-zykov [4K]

Answer:

-When (2×-5) intersects at ×-axis the value of × will be zero.

=>F(×)=× 0=2×-5

hence,

0,=2×-5

5=2×

=>×=5/2

Step-by-step explanation:

hpe it hlps

7 0
2 years ago
3.75 +(-4)+(-5.25) =
cestrela7 [59]

Answer:

-5.5

Step-by-step explanation:

8 0
3 years ago
In the figure above, what is the area of triangle QRS?
Vlad [161]

Answer:

D) 20.

Step-by-step explanation:

First find the value of x using Pythagoras theorem:

10^2 = x^2 + (2x)^2

5x^2 = 100

x^2 = 20

x = √20

  = 2√5.

So the area of triangle

= 1/2 * base * height

= 1/2 * 2x * x

=  x^2

=  (2√5)^2

=  20.

6 0
1 year ago
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