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dolphi86 [110]
4 years ago
6

What is the solution to the equation 1/4x-1/8=7/8+1/2

Mathematics
1 answer:
Dmitrij [34]4 years ago
7 0

Answer: x=6

Step-by-step explanation:

1) add 1/8 to both sides

2) divide both sides by 1/4

3) 1.5/.25= 6

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3 years ago
The length of the segment between the points $(2a, a-4)$ and $(4, -1)$ is $2\sqrt{10}$ units. What is the product of all possibl
True [87]

Answer:

-3

Step-by-step explanation:

The length of a segment is

sqrt( ( y2-y1)^2 + (x2-x1) ^2) = 2 sqrt(10)

sqrt( ( a-4 - -1)^2 + (2a -4) ^2) = 2 sqrt(10)

sqrt( ( a-4 +1)^2 + (2a -4) ^2) = 2 sqrt(10)

Combine like terms

sqrt( ( a-3)^2 + (2a -4) ^2) = 2 sqrt(10)

Square each side

( a-3)^2 + (2a -4) ^2) = 4 *(10)

FOIL the left side

a^2 -6a +9   + 4a^2 -16a +16 = 40

Combine like terms

5a^2 -22a +25 = 40

Subtract 40 from each side

5a^2 -22a -15 =0

Factor

(a - 5) (5 a + 3) = 0

Using the zero product property

a-5 =0   5a +3 = 0

a = 5       5a = -3

a=5     a = -3/5

The product of the terms is

5 * -3/5 = -3

5 0
3 years ago
Solve for z. 8z − 4 = 7z
aleksandr82 [10.1K]

8z − 4 = 7z

move 8z to the other side

sign changes from +8z to -8z

8z-8z-4=7z-8z

-4= 7z-8z

-4= -z

mutiply both sides by -1 to get +z

(-4)(-1)= (-z)(-1)

Answer:

z= 4

5 0
3 years ago
Read 2 more answers
Length of x <br> A.6 <br> B.10<br> C.6.2<br> D.8
Bad White [126]
X/7 = 6/4.2

4.2x = 42

x= 10
5 0
3 years ago
Show works please and do all of them for the 40 please because I need help
raketka [301]

Answer:

6 - Not similar

7 - Similar, 2x factor

8 - Similar, 3x factor

9 - Similar, 3x factor

10 - Not similar

11 - Similar, 5/3x factor

12 - x = 15

      y = 25

      z = 115

Step-by-step explanation:

8 0
3 years ago
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