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Alex777 [14]
4 years ago
9

Write an equation passing through the point and parallel to the given line. (4,7);y=3x+4

Mathematics
1 answer:
olga_2 [115]4 years ago
3 0

Answer:

y = 3x - 5

Step-by-step explanation:

y = 3x + 4....the slope here is 3. A parallel line will have the same slope.

y = mx + b

slope(m) = 3

(4,7)...x = 4 and y = 7

now we sub and find b, the y int

7 = 4(3) + b

7 = 12 + b

7 - 12 = b

- 5 = b

so ur equation is : y = 3x - 5 <===

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Arrange the steps to solve the equation square root x+3 - square root 2x-1=-2
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Answer:x=31.4919

Step-by-step explanation:

Step1:isolate a square root on the left hand side√x+3=√2x-1-2

Step2:eliminate the radicals on the left hand side

Raise both sides to the second power

√x+3)^2=(√2x-1-2)^2

After squaring

x+3=2x-1+4-4-4√2x-1

Step3:get the remaining radicals by itself

x+3=2x-1+4-4√2x-1

Isolate radical on the left hand side

4√2x-1=-x-3+2x-1+4

4√2x-1=x

Step4:eliminate the radicals on the left hand side

Raise both side to the second power

(4√2x-1)^2=x^2

After squaring

32x-16=x^2

Step 5:solve the quadratic equation

x^2-32x-16

This equation has two real roots

x1=32+√960/2=31.4919

x2=32-√960/2=0.5081

Step6:check that the first solution is correct

Put in 31.4919 for x

√31.4919+3=√2•31.4919-1-2

√34.492=5.873

x=31.4919

Step7:check that the second solution is correct

√x+3=√2x-1-2

Put in 0.5081 for x

√0.5081+3=√2•0.5081-1-2

√3.508=-1.873

1.873#-1.873

One solution was found

x=31.4919

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