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zubka84 [21]
3 years ago
9

write an equation of the line containing the given point and perpendicular to the given line. express your answer in the form y=

mx+b. (3,7); 7x+y=4. simplify
Mathematics
1 answer:
Alinara [238K]3 years ago
5 0
Let's first solve <span>7x+y=4 for y

Subtract 7x from both sides to accomplish this

</span><span>7x+y=4
</span><span>7x+y-7x=4-7x
y = -7x+4

This equation has a slope of -7. This is the same as -7/1

Flip the fraction to get -1/7 and then flip the sign from negative to positive to get +1/7 = 1/7

The slope of this unknown perpendicular line is going to be m = 1/7

We now use the point (3,7) to figure out the value of b

y = mx + b
y = (1/7)*x + b ... plug in the value of m found earlier
7 = (1/7)*3 + b ... plug in the given point; solve for b
7 = (3/7) + b
7-(3/7) = b
49/7 - 3/7 = b
b = 46/7

So the answer in y = mx+b form is
y = (1/7)x + 46/7
where
m = 1/7 is the slope
b = 46/7 is the y intercept</span>
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Jill spent of her money on a new shirt end of her Money on pants with a fraction of her money has she spent money on pants what
xz_007 [3.2K]

Answer:

This means Jill has spent exactly half of her money and she has exactly half of her money too left.

The fraction of her money she has spent = (1/2)

Step-by-step explanation:

The total fraction of money Jill has spent = (fraction of money she spent on a new shirt) + (fraction of money she spent on pants) = (1/6) + (1/3) = (3/6) = (1/2)

This means Jill has spent exactly half of her money and she has exactly half of her money too left.

Hope this Helps!!!

7 0
4 years ago
Solve the system by the<br> substitution method.<br> Sol<br> of<br> x + 7y = -1<br> - 4x – 2y = -22
Vika [28.1K]

Answer:

(6, - 1 )

Step-by-step explanation:

Given the 2 equations

x + 7y = - 1 → (1)

- 4x - 2y = - 22 → (2)

Rearrange (1) expressing x in terms of y by subtracting 7y from both sides

x = - 1 - 7y → (3)

Substitute x = - 1 - 7y into (2)

- 4(- 1 - 7y) - 2y = - 22 ← distribute and simplify left side

4 + 28y - 2y = - 22

4 + 26y = - 22 ( subtract 4 from both sides )

26y = - 26 ( divide both sides by 26 )

y = - 1

Substitute y = - 1 into (3) for corresponding value of x

x = - 1 - 7(- 1) = - 1 + 7 = 6

Solution is (6, - 1 )

3 0
3 years ago
Read 2 more answers
I need help you don’t have to give the answer just a little explanation
Brums [2.3K]

1.

a. let k = constant

     k = y/x

     so k = 14/2 = 7


b. the equation would be y = 7x


2. a. k = y/x = 25/5 = 5

  b. y = 5x

 c. 50 = 5x, x = 50/5 = 10

4 0
4 years ago
Help me please! It’s due in like 10 minutes and I’m barely on the 8th question !!!
wariber [46]

Answer:A

Step-by-step explanation:campbella helped

4 0
3 years ago
Read 2 more answers
A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of 108.7-cm and a standard dev
Luden [163]

Let x be the lengths of the steel rods and X ~ N (108.7, 0.6)

To get the probability of less than 109.1 cm, the solution is computed by:


z (109.1) = (X-mean)/standard dev

= 109.1 – 108/ 0.6

= 1.1/0.6

=1.83333, look this up in the z table.


P(x < 109.1) = P(z < 1.8333) = 0.97 or 97%

3 0
4 years ago
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