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kramer
2 years ago
9

Find the equation of the line that contains the point (-4, -4) and is perpendicular to the line 4x + 5y = 5. Write the line in s

lope-intercept form, if possible.
Mathematics
1 answer:
tester [92]2 years ago
6 0

Answer:

y = 5/4x + 1

Step-by-step explanation:

4x + 5y = 5

5y = -4x + 5

y = -4/5x + 1

Perpendicular slope: 5/4

(-4, -4)

Slope-intercept:

y - y1 = m(x - x1)

y + 4 = 5/4(x + 4)

y + 4 = 5/4x + 5

y = 5/4x + 1

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What value of b will cause the system to have an infinite
m_a_m_a [10]

Answer:

b=6

Step-by-step explanation:

<u><em>The correct question is</em></u>

What value of b will cause the system to have an infinite number of solutions?

y = 6x – b

–3x + 1/2y = –3

we have

y=6x-b ----->equation A

-3x+\frac{1}{2}y=-3 -----> equation B

we know that

If the system has infinite number of solutions then, the equation A must be equal to the equation B

so

isolate variable y in the equation B

-3x+\frac{1}{2}y=-3

Multiply by 2 both sides

-6x+y=-6

y=6x-6 -------> new equation B

To find out the value of b, equate equation A and equation B

6x-b=6x-6

b=6

4 0
2 years ago
What is 1/3 of 18500.00
choli [55]
\frac{1}{3}\ of\ 18500.00\\\\ =  \frac{1}{3}*18500.00\\\\ =\frac{1}{3}*18500.00\\\\ =6166.67
5 0
3 years ago
Find the value of x.<br> If necessary, you may learn what the markings on a figure indicate.<br> 74°
marissa [1.9K]

Answer:

x = 61

Step-by-step explanation:

Left hand triangle containing 1 angle of 74

Label the other angle opposite the marked side also as 74

Find the third angle. Call it y.

y + 74 + 74 = 180           Combine like terms

y + 148 = 180                 Subtract 148 from both sides.

y = 180 - 148

y = 32

=============

Now work with the triangle on the right.

label the angle making up the right angle = z

32 + z = 90                             These two angles are complementary = 90

32 - 32 + z = 90 - 32              Subtract 32 from both sides

z = 58                                      Use 58 wherever you see z

x + x + z = 180                         Substitute

2x + 58 = 180                          Subtract 58 from both sides

2x = 122                                  Divide by 2

x = 61

5 0
3 years ago
Read 2 more answers
What’s the answer?? <br><br> B/18=-6
erastova [34]

Answer:  -108/+18 = -6

Step-by-step explanation: Multiply 18 by -6 for B then it simplifies out.

3 0
3 years ago
Read 2 more answers
After 3 minutes, a submarine had descended to −320 feet. After 8 minutes, the submarine had descended to −420 feet. Assuming a l
LiRa [457]

Answer:

d(t) = -20t - 260

Step-by-step explanation:

The depth function is:

d(t) = mt + b

After 3 minutes, a submarine had descended to −320 feet.

This means that d(3) = -320. So

d(t) = mt + b

-320 = 3m + b

After 8 minutes, the submarine had descended to −420 feet.

This means that d(8) = -420. So

d(t) = mt + b

-420 = 8m + b

From the first equation:

b = -320 - 3m

So

-420 = 8m + b

-420 = 8m - 320 - 3m

5m = -100

m = \frac{-100}{5}

m = -20

And

b = -320 - 3*(-20) = -260

So

d(t) = -20t - 260

7 0
3 years ago
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