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skad [1K]
3 years ago
9

Which equation represents the line that passes through the point (4, -5) and is perpendicular to the line x + 2y = 5?

Mathematics
1 answer:
Lerok [7]3 years ago
7 0

Answer:

y = 2x - 13

Step-by-step explanation:

Equation of a line is y = mx + c, m is the gradient and c is the intercept

The line passes through points 4 and -5, x is 4 and y is -5

-5 = 4m + c

When two lines are perpendicular, the products of their gradients are equal to -1, m1 * m2 = -1

x + 2y = 5

2y = -x + 5

y = (-1/2 * x) + 5

therefore m = -1/2

m1 * m2 = -1

m * -1/2 = -1

-m = -2 , therefore m = 2

-5 = 4 * 2 + c

c = -5 - 8, which is -13

Therefore the equation for the line is

y = 2x - 13

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3
nikitadnepr [17]

Answer:

y = (1/4)x - 3

Step-by-step explanation:

The slope-intercept form is y = mx + b.  Here we are told that the line passes through (-8, -5) and that its slope is 1/4 (is that correct?).  

Substituting -5 for y, -8 for x and 1/4 for m, we get an equation for the y-intercept, b:

-5 = (1/4)(-8) + b, or

-5 = -2 + b, so b = -3, and the desired equation is

y = (1/4)x - 3

3 0
2 years ago
you have decided to purchase a car for $15,699. the credit union requires a 10% down payment and will finance the balance with a
ycow [4]
Its D! Hope this helps :))
8 0
2 years ago
Find the measure of angle A.<br> A<br> 7x-1<br> 12x<br> 489
Degger [83]

Answer:

48 degrees

Step-by-step explanation:

7X-1+12x+48=180

19x+47=180

19x=133

x=7

7(7)-1=A

49-1=A

48=A

A is 48 degrees

7 0
3 years ago
An electronics store usually sells computers priced at $1500 each. If the customer orders the computer over the Internet, he has
iragen [17]

Answer:

There would be a 20% price decrease, making the price $300 less.

7 0
3 years ago
Read 2 more answers
What is the beat estimate for the quotient? 591.3 device by 29
Sedbober [7]
Hi there!

To estimate, we can round:

591.3 is approximately 600
29 is approximately 30

Now, we divide:

600 / 30 = 20

Hope this helps!
6 0
3 years ago
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