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Allisa [31]
3 years ago
12

Write an equation for a line perpendicular to y = 5x – 2 and passing through the point (-15,8) y=​

Mathematics
1 answer:
AleksandrR [38]3 years ago
8 0
The answer is y = -1/5x + 5

Perpendicular means the opposite reciprocal of the slope. The reciprocal of 5 would be 1/5. The opposite sign would be negative, so -1/5.

The equation that you use is y - y1 = m(x - x1)

The point is (-15,8).

x1 = -15
y1= 8
m= -1/5

y - 8 = -1/5(x - (-15)).

The 15 becomes positive.

y - 8 = -1/5(x+15)

Distribute

y - 8 = -1/5x - 3

Add 8 to both sides

y = -1/5x + 5

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djverab [1.8K]
B=1/4

Ninringrinrinveoj cknnfevk;Kent vie;Devi
3 0
3 years ago
If AB=BC,AB=4=4x-2,andBC=3x+3,fine the length of AB
laila [671]

Answer:

18

Step-by-step explanation:

First, I'm assuming AB=4=4x-2 was a typo and it's supposed to be AB = 4x - 2

AB=BC

AB = 4x - 2 BC = 3x + 3

4x - 2 = 3x + 3

Solve for x Add 2 to each side

4x - 2 = 3x + 3

4x - 2 + 2 = 3x + 3 + 2

4x = 3x + 5 Subtract 3x from each side.

4x - 3x = 3x- 3x + 5

4x - 3x = 5

x = 5

Now plug back in to the original equations

AB = 4x - 2                  BC = 3x + 3

AB = 4 (5) - 2               BC = 3(5) + 3

AB = 20 - 2                  BC = 15 + 3

AB = 18                        BC = 18

So AB is 18

3 0
3 years ago
Which equation is made true by the opposite angles theorem?
Oksana_A [137]

Solution

Step 1

The opposite angles of a parallelogram are equal:

Step 2

85\text{ + y  =  3y - 15}

The equation is made true by the opposite angles theorem is

85 + y = 3y - 15

or

y = 50

4 0
1 year ago
Ed is thinking of a number that is a multiple of both 2 and 5​
scZoUnD [109]
A number that is a multiple of both 2 and 5 is 10
6 0
3 years ago
A and B are independent events if...
OlgaM077 [116]

Answer:

(C) The probability of buying bread and cheese is 0.12

Step-by-step explanation:

P(Event A) = 0.6

P(Event B) = 0.2

If Event A and Event B are independent,

Then P(Event A and Event B) = 0.6 x 0.2 = 0.12

7 0
3 years ago
Read 2 more answers
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