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nalin [4]
3 years ago
8

HELP Please thanks (;

Mathematics
1 answer:
Mrrafil [7]3 years ago
8 0
To answer this you must know the rule for the slopes of perpendicular lines. the rule is that if 2 lines are perpendicular to each other, then their slopes are opposite reciprocal.

the word opposite means that if the slope of one is positive, then the other is negative. And vice versa.

the word reciprocal means that you divide 1 by whatever the slope is. So the reciprocal of x is 1/x.

so let's say we have a slope of -2 and what to find a line perpendicular. We need to find the opposite reciprocal. the opposite of -2 is 2. And the reciprocal of 2 is 1/2. So perpendicular line would have slope of 1/2

now to answer yours.

We know that y = mx + b, where m = slope and b = y intercept.

so:
y - 3 = 4 (x + 2)
y = 4x + 11

so m = 4. the slope is 4.

the opposite of 4 is - 4 and the reciprocal of - 4 is - 1/4. So that is out new slope of perpendicular line.

We know that given a point we can use:
(y - y1) = m (x - x1), where (x1, y1) is the given point

We are given point (- 5, 7) and we know m = - 1/4. so:

y - (7) = - 1/4(x - (- 5))
y - 7 = - 1/4(x + 5)
y - 7 =- 1/4x - 5/4
y = - 1/4x + 23/4

this should be equAtion. We can check by seeing if slopes are opposite reciprocal and by plugging in point.

- 1/4 is opposite reciprocal of 4.

plug in point
7 = - 1/4 (- 5) + 23/4
7 = 5/4 + 23/4
7 = 7

this is correct
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The granola summer buys used to cost $6.00 per pound but it has been marked up %15 Question: How much did it cost summer to buy 2.6 pounds of granola at the old price.=> previous price of granola = 6.00 dollars per pound=> marked up 15% = 15% /100% = .15 solve:=> 6 * .15 = .9=> 6 + .9 = 6.9 dollars per poundNow, you want to buy 2.6 pounds=> 6.9 * 2.6 = 17.94 dollars 
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3 years ago
PLEASSSSEEEEE I AM SOOO CONFUSED BECAUSE IT SHOWS THE CORRECT ANSWER BUT I DONT GET ITTTTTT
IceJOKER [234]

Answer:

D. {(2,3) (2,5) (4,7)}

Step-by-step explanation:

2 has an output od 3 and 5, and 4 has an output of 7

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2 years ago
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G(x)=3x^2-5x-9 find g(x+2)
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3 years ago
I went to the mall to buy four shirts that cost $6.00 dollars each. If you buy three shirts and get the other one 20% off. How m
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3 years ago
If a triangle has side lengths 7, 10, and 12, is it a right triangle??
Vesnalui [34]

Answer:

No. Remember, a right angle must have a 90 degree angle. We can find the lengths with the Pythagorean Theorem.

Step-by-step explanation:

Given the length 7, 10, and 12, we can assume that 12 is the hypotenuse (it is the longest length).

- we can use 7 and 10 interchangeably.

Fill in the equation, a^2 + b^2 = c^2

                 where c = 12, and a or b = 7 or 10.

To indicate if the given lengths would form a right angle, we can only input 7 or 10, not both.

Therefore, 7^2 + b^2 = 12^2 or 10^2 + b^2 = 12^2

7^2 + b^2 = 12^2 ==> 49 + b^2 = 144 ==> <u>b= </u>\sqrt{95<u> ==> </u><u>9.746</u>

b= 9.7, not 10.

10^2 + b^2 = 12^2 ==> 100 + b^2 = 144 ==> <u>b = </u>\sqrt{44<u> ==> </u><u>6.633 </u>

b= 6.6, not 7.

Therefore, the lengths 7, 10, and 12, does NOT make a right triangle.

Hope this helps!

5 0
3 years ago
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