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Alenkinab [10]
3 years ago
7

Write the equation of a line perpendicular to the line y = 2x - 3 that goes through point (4,3). Convert the line to Slope-Inter

cept Form.
Mathematics
1 answer:
timama [110]3 years ago
5 0

Answer:

y=-1/2x+5

Step-by-step explanation:

a line perpendicular to a given line will have a slope that is the negative reciprocal of the given one. this means the slope of the line perpendicular to the given one would be -1/2.

How I got this: 2 as a fraction would be 2/1, so the reciprocal would be 1/2, but we want the NEGATIVE reciprocal, so we multiply the fraction by -1, which gets us -1/2.

Now we know the slope of the equation that passes through (4,3) which is perpendicular to the given line.

y=-1/2x+b

b is the y-intercept, so we use the point (4,3) and the slope we were given to find out b.

when the point's x value is 0, the y value is the y intercept.

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Simplify the expression (x^3- 5x^2 + 7x - 12) ÷ (x – 4) using long division​
Kisachek [45]

Answer:

{x}^{2} - x + 3

Step-by-step explanation:

Instead, since the divisor is in the form of x - c, use what is called Synthetic Division. Remember, in this formula, -cgives you the OPPOSITE terms of what they really are, so do not forget it. Anyway, here is how it is done:

4| 1 −5 7 −12

↓ 4 −4 12

_______________

1 −1 3 0 → {x}^{2} - x + 3

You start by placing the c in the top left corner, then list all the coefficients of your dividend [x³ - 5x² + 7x - 12]. You bring down the original term closest to c then begin your multiplication. Now depending on what symbol your result is tells you whether the next step is to subtract or add, then you continue this process starting with multiplication all the way up until you reach the end. Now, when the last term is 0, that means you have no remainder. Finally, your quotient is one degree less than your dividend, so that 1 in your quotient can be an {x}^{2}, the −1 [x] follows right behind it, and bringing up the rear, comes the 3, giving you the quotient of {x}^{2} - x + 3.

I am joyous to assist you anytime.

5 0
4 years ago
Firefly211 what is the length to memphis to Alaska
Natalija [7]
Hello,

The length from Memphis to Alaska is approximately 3,946 miles.

Hope this helps!

4 0
3 years ago
What is factoring? Why is it important?
mel-nik [20]
Because it specialises the groups that go into the number.
4 0
3 years ago
Read 2 more answers
Please help , thank you !!!!!!1
Lynna [10]
Answer is 7.
55+5X=90
5X=90-55
5X=35
X=35/5
X=7
6 0
3 years ago
Protractors cost 16p each how much would 26 protractors cost
AveGali [126]

Answer:

The answer is £4.16

Step-by-step explanation:

26 x 16 = 416 = £4.16

4 0
4 years ago
Read 2 more answers
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