All categories

2 years ago

Urgent: What is an equation of the line perpendicular to y=-x-2 and through (-2,4)?

Mathematics

2 answers:

Aleksandr [31]2 years ago

8 0

Point slope form- y-4=(x+2)
Slope intercept- y=x+6

sasho [114]2 years ago

6 0

Perpendicular line means the gradient will be negative reciprocal. The gradient of the line that is given is -1.

Therefore the gradient of the perpendicular line is -1 / -1 = 1

Now we know the equation is y=x+c

We want to find out what c is.

To do this, we substitute in the coordinates given:

4 = 1(-2) + c

4 = -2 + c

C= 6

Therefore the perpendicular line equation is:

y = x + 6

I hope this has helped you today,

Any questions please ask me in the comments below.

Have a great day!

You might be interested in

Write each number in two equivalent forms 62.5%

Olegator [25]

Maybe 63 if you Estimate it

3 0

2 years ago

Read 2 more answers

Urgent please help..

storchak [24]

The answer is 51.3

Explanation:
You’re finding angle Y, so write the SOH CAH TOA. the two sides your are given are the adjacent side to Y and the opposite side so you use tangent. You then get the equation tanY=10/8 Since you’re finding an angle you use inverse tangent so you get y=tan^-1(10/8) and then put that into the calculator!

8 0

2 years ago

Can any decimal that ends with a digit in the thousandths place can be written as a fraction with a denominator that is divisibl

aksik [14]

No because it has to be a even number to be divisible by 2 and same goes with 5 something has to x the 2 with the number like 2/4=2 because 2x2 is 4

8 0

3 years ago

Read 2 more answers

A dive ring is 10 feet below the surface of the water in a pool.

USPshnik [31]

100feet below is your answer I think

6 0

2 years ago

Read 2 more answers

Use sigma notation to represent the sum of the first seven terms of the following sequence -4,-6,-8.....

lina2011 [118]

Answer:Answer:

$\sum\left {{7} \atop {1}} \right -n(3+n)$

Step-by-step explanation:

Given the sequence -4,-6,-8..., in order to get sigma notation to represent the sum of the first seven terms of the sequence, we need to first calculate the sum of the first seven terms of the sequence as shown;

The sum of an arithmetic series is expressed as $S_n = \frac{n}{2}[2a+(n-1)d]$

n is the number of terms

a is the first term of the sequence

d is the common difference

Given parameters

n = 7, a = -4 and d = -6-(-4) = -8-(-6) = -2

Required

Sum of the first seven terms of the sequence

$S_7 = \frac{7}{2}[2(-4)+(7-1)(-2)]\\\\S_7 = \frac{7}{2}[-8+(6)(-2)]\\\\S_7 = \frac{7}{2}[-8-12]\\\\\\S_7 = \frac{7}{2} * -20\\\\S_7 = -70$

The sum of the nth term of the sequence will be;

$S_n = \frac{n}{2}[2(-4)+(n-1)(-2)]\\\\S_n = \frac{n}{2}[-8+(-2n+2)]\\\\S_n = \frac{n}{2}[-6-2n]\\\\S_n = \frac{-6n}{2} - \frac{2n^2}{2}\\S_n = -3n-n^2\\\\S_n = -n(3+n)$

The sigma notation will be expressed as $\sum\left {{7} \atop {1}} \right -n(3+n)$ . <em>The limit ranges from 1 to 7 since we are to find the sum of the first seven terms of the series.</em>

3 0

2 years ago