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3 years ago

Find the equation of the line which passes through the point

Mathematics

1 answer:

sammy [17]3 years ago

7 0

Answer:

$y= \frac{1}{5}x- \frac{56}{5}$

Step-by-step explanation:

We want to find the equation of the line that goes through: !6,-10) and is perpendicular to the line

$5x + 3y = 2y - 3$

Let's simplify the equation of the line to get:

$3y - 2y = - 5x + 3$

$y = - 5x + 3$

The slope of this line is -5.

The perpendicular to this line has a slope of

$\frac{1}{5}$

The equation going through (6,-10) is

$y=m(x-x_1)+y_1$

We substitute to get;

$y= \frac{1}{5} (x-6) - 10$

Expand;

$y= \frac{1}{5}x- \frac{6}{5} - 10$

$y= \frac{1}{5}x- \frac{56}{5}$

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I tried this few times can i get some help

mihalych1998 [28]

Answer:

Y=4 X= -6 or (-6,4)

Step-by-step explanation:

Okay so

3x+10y=22

-3x-8y=-14

basically, it's like one big equation. First, subtract 3x from -3x which cancels out and gives us 0
10y minus 8y gives us 2y.
22 minus 14 gives us 8

3x+10y=22

0+2y=8

Now that we have this, we can solve for y. in order to do this, we have to divide both sides by 2.

$\frac{2y}{2} = \frac{8}{2}$

From here we know that y=4 because the 2s cancel out leaving y and 8 divided by 2 is 4.

y= 4

Now we can fill in. You can pick any equation for this but I'm going to chose the first one.

3x+10y=22

we can fill in 4 for y

3x+10(4)=22

3x+40=22

Next we are going to subtract 40 on both sides.

3x+40=22

-40 -40

3x= -18

Next, we're going to divide -18 by 3.

$\frac{3x}{3} = \frac{ - 18}{3}$

The 3s cancel out leaving us x. -18 divided by 3 is -6.

x= -6

Hope this helped!! :)

6 0

3 years ago

If a and b are two angles in standard position in Quadrant I, find cos(a+b) for the given function values. sin a=8/17and cos b=1

n200080 [17]

Recall the sum identity for cosine:

cos(a + b) = cos(a) cos(b) - sin(a) sin(b)

so that

cos(a + b) = 12/13 cos(a) - 8/17 sin(b)

Since both a and b terminate in the first quadrant, we know that both cos(a) and sin(b) are positive. Then using the Pythagorean identity,

cos²(a) + sin²(a) = 1 ⇒ cos(a) = √(1 - sin²(a)) = 15/17

cos²(b) + sin²(b) = 1 ⇒ sin(b) = √(1 - cos²(b)) = 5/13

Then

cos(a + b) = 12/13 • 15/17 - 8/17 • 5/13 = 140/221

6 0

2 years ago

How much of a 3/4 cup serving is in a 2/3 of yogurt

lukranit [14]

To figure this problem out, we need to divide 2/3 by 3/4.

2/3 / 3/4 = 8/9 or 0.888888 repeating.

Therefore, there are 8/9 of the 3/4 cup servings in 2/3 cup of yogurt.

8 0

3 years ago

What's 1.27 repeating as a fraction

svet-max [94.6K]

As a improper fraction, its 127/100

5 0

2 years ago

What is the decimal equivalent of 11 80 ?

dezoksy [38]

Answer:

0.1375

Step-by-step explanation:

6 0

3 years ago