Ask question

Ask question

All categories

Dahasolnce [82]

4 years ago

13

What is the equation of a line that is perpendicular to - x + 2y = 4 and passes through the point (-2,1)

1 answer:

Damm [24]4 years ago

3 0

Perpendicular has slope that multiplies to -1

the slope for ax+by=c is -a/b
-1x+2y=4
slope=-(-1)/2=1/2
1/2 times what=-1?
-2

y=mx+b
m=slope
we need slope is -2
y=-2x+b
find b
given
(-2,1)
(x,y)
x=-2 and y=1 is a solution

1=-2(-2)+b
1=4+b
mius 4 both sides
-3=b

y=-2x-3 is equation

first one

You might be interested in

Find the exact values of sin(u/2) cos(u/2) and tan(u/2) given sin u=24/25 and pie/2 < u < pie

vlada-n [284]

Recall the double/half angle formulas:

$\cos^2\dfrac x2=\dfrac{1+\cos x}2$

$\sin^2\dfrac x2=\dfrac{1-\cos x}2$

We're given $\sin u=\frac{24}{25}$ , and since $u$ is between π/2 and π, we expect $\cos u$ to be negative. So from the Pythagorean identity, we find

$\sin^2u+\cos^2u=1\implies\cos u=-\sqrt{1-\sin^2u}=-\dfrac7{25}$

Also, we know $\frac u2$ will fall between π/4 and π/2, so both $\sin\frac u2$ and $\cos\frac u2$ will be positive. Then we find

$\cos\dfrac u2=\sqrt{\dfrac{1+\cos u}2}=\dfrac35$

$\sin\dfrac u2=\sqrt{\dfrac{1-\cos u}2}=\dfrac45$

and it follows that

$\tan\dfrac u2=\dfrac{\sin\frac u2}{\cos\frac u2}=\dfrac43$

8 0

4 years ago

What is the value of x?<br><br><br><br> Enter your answer in the box.<br><br> x =

Olin [163]

The arcs in the corners of the triangle mean that all 3 angles are the same.

Because the 3 angles are all the same this means that all 3 sides are also the same.

To solve for X, we can set 2 of the equations to equal each other and solve for x:

6x-3 = 3x +6

Add 3 to each side:

6x = 3x +9

Subtract 3x from each side:

3x = 9

Divide both sides by 3:

x = 9/3

X = 3

And if you replace x with 3 in each of the equations, they all equal 15.

3 0

3 years ago

Lua is creating a rectangular prism. The base of her prism is shown below. She plans to have a height of 7 cubes.

jenyasd209 [6]

Answer:

Step-by-step explanation:

7 0

3 years ago

Pls help and explain thank you and love u (on pic)

KengaRu [80]

Answer:

(x+1)(2x+5)

Step-by-step explanation:

6 0

3 years ago

Factor completely 3a^4y^3 − 12a^3y^2 + 6a^2y.

Leto [7]

The answer would be 6(2x^4y^3-6x^3y^2+x^2y)

7 0

3 years ago