All categories

2 years ago

Find the equation of a line perpendicular to −x+y=−6 that contains the point (−4,5). Write the equation in slope-intercept form.

Mathematics

1 answer:

Lady bird [3.3K]2 years ago

4 0

Answer:

y = -x + 1

Step-by-step explanation:

First, simplify -x+y=-6 to y = x - 6

Being perpendicular, then the x needs to be "flipped", making the slope y = -x

In order to have the slope go through (-4, 5), the line needs to intercept the y-axis at 1

Thus, the equation is

y = -x + 1

You might be interested in

Una librería consta de 5400 libros repartidos en 3 estanterías

pishuonlain [190]

Answer:

B = 900 Libros

A = 2700 Libros

C = 1800 Libros

Step-by-step explanation:

A = 3B

2B = C

A + B + C = 5400

3B + B + 2B = 5400

6B = 5400

B = 5400 / 6

B = 900 Libros

A = 3B

A = 3(900)

A = 2700 Libros

C = 2B

C = 2(900)

C = 1800 Libros

7 0

2 years ago

A airplane travels a speed of 300 miles per hour how far in miles will the air plane travel in 20 minutes decmal or fraction ans

Ierofanga [76]

Answer: $15$ or $\frac{15}{1}$

Step-by-step explanation:

We need to divide 300 by 20.

We get $15$ or $\frac{15}{1}$ .

7 0

2 years ago

Read 2 more answers

-2.2 + 0.3z= 3 -0.5z -0.8z<br><br> what does z equal

sineoko [7]

Add 2.2 to each side so 0.3z = 5.2 - 0.5z -0.8z
add 0.5z to each side so 0.8z = 5.2 - 0.8z
add 0.8z to each side so 1.4z = 5.2
divide each side by 1.4 so z = 3.71428571

4 0

3 years ago

Read 2 more answers

PLEASE HELP! I'll give 5 out of 5 stars, give thanks, and give as many points as I can.

Liula [17]

Answer:

$\boxed{\boxed{x=\dfrac{\pi}{3}\ \vee\ x=\pi\ \vee\ x=\dfrac{5\pi}{3}}}$

Step-by-step explanation:

$\cos(3x)=-1\iff3x=\pi+2k\pi\qquad k\in\mathbb{Z}\\\\\text{divide both sides by 3}\\\\x=\dfrac{\pi}{3}+\dfrac{2k\pi}{3}\\\\x\in[0,\ 2\pi)$

$\text{for}\ k=0\to x=\dfrac{\pi}{3}+\dfrac{2(0)\pi}{3}=\dfrac{\pi}{3}+0=\boxed{\dfrac{\pi}{3}}\in[0,\ 2\pi)\\\\\text{for}\ k=1\to x=\dfrac{\pi}{3}+\dfrac{2(1)\pi}{3}=\dfrac{\pi}{3}+\dfrac{2\pi}{3}=\dfrac{3\pi}{3}=\boxed{\pi}\in[0,\ 2\pi)\\\\\text{for}\ k=2\to x=\dfrac{\pi}{3}+\dfrac{2(2)\pi}{3}=\dfrac{\pi}{3}+\dfrac{4\pi}{3}=\boxed{\dfrac{5\pi}{3}}\in[0,\ 2\pi)\\\\\text{for}\ k=3\to x=\dfrac{\pi}{3}+\dfrac{2(3)\pi}{3}=\dfrac{\pi}{3}+\dfrac{6\pi}{3}=\dfrac{7\pi}{3}\notin[0,\ 2\po)$

7 0

3 years ago

Read 2 more answers

Help on number 12 please?

zloy xaker [14]

Answer:

f(n)= 5 · 4

$f(n) = 5 \times 4 ^{n - 1}$

Step-by-step explanation:

You use the explicit formula for geometric sequence. The five is the firat term and is placed correctly. The 4 is the rate of change, because if you multiply 5 by 4 you get 20 and so on.

7 0

3 years ago