Help me plese! Look at pic!

What is y - 8 = -1/2 (x + 4) in standard form (8th grade math)

Scilla [17]

This equation is in point-slope form. To change it to standard form, you must distribute -1/2 to (x+4) to get -1/2x-2. Your equation should now be y-8 = -1/2x-2. You should then add 1/2x to both sides (to cancel out -1/2x on the right side). Now, you should have y+1/2x-8 = -2. Finally, add 8 to both sides (to cancel out -8 on the left side) and flip the x and the y to get a final answer of 1/2x+y = 6.

3 0

4 years ago

Read 2 more answers

A model of a building is 18 inches tall. If the building is really 678 feet tall, how tall is a window that is 1/9 in on the mod

ipn [44]

Answer:

50.2in or 4.2ft

Step-by-step explanation:

This is a problem about proportions so I generally set up my problems like below. I just set some variable here to make it easier to refer back to the measurements for each. You don't have to do this, I am just showing it for clarity. I will convert everything to inches too. We need to find the real window height.

Mb = model building = 18in

Mw= model window = $\frac{1}{9}$ in

Rb = real building = 678ft = 8136in

Rw = real window = ?

$\frac{Mw}{Mb}$ = $\frac{Rw}{Rb}$

$\frac{1/9}{18}$ = $\frac{Rw}{8136}$

$\frac{1}{9*18}$ = $\frac{Rw}{8136}$

$\frac{1}{162}$ = $\frac{Rw}{8136}$

$\frac{1*8136}{162}$ = $\frac{8136*Rw}{8136}$

$\frac{8136}{162}$ = Rw

$\frac{452}{9}$ = Rw

Rw ≈ 50.2in ≈ 4.2ft

5 0

2 years ago

Find the volume of the figure. Round your answers to the nearest tenth. It is recommended you use the π button on your calculato

Rom4ik [11]

Answer:

628.3 mi ³

Step-by-step explanation:

The formula for the volume of a cylinder is equal to πr²h, where r represents the radius of a circle on either the top/bottom of the cylinder and h represents the height. Here, the radius is given as 5 and the height as 8, so our volume is

πr²h = π (5)² h= π(25)(8) ≈ 628.3

4 0

3 years ago

An explosion causes debris to rise vertically with an initial speed of 120 feet per second. The formula h equals negative 16 t s

Novay_Z [31]

Answer:

The debris will be at a height of 56 ft when time is <u>0.5 s and 7 s.</u>

Step-by-step explanation:

Given:

Initial speed of debris is, $s=120\ ft/s$

The height 'h' of the debris above the ground is given as:

$h(t)=-16t^2+120t$

As per question, $h(t)=56\ ft$ . Therefore,

$56=-16t^2+120t$

Rewriting the above equation into a standard quadratic equation and solving for 't', we get:

$-16t^2+120t-56=0\\\textrm{Dividing by -8 throughout, we get}\\\frac{-16}{-8}t^2+\frac{120}{-8}t-\frac{56}{-8}=0\\2t^2-15t+7=0$

Using quadratic formula to solve for 't', we get:

$t=\frac{-b\pm \sqrt{b^2-4ac}}{2a}\\\\t=\frac{-(-15)\pm \sqrt{(-15)^2-4(2)(7)}}{2(2)}\\\\t=\frac{15\pm \sqrt{225-56}}{4}\\\\t=\frac{15\pm\sqrt{169}}{4}\\\\t=\frac{15\pm 13}{4}\\\\t=\frac{15-13}{4}\ or\ t=\frac{15+13}{4}\\\\t=\frac{2}{4}\ or\ t=\frac{28}{4}\\\\t=0.5\ s\ or\ t=7\ s$

Therefore, the debris will reach a height of 56 ft twice.

When time $t=0.5\ s$ during the upward journey, the debris is at height of 56 ft.

Again after reaching maximum height, the debris falls back and at $t=7\ s$ , the height is 56 ft.

5 0

3 years ago

Need help pleasethank you

ad-work [718]

To divide like bases just subtract the exponents
answer is 2^(13-3) or 2^10 or 1024

8 0

3 years ago