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3 years ago

PLZ HELP

Mathematics

2 answers:

Aliun [14]3 years ago

6 0

point slope form

y-y1 = m(x-x1)

y--3 = 2/3(x-5)

y+3=2/3(x-5)

Choice D

garri49 [273]3 years ago

5 0

<u><em>D. is the correct answer.</em></u>

Slope intercept form: $y=mx+b$

m: represents the slope and is constant.

b: represents the y-intercept.

Given the following equation, locate the slope and y-intercept of the line.

For example: $y=-\frac{1}{2}x-8$

The slope: m= $-\frac{1}{2}$

The y-intercept: b= $-8$

Point slope form: → $slope=\frac{y^2-y^1}{x^2-x^1}$

$m=\frac{y^2-y^1}{x^2-x^1}$

Used: rise/run

$m=\frac{rise}{run}$

Given:

$(y^1)=m(x^1)$

$y-3=\frac{2}{3}(x-5)$

Then you add by the variable on y-3.

$\boxed{y+3=2/3(x-5)}$

Hope this helps!

Thanks!

Have a great day!

You might be interested in

The formula T= 2pi sqrt(L/32) relates the time, T, in seconds for a pendulum with the length, L, in feet, to make one full swing

pantera1 [17]

Remark

I like to work from the original equation.

Givens

T = 2.2 seconds

pi = 3.14

L = ??

Substitute and Solve

T = 2*pi*sqrt(L/32) Find the value of 2*pi

2.2 = 2*3.14* sqrt(L/32)

2.2 = 6.28 * sqrt(L/32) Divide both sides by 6.28

2.2/6.28 = sqrt(L/32)

0.35032 = sqrt(L/32) Square both sides.

0.122723 = L/32 Multiply both sides by 32

0.122723 * 32 = L

L = 3.927 feet. <<<<< Length pendulum creating 2.2 seconds.

3 0

3 years ago

Read 2 more answers

Factorise x squared + 4x + 3

olganol [36]

<h3>Answer: (x+1)(x+3)</h3>

===================================================

Explanation:

Let's assume it factors into (x+a)(x+b)

The goal is to find the two numbers a and b.

FOIL out (x+a)(x+b) to get x^2+(a+b)x+ab

Note how a+b is the middle term and ab is the last term.

In the original expression, 4 is the middle term and 3 is the last term.

So we need to find two numbers that

add to 4
multiply to 3

There are two ways to multiply to 3 and they are

1 times 3 = 3
-1 times -3 = -3

But only the first way has the factors add to 4. So that means a = 1 and b = 3.

Therefore (x+a)(x+b) = (x+1)(x+3)

And x^2+4x+3 = (x+1)(x+3)

8 0

3 years ago

Cris answered 61 out of 66 questions correctly on a test. what is his test average to the nearest thousand?

qaws [65]

His test average is 92.42424242424242 which rounds up to 92.424.

4 0

3 years ago

I don’t know how to do this

lina2011 [118]

What is the question you need help on?

3 0

3 years ago

Number 8 only please

givi [52]

Answer:

Should be roughly 79.76% if I'm doing this right.

Step-by-step explanation:

Looking at the problem, you're given 3 things:

1) 6.8 million tonnes are recycled;

2) 6.8 million tonnes is 27% of the total household waste;

3) 20.1 million tonnes could be recycled.

Since they're asking for what percentage of <em>total</em> household waste could be recycled, you're looking at a multi-step cross multiplication problem.

It's not very difficult though, don't worry.

So I'm gonna start by telling you to just forget that the word "million" exists for the moment. You only need 6.8, 20.1, and 27%.

Setting up the first part of the problem requires you to convert 27% into a fraction. That's $\frac{27}{100}$ .

6.8 is 27% of some mysterious number that we need to figure out what percent of household waste could be recycled, so that'll be set up on the opposite side of the equal sign as the equivalent to 27.

So we're starting out with this: $\frac{6.8}{?} =\frac{27}{100}$

Since you're trying to initially find the total household waste, we're setting x as the variable to solve for.

$\frac{6.8}{x} =\frac{27}{100}$

Cross-multiplying** means you multiply the numerator of one side of the equal sign to the denominator of the other side of the equal sign, and vice versa (denominator of one side to numerator of other). So multiply 6.8 to 100, and 27 to x.

$680=27x$

Now that you have this, you have to isolate x. Divide both sides by 27 to do this.

$25.185185...=x$

I'm gonna round that for simplicity's sake, because 185 repeats.

$25.2=x$

So we have 25.2 million tonnes of total household waste. Great! Now we can find the <em>percentage </em>of household waste that could be recycled.

Since we have how much could be recycled and the total, we just need to solve for the percent this time. So this is what the set-up will look like:

$\frac{20.1}{25.2} =\frac{x}{100}$

x being the percent we're solving for.

Cross-multiply again:

$2010=25.2x$

Divide both sides by 25.2:

$79.761904761904...=x$

Then round for simplicity's sake:

$79.76=x$

And you get 79.76% of household waste could be recycled.

Hope this helped!

**Be careful with cross-multiplying when you get to higher level math though. Not every situation allows for cross-multiplying. In fact, you can only cross-multiply when there's an equal sign.

6 0

3 years ago