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Anna007 [38]
3 years ago
15

Complete the equation of the line through (2,-2)(2,−2)left parenthesis, 2, comma, minus, 2, right parenthesis and (4,1)(4,1)left

parenthesis, 4, comma, 1, right parenthesis. Use exact numbers.
Mathematics
1 answer:
Daniel [21]3 years ago
3 0

Answer:

y=\frac{3}{2}x-5

Step-by-step explanation:

There are a couple of ways to solve this, depending on what you already know.

Point-Slope Form

y-y_1=m(x-x_1)  where <em>m</em> is the slope and (x_1, y_1) is a point on the line.

First, calculate the slope using the two given points (x_1, y_1), (x_2, y_2).

m=\frac{y_2-y_1}{x_2-x_1}=\frac{1-(-2)}{4-2}=\frac{3}{2} .

Fill in the point-slope pattern

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

There's the equation in slope-intercept form (y=mx+b).

Slope-Intercept Form

Use y=mx+b directly.

Find the slope just like the above, so m=\frac{3}{2}.

Now, plug one of the points (either one!) together with <em>m</em> into

y=mx+b\\-2=\frac{3}{2}(2)+b \\ -2=3+b \\ b=-5

Now you know the value of <em>b</em>, so the equation for the line is

y=\frac{3}{2}x-5

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A hungry elf ate 35 of your muffins. That was 710 of all of them! With how many did you start?
KengaRu [80]

Answer:

2094.5 muffins

Step-by-step explanation:

The problem is a little bit messy, but i’m guessing you meant that the elf ate 35% of the muffins, which 35% is 710 muffins. so since 35% of muffins is 710 muffins, let’s multiply that by 2 so we can get 70%.

so 710 x 2 is 1420. so 70% of the muffins is 1420 muffins! sadly that’s not all of the muffins. we’re still missing another 30%. since we don’t know how many muffins are in 30%, let’s just take 710 muffins - 5%. when you do that you get 674.5. so now that we know how much is in 30%, let’s take 1420 + 674.5. when you do that you get 2094.5! so you started off with 2094 and a half muffins!

6 0
2 years ago
Consider the function f(x)=4x2+4x+1. What is the vertex of the function?
bulgar [2K]

Answer:

The vertex of the function f(x)=4x^{2} +4x+1 is (-\frac{1}{2} ,0)

Step-by-step explanation:

I've graphed this on desmos for a visual

5 0
3 years ago
What does (0.6) squired 2 equal
wlad13 [49]

Answer:

.36

Step-by-step explanation:

4 0
2 years ago
Evaluate: 8 - 9+(-2)
Kobotan [32]
Evaluate : 8 - 9 + (-2)



8-9= -1 (because if you take away 9 from 8, you will end up with a negative number since there isn’t enough to take away.)

-1 + -2 = -3 (this is because when you are adding two negative numbers together, you will basically just add -1 and -2 as you would normally, then you would transfer the negative sign as well to make it -3)

Finally, your answer to this question is -3.
5 0
3 years ago
I got this far in my working out and am already stuck. have i gone wrong?
Kipish [7]

Yes, you made an algebraic error. By multiplying 18 x 4, you messed up on order of operations.

(x+9)(x+2)*4

becomes:

(x^2+11x+18)*4

= 4x^2 + 44x + 72


anyway, this is how I would do this problem:

(x+9)(x+2)(4) = 912

(x+9)(x+2) = 228

x^2 + 11x + 18 = 228

x^2 + 11x - 220 = 0

(x+21)(x-10) = 0

x = -21 or 10

The dimensions can't be negative, so we only use x = 10

The dimensions are then 10+9, 10+2, 4

or 19, 12, 4

6 0
3 years ago
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