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kipiarov [429]
3 years ago
15

Find the distance between the two points.

Mathematics
1 answer:
Ksenya-84 [330]3 years ago
4 0

Hey there!

Distance formula:

d = \sqrt{(x_{2}-x_{1})+(y_{2}-y_{1}) }

Plug in variables:

d = \sqrt{(0-(-6))+(0-(-7))}

Simplify.

d = \sqrt{6+7}

d = \sqrt{13}

The distance between the two points is \sqrt{13}  units.

Hope this helps!

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zloy xaker [14]
Here are some things you should know when solving algebraic equations.

If you add an expression to both sides of an equation, the resulting equation will have the same solution set as the original equation. In other words, they will be equivalent. This is true for all operations. As long both sides are treated the same, the equation will stay balanced.

You will also need to know how to combine like terms. But what are like terms to begin with? Like terms are defined as two terms having the same variable(s) (or lack thereof) and are raised to the same power. In mathematics, something raised to the first power stays the same. So, 5x and 10x are like terms because they both have the same variable and are raised to the first power. You don’t see the exponents because it doesn’t change the value of the terms.

To combine like terms, simplify add the coefficients and keep the common variable(s) and exponent.

The distributive property is another important rule you will need to understand.

The distributive property is used mostly for simplifying parentheses in expressions/equations. 

For example, how would you get rid of the parentheses here?

6(x + 1)

If there wasn’t an unknown in between the parentheses, you could just add then multiply. That is what the distributive property solves. The distributive property states that a(b + c) = ab + ac

So, now we can simplify our expression.

6(x + 1) = 6x + 6

Now let's solve your equation.

9v = 8 + v
8v = 8 <-- Subtract v from each side
v = 1 <-- Divide both sides by 8

So, v is equal to 1.
5 0
3 years ago
You are trying to recreate flubber because you are obsessed with that movie and you thought it was the coolest. you take 70% sli
german

Let x be the amount (gal) of the 40% slime solution you end up using. You want to end up with 120 gal of the 50% solution, so that you would use 120-x gal of the 70% solution.

You want the final solution to consist of 50% slime, or 60 gal of slime. Each gal of the 40% solution contributes 0.4 gal of slime, while each gal of the 70% solution contributes 0.7 gal of slime. This means

0.4x+0.7(120-x)=0.5\cdot120=60

\implies0.4x+84-0.7x=60

\implies24=0.3x

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so the answer is B.

8 0
3 years ago
What is the slop intercept form of a line that passes threw (4,-4) and (8, -10)
BigorU [14]

For this case we have that by definition, the equation of a line of the slope-intersection form is given by:

y = mx + b

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m: It's the slope

b: It is the cut-off point with the y axis

We have two points through which the line passes, so we can find the slope:

(x_ {1}, y_ {1}) :( 4, -4)\\(x_ {2}, y_ {2}) :( 8, -10)\\m = \frac {y_ {2} -y_ {1}} {x_ {2} -x_ {1}} = \frac {-10 - (- 4)} {8-4} = \frac {-10+ 4} {4} = \frac {-6} {4} = - \frac {3} {2}

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y = - \frac {3} {2} x + b

We substitute one of the points and find "b":

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Finally, the equation is of the form:

y = - \frac {3} {2} +2

ANswer:

y = - \frac {3} {2} +2

4 0
3 years ago
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wariber [46]

Answer:

an expression designed to call something to mind without mentioning it explicitly; an indirect or passing reference.

Step-by-step explanation:

4 0
3 years ago
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3 years ago
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