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andrew11 [14]
3 years ago
8

Identify the property that justifies the statement: 5(x-3)=5x-15

Mathematics
2 answers:
Andrews [41]3 years ago
5 0
D.) Distributive
Because you times it all by 5.
5(x) = 5x
5(-3) = -15
tekilochka [14]3 years ago
4 0
D. Distributive because 5 is distributed to (x-3) to get 5x-15
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What is the equation for the linear model in the scatter plot obtained by choosing the two points closest to the line?
HACTEHA [7]

Answer:

Option C is the answer.

Step-by-step explanation:

To find the equation of the straight line equation i.e, we must be given with the two points \left (x_{1},y_{1} \right ) and \left (x_{2},y_{2}\right )

Since from the graph the two points closest to the line are\left ( 10,36 \right ) and \left ( 22,12 \right ).

Equation of line with two points closest to the line :

                                                    y-y_{1}=m\cdot \left ( x-x_{1} \right )

where m is the slope.

First we find the slope(m)=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}  

m=\frac{12-36}{22-10}

on simplify we get,  m=-2.

Now, to find  the equation of the line:  y-y_{1}=m\cdot \left ( x-x_{1} \right )

y-36=\left ( -2 \right )\cdot \left ( x-10 \right )

Apply distributive property on right hand side, we get

y-36=-2\cdot x+20

Adding both sides by 36, we get

y=-2x+20+36

y=-2x+56.

The equation for the linear  model in the scatter plot obtained by the two closest point \left ( 10,36 \right ) and \left ( 22,12 \right ) closest to the line is,

y=-2x+56










7 0
2 years ago
Read 2 more answers
a toy company need to package balls with a 2in radius in sets of 2. they have two options: a square prism or a cylinder. The dim
Brut [27]

Answer:

Step-by-step explanation:

square prism

6 0
3 years ago
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64 as a mixed number
Kaylis [27]
I'm perdy sure it's 64/1 but yk it could be something else XD :D good luck!

6 0
2 years ago
Polygon C and polygon D are similar. The perimeter of polygon C is 192 inches, and the perimeter of polygon D is 48 inches. If o
Marianna [84]

Answer:

B. 2 in.

Step-by-step explanation:

First, put the two perimeters together to form a fraction.

192/48, which can simplify to 4/1

Now, following the order in which you put the perimeters (I used C/D,) set it equal to the sides.

\frac{4}{1}  =  \frac{8}{x}

Now, cross multiply. (multiply 1 and 8, 4 and x.)

4x = 8

Now, solve.

x=2 inches.

3 0
2 years ago
Convert to factored form <br> y = x² + 6x
steposvetlana [31]

<em><u>Convert to factored form is:</u></em>

y = x(x + 6)

<em><u>Solution:</u></em>

Given that,

y = x^2 + 6x

We have to convert to factored form

Factored form means writing terms in multiplication. i.e as a product

From given,

y = x^2 + 6x

Factor out x from above given expression

y = x(x + 6)

Here, the given equation is written as product of "x" and (x + 6)

Thus the factored form is found

8 0
3 years ago
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