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tamaranim1 [39]
2 years ago
5

Helpthis is easyfor u

Mathematics
1 answer:
SVETLANKA909090 [29]2 years ago
8 0

Answer:

2587

+

9534

—————

12 121

This is the answer :)

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Without plotting points, let M=(-2,-1), N=(3,1), M'= (0,2), and N'=(5, 4). Without using the distanceformula, show that segments
kramer

Given:

M=(x1, y1)=(-2,-1),

N=(x2, y2)=(3,1),

M'=(x3, y3)= (0,2),

N'=(x4, y4)=(5, 4).

We can prove MN and M'N' have the same length by proving that the points form the vertices of a parallelogram.

For a parallelogram, opposite sides are equal

If we prove that the quadrilateral MNN'M' forms a parallellogram, then MN and M'N' will be the oppposite sides. So, we can prove that MN=M'N'.

To prove MNN'M' is a parallelogram, we have to first prove that two pairs of opposite sides are parallel,

Slope of MN= Slope of M'N'.

Slope of MM'=NN'.

\begin{gathered} \text{Slope of MN=}\frac{y2-y1}{x2-x1} \\ =\frac{1-(-1)}{3-(-2)} \\ =\frac{2}{5} \\ \text{Slope of M'N'=}\frac{y4-y3}{x4-x3} \\ =\frac{4-2}{5-0} \\ =\frac{2}{5} \end{gathered}

Hence, slope of MN=Slope of M'N' and therefore, MN parallel to M'N'

\begin{gathered} \text{Slope of MM'=}\frac{y3-y1}{x3-x1} \\ =\frac{4-(-1)}{5-(-2)} \\ =\frac{3}{2} \\ \text{Slope of NN'=}\frac{y4-y2}{x4-x2} \\ =\frac{4-1}{5-3} \\ =\frac{3}{2} \end{gathered}

Hence, slope of MM'=Slope of NN' nd therefore, MM' parallel to NN'.

Since both pairs of opposite sides of MNN'M' are parallel, MM'N'N is a parallelogram.

Since the opposite sides are of equal length in a parallelogram, it is proved that segments MN and M'N' have the same length.

7 0
1 year ago
An ANOVA procedure is used for data that were obtained from four sample groups each comprised of five observations. The degrees
jeyben [28]

Answer:

(3,16)

Step-by-step explanation:

The degrees of freedom of the critical value F are (k-1,n-k).

We are given that there are four sample group, so,

k=4.

Also, we are given that the each four groups contains five observations, so,

n=4*5

n=20

The critical value F has degree of freedom

(k-1,n-k)

(4-1,20-4)

(3,16).

Thus, the degrees of freedom for the critical value of F are (3,16).

6 0
3 years ago
Liberty bought a make-your-own salad when she went out to lunch at a restaurant. The salad cost $4, plus $0.85 for each salad to
Bogdan [553]

I believe you answer would be $4 + $0.85t =$9.95

5 0
2 years ago
Read 2 more answers
What type(s) of symmetry does this figure have?
NeTakaya
It has reflectional symmetry
7 0
3 years ago
Read 2 more answers
Hello do any one know this answer
natita [175]

Answer:

A: y = -2x^2

Step-by-step explanation:

The parent function would be y = x^2 since it is a parabola.

Since the function has a vertical stretch by 2, y = 2x^2.

Finally, the function is inverted so the final equation would be y = -2x^2

3 0
3 years ago
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