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Ivan
3 years ago
14

In the coordinate plane shown, how far apart are points E and D? Explain how you can use the Pythagorean theorem to determine th

is.

Mathematics
2 answers:
Komok [63]3 years ago
7 0
The answer would be 11.6619037897 because if you make a triangle out of it the sides are 10 and 6 so a^2 + b^2 = c^2 and you get 136 and if you find the square root of that it is <span>11.6619037897</span>
Alenkinab [10]3 years ago
7 0
Point E is located at (-3,5)
Point D is located at (3,-5)
 

using the Pythagorean theorem formula:

Distance = sqrt((x2-x1)^2 + (Yy2-y1)^2)


distance = sqrt ((3- -3)^2 + (-5,5)^2)

distance = sqrt(136)

distance = 2sqrt(34) which is approximately 11.66 units 

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What is the value of 36X negative Y over to when X equals three and Y equals -6
Rus_ich [418]

<u><em>Note:</em></u>

<em>Your question is a little unclear. But, from my understanding, I assume you may be asking the evaluation of the expression 36x - y when x = 3 and y = -6.</em>

<em>so I will solve based on my assumption which anyways would clear your concept.</em>

Answer:

The value of 36x - y when x = 3 and y = -6 will be: 114

Step-by-step explanation:

Given

Assuming the expression

36x - y

To Determine

Evaluate 36x - y when x = 3 and y = -6

Given the expression

36x - y

substitute x = 3 and y = -6 to evaluate the expression

36x-y= 36(3) - (-6)

            = 108+6

            = 114

Therefore, the value of 36x - y when x = 3 and y = -6 will be: 114

5 0
3 years ago
Question:
aivan3 [116]

Answer:

part A) The scale factor of the sides (small to large) is 1/2

part B) Te ratio of the areas (small to large) is 1/4

part C) see the explanation

Step-by-step explanation:

Part A) Determine the scale factor of the sides (small to large).

we know that

The dilation is a non rigid transformation that produce similar figures

If two figures are similar, then the ratio of its corresponding sides is proportional

so

Let

z ----> the scale factor

\frac{CB}{C'B'}=\frac{CD}{C'D'}=\frac{BD}{B'D'}

The scale factor is equal to

z=\frac{CB}{C'B'}

substitute

z=\frac{4}{8}

simplify

z=\frac{1}{2}

Part B) What is the ratio of the areas (small to large)?

<em>Area of the small triangle</em>

A=\frac{1}{2}(2)(4)=4\ units^2

<em>Area of the large triangle</em>

A=\frac{1}{2}(4)(8)=16\ units^2

ratio of the areas (small to large)

ratio=\frac{4}{16}=\frac{1}{4}

Part C) Write a generalization about the ratio of the sides and the ratio of the areas of similar figures

In similar figures the ratio of its corresponding sides is proportional and this ratio is called the scale factor

In similar figures the ratio of its areas is equal to the scale factor squared

4 0
3 years ago
What is the answer for -3-(a-2)=7a+15
ale4655 [162]

Answer:

-5.25

Step-by-step explanation:

-3(-a+2)=7a+15

=>3a-6=7a+15

=>-15-6=7a-3a

=>-21=4a

=>a=-21/4=-5.25

hope this helps please mark as brainliest:)

7 0
3 years ago
Help please thank you
Genrish500 [490]

Answer:

2000

Step-by-step explanation:

1km=1000m

2km=2000m

6 0
3 years ago
A philanthropist pledges to donate 10% of a fund each year. If the fund initially has $450,000 how much will
Ann [662]

After 7 years fund balance will be $2152336.05 if the philanthropist pledges to donate 10% of a fund each year.

<h3>What is an exponential function?</h3>

It is defined as the function that rapidly increases and the value of the exponential function is always a positive. It denotes with exponent. \rm y = a^x

where a is a constant and a>1

We have:

A philanthropist pledges to donate 10% of a fund each year.

We can find the amount left after 7 years as follows:

A = 450000(1 - 0.1)⁷

10% of a fund each year.

Rate r = 10% = 0.1

A = 450000(0.9)⁷

A = $2152336.05

Thus, after 7 years fund balance will be $2152336.05 if the philanthropist pledges to donate 10% of a fund each year.

Learn more about the exponential function here:

brainly.com/question/11487261

#SPJ1

6 0
2 years ago
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