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morpeh [17]
3 years ago
8

WILL MARK BRAINLY IF CORRECT!

Mathematics
1 answer:
bogdanovich [222]3 years ago
6 0

Answer:

15

Step-by-step explanation:

The given equation is

12( -  \frac{1}{6}x  -  \frac{2}{3}y =  - 5)

5( \frac{2}{5} x +  \frac{1}{5} y =  - 9)

When we multiply we obtain the equations:

- 2x  -  8y =  - 60

2x + y =  - 45

We add both equations to obtain:

- 7y =  - 105

Divide both sides by -7 to get:

y =  \frac{105}{7}  = 15

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The locations:
GREYUIT [131]

The quadrilateral is a trapezoid and the area of the quadrilateral is 85.04 square units

<h3>How to determine the quadrilateral?</h3>

The vertices are given as:

A:(-2, 3) B:(4, -6) C:(10, 2) D:(6, 8)

Next, we plot the vertices (see attachment)

From the attached graph, we can see that the quadrilateral is a trapezoid

<h3>How to determine the area?</h3>

From the plot, we have the following features:

Height: AD

Parallel sides: CD and AB

Calculate the lengths using:

d = \sqrt{(x_2 -x_1)^2 + (y_2 -y_1)^2}

So, we have:

AD = \sqrt{(-2 -6)^2 + (3 -8)^2}

AD = \sqrt{89}

CD = \sqrt{(10 -6)^2 + (2 -8)^2}

CD = \sqrt{52}

AB = \sqrt{(-2 -4)^2 + (3 +6)^2}

AB = \sqrt{117}

The area is then calculated as:

Area = 0.5 * (CD + AB) * AD

This gives

Area = 0.5 * (√52 + √117) * √89

Evaluate

Area = 85.04

Hence, the area of the quadrilateral is 85.04 square units

Read more about areas at:

brainly.com/question/24487155

#SPJ1

7 0
1 year ago
Suppose that E and F are two events and that N (E and F) = 260 and N(E) = 630. What is P(F|E)​?
Sveta_85 [38]

Answer: 0.4127

Step-by-step explanation:

The probability formula to find p(F/E):

p(F/E)= N(E n F) / N(E)

p(F/E)= 260 / 630

p(F/E) = 0.4127

5 0
3 years ago
Can someone help me to solve this number 9?
horsena [70]

I will say 1 block is 1 something okay cause I don’t have a key mini has an area of 2 (2x2=4/2=2) And the giant has an area of 32 (8x8=64/2=32) I don’t know if the small one became big or the big one became small so if the small to big is 16 big to small is 0.0625 or the numbers the other way around

8 0
3 years ago
Read 2 more answers
A right rectangular prism and an oblique triangular prism are both 12 centimeters tall and have the same volume. What Statement
Eva8 [605]
Check the picture.

The bases of the 2 prisms are on 2 parallel planes, a and b.

Let c be a third plane, between a and b, parallel to both.

Then, 

 the cross-sections A and B , of the 2 prisms, formed by plane c, have Equal Areas,

this is by Cavalier's Principle.

7 0
3 years ago
Insert a rational number between 3 and 3.5
lorasvet [3.4K]

A rational number is any number that can be made into a fraction and is either repeating or stops when in decimal form.

Rational numbers between 3 and 3.5 would be 10/3 (3.33 repeating), and 13/4 (3.25).

Hope this helps!! :)

8 0
2 years ago
Read 2 more answers
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