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irga5000 [103]
4 years ago
5

Which of the following coordinate points is the point of intersection of these two lines? y - 6x = -4 and y - 2x = 8

Mathematics
1 answer:
Nimfa-mama [501]4 years ago
7 0

Answer:

(x,y)=(3,14)

Step-by-step explanation:

y-6x=-4 , y=-4+6x

y-2x=8, y=8+2x

(y=)-4+6x=8+2x

6x-2x=8+4

4x=12

x=12/4

x=3, then

y=-4+6*3=-4+18=14

(x,y)=(3,14)

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What is the answer for number 8 and pls give step by step
Pie

Answer:

Trapezoid 1 (left side):

Base 1 = 2

Base 2 = 5

Trapezoid 2 (right side):

Base 1 = 6

Base 2 = 8

Step-by-step explanation:

<u>1st trapezoid:</u>

b_1 = x

b_2 = x + 3

h = 4

Hence, area (from formula) would be:

A=\frac{h}{2}(b_1+b_2)\\A=\frac{4}{2}(x+x+3)\\A=2(2x+3)\\A=4x+6

<u>2nd trapezoid:</u>

b_1 = 3x

b_2 = 4x

h = 2

Putting into formula, we get:

A=\frac{h}{2}(b_1+b_2)\\A=\frac{2}{2}(3x+4x)\\A=1(7x)\\A=7x

Let's equate both equations for area and find x first:

4x+6=7x\\6=7x-4x\\6=3x\\x=\frac{6}{3}\\x=2

We can plug in 2 into x and find length of each base of each trapezoid.

Trapezoid 1 (left side):

Base 1 = x = 2

Base 2 = x + 3 = 2 + 3 = 5

Trapezoid 2 (right side):

Base 1 = 3x = 3(2) = 6

Base 2 = 4x = 4(2) = 8

8 0
3 years ago
4. Use the substitution method to determine the solution to this system of equations.
N76 [4]

Answer:

No solution

Step-by-step explanation:

6X - 3Y = -9--------------(1)

- 2 X +Y= 5---------------(2)

from equation two,

Y = 5+2X------------------(3)

substitute equation (3) into equation (1)

6X-3(5+2X)= -9

opening bracket

6X-15-6X= -9

6X- 6X = -9+15

0 = 6

<h2>therefore the answer is no solution</h2>

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2 years ago
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Answer:

-200%, -2, and -2. those are the answers in order

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a drink is made by mixing pineapple juice orange juice and lime juice in the ratio 2:7:3 Sally makes 600ml of the fruit drink ho
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She used 100 ml of pineapple juice.
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4 years ago
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