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IrinaK [193]
3 years ago
9

Please help with geometry homework !!!

Mathematics
1 answer:
Umnica [9.8K]3 years ago
5 0

You can solve this with next proportion =>

3 : 5 = 4 : x => 3x= 5*4 => 3x = 20 => x=20/3 = 6 (2/3)

The correct answer is  x= 6 (2/3)

Good luck!!!

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What is the solution of this system of linear equations? 3y = x + 6 y – x = 3
Fofino [41]
First isolate y by adding x to both sides in y-x=3 and getting y=x+3
Step 1: substitute x+3 for y in 3y=x+6 to get 3(x+3)=x+6
Step 2: distribute 3x+9=x+6
Step 3: subtract like terms 2x=-3
Step 4: divide x=-3/2

substitute -3/2 for x in y=x+3 to get
y=-3/2+3
y=3/2

answer: y=3/2 x=-3/2
5 0
2 years ago
A city government is considering raising the local income tax to pay for improvements to government facilities. A
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4 0
2 years ago
Write the equation of the line that passes through (3, 4) and 2, -1) in slope-intercept form
Marat540 [252]

Answer:

Step-by-step explanation:

(-1 -4)/(2 - 3) = -5/-1 = 5

y - 4 = 5(x - 3)

y - 4 = 5x - 15

y = 5x - 11

4 0
3 years ago
What is the answer to #3?
Rudiy27
I believe the answer is the last option choice. 
6 0
3 years ago
Which system of linear inequalities is represented by the graph x+5y&gt;5 y&lt;2x+4
grandymaker [24]

Answer:

The lines represent the inequalities .

Further explanation:

The linear equation with slope m and intercept c is given as follows.

The formula for slope of line with points   and   can be expressed as,

Given:

The inequalities are as follows.

a. x – 5y < –5 and y < –2x – 4

b. x + 5y > 5 and y < 2x + 4

c. x – 5y < –5 and y < –2x + 4

d. x + 5y > 5 and y < 2x – 4

Step-by-step explanation:

The blue line intersects y-axis at , therefore the y-intercept is 4.

The blue line intersect the points that are  and .

The slope of the line can be obtained as follows.

The slope of the line is m = 2.

Now check whether the inequality included origin or not.

Substitute  in equation y=x+1.

0 is not greater than 1 which means that the inequality doesn’t include origin.

Therefore, the blue line is y < 2x + 4.

The orange line intersects y-axis at , therefore the y-intercept is 1.

The orange line intersect the points that are  and  .

The slope of the line can be obtained as follows.

The slope of the line is m =  .

Now check whether the inequality included origin or not.

Substitute  in equation y > .

0 is not greater than 1 which means that the inequality doesn’t include origin.

Therefore, the orange line is y > .

Solve the equation y > .

The equation of orange line is 5y + x > 5.

Option (a) is not correct as it satisfy the inequalities of the graph.

Option (b) is correct as it satisfy the inequalities of the graph.

Option (c) is not correct as it satisfy the inequalities of the graph.

Option (d) is is not correct as it satisfy the inequalities of the graph.

Hence,  is correct.

7 0
3 years ago
Read 2 more answers
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