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puteri [66]
4 years ago
10

4x + 7 = 3x + 18 Please help! & show work thank you!

Mathematics
1 answer:
Zolol [24]4 years ago
4 0

4x+7=3x+18

-3x =-3x subtract 3x from both sides

x+7=18 you're left with x

-7 =-7 subtract 7 from each side

x= 11 you're left with 11 as your answer


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For 9 and 9A, find the slope of the line​
djverab [1.8K]

For this case we have that by definition, the slope of a line is given by:

m = \frac {y_ {2} -y_ {1}} {x_ {2} -x_ {1}}

Where:

(x_ {1}, y_ {1}) and (x_ {2}, y_ {2}) are two points through which the line passes.

Question 1:

According to the image, we have the following points:

(x_ {1}, y_ {1}) :( 2, -6)\\(x_ {2}, y_ {2}): (- 6,5)

Substituting we have:

m = \frac {5 - (- 6)} {- 6-2} = \frac {5 + 6} {- 8} = \frac {11} {- 8} = - \frac {11} {8}

Thus, the slope is: - \frac {11} {8}

Question 2:

According to the image, the line goes through the following points:

(x_ {1}, y_ {1}): (- 1,2)\\(x_ {2}, y_ {2}) :( 2, -2)

Substituting we have:

m = \frac {-2-2} {2 - (- 1)} = \frac {-4} {2 + 1} = \frac {-4} {3} = - \frac {4} {3}

Thus, the slope is: - \frac {4} {3}

Answer:

Slope 1: - \frac {11} {8}

Slope 2:- \frac {4} {3}

3 0
4 years ago
If a diameter of a circle has endpoints (-3,5) and<br> (5, 7), then the center of the circle is
zavuch27 [327]

Answer:

(1 , 6)

Step-by-step explanation:

the center of the circle is the midpoint of the diameter

Which is the point of coordinates:

(\frac{-3+5}{2} ,\frac{5+7}{2} )

Then the center is the point :

(1 , 6)

6 0
2 years ago
Read 2 more answers
Which equation is not true 12/10=6/5 3/1=30/10 6/2=2/3 8/6=16/12
blsea [12.9K]

Answer:

third one is not true means wrong

6 0
3 years ago
The difference between Lana's and her younger sister Lee's ages is 2. If Lee is 17 years old, how old is Lana? Let x represent L
tatyana61 [14]

Answer:

x = <u>19</u>

x - 17 = 2

2 + 17 = <u>19</u>

<em>Hope this helps!</em>

7 0
3 years ago
I don’t know how to solve this
V125BC [204]

Assuming that both triangles are an exact copy of one another, it is safe to assume that 3y-7 is equal to 41. Set up an equation

3y-7=41

Add 7 to both sides

3y=48

Divide both sides by 3

y=16


Now to find PN.

Based on what we know, we can assume that MP = PN. Let's make some equations!

MP = 17x-8     PN = 11x+4

17x-8 = 11x+4

Subtract 11x from both sides

6x-8 = 4

Add 8 to both sides

6x = 12

Divide by 2

x=2

Substitute 2 in for x in the equation for PN

11(2)+4

Multiply 11 by 2

22+4 = 26

PN = 26

7 0
3 years ago
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