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Serhud [2]
4 years ago
12

Find the solution of 7x = 35, and verify your solution using substitution.

Mathematics
2 answers:
mylen [45]4 years ago
7 0

Answer : option D

Find the solution of 7x = 35

To solve for x , we need to get x alone

so we divide by 7 on both sides

\frac{7x}{7} =\frac{35}{7}

So x= 5

To verify the solution we plug in 5 for x in the given equation 7x= 35

x=5

We have, 7x= 35

7(5)= 35

35= 35

So verified

Stolb23 [73]4 years ago
4 0
The answer would be d because 5x7 would equal 35!
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Find the slope of the line passing through the points (-4, 8) and (2,8).
melamori03 [73]

Answer:

The slope of the line passing through the points (-4, 8) and (2,8) is 0

Step-by-step explanation:

The slope is 0 because you would subtract the y ones first 8-8, subtract the x ones next 2-(-4). You would get 0/6. When you would divide 0/6, you would get 0

4 0
3 years ago
The endpoint coordinates of AB are A(2, -10) & B(12, 5). Find the coordinates of the point that is 2/5 from A to B.
sergey [27]
<h3>Answer: \large \boldsymbol {\sf 2\sqrt{13} \approx7,2}</h3>

Step-by-step explanation:

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  • \large  \boldsymbol {\sf D=\sqrt{(x_1-x_2)^2+(y_1+y_2)^2} }

  • \large \boldsymbol{}  \sf D=\sqrt{(2-12)^2+(-10-5)^2} =\sqrt{100+225} =\boldsymbol {\sqrt{325}=5\sqrt{13}  }  

  • By the condition we are told to find 2/5 the distance between points A and B

  • \sf \large \boldsymbol {} \dfrac{2}{5} \cdot D=5\sqrt{13}  \cdot \dfrac{2}{5} =\boxed{\sf 2\sqrt{13}}

  • We can also find the distance between them through the  Pythagorean theorem we will complete a right triangle
  • AB²=AC²+BC²
  • AB=√AC²+BC²
  • Where AC=10  ; BC=15  
  • AB=\boldsymbol {\sf \sqrt{15^2+10^2}=\sqrt{325}=5\sqrt{13}   }
  • Then 2/5* AB=2\sqrt{13}

3 0
3 years ago
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Step-by-step explanation:

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4 0
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\bf n^{th}\textit{ term of an arithmetic sequence}&#10;\\\\&#10;a_n=a_1+(n-1)d\qquad&#10;\begin{cases}&#10;n=n^{th}\ term\\&#10;a_1=\textit{first term's value}\\&#10;d=\textit{common difference}\\[-0.5em]&#10;\hrulefill\\&#10;a_1=1100\\&#10;d=35\\&#10;a_n=3725&#10;\end{cases}&#10;\\\\\\&#10;3725=1100+(n-1)35\implies 3725=1100+35n-35&#10;\\\\\\&#10;3725=1065+35n\implies 2660=35n\implies \cfrac{2660}{35}=n\implies 76=n

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8 0
2 years ago
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