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3 years ago

2. 2(x+1.25) = 3.5

Mathematics

2 answers:

dangina [55]3 years ago

8 0

Answer:

x = 0.5

Step-by-step explanation:

Given

2(x + 1.25) = 3.5 ← divide both sides by 2

x + 1.25 = 1.75 ( subtract 1.25 from both sides )

x = 0.5

Dmitriy789 [7]3 years ago

3 0

Dividing first:

If we divide both sides by 2, we get

$x+1.25=1.75$

Subtracting 1.25 from both sides:

$x=0.5$

Distributing first:

The left hand side becomes

$2x+2.5=3.5$

Subtract 2.5 from both sides:

$2x=1$

Divide both sides by 2:

$x=0.5$

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Answer:

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Explanation:

In the graph:

The given locations are:

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• David's House, B(15,13)

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We determine both Owen's and David's distance from the school using the distance formula.

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

Owen's distance from school (AC)

$\begin{gathered} AC=\sqrt[]{(3-11)^2+(18-3)^2} \\ =\sqrt[]{(-8)^2+(15)^2} \\ =\sqrt[]{64+225} \\ =\sqrt[]{289} \\ AC=17\text{ miles} \end{gathered}$

David's distance from school (BC)

$\begin{gathered} BC=\sqrt[]{(3-15)^2+(18-13)^2} \\ =\sqrt[]{(-12)^2+(5)^2} \\ =\sqrt[]{144+25} \\ =\sqrt[]{169} \\ BC=13\text{ miles} \end{gathered}$

We see from the calculations that David lives closer to the school, and by 4 miles.

The graph below is attached for further understanding:

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1 year ago

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In both systems of equations, there are inverses of variable y. Therefore, we can combine the systems of equations by adding them together:

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One of the numbers will be 17.

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