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Volgvan
3 years ago
15

X-4y=-17 and y=4x +8 solve by graphing please and show the solution

Mathematics
1 answer:
nikitadnepr [17]3 years ago
6 0

Answer:

The answer to your question is (-1, 4) The lines cross in one point so they have only one solution.

Step-by-step explanation:

Data

Equation 1     x - 4y = -17

Equation 2    y = 4x + 8

Solve for y

Equation 1          y = -x/-4 - 17/-4

                          y = x/4 + 17/4

Equation 2         y = 4x + 8

See the graph below

These lines cross in point (-1, 4), so that is the only one solution.

If the lines were the same line they would have infinite solutions

                   

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If the points at (-4, 3) and (2, 3) are reflected over the x-axis to create two new points, what shape can be formed by the four
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Answer:

Step-by-step explanation:

Let (a,b)\in \mathbb{R}^{2}, a reflection over the x-axis consists in the following operation:

(a,b) \rightarrow (a,-b)

If we know that X = (-4,3) and Y = (2, 3), then the points translated over the x-axis are X' = (-4, -3) and Y' = (2,-3), respectively. The most precise description of the shape is a rectangle for the following facts:

1) XX' = YY' = 8 and XY = X'Y' = 6.

2) X and X' have the same x-component.

3) Y and Y' have the same x-component.

4) X and Y have the same y-component.

5) X' and Y' have the same y-component.

A representation of the shape is included below as attachment.

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3 years ago
8, 6, 4, 2, 0, . . . Whats the value of the next sequence
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Step-by-step explanation:

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3 years ago
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3 years ago
13. The radius of Earth is approximately 6.4 x 100 m. Use the formula V = 4/3pr^3
romanna [79]

<u>We are given</u>

  • Radius of Earth; 6.4 x 100 meters = 640 meters

Clearly, the shape of the earth is a sphere. Thus, to determine the volume of the earth, we will use a formula that determines the volume of a sphere.

\implies \text{Volume of sphere =} \   \dfrac{4\pi r^{3}}{3}

When we substitute the radius in the formula, we get;

\implies\text{Volume of sphere} = \dfrac{4\pi (640)^{3}}{3}

\implies\text{Volume of sphere} = \dfrac{4\pi (640)(640)(640)}{3}

Take π as 3.14

\implies\text{Volume of sphere} = \dfrac{4\pi (640)(640)(640)}{3}

\implies \text{Volume of sphere} = \dfrac{4(3.14)(640)(640)(640)}{3}

Simplify the numerator;

\implies \text{Volume of sphere} = \dfrac{4(3.14)(640)(640)(640)}{3}

\implies \text{Volume of sphere} = \dfrac{3292528640}{3}

Divide the numerator by 3;

\implies \text{Volume of sphere} = \dfrac{3292528640}{3}

\implies \text{Volume of sphere} = \boxed{1097509546.67 \ \text{m}^{3} } \ \ \ (\text{Estimated})

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