Where is the solution located on a graph a system of equations?

1 answer:

5 0

For a system of two variables and two equations, each equation will be a linear graph, and where the lines intersect is the solution as an ordered pair (x,y). If the lines don’t intersect (they’re parallel) so there is no unique solution.

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Rectangular prism is 5.9 millimeters wide and 20 millimeters high. Its surface area is 733.28 square millimeters. What is the le

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Answer:

The the length of the rectangular prism is 6.64 mm

Step-by-step explanation:

knowing the surface area of the rectangular prism is the sum up of all areas of the prisma we have

(20 * 5.9)*2 + (20*X)*2 + (5.9*X)*2 = 733.28

236 + 40X + 34.81X = 733.28

X = 6.64 mm

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The unit rate is 8 pounds per dog.

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3 years ago

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Find the slope of the line that passes through (2, 5) and (6,4).

ElenaW [278]

Answer:

The slope of the line is $\frac{1}{-4}$ .

Step-by-step explanation:

We use the formula change in y over change in x to find the slope:

$\frac{5-4}{2-6}$

Then we simplify:

$\frac{1}{-4}$

The slope of the line is $\frac{1}{-4}$ .

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2 years ago

Use an equation to find the value of k

Delvig [45]

$\boxed{k=4}$

<h2>Explanation:</h2>

We know that the slope of a line is given by:

$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}} \\ \\ Where: \\ \\ (x_{1},y_{1}) \ and \ (x_{2},y_{2}) \ are \ points \ that \ lie \ on \ the \ line \\ \\ \\ Here: \\ \\ (x_{1},y_{1})=(-2,k) \\ \\ (x_{2},y_{2})=(2,0) \\ \\ m=-1 \\ \\ \\ -1=\frac{0-k}{2-(-2)} \\ \\ -1=\frac{-k}{4} \\ \\ -k=4(-1) \\ \\ \boxed{k=4}$