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Fynjy0 [20]
2 years ago
10

What is the slope of the line perpendicular to the given line? 5x - 2y = 14

Mathematics
1 answer:
motikmotik2 years ago
3 0

Answer:

-\frac{2}{5}.

Step-by-step explanation:

1) if to re-write the given equation into slope-interception form, then:

y=\frac{5}{2}x-7;

the slope of the given line is 5/2;

2) according to the rule of perpendicular, the required slope should be:

s*(5/2)=-1;

3) if to solve this equation (s*5/2=-1), then s=-2/5 or -0.4.

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The graph shows the solution for which inequalities?
Helen [10]

Answer:

Inequalities are,

y ≥ 4x + 2

y ≥ 2

Step-by-step explanation:

Solid yellow line of the graph attached passes through two points (0, -2) and (1, 2).

Let the equation of this line is,

y = mx + b

Slope of the line = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}

                      m = \frac{2+2}{1-0}

                      m = 4

Y-intercept 'b' = -2

Equation of the line will be,

y = 4x - 2

Since shaded area is on the left side of this solid line so the inequality representing this region will be,

y ≥ 4x - 2

Another line is a solid blue line parallel to the x-axis.

Shaded region (blue) above the line will be represented by,

y ≥ 2

Therefore, the common shaded area of these inequalities will be the solution of the given inequalities.

7 0
3 years ago
Now solve the equation 4(x+3)=8. Remember to: Build the equation on your Equation Mat with algebra tiles. Simplify the equation
Ymorist [56]

Answer:

x=-1

Step-by-step explanation:

4(x+3)=8

4x+12=8

4x=-4

x=-1

3 0
3 years ago
Use a net to find the surface area of the right triangular prism shown below: Three rectangles next to each other with a width o
kifflom [539]

Area tells us the size of a shape or figure. It tells us the size of squares, rectangles, circles, triangles, other polygons, or any enclosed figure.

In the real world it tells us the size of pieces of paper, computer screens, rooms in houses, baseball fields, towns, cities, countries, and so on. Knowing the area can be very important. Think of getting a new carpet fitted in a room in your home. Knowing the area of the room will help make sure that the carpet you buy is big enough without having too much left over.

Calculating Area

Area is measured in squares (or square units).

How many squares are in this rectangle?

example of rectangle with area of 15 square units

We can count the squares or we can take the length and width and use multiplication. The rectangle above has an area of 15 square units.

7 0
4 years ago
What is the answer to this question?
Fudgin [204]

Firstly, multiply both sides by S: XS=9.4K

Next, divide both sides by X, and <u>your answer will be S=\frac{9.4K}{X}</u>

8 0
3 years ago
Given ABCD, what is the measure of
Gennadij [26K]

Answer:

srry dude this isn't rly a quesiton

3 0
3 years ago
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