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Luda [366]
4 years ago
13

Select the number line that correctly shows the calculation for |−5|. PLEASE HELP ME

Mathematics
1 answer:
dybincka [34]4 years ago
4 0

Answer: the first one.

Step-by-step explanation:

because distance on a number line will always be positive. :D

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iVinArrow [24]
Is this Long multiplication?
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How would I graph this inequality?<br> <img src="https://tex.z-dn.net/?f=7x%2B3y%5C%20%20%5Ctextless%20%5C%206-5x" id="TexFormul
Anon25 [30]

Answer:

the graph in the attached figure

Step-by-step explanation:

we have

7x+3y

isolate the variable y

Subtract 7x both sides

3y

3y

Divide by 3 both sides

y

The solution of the inequality is the shaded area below the dashed line

The equation of the shaded line is y=-4x+2

The slope of the dashed line is negative m=-4

The y-intercept of the dashed line is the point (0,2)

The x-intercept of the dashed line is the point (0.5,0)

To graph the inequality plot the intercepts and shade the area below the dashed line

using a graphing tool

the graph in the attached figure

3 0
3 years ago
The figure is made up of a square and a rectangle. Find the area of the shaded region.
Viefleur [7K]

Answer:

40 square metres

Step-by-step explanation:

The shaded region is of a triangle, whose area is denoted by: A = (1/2) * b * h, where b is the base and h is the height.

Since the left figure is a square with side lengths 10, we know that the height of the triangle is also 10 metres. The right figure is a rectangle with length 4. Since the total base length of the entire figure is 18 and the base of the square is 10, then the width of the rectangle is 18 - 10 = 8 metres.

This width is also the base of the triangle, so b = 8.

Now plug these values into the equation:

A = (1/2) * b * h

A = (1/2) * 8 * 10 = (1/2) * 80 = 40

The area is 40 square metres.

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2 less then 3 times a number is 9
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\huge\boxed{\text{As an expression:}\ 3x-2=9}

\huge\boxed{\text{Solved for x:}\ x=\frac{11}{3}}

Let's start with "3 times a number". We will use x to represent the number. 3x

"2 less than" is next. -2

Finally, "is 9". =9

Put it all together to get an expression. \boxed{3x-2=9}

Now, let's solve for the unknown number.

Add 2 on both sides of the equation. 3x=11

Divide both sides of the equation by 3 to isolate x. x=\boxed{\frac{11}{3}}

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