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3 years ago

Which graph represents the solution set of this inequality?

Mathematics

1 answer:

Temka [501]3 years ago

7 0

Answer:

to graph an inequality you need a variable. please rewrite your question.

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A rectangular prism has a volume 144 centimeters. The base is a square with a length of 4 cm. What is the height of the prism?

Vitek1552 [10]

The volume is the product of the height and the area of the base.
V = Bh
The area of the square base is (4 cm)² = 16 cm², so the height can be found from
144 cm³ = (16 cm²)h
h = (144 cm³)/(16 cm² = 9 cm

The height of the prism is 9 cm.

6 0

3 years ago

A dilation with a scale factor of 15 and centered at the origin is applied to MN¯¯¯¯¯¯¯ with endpoints M(−2, −4) and N(1, 5) .

Nutka1998 [239]

coordinates m' is going to be (-2/5,-4/5)

coordinates n' is going to be (1/5,1)

I just took the test i hope this helps!

5 0

3 years ago

Read 2 more answers

PLEASE HELP QUESTION IN PICTURE

sp2606 [1]

Answer:

b = 55

d = 55

Step-by-step explanation:

Part B:

1. We can see that m∠C (25 degrees), the angle with 100 degrees, and ∠B are adjacent angles that add up to 180 degrees.

This means that b + 25 + 100 = 180

2. (Solving equation above)

Step 1: Simplify both sides of the equation.

$b + (25+100)=180$
$b + 125 = 180$

Step 2: Subtract 125 from both sides.

$b + 125 - 125 = 180 - 125$
$b = 55$

Therefore, b = 55.

Part D:

1. The exterior angle theorem states that the exterior angle of a triangle is congruent to the sum of the two opposing interior angles.

This means that 110 = d + 55

2. (Solving)

Step 1: Subtract 55 from both sides.

$110-55 = d + 55-55$
$55 = d$

Therefore, d = 55.

5 0

2 years ago

9.1(6)+8.7(7)=_+60.9 How do I solve this?

timurjin [86]

Answer:

The answer is 54.6.

9.1(6)+8.7(7)=54.6+60.9

Step-by-step explanation:

Given:

9.1(6)+8.7(7)=_+60.9

Now, to solve it:

9.1(6)+8.7(7)=_+60.9

Let the _be x.

So, we remove parenthesis first that makes it multiply with the number next to it:

$9.1\times 6+8.7\times 7=x+60.9$

$54.6+60.9=x+60.9$

Now adding on L.H.S:

$115.5=x+60.9$

Subtracting on both sides by 60.9 we get:

$54.6=x$

$x=54.6$

Therefore, the answer is 54.6.

7 0

3 years ago

If the units for x are years, and x = 5 represents the year 2015, what is the y-value for 2010?

Darya [45]

Given:

The given graph passes through the points (-3,4) and (3,2)

The x - axis represents the years. The value x = 5, year 2015.

We need to determine the y - value for 2010.

Slope:

The slope of the line can be determined using the formula,

$m=\frac{y_2-y_1}{x_2-x_1}$

Substituting the points (-3,2) and (3,2), we get;

$m=\frac{2-4}{3+3}$

$m=\frac{-1}{3}$

Thus, the slope of the line is $m=\frac{-1}{3}$

y - intercept:

The y - intercept in the graph is the point in the line that crosses the y - axis.

Thus, from the graph, it is obvious that the y - intercept is b = 3.

Equation of the line:

The equation of the line can be determined using the formula,

$y=mx+b$

Substituting the values, we have;

$y=-\frac{1}{3}x+3$

Thus, the equation of the line is $y=-\frac{1}{3}x+3$

The y - value for 2010:

Since, it is given that x = 5 represents 2015 and 2010 is 5 years before 2010.

Hence, the value of x for 2010 is given by

$x=5-5=0$

Thus, x = 0 represents the year 2010.

To determine the y - value, let us substitute x = 0 in the equation $y=-\frac{1}{3}x+3$ , we have;

$y=-\frac{1}{3}(0)+3$

$y=3$

Thus, for 2010 the value of y is 3.

5 0

3 years ago