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3 years ago

The expression V = 2x3 + 6x2 can be used to find the volume of the trapezoidal prism below.

Mathematics

2 answers:

alekssr [168]3 years ago

8 0

Answer:

4320

Step-by-step explanation:

V = 2x^3 + 6x^2

x = 12

V = 2(12^3) + 6(12^2)

V = 2(1728) + 6(144)

V = 3456 + 864

V = 4320

ivolga24 [154]3 years ago

5 0

Answer:

4320 cm³

Step-by-step explanation:

Volume formula for prism:

V = Ah, where A- area of bas, h- height of base

Area of base:

A = 1/2(b1 + b2)h = 1/2(x + 2 + x + 4)x = 1/2(2x + 6)x = x(x+3)

Volume of prism is:

V = 2x*x(x + 3) = 2x³ + 6x²

If x = 12, then the value of V is:

V = 2*12³ + 6*12² = 4320 cm³

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CAN SOMEONE PLEASE WRITE A EQUATION OF THIS LINE!!

serious [3.7K]

Answer (assuming it can be in slope-intercept form):

y = -x - 1

Step-by-step explanation:

When knowing the slope of a line and its y-intercept, you can write an equation to represent it in slope-intercept form, or y = mx + b format. Substitute the m and b for real values.

1) First, find the slope of the equation, or m. Pick any two points from the line and substitute their x and y values into the slope formula, $m = \frac{y_2-y_1}{x_2-x_1}$ . I chose the points (0, -1) and (-1, 0):

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

Thus, the slope is -1.

2) Now, find the y-intercept, or b. The y-intercept of a line is the point at which the line crosses the y-axis. By reading the graph, we can see that the line intersects the y-axis at the point (0,-1), therefore that must be the y-intercept.

3) Now, substitute the found values into the y = mx + b formula. Substitute -1 for m and -1 for b:

$y = -x -1$

5 0

3 years ago

Read 2 more answers

An engineer is planning a new water pipe installation. The circular pipe has a diameter of d=20\text{ cm}d=20 cmd, equals, 20, s

aivan3 [116]

Answer: The answer is 314.28 cm² (approx.).

Step-by-step explanation: Given that an engineer is going to install a new water pipe. The diameter of this circular pipe is, d = 20 cm.

We need to find the area 'A' of the circular cross-section of the pipe.

Given, diameter of the circular section is

$\textup{d}=20~\textup{cm}.$

So, the radius of the circular cross-section will be

$\textup{r}=\dfrac{\textup{d}}{2}=\dfrac{20}{2}=10~\textup{cm}.$

Therefore, cross-sectional area of the pipe is

$\textup{A}=\pi \textup{r}^2=\dfrac{22}{7}(10)^2=\dfrac{2200}{7}=314\dfrac{2}{7}=314.28~.~.~.~\textup{cm}^2.$

Thus, the answer is 314.28 cm² (approx.).

4 0

3 years ago

1. 63 is 90% of what number? 70 with double number lines-Super confused, please help!!

olganol [36]

Answer:

70.

Step-by-step explanation:

Let x be the required number.

We are asked to find the number whose 90% equals to 63.

We can represent our given information in an equation as:

Now, we need to solve for x.

Therefore, 90% of 70 is 63.

8 0

2 years ago

Which of the following is the Pythagorean theorem

noname [10]

Answer:

$a^2+b^2=c^2$

Step-by-step explanation:

The Pythagorean Theorem is used to find a missing side length in a right triangle, and the formula $a^2+b^2=c^2$ is used to find the missing side, assuming a and b are legs, while c is the hypotenuse.

4 0

4 years ago

I need some help with this one question

monitta

Yo sup??

Number of goldfish=3

Number of turtles=1

Total number of pets=4

Fraction of goldfish=3/4

Therefore the correct answer is option 4

Hope this helps

4 0

3 years ago