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2 years ago

What is the volume of a cube 1 1/2 inches wide 2 1/2 inches long and 4 inches high?

Mathematics

2 answers:

mel-nik [20]2 years ago

6 0

Answer:

231

Step-by-step explanation:

first of all it must be a cuboid bcoz a cube's edge is same i.e length =breadth= height.

now volume of cuboid =lbh

11/2×21/2×4

=231

ans....

Brrunno [24]2 years ago

5 0

Answer:

15 inches

Step-by-step explanation:

V = lwh

V = $\frac{3}{2}$ · $\frac{5}{2}$ · $\frac{4}{1}$ = $\frac{60}{4}$ = 15

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Write an equation of the line containing the point (6,-4) and perpendicular to.the line y=-2x-3

igor_vitrenko [27]

Answer:

$y=\frac{1}{2}x-7$

Step-by-step explanation:

So we need to find an equation of a line that crosses the point (6,-4) and is perpendicular to y = -2x -3.

First, let's find the slope of the line we want to write. The line we want is perpendicular to y = -2x -3. Recall that if two lines are perpendicular to each other, their slopes are negative reciprocals of each other. What this means is that:

$m_1\cdot m_2=-1$

Plug -2 for one of the slopes.

$-2\cdot m_2=-1$

Divide by -2 to find the slope of our line.

$m_2=1/2$

Thus, our line needs to have a slope of 1/2.

Now, let's use the point-slope form. The point-slope form is given by:

$y-y_1=m(x-x_1)\\$

Plug in 1/2 for the slope m and let's let our point (6,-4) be x₁ and y₁. Thus:

$y-(-4)=\frac{1}{2}(x-6)\\$

Simplify and distribute:

$y+4=\frac{1}{2} x-3$

Subtract 4 from both sides:

$y=\frac{1}{2}x-7$

The above is the equation that passes the point (6,-4) and is perpendicular to y = -2x -3.

5 0

3 years ago

Translate into a equation. one subtracted from two times a number is -45.

sleet_krkn [62]

Answer:

2x - 1 = -45.

Step-by-step explanation:

2x - 1 = -45 is the required equation.

x is the number.

3 0

3 years ago

Given the following roots build a polynomial function in standard form: -3 and +2

swat32

Answer:

f(x) = x² +x -6

Step-by-step explanation:

The standard form will look like ...

f(x) = x² +bx +c

where b is the opposite of the sum of the roots, and c is their product.

f(x) = x² -(-3+2)x +(-3)(2)

f(x) = x² +x -6

_____

<em>Additional comment</em>

In general, "standard form" is ax²+bx+c. In this case, the coefficient 'a' can be 1 since neither of the roots is expressed as a fraction. The sum of roots is (-b/a) and the product of roots is (c/a).

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2 years ago

PLSSS HELPPP DUE SOON ILL GIVE BRAINLESS

Kitty [74]

Answer:

Step-by-step explanation:

A, B, and C are not linear functions

D would be y=x/2

If you graphed y=x/2, you would get the points (4, 2), (7, 3.5), (8, 4), and (10, 5)

It's more obvious if you notice that y is half of x.

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2 years ago

Pam kept track of the puppies available for adoption at the shelter. After 4 hours, there were 7 puppies available for adoption.

Varvara68 [4.7K]

A. 3 hours is the answer

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3 years ago

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