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katovenus [111]
4 years ago
14

Plz help on homework

Mathematics
1 answer:
8_murik_8 [283]4 years ago
4 0

Answer:

see attached

Step-by-step explanation:

As you know, dividing by a fraction is the same as multiplying by that fraction's inverse (or reciprocal). Any whole number is equivalent to the fraction that is that whole number divided by 1. (For example, 4 = 4/1.)

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6x-21>3 and 14x+11>-17
Delicious77 [7]
6x-21>3
Add 21 to both sides
6x>24
Divide 6 on both sides
X>4

14x+11>-17
Subtract 11 from both sides
14x>-28
Divide 14 on both sides
X<-2
8 0
3 years ago
Find the volume of the tetrahedron with the given vertices. (2, 0, 0), (0, 4, 0), (0, 0, 4), (2, 4, 4)
Katarina [22]

Answer:

The volume of the tetrahedron is

\frac{-32}{3}

Step-by-step explanation:

To find the volume of a tetrahedron with vertices (2, 0, 0), (0, 4, 0), (0, 0, 4), (2, 4, 4).

We know by definition that the volume of a tetrahedron with vertices (x_{1}, y_{1}, z_{1}), (x_{2}, y_{2}, z_{2}), (x_{3}, y_{3}, z_{3}) is

\frac{1}{6}\begin{vmatrix}2 & 0 & 0 & 1\\0 & 4 & 0 & 1\\0 & 0 & 4 & 1\\2 & 4 & 4 & 1\end{vmatrix}

From here we have:

\frac{1}{6}\begin{vmatrix}x_1 & y_1 & z_1 & 1\\x_2 & y_2 & y_2 & 1\\x_3 & y_3 & z_3 & 1\\x_4 & y_4 & y_4 & 1\end{vmatrix}

Finding the determinant of that matrix we have:

\frac{1}{6} (-64) = \frac{-32}{3}

7 0
3 years ago
Given the equation y=2x+3 and the points (-2,7), (1,1), (3,-3) show the slope is the same between these points? Show your work
miskamm [114]

Answer:

No

Step-by-step explanation:

The slope of the equation is y = 2x + 3 is 2.

Find the slope of the points.

m = y₂ - y₁ / x₂ - x₁

m = 1 - 7 / 1 - (-2)

m = -6 / 3

m = -2

The same slope will happen if you also calculate for the third point.

As you can see. The slopes are not the same for one is rising (positive) while the other is fall (negative).

8 0
4 years ago
What can i multiple to get 44.89
kobusy [5.1K]

Answer:

6.7 times 6.7

Step-by-step explanation:

5 0
4 years ago
Which description best compares the graph of y-3=-2(×+4)andy=-2×_5
rjkz [21]
Rewrite the first function so that the two functions are in standard form:

y - 3 = -2x - 8  => y = 3 - 2x - 8  =>  y = -2x - 5

and

y= -2x - 5

We can now see immediately that these two functions have the same slope (-2) and same y-intercept (providing that you meant "y = -2x - 5).

The graphs of these 2 functions are identical.

4 0
3 years ago
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