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Lunna [17]
3 years ago
15

In the cube shown below , which lines are intersecting ? select all that apply

Mathematics
1 answer:
aliya0001 [1]3 years ago
3 0

Answer:

Step-by-step explanation:

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Which is the correct calculation for the volume of the prism? A prism has a length of 6 units, height of 7 units, and width of 4
EastWind [94]

Answer:V=168\ units^3

Step-by-step explanation:

Given

Length of Prism l=6\ units

Height of prism h=7\ units

width of prism b=4\ units

Now Volume of a prism is given by

V=l\times b \times h

V=6\times 4\times 7

V=168\ units^3

6 0
3 years ago
The length of a rectangle is 5 ft less than three times the width, and the area of the rectangle is 28 ft^2. Find the dimensions
Cloud [144]

Answer:

7 x 4

Step-by-step explanation:

Let the width be x, length will be 3x-5. ATQ, x(3x-5)=28. x=4 and x=-7/3, since length isn't negative, x=4. Width=4 and length=7

3 0
3 years ago
Which pairs of quadrilaterals can be shown to be congruent using rigid motions?
Tju [1.3M]

Answer:

yes ur right

Step-by-step explanation:

5 0
3 years ago
The product of 2 and the sum of a numbet and 8 is equivalent to 16
Rudik [331]

2(x+8)=16

2x+16=16

2x=16-16

2x=0

x=0

6 0
3 years ago
Please solve this please​
ale4655 [162]

Answer:

C) \frac{2z+15}{6x-12y}

E) \frac{7d+5}{15d^2+14d+3}

F) \frac{-7a-b}{6b-4a}

Step-by-step explanation:

C)

One is given the following equation

\frac{z+1}{x-2y}-\frac{2z-3}{2x-4y}+\frac{z}{3x-6y}

In order to simplify fractions, one must convert the fractions to a common denominator. The common denominator is the least common multiple between the given denominators. Please note that the denominator is the number under the fraction bar of a fraction. In this case, the least common multiple of the denominators is (6x-12y). Multiply the numerator and denominator of each fraction by the respective value in order to convert the fraction's denominator to the least common multiple,

\frac{z+1}{x-2y}-\frac{2z-3}{2x-4y}+\frac{z}{3x-6y}

\frac{z+1}{x-2y}*\frac{6}{6}-\frac{2z-3}{2x-4y}*\frac{3}{3}+\frac{z}{3x-6y}*\frac{2}{2}

Simplify,

\frac{z+1}{x-2y}*\frac{6}{6}-\frac{2z-3}{2x-4y}*\frac{3}{3}+\frac{z}{3x-6y}*\frac{2}{2}

\frac{6z+6}{6x-12y}-\frac{6z-9}{6x-12y}+\frac{2z}{6x-12y}

\frac{(6z+6)-(6z-9)+(2z)}{6x-12y}

\frac{6z+6-6z+9+2z}{6x-12y}

\frac{2z+15}{6x-12y}

E)

In this case, one is given the problem that is as follows:

\frac{2}{3d+1}-\frac{1}{5d+3}

Use a similar strategy to solve this problem as used in part (c). Please note that in this case, the least common multiple of the two denominators is the product of the two denominators. In other words, the following value: ((3d+1)(5d+3))

\frac{2}{3d+1}-\frac{1}{5d+3}

\frac{2}{3d+1}*\frac{5d+3}{5d+3}-\frac{1}{5d+3}*\frac{3d+1}{3d+1}

Simplify,

\frac{2}{3d+1}*\frac{5d+3}{5d+3}-\frac{1}{5d+3}*\frac{3d+1}{3d+1}

\frac{2(5d+3)}{(3d+1)(5d+3)}-\frac{1(3d+1)}{(5d+3)(3d+1)}

\frac{10d+6}{(3d+1)(5d+3)}-\frac{3d+1}{(5d+3)(3d+1)}

\frac{(10d+6)-(3d+1)}{(3d+1)(5d+3)}

\frac{10d+6-3d-1}{(3d+1)(5d+3)}

\frac{7d+5}{(3d+1)(5d+3)}

\frac{7d+5}{15d^2+14d+3}

F)

The final problem one is given is the following:

\frac{3a}{2a-3b}-\frac{a+b}{6b-4a}

For this problem, one can use the same strategy to solve it as used in parts (c) and (e). The least common multiple of the two denominators is (6b-4a). Multiply the first fraction by a certain value to attain this denomaintor,

\frac{3a}{2a-3b}-\frac{a+b}{6b-4a}

\frac{3a}{2a-3b}*\frac{-2}{-2}-\frac{a+b}{6b-4a}

Simplify,

\frac{3a}{2a-3b}*\frac{-2}{-2}-\frac{a+b}{6b-4a}

\frac{-6a}{6b-4a}-\frac{a+b}{6b-4a}

\frac{(-6a)-(a+b)}{6b-4a}

\frac{-6a-a-b}{6b-4a}

\frac{-7a-b}{6b-4a}

4 0
3 years ago
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