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1 year ago

Relate the volume of the cubes to length of each edge V = 8 cm3

Mathematics

1 answer:

sergiy2304 [10]1 year ago

4 0

Answer:

2cm, 2cm and 2cm

Step-by-step explanation:

$\sqrt[3]{8} = 2$

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For which values of k does the system of linear equations have zero, one, or an infinite number of solutions? [Note: not all thr

viktelen [127]

Answer:

The system has an infinite solution at k = 6, otherwise for any value of k, it has zero solution.

Step-by-step explanation:

Consider the system of linear equations:

$3x_{1} -x_{2}=2\;\;\;\;\;\;(1)\\ 9x_{1} -3x_{2}=k\;\;\;\;\;(2)$

The system of linear equations can have zero, one, or an infinite number of solutions:

simplify equation (1):

$x_{2}=3x_{1} -2$

substitute in equation (2), we get

$9x_{1} -3(3x_{1}-2)=k\\9x_{1} -9x_{1}+6=k\\0+6=k$

we cannot find the value of $x_{1}$ and $x_{2}$ .

so, there is no solution.

Multiply the equation (1) with 3 and put k is 6,

$3(3x_{1} -x_{2})=3\times2\\9x_{1} -3x_{2})=6$

it means both equations are overlapped. Then, the solution has infinite solutions.

Hence, the system has an infinite solutions at k is 6 otherwise for any value of k it has no solution.

4 0

2 years ago

What is the volume of the pyramid? 10 in 120 in 320 in 480 in 960 in.

QveST [7]

Answer:

320

Step-by-step explanation:

THe formula is (lwh )*3

l is length

w is width

h is height

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3 years ago

A quadrilateral-shaped land property is drawn on a coordinate grid. Two adjacent sides of the property lie along the lines y = 4

Liono4ka [1.6K]

Answer:

P(-4,-8)

Step-by-step explanation:

Given two lines:

$y = 4x + 8;$ and $ \\y = -0.25x - 9$

To determine the point of intersection P of the lines, we equate the two lines and solve for (x,y).

$4x + 8= -0.25x - 9\\4x+0.25x=-9-8\\4.25x=-17\\$Divide both sides by 4.25$\\x=-4\\$Recall:$\\y = 4x + 8\\=4(-4)+8\\=-16+8\\=-8$

Therefore, the intersection point P of the lines is: P(-4,-8)

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3 years ago

It is 90 ft from home plate to first base on a baseball diamond. How long will it take a batter to reach first base if the batte

vitfil [10]

Answer:

It would take the batter 6 seconds to reach 1st base

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3 years ago

What is the value of x ? x/6 = 7/3

olga55 [171]

X=14!!!!!!!!!!!!!!!!!!!

4 0

2 years ago