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2 years ago

Please help no one is answering my questions!

Mathematics

1 answer:

LUCKY_DIMON [66]2 years ago

5 0

Answer: x - 4

The missing dimension of the prism is A

because the volume of the rectangular prism equals the product of the sides, we have:

V = (x - 1)(x - 3)A

but V = x³ - 8x² + 19x - 12

=> x³ - 8x² + 19x - 12 = (x - 1 )(x - 3)A

⇔ x²(x - 1) - 7x(x - 1) + 12(x - 1) = (x - 1)(x - 3)A

⇔ (x² - 7x + 12)(x - 1) = (x - 1)(x - 3)A

⇔ (x² - 3x - 4x + 12)(x - 1) = (x - 1)(x - 3)A

⇔ (x - 3)(x - 4)(x - 1) = (x - 1)(x - 3)A

⇒ A = x - 4

Step-by-step explanation:

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2x ^2 −5=3x

expeople1 [14]

Answer:a

Step-by-step explanation:

3 0

3 years ago

A tree casts a shadow that is 231 cm long. Janet is 170 cm tall and she casts a shadow that is 102 cm long. How tall is the tree

Mekhanik [1.2K]

Answer:

139 cm

Step-by-step explanation:

7 0

3 years ago

Write an equation of the line that passes through (−1,3) and is parallel to the line y=2x+2.

MA_775_DIABLO [31]

The equation of the line that passes through (−1,3) and is parallel to the line y = 2x + 2 in slope intercept form is y = 2x + 5

<h3><u>Solution</u>:</h3>

Given that line passes through (-1, 3) and parallel to line y = 2x + 2

We have to find the equation of the line

Let us first find the slope of the line

<em><u>The slope intercept form of line is given as:</u></em>

y = mx + c ---- eqn 1

where "m" is the slope of the line and "c" is the y-intercept

Comparing the given line equation y = 2x + 2 with y = mx + c,

We get slope "m" = 2

The slope of parallel lines are equal

Hence slope of the line which is parallel to y = 2x + 2 is also 2

Now let us find the equation of line with slope "m" = 2 and passes through point (-1, 3)

Substitute (x, y) = (-1, 3) in eqn 1 to find value of "c"

3 = 2(-1) + c

3 = -2 + c

c = 5

Now substitute "c" = 5 and m = 2 in eqn 1 to get equation of required line

y = 2x + 5

Thus the equation of line in slope intercept form is y = 2x + 5

4 0

3 years ago

X²-x-42

oee [108]

Answer:

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Step-by-step explanation:

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2 years ago

What is the constant variation of “k”

andre [41]

Answer: D. 8/5

Step-by-step explanation:

This is a proportional relationship which means that y/x= k .The y value divided by the x value will give you k which is the slope or in other words the constant variable.

So just divide the y value by the x value to find the k.

(5,8)

The y value is 8

The x value is 5

8/5 = k

k = 8/5

4 0

3 years ago