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-Dominant- [34]
3 years ago
10

What is the slope of a line that is perpendicular to the line y = x + 5? –2 -1/2 1/2 2

Mathematics
1 answer:
Sliva [168]3 years ago
7 0

y = x + 5


If it's perpendicular the slope is the opposite inverse of the other line,


The slope of line y = x + 5 is 1, because it's the number before x, so, the opposite inverse would be -1/1 = -1.

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Review the expression below -2(a+b-5)+3(-5a+2b)+b(6a+b-8)
Oduvanchick [21]

Answer:

6ab + b^2 - 17a - 4b + 10

Step-by-step explanation:

-2(a+b-5)+3(-5a+2b)+b(6a+b-8)

Now we break the parenthesis. To break that, we multiply each of the value inside the parenthesis by the adjacent number. That is, for the first part of the expression, we multiply by -2, then by 3, and then by b.

Algebraic Operations need to be considered:

[ (-) x (-) = (+); (-) x (+) = (-)]

= [-(2*a) + (-2*b) - (-2*5)] + [3*(-5a) + (3*2b)] + [(b*6a) + (b*b) - (b*8)]

= -2a - 2b +10 -15a + 6b + 6ab + b^2 - 8b

Now, we will make the adjustment by the similarity value.

= - 2a - 15a - 2b + 6b - 8b + 6ab + b^2 + 10

= - 17a - 4b + 6ab + b^2 + 10

= 6ab + b^2 - 17a - 4b + 10

Therefore, the answer of the expression is = 6ab + b^2 - 17a - 4b + 10

6 0
3 years ago
PLEASE HELP ME WITH MY GEOMETRY WORK!!! I DONT UNDERSTAND IT AND I DONT KNOW WHY!!!?
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3 years ago
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Sam is building a model of an antique car. The scale of his model to the actual car is 1:10. His model is 12
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Answer:

125 inches

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An engineer is designing a storage compartment in a spacecraft .The compartment must be 2 meters longer than it is wide, and its
serg [7]

Answer:

Let x be the width of the compartment,

Then according to the question,

The length of the compartment = x + 2

And the depth of the compartment = x -1

Thus, the volume of the compartment,  V = (x+2)x(x-1) = x^3 + x^2 - 2x

But, the volume of the compartment must be 8 cubic meters.

⇒ x^3 + x^2 - 2x = 8

⇒ x^3 + x^2 - 2x - 8=0

⇒ (x-2)(x^2+3x+4)=0

If x-2=0\implies x = 2 and if  x^2+3x+4=0\implies x = \text{complex number}

But, width can not be the complex number.

Therefore, width of the compartment = 2 meter.

Length of the compartment = 2 + 2 = 4 meter.

And, Depth of the compartment = 2 - 1 = 1 meter.

Since, the function that shows the volume of the compartment is,

V(x) = x^3 + x^2 - 2x

When we lot the graph of that function we found,

V(x) is maximum for infinite.

But width can not infinite,

Therefore, the maximum value of V(x) will be 8.




8 0
3 years ago
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The following table shows the values of y for different values of x:
solmaris [256]

Answer:

Option B. It represents a nonlinear function because its points are not on a straight line.

Step-by-step explanation:

Let

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we know that

If point A,B and C are on a straight line

then

The slope of AB must be equal to the slope of AC

The formula to calculate the slope between two points is equal to

m=\frac{y2-y1}{x2-x1}

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A(0,0),B(1,1)

substitute in the formula

m_A_B=\frac{1-0}{1-0}=1

<em>Find the slope AC</em>

A(0,0),C(2,4)

substitute in the formula

m_A_C=\frac{4-0}{2-0}=2

so

m_A_B\neq m_A_C

Points A, B and C are not on a straight line

therefore

It represents a nonlinear function because its points are not on a straight line

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2 years ago
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