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Aleksandr [31]
3 years ago
14

What is the slope of a line perpendicular to the with equation y=6x+2? A.6 B.-6 C.-1/6 D.2

Mathematics
2 answers:
zhuklara [117]3 years ago
8 0
The equation y = 6x + 2 is in the format which is called the slope-intercept form: y = mx + b where m = slope. Therefore the slope here is 6.
For the line perpendicular, the slope of it is a negative reciprocal from the original slope, that is m(perpendicular) = -1/m

Slope the line perpendicular is m(perpendicular) = -1/6. The answer is C.
Tju [1.3M]3 years ago
8 0
The correct answer is C. -1/6, because (-1/6)* (6)= -1.

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Complete the equation of the line through ( 4 , -8 ) and ( 8 , 5 )
irinina [24]

Answer:

Therefore the equation of the line through ( 4 , -8 ) and ( 8 , 5 ) is

13x - 4y = 84.

Step-by-step explanation:

Given:

Let,

point A( x₁ , y₁) ≡ ( 4 ,-8)

point B( x₂ , y₂) ≡ (8 , 5)

To Find:

Equation of Line AB =?

Solution:

Equation of a line passing through Two points A( x₁ , y₁) and B( x₂ , y₂)is given by the formula

(y - y_{1} )=(\frac{y_{2}-y_{1} }{x_{2}-x_{1} })\times(x-x_{1}) \\

Substituting the given values in a above equation we get

(y-(-8))=(\frac{5-(8)}{8-4})\times (x-4)\\ \\(y+8)=\frac{13}{4}(x-4)\\\\4(y+8)=13(x-4)\\4y+32=13x-52\\13x-4y=84...............\textrm{which is the required equation of the line AB}

Therefore the equation of the line through ( 4 , -8 ) and ( 8 , 5 ) is

13x - 4y = 84.

4 0
3 years ago
Please help me wit dis part #2!!!
kow [346]

A)     The relationship between the amount of hours spent studying and the test scores increase with time in a positive direction showing a positive correlation.

B)     Y=8x+40

Y=8(3) +40

Y=24+40

Y= 64

C)      The 40 stands for the initial score the student can get without any studying


6 0
3 years ago
PLEASE HELP!!!<br> Solve for X...<br> Cos30=x/8<br> Answer MUST be in radical form. NO DECIMALS.
Ivenika [448]

cos(30)=x/8

Rewrite the equation as

x/8=cos(30)

Multiply both sides of the equation by

8

.

8

⋅

x/8=8⋅cos(30)

Simplify both sides of the equation.

Tap for more steps...

x=4√3

The result can be shown in multiple forms.

Exact Form:

x=4√3

Decimal Form:

x=6.9282032

8 0
3 years ago
Lisa reads 5 1/4 chapters in 4 1/2 hours. What is the unit rate in chapters per hour?
Alinara [238K]
 the unit rate is 1.17 pages per hour
8 0
3 years ago
Read 2 more answers
Write the perimeter of each figure as a trinomial. <br> Must show your work.
noname [10]

Answer:

P = 2n + 8m - 1

Step-by-step explanation:

A <u>trinomial is an expression or equation that has three terms</u>. A term is when between the numbers or variables, the operations are neither subtraction nor addition, or when there is only one number.

If two terms have the <u>same variable</u>, called <u>like terms</u>, they can be combined by addition or subtraction.

The perimeter is the total length of all the sides.

The formula for the perimeter of a triangle is P = s_{1} + s_{2}  + s_{3} for each of the three sides.

Substitute each of the three sides.

P = s_{1} + s_{2}  + s_{3}

P = n + (2m + n)  + (6m - 1)

P = n + 2m + n  + 6m - 1 brackets can be removed

P = n + n + 2m + 6m - 1 rearrange equation according to like terms

P = 2n + 8m - 1 collected the like terms by addition

3 0
3 years ago
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