Write an equation in slope intercept form for a line that goes through the point (-9,4) and is perpendicular to line Y=-3x-2

Answers

Answer 1

Answer:

Answer:

y = (1/3)x + 7

Step-by-step explanation:

The slope of a line perpendicular to the given line y = -3x - 2 would have to be the negative reciprocal of the slope of the given line:

or, in other words,

the negative reciprocal of -3. That would be +1/3.

Starting with the slope-intercept form of the equation of a straight line, we have:

y = mx + b.

We substitute the coordinates of the given point, (-9,4), and the slope +1/3:

4 = (1/3)(-9) + b.

This simplifies to

4 = -3 + b, from which it can be easily seen that b = 7.

The desired line is y = (1/3)x + 7.

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10-12(1-x)=8(-12+6x)-14Please I need this ASAP and I need to know how to do the steps so I get it better.Please and thanks!

Answers

Answer:

1. Simply the left hand side by first multiplying the -12 with the (1-x) to get -12+12x since negative×negative will give you positive. So after the simplification on the left hand side you will get the expression 10-12+12x. Which will give you -2+12x on the left hand side.

2. You do same on the right hand side of the expression 8(-12+6x) -14. So you multiply the 8 with the expression in the bracket ONLY (-12+6x) then afterwards,you add the -14 it to get -96+48x-14 =-110+48x .NOTE. ADDING TO NEGATIVE NUMBERS GIVES YOU A NEGATIVE ANSWER. so -96+(-14)=-110. So after simplification. You will also get the expression-110+48x on the right hand side .

3. Then combining the two sides of the equation, the whole expression becomes

-2+12x = -110+48x. Then you group like terms by sending all number attached with a variable to the right hand side and non attached variable numbers to the left , given you

-2+110 = 48x-12x . NB .WHEN A POSITIVE NUMBER CROSSES THE EQUAL SIGN IT CHANGES TO NEGATIVE AND VICE VERSA.

4. -2+110 = 108 and 48x -12x =36x

So the final expression becomes 108= 36x

Then you divide both side by 36 ,thus 108÷36=36x÷36

Given you x= 3 as your final answer of the expression, since 108÷ 36= 3. And 36x÷36= x

Question 3: Kimmy and Nicole played a math game at the carnival where they needed to evaluate the following expression: 12 + 36 ÷ (6² ÷ 3²) Kimmy's answer was 21 and Nicole's answer was 12. Who evaluated expression correctly? Then justify your reasoning?

Answers

Kimmy was correct! The order of operations, or PEMDAS, says parentheses are first! So in the parentheses you have to either use exponents or division, but exponents are right after parentheses. So then you have 36/9 which is 4! Then you have addition or division, and division comes first! so 36/4 is 9, then that 9 plus the 12 equals 21!

So far ,Monica has read 5/6 of a book.She has read the same number of pages each day for 5 days.What faction of the book does Monica read each day

Answers

you have to multiply 5/6 by 5 and you get 4 1/6

Answer:

thank you

Step-by-step explanation:

i was confused until you did the answer

Cot^2x csc^2x + 2 csc^2x –cot^2 = 2

Answers

Answer:

x = π/2 + πk

Step-by-step explanation:

cot² x csc² x + 2 csc² x − cot² x = 2

Multiply both sides by sin² x:

cot² x + 2 − cos² x = 2 sin² x

Add cos² x to both sides:

cot² x + 2 = 2 sin² x + cos² x

Pythagorean identity:

cot² x + 2 = sin² x + 1

Subtract 1 from both sides:

cot² x + 1 = sin² x

Pythagorean identity:

csc² x = sin² x

Multiply both sides by sin² x:

1 = sin⁴ x

Take the fourth root:

sin x = ±1

Solve for x:

x = π/2 + 2πk, 3π/2 + 2πk

Which simplifies to:

x = π/2 + πk

The measure of an angle is 10.3°. What is the measure of a supplementary angle?

Answers

If two angles are supplementary, then they will equal 180 degrees. So, what you do is subtract 10.3 from 180, which gives you 169.7 degrees. Therefore, the measure of the supplementary angle is 169.7 degrees.

Hope this helps.

20% of 50 is what number

PLEASE HELP

Answers

To find a percentage, multiply the number by the percentage as a decimal. 20% as a decimal is .2.
50 times .2 is 10
50×.2=x
50×.2 = 10
10=10

20% of 50 is 10!

To get 20% of a question you would have to be able to divide by 5 so 50/5=10. So the answer is 10. Hope this helped.

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