Dejah is proving that perpendicular lines have slopes that are opposite reciprocals. She draws line s and labels two points on the line as (−a, 0) and (0, b).

Enter the answers, in simplest form, in the boxes to complete the proof.

Answer:

(-♾️,-2]U(-2,♾️)

Step-by-step explanation:

The piece on the left goes to -2 and the piece on the right goes to -2 but does NOT equal it

The required answers for the given questions is question are 1) x = -4,  2)  x = 6 - √15,   3) x = 3 + 3√3,   4) x = -3,  and  5)x = -9 - √21  / 5

The quadratic Equation formula is x = -b ± √(b² - 4ac) / 2a

1. x² + 7x + 12 = 0

By using the above formula

Here a = 1, b = 7, c = 12

x = -7 ± √(7² - 4*1*12) / 2*1

x = -7 ± √(49 - 48) / 2

x = -7 ± √1 / 2

x = -7 ±1 /2

x = -7+1 /2           x = -7 - 1 / 2

x = - 6 / 2            x = -8 / 2

x = -3                   x = -4

2) x²-12x+21=0

By using the above formula

Here a = 1,  b = -12, c = 21

x = -(-12) ± √((-12)² - 4*1*21) / 2*1

x = 12 ± √(144 - 84) / 2

x = 12 ± √60 / 2

x = 12 ±2√15  /2

x = 12 + 2√15 /2           x = 12 - 2√15  / 2

x = 6 + √15          x = 6 - √15

3. 18+6y-y²=0

By using the above formula

Here a = -1, b = 6, c = 18

x = -6 ± √((6² - 4*(-1)*18) / 2*(-1)

x = -6 ± √(36 + 72) / -2

x = -6 ± √108 / -2

x = -6 ± 6√3 / -2

x = -6+6√3 /-2           x = -6 - 6√3 / -2

x = 3-3√3            x = 3 + 3√3

4. 3x²+14×+15=0

By using the above formula

Here a = 3, b = 14, c = 15

x = -14 ± √((14² - 4*(3)*15) / 2*(3)

x = -14 ± √(196 - 180) / 6

x = -14 ± √16 / 6

x = -14 ± 4 / 6

x = -14 + 4 /6           x = -14 - 4  / 6

x = -10 / 6                x = -18 / 6

x = -5/3                   x = -3

5.5x²-18x+12=0 ​

By using the above formula

Here a = 5, b = -18, c = 12

x = -18 ± √((18² - 4*(5)*12) / 2*(5)

x = -18 ± √(324 - 240) / 10

x = -18 ± √84 / 10

x = -18 ± 2√21 / 10

x = -18 + 2√21 /10           x = -18 - 2√21  / 10

x = -9 + √21 / 5                x = -9 - √21  / 5

Hence, the values of the given question are 1) x = -4,  2)  x = 6 - √15,   3) x = 3 + 3√3,   4) x = -3,  and  5)x = -9 - √21  / 5

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The set of non negative powers of 10 is given as

  (x | x = 10ⁿ , n = 0,1,2,3....)

Powers of 10 is any integer powers of the number 10. In simple words 10 multiplied by itself several times.

We need to define a set of nonnegative powers of 10 using the given set builder notation .

Powers of 10 is expressed as = 10ⁿ where n = 0,1,2,....

Thus in set builder form we can write

(x | x = 10ⁿ , n = 0,1,2,3....) which states that x is such that (which is denoted as '|' ) x is equal to 10ⁿ where n is equal to 0,1,2,....

Hence the set of non negative powers of 10 is given as

  (x | x = 10ⁿ , n = 0,1,2,3....)

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Answer:

6

Step-by-step explanation:

Since she gave herself 3 pieces of gum, she gave 12 pieces to her friends. She gave 2 pieces to each friends. 12 pieces of gum divided by the 2 pieces given to each friend is 6

Answer:

∠EFA

Step-by-step explanation:

The diagram shows several rays starting at point F. There are 2 sets of rays that are opposite to each other ie their angles add up to 180°

These are
FD and FA
FB and FE

You can ignore the other two rays since they do not have any opposite rays and therefore do not figure in a linear relationship

Ignoring FG and FC we get the equivalent of two lines crossing each other at point F

We can eliminate any angles that contain C and G
So we can eliminate ∠BFC, ∠CFG and ∠GFD

Which leaves the last choice as the only option

So answer is ∠EFA

∠EFA is linearly paired with ∠BFD since they lie on the same straight line and the measure of sum of their angles is 180°

∠EFA also is vertically paired with ∠BFD since these angles are opposite each other

Answer:

false the answer is 1 1/9

Answer:

-7/27

Step-by-step explanation:

-14/54

Hope this helped :)

Answer:

x > 3

Step-by-step explanation:

180x > 540

x > 540/180

x > 3

The complete statement is that 6+x is an example of an expression

Expressions are mathematical statements that are represented by variables, coefficients and operators

The parameter is given as

6 + x

The above parameter has the following properties:

Recall that expressions are mathematical statements that are represented by variables, coefficients and operators

Hence, the complete statement is that 6+x is an example of an expression

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Answer:

The vertical line test can be used to determine whether a graph represents a function. If we can draw any vertical line that intersects a graph more than once, then the graph does not define a function because a function has only one output value for each input value.

Step-by-step explanation:

The vertical line test can be used to determine whether a graph represents a function. If we can draw any vertical line that intersects a graph more than once, then the graph does not define a function because a function has only one output value for each input value.

I attached an Image you can visualize it clearly

P.S I ain't that good at drawing though :P

Answer:

it is an answer if you are using a coordinate plane

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

If each lawn he mows earns him $25, at one lawn mowed he would have $25. At two lawns mowed he would have $50. At three lawns mowed he would have $75. We graph these points to get the graph of answer A.

Answer:

c. 31 million square inches

Step-by-step explanation:

Hope this helped have an amazing day!

Answer:

The additional money that Ed Moura should invest in certificates of deposit paying 4% so that the average return on the two investments is 5% is 219,000.

Step-by-step explanation:

It is given that Ed Moura has $73,000 invested in stocks earning an average return of 8%, and that he should put the remaining funds in certificates of deposit paying an average return of 4%, the average return on the two investments is 5%, than;

=> 0.08 (73,000) + 0.04b = 0.05 (b + 73,000)

=> 5840 + 0.04b = 0.05b + 3650

=> 0.01b = 2190

=> b = 219,000

=> $219,000

Therefore, the additional money that Ed Moura should invest in certificates of deposit paying 4% so that the average return on the two investments is 5% is $219,000.

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Answer:

0.4

Step-by-step explanation:

8/20 = 0.4

a is the only like term in the expression.

Answer:

D= Independent variable

Step-by-step explanation:

Answer:

y=0.3x - 7.6

Step-by-step explanation:

line: y=ax+b

a= Δy ÷ Δx

a= (-9 + 7) ÷ (-5 - 2)

a= -2 ÷ -7 = approximately 0.3

y=0.3x + b

Now you can fill in one of the points to find b (or both to make sure you got the answer right).

0.3 × 2 + b = -7

0.6 + b = -7

b = -7 - 0.6 = approximately -7.6

So: an equation of the line that passes through this pair of points is y=0.3x - 7.6

On a test, i would write as many decimals as possible if not said not to, to get the most exact answer. Also remember to keep calculating with the number on your calculator and not to round them off for the most exact answer.

around 44 or above

88+85+84+84+44= 385

385/5= 77

log (x-1)/(x+1) = log 10^3 ; [tex]\frac{x-1}{x+1}[/tex] = 1000; x-1 = (x+1)*1000 ; x-1 = 1000x + 1000 ; 999x = -1001 ; x = -1001/999 ; x ≈ -1

Answer:

67.8 is the mean

81 is the median.

There is no mode in this set.

Step-by-step explanation:

Mean is the average.

Median is the middle number.

Mode is the number that appears the most.

I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!

Answer:

y=6x-8

Step-by-step explanation:

10-4/3-2

m=6/1

y=mx+b

y=6x+b

4=6(2)+b

4=12+b

-8=b

y=6x-8

41 dollarsStep-by-step explanation:

Answer: $287.50

Step-by-step explanation:

Find out how much each ticket costs: 57.50/3= 19.17

Multiply that by 15: 19.7x15=287.5