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slega [8]
3 years ago
13

Determine if the two lines y = 2x - 3/2 and y = -2x + 2/3 are parallel, perpendicular or neither. Explain

Mathematics
1 answer:
lorasvet [3.4K]3 years ago
4 0

Answer:

Neither

Step-by-step explanation:

For two lines to be parallel, they must have the same slope. 2 and -2 are not the same. For lines to be perpendicular, their slopes must be negative reciprocals (ex 5 and -1/5) The slopes of these lines are not the same or negative reciprocals, so they are not parallel or perpendicular.

<u>Hope this helps :-)</u>

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Jemma is three times as old as Angie. Five years from now the sum of their ages will be 34 years. What are their present ages?
Lapatulllka [165]

Answer: Angie = 6, Jemma = 18

<u>Step-by-step explanation:</u>

Let x represent the current age of Angie

              Current Age           Age 5 years from now

Angie:            x                              x + 5

Jemma:        3x                            3x + 5

5 years from now the sum of their ages is 34

                  (x + 5) + (3x + 5) = 34

                               4x + 10 = 34

                               4x        = 24

                                 x         = 6

Angle's current age is x = 6

Jemma's current age is 3x = 3(6) = 18

5 0
3 years ago
Read 2 more answers
BRAINLIST GIVEN What is the length of BC¯¯¯¯¯ ?
Temka [501]

since the ∡C = ∡B, that means their corresponding sides stemming from the vertex A are equal, namely AC = AB.

2x - 24 = x - 2

x = 22.

6 0
3 years ago
Read 2 more answers
A 9-yard roll of string costs $3.42. What is the unit price?
Karolina [17]

<em>Answer:</em>

<em>$0.38 per yard</em>

<em>Step-by-step explanation:</em>

<em>Step 1:</em>

Given; A 9-yard roll of string that costs $3.42.

Required; To find the unit price

<em>  Step 2:</em>

Convert $3.42 to cents

1 ~dollar=100~cents ~\\therefore,\\$3.42=3.42~x~100=342~cents~

<em>Step 3:</em>

<em>Find the unit price</em>

\frac{9 yard}{1 yard} =\frac{342 ~cents}{x~cents}

9x=342

\frac{9x}{9} =\frac{342}{9}

x=38~cents

<em>Convert to dollars</em>

x=\frac{38}{100}

x=0.38~per~yard

Hence the unit price is $0.38 per yard.

5 0
2 years ago
What are the domain and range of this function y=(x+3)^2 -5
n200080 [17]

Answer: Choice A

Note: the range should be [-5, \infty). See explanation below.

===================================================

We can plug in any real number for x to get some output for y. The domain is the set of all real numbers in which we say (-\infty, \infty) which is interval notation. It represents the interval from negative infinity to positive infinity.

The range is the set of possible outputs. The smallest output possible is y = -5 which occurs at the vertex (3,-5). We can get this y value or larger. So we can describe the range as the set of y values such that y \ge -5 and that translates to the interval notation [-5, \infty).

The square bracket says "include this endpoint" while the curved parenthesis says to exclude the endpoint. Your teacher mistakenly wrote (-5, \infty) for choice A, when they should have written [-5, \infty)

I think either your teacher made a typo or somehow the formatting messed up. Either way, choice A is the closest to the answer.

8 0
3 years ago
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Two angles that are supplementary are always linear pair true or false?
insens350 [35]
The answer would be True
5 0
3 years ago
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