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Oduvanchick [21]
3 years ago
15

Please help ASAP! Which ordered pair is a solution of this

Mathematics
2 answers:
olya-2409 [2.1K]3 years ago
7 0
<h3>Answer: Choice C.  (-2,2)</h3>

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

Explanation:

For each possible answer choice, you'll plug in the given coordinates to see which results in a true equation or not.

If we try choice A, then we plug in x = 2 and y = -1 to get

-5x-9y = -8

-5(2)-9(-1) = -8

-10+9 = -8

-1 = -8 which is false

So (x,y) = (2,-1) is not a solution. We can cross choice A off the list.

You'll find a similar situation happens with choices B and D. They don't work either.

-------

Choice C works because...

-5x-9y = -8

-5(-2)-9(2) = -8 .... replaced x with -2, replaced y with 2

10-18 = -8

-8 = -8

We get a true equation. So (-2,2) has been confirmed to be a solution.

klio [65]3 years ago
5 0
D is the correct answer
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The slats on Venetian blinds are designed to remain parallel in order to direct the path of light coming in a window. In paralle
Darina [25.2K]

Answer:

  A.) JH = 1 in

  B.) GH = 3/4 in

  C.) m∠F = 62°

  D.) m∠J = 118°

Step-by-step explanation:

In a parallelogram, opposite angles are congruent, adjacent angles are supplementary, and opposite sides are congruent.

  A.) JH = FG = 1 in

  B.) GH = FJ = 3/4 in

  C.) m∠F = m∠H = 62°

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8 0
2 years ago
The time to fly between New York City and Chicago is uniformly distributed with a minimum of 120 minutes and a maximum of 150 mi
lara [203]

Answer:

a) 33.33%)

b) 135 minutes

c) 8.66 min

d) 50%

Step-by-step explanation:

a) the probability for a uniform distribution is

P(b<X<a) = (a-b)/(c-d) , where c and d are the maximum and minimum values

therefore the probability that the flight is more than 140 minutes ( and less than 150 since it is the maximum value)

P(140<X<150) = (a-b)/(c-d) = (150-140)/(150-120) = 10/30 = 1/3 (33.33%)

b) the mean (expected value) for a uniform probability distribution is

E(X) = (c+d)/2 = (120+150)/2 = 135 minutes

c)  the standard deviation for a uniform probability distribution is

σ²(X)= (c-d)²/12 = (150-120)²/12 = 75 min²

σ = √75 min² = 8.66 min

b) following the same procedure as in a)

P(120<X<135) = (a-b)/(c-d) = (135-120)/(150-120) = 15/30 = 1/2 (50%)

4 0
3 years ago
Sin(42) = cos(x) <br> Solve for x
mariarad [96]

Answer:

X = 48

Step-by-step explanation:

When you type sin(42) in your calculator it will give you something around 0.669.

If you try reverse sinus sin-1(0.669) it will give you 42.

Therefore you can say that:

Cos(x) = 0.669

So you can reverse the cos to get your answer

Cos-1(0.669) = 48

Or

Cos-1 (sin(42))

3 0
3 years ago
A class consisting of 4 graduate and 12 undergraduate students is random divided into 4 groups of 4. what is the probability tha
MrRissso [65]
Total = 16
Graduates = 4

\frac{4}{16}  =  \frac{1}{4}
\frac{1}{4}  \div 4  \\ =  \frac{1}{4}  \times  \frac{1}{4}  \\  =  \frac{1}{16}
\frac{1}{16}  = 0.0625
Rounding off to 2 decimal places,
Answer is 0.06

Hope this helps. - M
5 0
3 years ago
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