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Arlecino [84]
2 years ago
9

How many solutions does the following system of equations have?

Mathematics
1 answer:
True [87]2 years ago
6 0
We will use a method of substitution.
y = 5/2 x + 2 
2 y = 5 x + 4   ⇒  2 ( 5/2 x + 2 )= 5 x + 4
5 x + 4 = 5 x + 4
0 x = 0            ⇒  x, y ∈ R
Answer: D)   
This system has infinitely many solutions.
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Tom wants to reach a second floor window on a house that is 20 feet above ground. If he must put the ladder at a 70 degree angle
LuckyWell [14K]
Assuming the house is parallel to the ground, your triangle is made up by the house, the ground, and the ladder. Using sin(x) = opposite/hypotenuse on the angle 70 degrees, you would have sin(70) = 20/x (because 20 is the side opposite of the angle connecting the ladder and the ground)
--> simplify sin(70) * x = 20 --> x = 20 / sin(70 
--> substitute (and make sure your calculator in in degrees) x= 21. 284
7 0
3 years ago
If h and j are positive, (h+j)2 = 73 and h2 +j2 = 51, what is hj?
kkurt [141]

Answer:

hj = 11

Step-by-step explanation:

  • (h+j)^2=73,\:\: and\:\: h^2+j^2 =51 (Given)

  • (h+j)^2 = h^2+j^2 +2hj

  • \implies 73= 51 +2hj

  • \implies 73- 51 =2hj

  • \implies 22 =2hj

  • \implies hj = \frac{22}{2}

  • \implies hj = 11
3 0
2 years ago
A recent survey of 128 high school students indicated the following information about release times from school. -35 percent wan
wlad13 [49]

Answer:

The interval is for those that want to get out earlier is between 43 student to 47 students

The interval is for those that want to get out later is between 48 student to 50 students

Step-by-step explanation:

Given that:

sample size n=128

Probability of those  that want to get out earlier = 0.35.

The mean  =  n × probability = 0.35 × 128 = 44.8 ≈ 45

Margin of error = 4% = 0.04 × 44.8 = 1.79 ≈ 2

Therefore the interval = mean ± Margin of error = 45 ± 2 = (43, 47)

The interval is for those that want to get out earlier is between 43 student to 47 students

Probability of those  that want to get out later = 0.39.

The mean  =  n × probability = 0.39 × 128 = 49.92 ≈ 50

Margin of error = 4% = 0.04 × 50 =  2

Therefore the interval = mean ± Margin of error = 50 ± 2 = (48, 52)

The interval is for those that want to get out later is between 48 student to 50 students

the group that wants to get out of school earlier to win after all the votes are counted if those that have no opinion decide that they want to go earlier

5 0
3 years ago
JOJO help me I can't work good
photoshop1234 [79]

Answer:

C. 46 degrees

Step-by-step explanation:

In a rotation all angles and side lengths are preserved so the angle measure will be the same in both the image and pre-image.

6 0
3 years ago
Read 2 more answers
3) Write in expanded form: 12, 245
spin [16.1K]
Twelve, two hundred and fourty five
5 0
2 years ago
Read 2 more answers
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