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jekas [21]
3 years ago
15

Graph the line using a point and a slope. Write the equation of each line. A line that passes through the point (0, –3) and para

llel to another line whose slope is 1.2.
Mathematics
1 answer:
kiruha [24]3 years ago
5 0
Y + 3 = 1.2(x - 0)

y + 3 = 1.2x - 0

y = 1.2x - 3
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I need the steps to this, please. It says solve for x. Each figure is a parallelogram. Show your work.
Trava [24]
With any parallelogram, the diagonals bisect each other. This is another way of saying that they cut each other in half.

FH is one diagonal that is split into two equal pieces by the other diagonal EG.

The two parts of FH (KH and KF) are congruent to each other, so KH = KF. They combine back to FH


By the segment addition postulate
KH + KF = FH
KH + KH = FH .... KF has been replaced with KH (works because KF = KH)
2*KH = FH

Now use substitution
2*KH = FH
2*15 = FH .... replace KH with 15 (since KH = 15)
2*15 = 4x-2 ... replace FH with 4x-2 (since FH = 4x-2)

and solve for x
2*15 = 4x-2
30 = 4x-2
30+2 = 4x-2+2 ... add 2 to both sides
32 = 4x
4x = 32
4x/4 = 32/4 ... divide both sides by 4
x = 8

----------------------------------------
----------------------------------------

Answer: x = 8

5 0
3 years ago
Which ordered pair is a solution to the system of equations?
mixer [17]
(2x - y = -2)2
5x - 2y = -7
4x - 2y = -4
Subtract both
x = -3
5(-3) - 2y = -7
-15 - 2y = -7
-2y = 8, y = -4
Solution: (-3,-4)
6 0
2 years ago
Read 2 more answers
John opens a saving account and by the end of the first month he has $300 in the account. By the end of a 12-month time span, Jo
Annette [7]

Answer:

$300

Step-by-step explanation:

8 0
3 years ago
Students at Dessau Middle School can have fun with math at their first Olympic Math Game Night. It is scheduled for 6 to 8 p.m.
galina1969 [7]

Answer:

great essay lol

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Suppose that the waiting time for a license plate renewal at a local office of a state motor vehicle department has been found t
Wittaler [7]

Answer:

a=30 +1.04*8=38.32

So the value of height that separates the bottom 85% of data from the top 15% is 38.32.  

C) 38.32

Step-by-step explanation:

1) Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

2) Solution to the problem

Let X the random variable that represent the waiting time in minutes of a population, and for this case we know the distribution for X is given by:

X \sim N(30,8)  

Where \mu=30 and \sigma=8

And the best way to solve this problem is using the normal standard distribution and the z score given by:

z=\frac{x-\mu}{\sigma}

We want to find a value a, such that we satisfy this condition:

P(X>a)=0.15   (a)

P(X   (b)

Both conditions are equivalent on this case. We can use the z score again in order to find the value a.  

As we can see on the figure attached the z value that satisfy the condition with 0.85 of the area on the left and 0.15 of the area on the right it's z=1.04. On this case P(Z<1.04)=0.85 and P(z>1.04)=0.15

If we use condition (b) from previous we have this:

P(X  

P(z

But we know which value of z satisfy the previous equation so then we can do this:

z=1.04

And if we solve for a we got

a=30 +1.04*8=38.32

So the value of height that separates the bottom 85% of data from the top 15% is 38.32.  

C) 38.32

7 0
3 years ago
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