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RSB [31]
3 years ago
11

35 POINTS!!!Questions 14-20 please help!

Mathematics
1 answer:
mr_godi [17]3 years ago
3 0
14. sometimes, you can have a 45-45-90 or 60-30-90 triangle (degrees)
sometimes true
15. always
16. never, paralellogram has 2 pairs of paralell sides, trapezoid has 1
17.always
18. sometimes
19. always
20. always

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Write an equation of the line passing through point P(−8, 0) that is perpendicular to the line 3x−5y = 6.
denpristay [2]

Answer:

y = -5/3 * x - 40/3

Step-by-step explanation:

A perpendicular line has an opposite and a reciprocal of the slope.

Your equation should be:

-5y = -3x +6

Divide all parts by -5.

y = 3/5x - 6/5

Since the perpendicular line has an opposite and a reciprocal of the slope, the slope will be -5/3.

Now you must make an equation in point-slope form. This is an example of that form. You will need at least one point to make this equation work. In this case we have (-8,0).

In put the y and x coordinates like this:

y - 0 = -5/3(x - (-8)

Start solving the equation.

y - 0 = -5/3(x + 8)

y - 0 = -5/3 * x - 40/3

y = -5/3 * x - 40/3

This is your equation.

y = -5/3 * x - 40/3

(You can make it -5/3x in your answer but it looks weird online. You may think that it is -5 divided by 3 times x, but it actually is 5/3 times x. That's why I wrote it as y = -5/3 * x - 40/3)

8 0
3 years ago
Read 2 more answers
Factor the trinomial below.
arsen [322]
Option C is your answer. 

9x² + 6x + 1
9x² + 3x + 3x + 1
3x(3x + 1) + 1(3x + 1)

(3x + 1)(3x + 1)
5 0
3 years ago
Solve the system of equations<br> -6y+11x=-36 <br> -4y+7x=-24 <br> x=<br> y=
Papessa [141]

Answer:

Y=6

X=0

Step-by-step explanation:

Hope this helps

3 0
3 years ago
Times for an ambulance to respond to a medical emergency in a certain town are normally distributed with a mean of 450 seconds a
Gnoma [55]

Answer:

(D)109

Step-by-step explanation:

Mean = 450 seconds

Standard deviation = 50

First, we determine the probability that the expected response time is between 400 seconds and 500 seconds, P(400<x<500)

Using the Z-Score,

P(\frac{x-\mu}{\sigma}

From the Z-Score table

P(-1<x<1) = 0.68269  

The probability that the expected response time is between 400 seconds and 500 seconds is 0.68269.

Since there are 160 Emergencies

Number whose expected time is between 400 seconds and 500 seconds

=160 X 0.68269 \approx 109

6 0
3 years ago
1. Explain in a complete sentence if the point (2, -4) is the solution to the system of equations. x + y = -2 2x – y = 8
Temka [501]
So, it says x + y = -2
we just plug in the numbers so,
2 + - 4 = -2
This equation is true and can also be written as
2 - 4 = -2

It also then says that 2x - y = 8
Again, you just plug in the numbers
2 * 2 - (-4) = 8 
This equation is true and can also be writen as,
2*2 + 4 = 8
7 0
3 years ago
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