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Arisa [49]
3 years ago
13

Factor: 100x^2- 81

Mathematics
1 answer:
Alex17521 [72]3 years ago
7 0

Answer:

Choice 'D' (10x + 9) (10x-9) is the correct answer

Step-by-step explanation:

100x^2 - 81

This is a difference of squares...

therefore = (10x + 9) (10x - 9)

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Help with this one because I do not know how to do perpendicular plz put explanation with steps worth 50!
Yuri [45]

Answer:

Therefore, equation of the line that passes through (16,-7) and is perpendicular to the line 2x-3y=12 is 3x+2y=34  

Step-by-step explanation:

Given:  

2x-3y=12  

To Find:  

Equation of line passing through ( 16, -7) and is perpendicular to the line  

2x-3y=12  

Solution:  

2x-3y=12 ...........Given  

\therefore y=\dfrac{2}{3}\times x-4

Comparing with,  

y=mx+c  

Where m =slope  

We get  

Slope = m1 = \dfrac{2}{3}  

We know that for Perpendicular lines have product slopes = -1.

m1\times m2=-1

Substituting m1 we get m2 as

\dfrac{2}{3}\times m2=-1\\\\m2=-\dfrac{3}{2}

Therefore the slope of the required line passing through (16 , -7) will have the slope,

m2=-\dfrac{3}{2}  

Now the equation of line in slope point form given by  

(y-y_{1})=m(x-x_{1})  

Substituting the point (16 , -7) and slope m2 we will get the required equation of the line,  

(y-(-7))=-\dfrac{3}{2}\times (x-16)\\\\2y+14=-3x+48\\3x+2y=34......Equation\ of\ line  

Therefore, equation of the line that passes through (16,-7) and is perpendicular to the line  2x-3y=12 is

3x+2y=34  

3 0
3 years ago
What is the area of the pentagon
vlada-n [284]
The area of the pentagon is 140
3 0
3 years ago
Read 2 more answers
What is the solution to the system of equations? Use the substitution method.
BabaBlast [244]
The answer is:
4x+2y=11}  4x+2y=11} x=2-2y
x-2=-2y    }  x+2y=2    } x=2-2(-3/6)
                                      x=2-(-6/6)
4(2-2y)+2y=11              x=2-(-1)
8-8y+2y=11                   x=3
8-6y=11
-6y=11-8
-6y=3/-6
y=-3/6=-1/2

So for my opinion the solution is A.(3,-1/2)
4 0
3 years ago
Jessica has 20 pieces of candy in a bag: 2 mint sticks, 9 jelly treats, and 9 fruit tart chews. If she eats one piece every 10 m
dedylja [7]

Answer:

18.95%

Step-by-step explanation:

In this case what we must do is calculate the probability of eating a jelly treats first and then another jelly treats, being the final probability the multiplication of these events.

We know that there are 20 in total and that initially there are 9 jelly treats, so the first event is the probability:

9/20  

And the second event, with one less in each, would be:

8/19

The final probability then:

9/20 * 8/19 = 0.1895

So the probability of this happening is 18.95%

4 0
4 years ago
Read 2 more answers
The three angles of a triangle measure x+37, 90, and x+67. Find the measurement of the smallest angle in degrees.
Kisachek [45]

Step-by-step explanation:

so the smallest angle is angle A which is 30 degree

7 0
3 years ago
Read 2 more answers
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