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3 years ago

How many ways can a 6 question a. True b. False exam be answered combination?

Mathematics

1 answer:

Natasha2012 [34]3 years ago

5 0

I think the answer is True,I think?

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On a coordinate plane, the location of 3 points are: (0, 6). (5. -4), and (-1-5). Where would the fourth point need to be locate

mario62 [17]

Given:

The three vertices of parallelogram are (0,6),(5,-4),(-1,-5).

To find:

The fourth vertex of the parallelogram.

Solution:

Consider the given vertices of parallelogram are A(0,6), B(5,-4), C(-1,-5).

Let the fourth vertex be D(a,b).

Midpoint formula:

$Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)$

We know that the diagonal of parallelogram bisect each other. It means their midpoints are same.

Midpoint of AC = Midpoint of BD

$\left(\dfrac{0+(-1)}{2},\dfrac{6+(-5)}{2}\right)=\left(\dfrac{5+a}{2},\dfrac{-4+b}{2}\right)$

$\left(\dfrac{-1}{2},\dfrac{1}{2}\right)=\left(\dfrac{5+a}{2},\dfrac{-4+b}{2}\right)$

On comparing both sides, we get

$\dfrac{5+a}{2}=-\dfrac{1}{2}$

$5+a=-1$

$a=-1-5$

$a=-6$

And,

$\dfrac{-4+b}{2}=\dfrac{1}{2}$

$-4+b=1$

$b=1+4$

$b=5$

Therefore, the coordinates of fourth vertex are (-6,5).

8 0

3 years ago

What does this equal? 4(2x+1)-2x=-8

Charra [1.4K]

To solve equations, you want to isolate the X. So, the first step will be to distribute that 4 into the 2x + 1.
4 x 2 = 8
4 x 1 = 4 So we have 4(2x+1) = 8x+4. When we plug this into the equation, that gets us 8x + 4 - 2x = -8. Next, let's combine like terms now that we've distributed everything out. 8x - 2x = 6x. Now we have
6x + 4 = -8. Next, we subtract 4 from both sides to isolate the X; 6x = -8 - 4. -8 - 4 = -12. So now we have 6x = -12. The final step to isolating the X is to divide both sides by 6; 6/6 = 1, and -12/6 = -2. Our final answer is X = -2.

5 0

4 years ago

Read 2 more answers

The height h of an arrow in feet is modeled by h(t) = -16t^2 + 63t +4, where t is the time in seconds since the arrow was shot.

FinnZ [79.3K]

If the arrow is in the air, then when it hits the ground, h(t)=0. So:
0=-16t²+63t+4
16t²-63t-4=0
(16t+1)(t-4)=0
t= -1/16 or 4
Using the positive result of 4, we get t=4 seconds as the time the arrow was in the air
☺☺☺☺

6 0

3 years ago

Find the length of this

Keith_Richards [23]

Answer:

Hey there!

We have tan 9= 21/BW

tan 9 (BW)=21

BW= 21/tan 9

BW= 132. 59

Hope this helps :)

4 0