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Rom4ik [11]
3 years ago
15

100 POINTS FOR WHOEVER ANSWER THIS QUESTION FULLY!!!

Mathematics
1 answer:
natulia [17]3 years ago
7 0

Answer:

  • Yes, diagonals bisect each other

Step-by-step explanation:

<em>See attached</em>

Plot the points on the coordinate plane

Visually, it is seen that the diagonals bisect each other.

We can prove this by calculating midpoints of AC and BD

<u>Midpoint of AC has coordinates of:</u>

  • x = (1 - 1)/2 = 0
  • y = (4 - 4)/2 = 0

<u>Midpoint of BD has coordinates of:</u>

  • x = (4 - 4)/2 = 0
  • y = (-1 + 1)/2 = 0

As per calculations the origin is the bisector of the diagonals.

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Please help... need help ASAP due today... which ones are the answers?
andrey2020 [161]

Answer:

Choices 1 and 4 are correct.

Step-by-step explanation:

We first need to find what the slope of the line is. That way, we can find out which possible answers are perpendicular to it:

\frac{4-(-2)}{3-1}=\frac{6}{2}=3

Since we now have the slope, we need the negative reciprocal of it. Remember: if x is the slope, it's negative reciprocal will be -\frac{1}{x}. Therefore, if the line's slope is 3, then we need to find answers with a slope of-\frac{1}{3}.

The first answer is correct, as you have marked. The second answer, while written a little weirdly, does show the slope as 3, which we know as wrong. The third choice is not correct, however. This equation is written in point-slope form, wherey-y_{1}=m(x-x_{1}). The only variable we have to worry about is m, which, in the third choice, is 3. The fourth answer is correct, which sounds weird at first. Let's put that equation into slope-intercept form:

x+3y=9\\3y=9-x\\y=3-\frac{1}{3}x\\y=-\frac{1}{3}x+3

Equations like these can be real sneaky, so it's important not to jump to conclusions with them.

6 0
3 years ago
Find the x-intercept of the parabola with vertex (1,-13) and y-intercept (0,-11).
Advocard [28]
1. find equation

general solutions are:
y = a x^{2} +bx +c \\ \\ \frac{dy}{dx} = 2ax +b

for P(0,-11)

-11 = 0a + 0b +c ⇒c = -11

for p(1,-13)
-13 = 1a + 1b -11 \\ a+b = -2

and

0 = 2a + b \\ b = -2a

solve for a and b:
a - 2a = -2 \\ a = 2 \\ b = -4

the total equation is now:

y = 2 x^{2} -4x -11

To find the x-intercept set y=0 and solve for x

0 = 2 x^{2} -4x-11
4 0
3 years ago
Read 2 more answers
The force of gravity depends on the distance between objects? true or false​
MrRissso [65]

Answer:

True

Step-by-step explanation:

It depends on two factors :mass of the objects and distance between the objects

hope this will help u

3 0
3 years ago
Is 42.9 a rational number
Elan Coil [88]

Answer:

Yes.

Step-by-step explanation:

What is a rational number?

A whole number, fraction, terminating or recurring decimal.

42.9 = 429/10 which is a fraction.

So it's rational.

3 0
3 years ago
There are 950 students at Hanover High School. The ratio of the number of freshmen to all students is 3:10. The ratio of the num
-Dominant- [34]

Hi there! Since the ratios of students at Hanover High School are in different scales, we need to scale them up! First, let's take the ratio 1:2. This can be scaled up to 5:10. Now, combine the two ratios to find the ratio of freshmen to sophomores. 3:10 + 5:10 = 8:10. The remaining number is 2, since 8 + 2 = 10, so the ratio of freshmen to sophomores is 2:10!

Hope this was helpful!

7 0
4 years ago
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