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lilavasa [31]
3 years ago
5

Which pair does not belong

Mathematics
1 answer:
never [62]3 years ago
6 0
What are the options
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Find the other endpoint of the line segment with the given endpoint and midpoint. Endpoint: (9,8) Midpoint (0,9)​
shepuryov [24]

Answer:

(-9, 10)

Step-by-step explanation:

The location of the midpoint of a line with endpoint at (x_1,y_1) and (x_2,y_2) is given as (x, y). The location of x and y are:

x = \frac{x_1+x_2}{2},y=\frac{y_1+y_2}{2}

Given the endpoint (9,8) and Midpoint (0,9), the location of the other endpoint can be gotten from:

0=\frac{9+x_2}{2}\\ \\9+x_2=0\\\\x_2=-9\\\\Also,9=\frac{8+y_2}{2}\\ \\8+y_2=18\\\\y_2=18-8\\\\y_2=10

Hence the endpoint is at (x2, y2) which is at (-9, 10)

5 0
3 years ago
I'm desperate for help. Please help
Rus_ich [418]
Remember that in PEMDAS, you do the parentheses first.

1. For each answer choice, do whatever is in the parentheses first.

2. Multiply that number to the one outside the parentheses

Hint: For this problem, If all the signs in the answer choice are multiplication, they will equal the same number.
7 0
3 years ago
Read 2 more answers
A baseball player has made 32 free throws in 45 attempts for current success rate of 71%. How many consecutive free throws must
s344n2d4d5 [400]

Answer: The player need to make 2 consecutive free throws to raise the average to 75%.

Step-by-step explanation:

Let the number of extra consecutive free throws to raise the average to 75% be 'x'.

Number of free throws already taken = 32

Number of attempts = 45

According to question, it becomes,

\dfrac{32+x}{45}=0.75\\32+x=45\times 0.75\\\\32+x=33.75\\\\x=33.75-32\\\\x=1.75

Hence, the player need to make 2 consecutive free throws to raise the average to 75%.

6 0
3 years ago
Which graph represents polynomials function f(x)=x^3+4x^2-15x-18
olya-2409 [2.1K]
The bottom left, lies never -6 on x axis and 20 on y axis
4 0
3 years ago
Read 2 more answers
This question is from the similarity chapter. It would be really kind of you if you would answer this question.
katen-ka-za [31]

Answer:

a) 1650 m

b) 1677.05 m

Step-by-step explanation:

Hi there!

<u>1) Determine what is required for the answers</u>

For part A, we're asked for solve for the horizontal distance in which the road will rise 300 m. In other words, we're solving for the distance from point A to point C, point C being the third vertex of the triangle.

For part B, we're asked to solve for the length of the road, or the length of AB.

<u>2) Prove similarity</u>

In the diagram, we can see that there are two similar triangles: Triangle AXY and ABC (please refer to the image attached).

How do we know they're similar?

  1. Angles AYX and ACB are corresponding and they both measure 90 degrees
  2. Both triangles share angle A

Therefore, the two triangles are similar because of AA~ (angle-angle similarity).

<u>3) Solve for part A</u>

Recall that we need to find the length of AC.

First, set up a proportion. XY corresponds to BC and AY corresponds to AC:

\frac{XY}{BC}=\frac{AY}{AC}

Plug in known values

\frac{2}{300}=\frac{11}{AC}

Cross-multiply

2AC=11*300\\2AC=3300\\AC=1650

Therefore, the road will rise 300 m over a horizontal distance of 1650 m.

<u>4) Solve for part B</u>

To find the length of AB, we can use the Pythagorean theorem:

a^2+b^2=c^2 where c is the hypotenuse of a right triangle and a and b are the other sides

Plug in 300 and 1650 as the legs (we are solving for the longest side)

300^2+1650^2=c^2\\300^2+1650^2=c^2\\2812500=c^2\\1677.05=c

Therefore, the length of the road is approximately 1677.05 m.

I hope this helps!

3 0
3 years ago
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