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3 years ago

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Which is a set of collinear points and which statement describes the drawing. Can someone help?

1 answer:

Reptile [31]3 years ago

6 0

First exercise:

Two points are collinear if they lie on the same line. So, option A is correct, because I, H and G all lie on the same line.

Second exercise:

Opposite rays start from the same point and go in two opposite direction. So, Option B is correct, because the rays defined by the other options always have a point in common, so they actually are opposite rays. Also, YW and YX are the same ray, because they start from the same point and continue in the same direction.

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Mr. Martin is giving a math test next period. The test, which is worth 100 points, has 35 problems. Each problem is worth either

fenix001 [56]

Answer:

x + y = 100

5x + 2y = 35

Step-by-step explanation:

3 0

3 years ago

Attachment <br> What is the inverse of the function

jok3333 [9.3K]

The correct answer is D.

In order to solve for a function's inverse, you must start by switching the x and f(x) values. Then you solve for the new f(x). Once you have done that, you'll be left with the new function, which is the inverse of the original. See the work below for how this one will be solved.

f(x) = $\sqrt{x - 1} + 5$ ----> Switch the x and f(x)

x = $\sqrt{f(x) - 1} + 5$ ----> Now subtract the 5 from both sides.

x - 5 = $\sqrt{f(x) - 1}$ ---> Now square both sides.

$(x-5)^{2}$ = f(x) - 1 ----> Now add 1 to both sides.

$(x-5)^{2}$ + 1 = f(x)

And now that you have something equaling f(x), you can change the order and match it up to answer D.

f(x) = $(x-5)^{2}$ + 1

7 0

3 years ago

In a school one-third of all 240 students play soccer. Forty four students play both soccer and basketball and sixty students do

stiv31 [10]

Answer:

100 students play only basketball.

Step-by-step explanation:

We are given the following information in the question:

Total number of students in school = 240

Number of students that play soccer =

$\dfrac{1}{3}\times \text{Total number of students}\\\\=\dfrac{1}{3}\times 240 = 80$

n(S) =80

$n(S\cap B) = 44$

$n(S'\cap B') = 60$

Formula:

$n(S\cup B) = \text{Total} - n(S' \cap B')\\n(S\cup B) = n(S) + n(B) - n(S\cap B)$

Putting the values, we get,

$n(S\cup B) =240-60=180\\n(S\cup B) = 180 = 80 - 44 + n(B)\\n(B) = 180 - 80 + 44= 144$

Thus, 144 students play basketball.

Out of these 144, 44 plays soccer as well.

$\text{Student only playing basketball} = 144 -44 = 100$

Thus, 100 students play only basketball and not soccer.

7 0

4 years ago

A pair of skis were $275 but were on sale for $195. What percent reduction is this?

Stels [109]

$275*x%=195

It will be a 29% reduction. But it will not have the exact cost of $195

7 0

4 years ago

7/10 divide by 5/9 in simplest form

Eddi Din [679]

You can use keep it change it flip it and do:

7/10•9/5=63/50= 1 3/50
7•9=63
10•5=50

Hope this helped

7 0

3 years ago