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olga nikolaevna [1]
3 years ago
7

A triangle has one side that lies along the line y=1/4x and another that lies along the line y=-1/4x. Which of the following poi

nts could be a vertex of the triangle?
Mathematics
1 answer:
mestny [16]3 years ago
4 0

Answer:

We know that our triangle has one side along the line:

y = (1/4)*x

And other side along the line:

y = -(1/4)*x.

Now, we want to find the vertex.

And we know that the vertex is the point where the two sides conect, so the vertex must be a common point of both lines.

Then we have:

y = (1/4)*x = -(1/4)*x

x = -x

The only solution to that equation is x = 0.

now we evaluate our lines in x = 0 and get:

y = (1/4)*0 = 0

y = -(1/4)*0 = 0

Then the lines intersect in the point (0, 0)

Then the vertex must be in the point (0, 0)

You might be interested in
Simplify(6^5/7^3)^2 .................help please
garri49 [273]

Answer:

513.95402 I think lol

 4.1     7776 = 25•35

(7776)2 = (25•35)2 = 210 • 310  4.2     343 = 73 (343)2 = (73)2 = 76

7 0
2 years ago
Read 2 more answers
Which of the following Is a binomial?<br>A. 7x+21, B. 3/x, C. 8x^2+6x+5, D. 19x^4<br>​
zheka24 [161]

Answer: a

Step-by-step explanation:

a is a binomial

3 0
3 years ago
a catering service offers 6 appetizers, 10 main courses, and 8 desserts. A banquet committee is to select 2 appetizers, 3 main c
S_A_V [24]

There are two different answers that you could be looking for.
You might be asking how many different meals can be served at the banquet,
or you might be asking literally how many 'ways' there are to put meals together.

I'm going to answer both questions.  Here's how to understand the difference:

Say you have ten stones, and you tell me "I'll let you pick out two stones
and take them home.  How many ways can this be done ?"

For my first choice, I can pick any one of 10 stones.  For each of those . . .
I can pick any one of the 9 remaining stones for my second choice.
So the total number of 'ways' to pick out two stones is  (10 x 9) = 90 ways.

But let's look at 2 of those ways:
   -- If I pick stone-A first and then pick stone-G, I go home with 'A' and 'G'.
   -- If I pick stone-G first and then pick stone-A, I still go home with 'A' and 'G'.
There are two possible ways to pick the same pair.
In fact, there are two possible ways to pick <em><u>every</u></em> pair.
So there are 90 <em><u>ways</u></em> to pick a pair, but only 45 different pairs.

That's the reason for the difference between the number of <em><u>ways</u></em> the
committee can make their selections, and the number of different <em><u>meals</u></em>
they can put together for the banquet.

So now here's the answer to the question:

-- Two appetizers can be selected in (6 x 5) = 30 ways.
(But each pair can be selected in 2 of those ways,
so there are only 15 possible different pairs.)

-- Three main courses can be selected in (10 x 9 x 8) = 720 ways.
(But each trio can be selected in 3*2=6 of those ways,
so there are only 120 possible different trios.)

-- Two desserts can be selected in (8 x 7) = 56 ways.
(But each pair of them can be selected in 2 of those ways,
so there are only 28 possible different pairs.)

-- The whole line-up can be selected in (30 x 720 x 56) = <em>1,209,600 ways</em>.

But the number of different meals will be  (30 x 720 x 56) / (2 x 6 x 2) =

                                                                   (15 x 120 x 28) =  <em><u>50,400 meals</u></em>.



5 0
3 years ago
ABCD is a parallelogram. Which statements are true?
kirill115 [55]

Answer:

4 se eu não asetar mi disputa amigo

5 0
3 years ago
The candy shop puts 10 ounces of gummy bears in each box. How many boxes do they need to fill if there are 2,114 pounds of gummy
Tems11 [23]

Answer:

Number of boxes= 3,382.4 = 3,383 boxes

Step-by-step explanation:

Giving the following information:

Number of ounces per box= 10 ounces

Total pounds= 2,114

We know that one pound is 16 ounces.

<u>To calculate the number of boxes, we need to use the following formula:</u>

Number of boxes= total ounces / ounces per box

Number of boxes= (2,114*16) / 10

Number of boxes= 3,382.4 boxes

3 0
3 years ago
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