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ahrayia [7]
3 years ago
15

Determine whether the ordered pair (2, 13) is a solution of the equation y = 4x + 5.

Mathematics
1 answer:
DerKrebs [107]3 years ago
8 0
To find whether or not the set is a solution, we substitute the numbers in with the x and y values.
x=2
y=13
Which gives us...
13=4(2)+5
Now we ask ourselves, does this satisfy the equation?
13=13
Which it does. This tells us that the point (2,13) is on the line y=4x+5
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The admision fee at a basket ball game is 350$ for children and 750$ for adults. On a certain night,1500 people enter the basket
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<u>Note: The only way to solve this problem is by adjusting the fees to $3.50 and $7.50.</u>

Answer:

<em>1300 children attended the basketball game</em>

Step-by-step explanation:

System of Equations

Let's call:

x = number of children attending the basketball game

y = number of adults attending the basketball game

On a certain night, 1500 people enter the game, thus:

x + y = 1500           [1]

Since each admission fee for children cost $3.50 and $7.50 for adults and it was collected $6050, thus:

3.50x + 7.50y = 6050            [2]

From [1]:

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Substituting in [2]:

3.50x + 7.50(1500 - x) = 6050

Operating:

3.50x +  11250 - 7.50 = 6050

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x = 1300

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The description below proves that the perpendicular drawn from the vertex angle to the base bisect the vertex angle and base.

<h3>How to prove an Isosceles Triangle?</h3>

Let ABC be an isosceles triangle such that AB = AC.

Let AD be the bisector of ∠A.

We want to prove that BD=DC

In △ABD & △ACD

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∠BAD =∠CAD(Because AD is the bisector of ∠A)

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By SAS Congruency, we have;

△ABD ≅ △ACD

By corresponding parts of congruent triangles, we can say that; BD=DC

Thus, this proves that the perpendicular drawn from the vertex angle to the base bisect the vertex angle and base.

Read more about Isosceles Triangle at; brainly.com/question/1475130

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