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alexdok [17]
4 years ago
7

A graph creates a triangle with the x-axis, the line 3x-2y=0, and the line x+2y=10. Find the area of the triangle formed in squa

re units.
Mathematics
1 answer:
MariettaO [177]4 years ago
6 0

Answer:

18.75

Step-by-step explanation:

To identify the vertices of this triangle, you need to find the x intercepts of both lines, as where their solutions match. Let's start with setting them equal to each other. If you subtract 10 from both sides of the second equation, then both equations are left equaling zero.  You can also multiply both sides of the equation by -1 for easier solving later Now:

3x-2y=-2y-x+10

4x=10

x=2.5

y=3.75

This shows that the height of this triangle is 3.75. Now, to find the x intercepts of both equations, we simply have to plug in the y value as 0. For the first one, 3x-0=0, so x=0 as well and the coordinates are (0,0). For the second one, x+0=10, so x=10 and the coordinates are (10,0). This shows that the base is 10-0=10 units long. The formula for the area of a triangle is \frac{bh}{2}=\frac{10\cdot3.75}{2}=18.75. Hope this helps!

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4,412.096 rounded to the nearest hundredth.
Mkey [24]

We remember that when we round a decimal, we look the number to the right to the one we want to round (in this case, as we want to round to the nearest hundredth, we look at the thousandth position).

0. If the number ,is greater or equal than 5, we round up, (this is, we add 1 number to the position).

,

1. If the number, is less than 5, we round down, (we leave the same number)

In our exercise, we look at the thousandth position, which is 6. And as it is bigger than 5, we add 1 to the 9 (which is the hundredth position):

We obtain 10, but then as we can't put 10 on a digit, we add 1 to the tenth, and we obtain:

4,412.10

Thus, 4,412.096 rounded to the nearest hundredth is 4,412.1.

8 0
2 years ago
A board game uses a deck of cards that players draw from to move tokens around the board. The probability of selecting a card th
Len [333]

Using the binomial distribution, it is found that approximately 156 cards must be drawn from the deck before players' tokens move forward 50 times.

<h3>What is the binomial probability distribution?</h3>

It is the probability of <u>exactly x successes on n repeated trials, with p probability </u>of a success on each trial.

The expected number of trials until q successes is:

E_s(X) = \frac{q}{p}

In this problem, the parameters are given as follows:

q = 50, p = 0.32.

Hence:

E_s(X) = \frac{50}{0.32} = 156

More can be learned about the binomial distribution at brainly.com/question/24863377

#SPJ1

4 0
2 years ago
Let f(x)=5x+2 find f(-6)
LuckyWell [14K]

Answer:

-28

Step-by-step explanation:

Plugging in -6 as x we get 5(-6) + 2, which simplifies to -30 + 2 or -28.

8 0
3 years ago
Please help ASAP first to answer correctly gets brainlyist
Anna11 [10]

Median means middle. How you solve this is by first putting the numbers in order from least to greatest:

36  41   43   45  46  48  48  51  51  52

Now that it is in order in each "level" take away the smallest and largest number until you get to the middle

36 41   43   45  46  48  48  51  51 52

      41   43   45  46  48  48  51 51

             43   45  46  48  48  51

                    45  46  48  48

                            46  48

Now this is a bit tricky because there isn't one number to signify the exact middle. When you have two numbers left you must take the mean of those two numbers. This means that you add the two numbers left and then divide the answer by 2:

46 + 48 = 94

94 ÷ 2 = 47

Hope this helped!

5 0
3 years ago
A square has sides 5.3 cm long what is the area ?
frez [133]
28.09 is the area man
3 0
3 years ago
Read 2 more answers
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