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Aleksandr [31]
2 years ago
13

Help me with this problem

Mathematics
1 answer:
ryzh [129]2 years ago
4 0

Answer:

Looking at the given points we know that it is going to be a triangle because it only have 3 points.  Therefore the figure is a triangle and the area formula would be A=\frac{1}{2}*b*h.

You can look at the attached graph and what we see is that our height of the triangle is from y=-3 to y=4 which means that our height is 7 units high.  We can also see that our base starts at x=-4 and ends at x=4 making us have a base of 8 units.

<u>We then plug in the values and solve</u>

A = \frac{1}{2}*7\ units * 8\ units

A = \frac{1}{2}*56\ units^2

A = 28\ units^2

Therefore, the area of our triangle is 28\ units^2

Hope this helps!  Let me know if you have any questions

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Question 12
soldi70 [24.7K]

The question is incomplete! Complete question along with answer and step by step explanation is provided below.

Question:

The tank for a car holds 17 gallons. The gasoline gauge shows the tank is 3/4 full. How much gas is still in the tank?

Give your answer as a whole number or as a mixed fraction reduced to lowest terms.

Answer:

Gas \: \:left = 12 \frac{3}{4} \: \:gallons \\\\

Step-by-step explanation:

The tank for a car holds 17 gallons.

The gasoline gauge of the car shows that the tank is 3/4 full.

We are asked to find the remaining gasoline in the tank.

Gas \: \:left = \frac{3}{4} \times 17 \\\\Gas \: \:left = \frac{51}{4}  \\\\Gas \: \:left = 12 \frac{3}{4}  \: \:gallons \\\\

Therefore, the remaining gas in the tank is 12\frac{3}{4} gallons.

Alternatively:

1 - \frac{3}{4}  = \frac{1}{4}

Amount of gasoline consumed = \frac{1}{4} \times 17 =  \frac{17}{4}

Amount of gasoline left = total - consumed

Amount of gasoline left = 17 - \frac{17}{4} = 12\frac{3}{4} \:\: gallons

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