3 years ago

280 divided by 8 equal

Mathematics

1 answer:

IgorC [24]3 years ago

8 0

Answer:

Step-by-step explanation:

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What is the area of triangle ABC?<br> A(2,1) B(4,7) C(6,3)

Helen [10]

Answer: 10

Step-by-step explanation:

It appears that $\overline{AC} \perp \overline{BC}$ , so to check if this is the case, we can use the slope formula.

$m_{\overline{AC}}=\frac{3-1}{6-2}=\frac{1}{2}\\m_{\overline{BC}}=\frac{3-7}{6-4}=-2$

Since these slopes are negative reciprocals, we can see that this is the case. So, we can take $\overline{AC}$ as the base of the triangle and $\overline{BC}$ as the height of the triangle, and then use the formula $A=\frac{1}{2}bh$ .

Using the distance formula,

$AC=\sqrt{(6-2)^{2}+(3-1)^{2}}=\sqrt{16+4}=2\sqrt{5}\\BC=\sqrt{(4-6)^{2}+(7-3)^{2}}=\sqrt{4+16}=2\sqrt{5}$

So, the area is $\frac{1}{2}(2\sqrt{5})(2\sqrt{5})=\boxed{10}$

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4. If your car is going 50 miles in 2 hours, what is its average speed?

MissTica

Answer:

25 miles/hour

Step-by-step explanation:

<u>Step 1: Find the unit speed</u>

Total miles / Total hours

50 / 2

25 miles/hour

Answer: 25 miles/hour

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