2 years ago

Write an algebraic expression for each situation. a. 7 more than a number b. Twice a number

Mathematics

1 answer:

Alex17521 [72]2 years ago

5 0

Step-by-step explanation:

a- 7 + X

b- 2x is the equation for these terms I think so

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An isosceles triangle’s altitude will bisect its base. Which expression could be used to find the area of the isosceles triangle

omeli [17]

Answer:

$\dfrac{\sqrt{40}\cdot \sqrt{40}}{2}$

Step-by-step explanation:

The length of the base is the distance between the points 4+2i and 10+4i, so

$\text{Base}=|10+4i-(4+2i)|=|10+4i-4-2i|=|6+2i|=\sqrt{6^2+2^2}=\\ \\=\sqrt{36+4}=\sqrt{40}$

The middle point of the base is placed at point

$\dfrac{4+2i+10+4i}{2}=\dfrac{6i+14}{2}=7+3i$

The length of the height is the distance between the points 5+9i and 7+3i

$\text{Height}=|5+9i-(7+3i)|=|5+9i-7-3i|=|-2+6i|=\sqrt{(-2)^2+6^2}=\\ \\=\sqrt{4+36}=\sqrt{40}$

So, the area of the triangle is

$A=\dfrac{1}{2}\cdot \text{Base}\cdot \text{Height}=\dfrac{\sqrt{40}\cdot \sqrt{40}}{2}$

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2 years ago

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NikAS [45]

Answer:

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3 years ago

Home heating oil is sold by the gallon. Last winter the romano family used 370 gallons of oil at a price of $3.91 per gallon. If

shusha [124]

($3.91)(0.09) = $0.3519

$3.91 + 0.3519 = $4.2619 per gallon

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Step-by-step explanation:

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3 years ago