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3 years ago

What is the sum of the finite arithmetic series? (–5) + 0 + 5 + 10 + ... + 65 A. 900 B. 455 C. 450 D. 445

Mathematics

1 answer:

Julli [10]3 years ago

4 0

Answer:

The answer is C.450

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juan bought supplies for his new gecko. He bought four plants for p dollars each. He also bought a 10-gallon tank for $10 and a

murzikaleks [220]

Cost of 1 plant = $ p

Cost of 4 plants = $(4p)

Cost of a 10-gallon tank = $10

Cost of a water dish = $3

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4 years ago

What’s the answer to b) please

Anettt [7]

Answer:

145

Step-by-step explanation:

A+B=180

so,180-35=145.

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Find the altitude of triangle whose vertex is a(1,-2) and the equation of the base is X+y=3.

Sophie [7]

Answer:

$2\sqrt {2}$

Step-by-step explanation:

<u>Distance From a Point to a Line</u>

Given a line with an equation :

ax + by + c = 0

And the point $(x_0,y_0)$

The distance from the line to the point is given by

$\displaystyle d=\frac {|ax_{0}+by_{0}+c|}{\sqrt {a^{2}+b^{2}}}$

The triangle has a vertex at (1,-2) and the base lies on the equation

x + y = 3

Rearranging:

x + y - 3 = 0

The altitude of the triangle is the distance from the point to the line.

The values to use in the formula of the distance are: a=1, b=1, c=-3, xo=1, yo=-2:

$\displaystyle d=\frac {|1*1+1*(-2)-3|}{\sqrt {1^{2}+1^{2}}}$

$\displaystyle d=\frac {|1-2-3|}{\sqrt {2}}$

$\displaystyle d=\frac {4}{\sqrt {2}}$

Rationalizing:

$\displaystyle d=\frac {4}{\sqrt {2}}\cdot\frac{\sqrt {2}}{\sqrt {2}}$

$\displaystyle d=2\sqrt {2}$

The altitude of the triangle is $\mathbf{4\sqrt {2}}$

6 0

3 years ago