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elena-14-01-66 [18.8K]
3 years ago
7

What is the equation of the line that has a slope of -5/3 and a y-intercept of −2?

Mathematics
1 answer:
Serhud [2]3 years ago
3 0

Answer:

y= -5/3x-2

Step-by-step explanation:


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What is the area, please help me!
exis [7]

Answer:

30ft2. (C.)

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Christopher invests $5,000 after 20 years at 2% interest, how much did he earn in interest?
umka2103 [35]

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At the end of 20 years, your savings will have grown to $16,036. You will have earned in $11,036 in interest.

Step-by-step explanation:

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Triangle ABC has a perimeter of 22cm.
Paha777 [63]
First let's find the length of the last side. We can do this by adding AB and BC together, then subtracting this amount from the perimeter of Triangle ABC, 22 cm.
ABC - (AB + BC) ⇒ 22cm - (8cm + 5cm)
                                    22cm - 13cm = 9cm

The hypotenuse is always the longest side of a triangle, so we know that the side we figured out is the hypotenuse. Now we can use the Pythagorean Theorem to see whether the triangle is a right triangle.

Pythagorean Theorem: a² + b² = c², where a and b are legs and c is the hypotenuse.
If a² + b² do equal c², then the triangle is a right triangle.

8² + 5² = 9²
64 + 25 = 81
89 > 81

The triangle is not a right triangle, but we know that it is obtuse since a and b together are longer than c.
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3 years ago
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2.1 & 2.2 Assessment: Vertex & Standard Form of Quadratic Functions
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~~~~~~\textit{vertical parabola vertex form} \\\\ y=a(x- h)^2+ k\qquad \begin{cases} \stackrel{vertex}{(h,k)}\\\\ \stackrel{"a"~is~negative}{op ens~\cap}\qquad \stackrel{"a"~is~positive}{op ens~\cup} \end{cases} \\\\[-0.35em] ~\dotfill

\begin{cases} h=1\\ k=-9 \end{cases}\implies y=a(x-1)^2 - 9\qquad \textit{we also know that} \begin{cases} x=2\\ y=-7 \end{cases} \\\\\\ -7=a(2-1)^2-9\implies 2=a(1)^2\implies 2=a \\\\[-0.35em] ~\dotfill\\\\ ~\hfill {\Large \begin{array}{llll} y=2(x-1)^2 -9 \end{array}} ~\hfill

6 0
11 months ago
X^2 -9X = 0. Factor and use the Zero property to solve
Veseljchak [2.6K]
The first step of factoring is to try to factor out a common factor.
The terms x^2 and -9x have the factor x in common.
Factor out x from both terms.

x^2 - 9x = 0

x(x - 9) = 0

Now you have a product of fully factored terms equaling zero, so you can apply the zero product property to solve.

x = 0   or   x - 9 = 0

x = 0   or   x = 9

Answer: x = 0 or x = 9
5 0
2 years ago
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