3 years ago

Find the yy-intercept of the equation y=(x−5)2+2.

Mathematics

1 answer:

BaLLatris [955]3 years ago

5 0

Y-intercept: (0,-8)

Hope this helps!!!!

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Simplify (7x-1)(2x+5)

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$\text{Simplify by using FOIL}\\\\\text{(First, Outside, Inside, Last}\\\\\text{Solve:}\\\\(7x-1)(2x+5)\\\\(7x)(2x)+(7x)(5)+(-1)(2x)+(-1)(5)\\\\14x^2+35x-2x-5\\\\\text{Combine like terms}\\\\\boxed{14x^2+33x-5}$

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3 years ago

Read 2 more answers

Suppose y varies directly as x and y=21 when x=7. which is an equation relating x and y

astra-53 [7]

Y varies directly as x: y=kx, k is a constant.
when x=7, y=21, so we know k=3
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4 years ago

Find the vertices and foci of the hyperbola with equation quantity x minus 5 squared divided by 144 minus the quantity of y minu

Serjik [45]

$\bf \textit{hyperbolas, horizontal traverse axis } \\\\ \cfrac{(x- h)^2}{ a^2}-\cfrac{(y- k)^2}{ b^2}=1 \qquad \begin{cases} center\ ( h, k)\\ vertices\ ( h\pm a, k)\\ c=\textit{distance from}\\ \qquad \textit{center to foci}\\ \qquad \sqrt{ a ^2 + b ^2} \end{cases}\\\\ -------------------------------$

$\bf \cfrac{(x-5)^2}{144}-\cfrac{(y-4)^2}{81}=1\implies \cfrac{(x-5)^2}{12^2}-\cfrac{(y-4)^2}{9^2}=1 \\\\\\ \begin{cases} h=5\\ k=4\\ a=12\\ b=9 \end{cases}\implies c=\sqrt{144+81}\implies c=\sqrt{225}\implies c=15 \\\\\\ \stackrel{center}{(5,4)}\qquad \qquad \stackrel{\textit{because is a horizontal traverse hyperbola}}{\stackrel{foci}{\stackrel{(5\pm 15,4)}{(20,4),(-10,4)}}\qquad \qquad \stackrel{vertices}{\stackrel{(5\pm 12,4)}{(17,4),(-7,4)}}}$

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3 years ago

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pav-90 [236]

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2,640

Step-by-step explanation:

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3 years ago

Write a percent proportion where the part and the whole are known. Solve the problem to find the percent.Show your work, and exp

valkas [14]

Answer:

what % 65 is 13

Step-by-step explanation:

13/65 = x/100

13 x100

65x = 1,300

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3 years ago