Aproxima a las unidades de mil y obtén los resultados estimados

Mathematics

1 answer:

zhenek [66]3 years ago

4 0

Answer:

Step-by-step explanation:

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If (x-y)^2=100 and xy=20. what's the value of x^2+y^2?

ahrayia [7]

$(x-y)^2=x^2-2xy+y^2=(x^2+y^2)-2(xy)\\\\\text{We have}\ (x-y)^2=100\ \text{and}\ xy=20.\\\\\text{Substitute}\\\\100=(x^2+y^2)-2(20)\\100=(x^2+y^2)-40\qquad\text{add 40 to both sides}\\\\140=(x^2+y^2)\\\\Answer:\ \boxed{x^2+y^2=140}$

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almond37 [142]

y=-3/4x-3 is the equation

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Which number line represents all of the values of x for the equation x2 = 100

Hitman42 [59]

x^2 = 100...by taking the square root of both sides, this eliminates the ^2

x = (+-) sqrt 100

x = (+-) 10

so the values of x are -10 and 10

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A line with a slope of 8 passes through the points (-1,1) and (0,k). What is the value of k?

Diano4ka-milaya [45]

Answer:

k = 9

Step-by-step explanation:

Calculate the slope m using the slope formula and equate to 8

m = $\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

with (x₁, y₁ ) = (- 1, 1) and (x₂, y₂ ) = (0, k)

m = $\frac{k-1}{0+1}$ = k - 1 = 8 ( add 1 to both sides )

k = 9

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12345 [234]

An x-intercept is namely a "solution" or "zero" or "root" often called, and when that happens, y = 0, just like with any other x-intercept.

$\bf ~~~~~~\textit{parabola vertex form}
\\\\
\begin{array}{llll}
\boxed{y=a(x- h)^2+ k}\\\\
x=a(y- k)^2+ h
\end{array}
\qquad\qquad
vertex~~(\stackrel{}{ h},\stackrel{}{ k})\\\\
-------------------------------\\\\
\begin{cases}
h=3\\
k=-2
\end{cases}\implies y=a(x-3)^2-2
\\\\\\
\textit{we also know that }
\begin{cases}
x=0\\
y=7
\end{cases}\implies 7=a(0-3)^2-2
\\\\\\
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so what is its x-intercept anyway?

$\bf \stackrel{y}{0}=(x-3)^2-2\implies 2=(x-3)^2\implies \pm\sqrt{2}=x-3
\\\\\\
\pm\sqrt{2}+3=x\qquad therefore\qquad (\pm\sqrt{2}+3~~~~,~~~~0)$

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3 years ago