Select all of the right triangles.

Mathematics

1 answer:

Mariulka [41]1 year ago

3 0

Answer:

Step-by-step explanation:

Triangle ABC: 30^2 + 40^2 = 50^2 is a true statement, so by the Pythagorean theorem, this is a right triangle.

Triangle XYZ: 1^2 + 1^2 = 2^2 is a false statement, so by the Pythagorean theorem, this is not a right triangle.

Triangle EFG: 8^2 + 15^2 = 17^2 is a true statement, so by the Pythagorean theorem, this is a right triangle.

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Find the x intercept of the parabola with vertex 3,-2 and y intercept 0,7 round to the nearest hundredth

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.

$\bf ~~~~~~\textit{parabola vertex form}
\\\\
\begin{array}{llll}
\boxed{y=a(x- h)^2+ k}\\\\
x=a(y- k)^2+ h
\end{array}
\qquad\qquad
vertex~~(\stackrel{}{ h},\stackrel{}{ k})\\\\
-------------------------------\\\\
\begin{cases}
h=3\\
k=-2
\end{cases}\implies y=a(x-3)^2-2
\\\\\\
\textit{we also know that }
\begin{cases}
x=0\\
y=7
\end{cases}\implies 7=a(0-3)^2-2
\\\\\\
9=9a\implies \cfrac{9}{9}=a\implies 1=a\qquad therefore\qquad \boxed{y=(x-3)^2-2}$

so what is its x-intercept anyway?

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

5 0

2 years ago

447,077 is what more than 347,077

Natalka [10]

I believe that the answer is 100,000

7 0

2 years ago

Read 2 more answers

Please Answer this question 15 points

WINSTONCH [101]

Answer:

btw it olny 8 points but it is c