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3 years ago

These four triangles are isosceles , with AB=AC

Mathematics

1 answer:

boyakko [2]3 years ago

7 0

AB=AC=BC . .......................................................

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Which expression is equivalent to (x^4/3 x^2/3)^1/3?

KATRIN_1 [288]

Answer: $x^{\frac{2}{3} }$

Step-by-step explanation:

We have several properties of exponents in use here. The two that are used are:

$(x^{a})(x^{b}) = x^{a + b}$ (Exponents with the same base that are being multiplied together can have the exponents added)

$(x^{a})^{b} = x^{(a)(b)}$ (A base raised to a power, and then raised to another power means that you can multiply the exponents to get the same result as doing inside operations and then outside operations)

Let's apply it!

First, let's simplify what's inside the parenthesis.

$x^{\frac{4}{3} } x^{\frac{2}{3} }$ (Remember, they have the same base of "x", so we can add the exponents)

$x^{\frac{4}{3} + \frac{2}{3} }$ = $x^{\frac{6}{3} }$ = $x^{2}$

Now we have $(x^{2})^{\frac{1}{3} }$ . Let's use the second rule.

$(x^{2})^{\frac{1}{3} }$ = $x^{\frac{2}{3} }$

Hope this helps! :^)

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3 years ago

Find the equation of this line (-3,0) (0 1)

NikAS [45]

$\bf (\stackrel{x_1}{-3}~,~\stackrel{y_1}{0})\qquad (\stackrel{x_2}{0}~,~\stackrel{y_2}{1}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{1-0}{0-(-3)}\implies \cfrac{1}{0+3}\implies \cfrac{1}{3} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-0=\cfrac{1}{3}[x-(-3)] \\\\\\ y=\cfrac{1}{3}(x+3)\implies y=\cfrac{1}{3}x+1$

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2 years ago

Plz help me get the answer to these

almond37 [142]

-7p^5 + 5q + 5p^5
-2p^5 + 5q

6 0

2 years ago

Read 2 more answers

What is the length in feet of the base of the triangle?

worty [1.4K]

$\bf \textit{area of a triangle}\\\\ A=\cfrac{1}{2}bh~~ \begin{cases} b=base\\ h=height\\[-0.5em] \hrulefill\\ A=\frac{2}{5}\\ h=\frac{6}{5} \end{cases}\implies \cfrac{2}{5}=\cfrac{1}{2}b\left( \cfrac{6}{5} \right)\implies \cfrac{2}{5}=\cfrac{6b}{10}\implies \cfrac{2}{5}=\cfrac{3b}{5} \\\\\\ 10=15b\implies \stackrel{\textit{dividing both sides by 15}}{\cfrac{10}{15}=\cfrac{15b}{15}}\implies \cfrac{10}{15}=b\implies \cfrac{2}{3}=b$

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3 years ago

The equation y = 2x + 1 is a function rule. x y 0 1 2 3

Nimfa-mama [501]

Answer:

when you multypluie uwqhejqw

Step-by-step explanation:

qwveqeqweqvqeqve

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2 years ago