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2 years ago

What is the value of p in this proportion?

1 answer:

4 0

<em>If the formatting should be </em> $\frac{\frac{5}{6} }{p} =\frac{\frac{2}{3} }{\frac{1}{2} }$ <em>, then this should be correct.</em>

Answer:

p = $\frac{5}{8}$

Step-by-step explanation:

$\frac{\frac{5}{6} }{p} =\frac{\frac{2}{3} }{\frac{1}{2} }$ [Given]

$\frac{5}{6} *\frac{1}{p} =\frac{\frac{2}{3} }{\frac{1}{2} }$ [Keep, change, and flip on the left side]

$\frac{5}{6} *\frac{1}{p} =\frac{2}{3}*2}$ [Keep, change, and flip on the right side]

$\frac{5}{6} *\frac{1}{p} =\frac{4}{3}}$ [Simplify the right side]

$\frac{5}{6p}=\frac{4}{3}}$ [Simplify the left side]

6p * 4 = 5 * 3 [Cross multiply]

24p = 15 [Simplify]

p = $\frac{15}{24}$ [Divide both sides by 24]

p = $\frac{15/3}{24/3}$ [Simplify the fraction]

p = $\frac{5}{8}$ [Answer]

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Which transformations have been applied to the graph of f(x) = x2 to produce the graph of g(x) = –5x2 + 100x – 450? Check all th

madam [21]

Consider the function $g(x) =-5x^2 + 100x- 450$ . First you need to simplify it by expressing the perfect square:

$g(x) =-5x^2 + 100x- 450=-5(x^2-20x+90)=-5(x^2-2\cdot x\cdot 10+10^2-10^2+90)=-5((x-10)^2-100+90)=-5(x-10)^2+50.$

So you get $g(x) =-5(x-10)^2+50$ .

Now you can consider all transformations that have been applied to the graph of $f(x) = x^2$ to produce the graph of g(x):

translate the graph of the function $f(x)$ right 10 units - this transformation gives you the graph of the function $f_1(x)=(x-10)^2$ ;
reflect graph of the function $f_1(x)$ about the x-axis. This transformation gives you the graph of the function $f_2(x)=-(x-10)^2$ ;
stretch the graph of the function $f_2(x)$ in the y-direction by multiplying the whole function by 5, then you get the function $f_3(x)=-5(x-10)^2$ ;
translate the graph of the function $f_3(x)$ up 50 units, then you get the graph of the function $g(x) =-5(x-10)^2+50$ .

From the algorithm above you can conclude that choices B, E and F are correct.

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4 years ago

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4 years ago

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4 years ago

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Anni [7]

Answer:

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2. Right

Step-by-step explanation:

Here, we want to give the kind of triangle in each of the diagrams

1. From what we can see, we have two sides equal to each other using the given markings. More specifically, the base sides are equal and that makes the triangle an isosceles triangle

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This makes the triangle, a right triangle

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