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2 years ago

8

Right triangle similarity: Solve for x and y

1 answer:

OleMash [197]2 years ago

7 0

Answer:

x=4 $\sqrt{5}$ ,y=8 $\sqrt{5}$

Step-by-step explanation:

sin∠SRT = sin∠TSV,

SO $\frac{x}{20} =\frac{4}{x}$ , $x^{2}$ =80,x= $\sqrt{80} =4\sqrt{5}$ ;

In the same way:

sin∠RSV = sin∠RTS,

SO $\frac{16}{y} =\frac{y}{20}$ ， $y^{2}$ =320,y=8 $\sqrt{5}$

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2 years ago

Read 2 more answers

Graph each absolute value function. State the domain, range, and y-intercept.

grandymaker [24]

Answer:

i) D: All real numbers

ii) R: $y\le5$

iii) Y-int: b=2

Step-by-step explanation:

i) The given absolute value function is

$y=-|x+3|+5$

The domain is all values of x that makes the function defined.

The absolute value function is defined for all values of x.

The domain is all real numbers.

ii) The given function is $y=-|x+3|+5$

The function has vertex $(-3,5)$ .

The function is reflected in the x-axis.

This means the vertex is the maximum point on the graph of the function.

The maximum y-value is 5.

The range is therefore $y\le 5$ or $(-\infty,5]$

iii) To find the y-intercept, put $x=0$ into the function.

$y=-|0+3|+5$

$y=-|3|+5$

$y=-3+5$

$y=2$

The y-intercept is (0,2) or $b=2$

See attachment for graph.

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3 years ago

Three even numbers sum up to 162. the smallest is half the largest and the middle number is 3/4 the largest. what are the three

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Lets name the largest number as x
smallest number is half the largest , therefore its x/2 = 0.5x
then middle number is 3/4 the largest , therefore its 3/4x = 0.75x
the sum of the three numbers are 162
the three numbers added are
x + 0.5x + 0.75x = 162
2.25 x = 162
x = 72
the largest number is 72
then middle number 0.75 x = 0.75 x 72 = 54
smallest number is 0.5x = 0.5 x 72 = 36
answer is - 36,54,72

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Step-by-step explanation:

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