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4 years ago

Here is a table of values y = f(x)

Mathematics

1 answer:

Rama09 [41]4 years ago

4 0

A. Yes, the value of this function is 8 when x is 15.

B. False. I noted right away that the ordered pair (0,5) is not included, and some of the ordered pairs included do not represent the given function.

C. Yes, f(5) = 6. See (A) above.

D. False. The range of this function is the set of integers between 5 and 13 inclusive.

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The ladder to the slide is 21 feet high. how long is the slide

Yuliya22 [10]

To find the slide we can us the pythagorical theorem that say:

$h=\sqrt[]{l^2_1+l^2_2}$

Where l1 and l2 iare the leg of the triangle so in our problem will be:

$\begin{gathered} h=\sqrt[]{28^2+21^2} \\ h=\sqrt[]{784+441} \\ h=\sqrt[]{1225} \\ h=35 \end{gathered}$

So the slide is 35 ft

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3 years ago

Add and round the answer to the nearest THOUSANDTHS place value<br><br> 191.007+0.8215

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191.829

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What is the perimeter of a triangle with vertices of (5,1) (-3,3) (-7,-3)

timurjin [86]

$Vertices:\\
A(5,1)\\B(-3,3)\\C(-7,-3)\\\\ You\ must\ find\ length\ of\ AB,\ BC,\ AC.\\\\
A(5,1)\ \ \ \ \ \ B(-3,3)\\\\Distance\ between\ A \ and\ B:\\AB=\sqrt{(x_B-x_A)^2+(y_A-y_B)^2}\\\\AB=\sqrt{(-3-5)^2+(3-1)^2}\\AB=\sqrt{8^2+2^2}\\AB=\sqrt{64+4}\\AB=\sqrt{68}
$ $
 B(-3,3)\ \ \ \ C(-7,-3)\\\\Distance\ between\ B \ and\ C:\\BC=\sqrt{(x_C-x_B)^2+(y_C-y_B)^2}\\\\BC=\sqrt{(-7-(-3))^2+(-3-3)^2}\\BC=\sqrt{(-4)^2+(-6)^2}\\BC=\sqrt{16+36}\\BC=\sqrt{52}$ $A(5,1)\ \ \ \ \ \ C(-7,-3)\\\\Distance\ between\ A \ and\ C:\\AC=\sqrt{(x_C-x_A)^2+(y_C-y_A)^2}\\\\AC=\sqrt{(-7-5)^2+(-3-1)^2}\\AC=\sqrt{(-12)^2+(-4)^2}\\AC=\sqrt{144+16}\\AC=\sqrt{160}$ $Perimeter\ of\ triangle=\ AB+AC+BC=\\\sqrt{68}+\sqrt{52}+\sqrt{160}=2\sqrt{17}+2\sqrt{13}+2\sqrt{40}$

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