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butalik [34]
3 years ago
6

Find the distance of ST given, S ;-2,4) and T (4,1)

Mathematics
1 answer:
Angelina_Jolie [31]3 years ago
8 0
You have to use the distance formula which is:

Distance = √(x2 - x1)^2 + (y2 - y1)^2

Using the coordinates given.

D = √(4 - (-2)^2 + (1 - 4)^2

D = √(6)^2 + (-3)^2

D = √36 + 9

D = √45

D = √9 × 5

D = 3√5
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Simplify this expression : 2(y+z)
kap26 [50]

Answer:2y + 2z

Step-by-step explanation: you need to multiply the number outside of the parenthesis with the one inside like.

6 0
3 years ago
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Z varies directly with x and inversely with y. When x=6 and y=2, .z=15. Write function that models variation. Then, find z when
tester [92]
\bf \begin{array}{cccccclllll}
\textit{direct proportional variation}\\\\\textit{something}&&\textit{varies directly to}&&\textit{something else}\\ \quad \\
\textit{something}&=&{{ \textit{some value}}}&\cdot &\textit{something else}\\ \quad \\
y&=&{{ k}}&\cdot&x
\\
&&  y={{ k }}x
\end{array}\\ \quad \\


\bf \textit{inverse proportional variation}\\\\
\begin{array}{llllll}
\textit{something}&&\textit{varies inversely to}&\textit{something else}\\ \quad \\
\textit{something}&=&\cfrac{{{\textit{some value}}}}{}&\cfrac{}{\textit{something else}}\\ \quad \\
y&=&\cfrac{{{\textit{k}}}}{}&\cfrac{}{x}
\\
&&y=\cfrac{{{  k}}}{x}
\end{array}


\bf \\\\
-------------------------------\\\\
\textit{z varies directly with x}\implies z=kx
\\\\
\textit{and inversely with y}\implies z=\cfrac{kx}{y}
\\\\\\
\textit{we also know that}\quad 
\begin{cases}
x=6\\
y=2\\
z=15
\end{cases}\implies 15=\cfrac{k\cdot 6}{2}\implies 30=6k

\bf \cfrac{30}{6}=k\implies \boxed{5=k}\impliedby \textit{constant of variation}
\\\\\\
thus\implies z=\cfrac{5x}{y}\\\\
-------------------------------\\\\
\textit{what's "z" when }
\begin{cases}
x=4\\
y=9
\end{cases}\implies z=\cfrac{5\cdot 4}{9}
4 0
4 years ago
Compute a value for y that satisfies the equation below. <br><br> -3y - 12 = -4
lesantik [10]
First, add 12 to both sides of the equation,
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Then, divide both the left hand and right hand sides of the equation by -3
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The value of y is therefore,
                                         y = -8/3
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Hom0zygous means that the....
ankoles [38]

Answer:

this right answer for this would be D

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