ANSWER FAST 15 points

Mathematics

2 answers:

bearhunter [10]3 years ago

3 0

Answer:

5 12 13 equals a right triangle

konstantin123 [22]3 years ago

3 0

Answer:

5 12 13

Step-by-step explanation:

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What is the gcf of 16,100

Kisachek [45]

The Greatest Common Factor of 16, 100 is 4.

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3 years ago

write an equation that represents the proportional relationship between oil and vinegar explain the meaning of the point

Kitty [74]

To write and equation we call y=oil and x=vinager, so:

$\begin{gathered} y=k\cdot x \\ \text{Where k is some constant of proportionality} \end{gathered}$

To find the constant k we can use the point in the picture (vinager, oil) = (x, y) = (1, 1.5), so:

$\begin{gathered} x=1,y=1.5 \\ 1.5=k\cdot1\Rightarrow k=1.5 \end{gathered}$

So, the equation is:

$y=1.5x$

Now, the meaning of the point (1, 1.5) is for 1 amount of vinager you need 1.5 amount of oil.

6 0

1 year ago

The length of a line segment is 7. Its end points are (1, 3) and (k, 3). Solve for k. Is there more than one solution? Explain.

Brilliant_brown [7]

$Endpoints:\\\\A(1,3)\ and\ B(k,3)\\\\Formula\ for\ length\ of\ line:\\\\
|AB|=\sqrt{(x_b-x_a)^2+(y_b-y_a)^2}\\\\
|AB|=7\\\\7=\sqrt{(k-1)^2+(3-3)^2}\\\\
7=\sqrt{k^2-2k-1}\ \ |^2\\\\
49=k^2-2k-1
$ $49=k^2-2k-1\\\\
-k^2+2k+1+49=0\\\\
-k^2+2k+50=0\\\\ \Delta=b^2-4ac\\\\a=-1,\ b=2,\ c=50 \\\\\Delta=(2)^2-4*(-1)*50=4-=4+200=204\\\\ \sqrt{\Delta}=2\sqrt{51}$ $\\\\k_1=\frac{-b-\sqrt{\Delta}}{2a}\ \ k_1=\frac{-2-2\sqrt{51}}{2*(-1)}=1+\sqrt{51} \\\\\ or\ k_2=\frac{-b+\sqrt{\Delta}}{2a}\ \ k_1=\frac{-2+2\sqrt{51}}{2*(-1)}=1-\sqrt{51}$