What is the slope intercept form of 16x+2y=12

1 answer:

8 0

So the slope intercept form is y=mx+b where m is slope and b is y intercept

so 16x+2y=12
subtract 16x from both sides
2y=12-16x
divide both sides by 2
y=-8x+6
slope is -8 and y intercept is 6

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The area of the scale model of a playground is 6 square yards. The scale model is enlarged by a scale factor of 3 to create the

LenaWriter [7]

Answer:

The area of the actual playground is $54\ yd^{2}$

Step-by-step explanation:

we know that

If two figures are similar, then the ratio of its areas is equal to the scale factor squared

let

z------> the scale factor

x------> the area of the actual playground

y-----> the area of the scale model of a playground

$z^{2}=\frac{x}{y}$

we have

$z=3$

$y=6\ yd^{2}$

substitute and solve for x

$3^{2}=\frac{x}{6}$

$x=9*6=54\ yd^{2}$

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B.) 69.08 mm^2
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Write the equation of the hyperbola with foci at (1, 5) and (7, 5) and with vertices at (2, 5) and (6, 5).

mash [69]

If you plot the points given on a coordinate plane you see that this is a hyperbola that is is horizontal in nature, meaning it opens side to side, not up and down. We can determine the center of it by taking the point equidistant from the vertices, which is (4, 5), the h and k of our center, respectively. Also, the equation looks like this when it is horizontal: $\frac{(x-h) ^{2} }{ a^{2} } - \frac{(y-k) ^{2} }{ b^{2} } =1$ . a is the distance between the center and the vertices, so our a = 2, and c is the distance between the center and the foci, so our c = 3. We need to find b now, using Pythagorean's theorem. $( 2)^{2} + b^{2} =( 3)^{2}$ and $b= \sqrt{5}$ . Now we have everything we need to rewrite the equation: $\frac{(x-4) ^{2} }{4} - \frac{(y-5) ^{2} }{5} =1$