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3 years ago

Write the line equation for the line passing through the points (8, 3) and (12, -1).

Mathematics

1 answer:

Aneli [31]3 years ago

4 0

Answer:

Line equation is y=-x+11

The product of the slope and the y-intercept is -11

Step-by-step explanation:

Use the slope formula to find the slope of the equation.

yvalue2 minus yvalue1 /xvalue 2 minus xvalue1

-1-3/12-8=-1

The slope is -1.

Now, use the slope-intercept formula to find the y-intercept

y-3=-1(x-8)

y-3=-x+8

y=11

The equation is y=-x+11

The product of the slope and the y-intercept is -1(11)=-11

Hope this helps.

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Slope = 1/5 y-intercept =-5

Novay_Z [31]

Answer:

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3 years ago

If the perimeter of one face of a cube is 22.4 cm, determine, to the nearest hundredth, its lateral surface area. *

mr Goodwill [35]

22.4/4 = 5.6 cm

5.6^2 = 31.36 cm^2 per side

Since the later surface area only counts for 4/6 sides on the cube, (31.36)(4) = 125.44 cm^2

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3 years ago

Enter the value of x that makes the equation - 15(x + 11) + 14x = -60 true.

eimsori [14]

Answer:x=-105

Step-by-step explanation:-15x-165+14x=-60<=>-15x+14x=-60+165<=>-x=105<=>x=-105

8 0

3 years ago

The two hexagonal pyramids are similar.

spayn [35]

Answer: The approximate surface area of the larger pyramid is 159.31 ft².

Step-by-step explanation:

A pyramid is a solid,

And, When two solids are similar then the ratio of their surface area is the square of the scale factor of similarity.

Here, the scale factor of similarity

$=\frac{\text{Height of larger pyramid}}{\text{Height of smaller pyramid}}$

$=\frac{15}{6}$

Thus, by the above property,

$\frac{\text{ The surface area of larger pyramid}}{\text{The surface area of the smaller pyramid}}=(\frac{15}{6})^2$

It is given that, the smaller pyramid has a surface area of 25.49 ft²,

$\implies \frac{\text{ The surface area of larger pyramid}}{25.49}=\frac{225}{36}$

$\text{ The surface area of larger pyramid} = \frac{25.49\times 225}{36}$

$=\frac{5735.25}{36}$

$=159.3125\approx 159.31\text{ square ft}$

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3 years ago

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Which equation is y= 2x ^2 - 8x +9 rewritten in vertex form.

REY [17]

vertex form wow tht's advance um i'll say what you wrote up there is the answer

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3 years ago

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