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bazaltina [42]
2 years ago
7

What’s the slope? a line has the given equation y=-3x-10

Mathematics
2 answers:
astra-53 [7]2 years ago
8 0

Answer: slope= -6.0/2.0= -3.0

Step-by-step explanation:

Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is -10.000 and for x=2.000, the value of y is -16.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of -16.000 - (-10.000) = -6.000 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

x-intercept = -10/3 = -3.33333

 y-intercept = -10/1 = -10.00000

spayn [35]2 years ago
5 0
Answer: -3

Step by Step Explanation: This type of equation is called slope-intercept form, y=mx+b; the slope is m, so the slope is -3
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Find the area of a regular octagon with a side length of 4 cm.​
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77.25 cm^2

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2 years ago
A soccer ball is kicked from 3 feet above the ground. the height,h, in feet of the ball after t seconds is given by the function
dexar [7]
Here's our equation.

h=-16t+64t+3

We want to find out when it returns to ground level (h = 0)

To find this out, we can plug in 0 and solve for t.

0 = -16t+64t+3 \\ 16t-64t-3=0 \\ use\ the\ quadratic\ formula\ \frac{-b\±\sqrt{b^2-4ac}}{2a}  \\ \frac{-(-64)\±\sqrt{(-64)^2-4(16)(-3)}}{2*16}  = \frac{64\±\sqrt{4096+192}}{32}

= \frac{64\±\sqrt{4288}}{32} = \frac{64\±8\sqrt{67}}{32} = \frac{8\±\sqrt{67}}{4} = \boxed{\frac{8+\sqrt{67}}{4}\ or\ 2-\frac{\sqrt{67}}{4}}

So the ball will return to the ground at the positive value of \boxed{\frac{8+\sqrt{67}}{4}} seconds.

What about the vertex? Simple! Since all parabolas are symmetrical, we can just take the average between our two answers from above to find t at the vertex and then plug it in to find h!

\frac{1}2(\frac{8+\sqrt{67}}{4}+2-\frac{\sqrt{67}}{4}) = \frac{1}2(2+\frac{\sqrt{67}}{4}+2-\frac{\sqrt{67}}{4}) = \frac{1}2(4) = 2

h=-16t^2+64t+3 \\ h=-16(2)^2+64(2)+3 \\ \boxed{h=67}


8 0
3 years ago
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lilavasa [31]
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For number 2, the answer is A) If you flip a coin 800 times, heads will come up about 400 times. This is because the law of large numbers says that as the number gets larger the ratio will get closer to 1:1. This means that since the coin only has 2 sides, it is about 50/50, meaning that of 800, 400 would be heads and 400 would be tails.
Hope this helps! :D
3 0
3 years ago
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