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3 years ago

What is the point-slope form of the equation of a line that passes through the point (6, −8) and has a slope of −2?

1 answer:

5 0

$General\ equation\ for\ line\ in\ slope\ intercept\ form:\\\\y=ax+b\\\\
a-\ slope\\a=-2\\\\y=-2x+b\\\\Substitute\ point\ (6,-8)\\\\
-8=-2*6+b\\
-8=-12+b\ \ \ |Add\ 12\\
4=b\\\\
Equation\ of\ line:\\
y=-2x+4.$

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3 years ago

A sphere has a radius of 15 m. If the radius is divided by 5, what is the effect on the surface area?

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3 years ago

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2 years ago

Read 2 more answers

20. A ball is dropped from a height of a little over 5 feet, and the height is measured at small intervals. The table below show

nekit [7.7K]

Step 1:

a) Write the quadratic model

a = -15.64

b = -1.24

c = 5.23

$P(t)=-15.64t^2\text{ - 1.24t + 5.2}3$

b) t = 0.30

$\begin{gathered} P(t)=-15.64t^2\text{ - 1.24t + 5.2}3 \\ =\text{ -15.64 }\times0.3^2\text{ - 1.24}\times\text{ 0.3 + 5.2}3 \\ =\text{ -1.4076 - 0.372 + }5.23 \\ =\text{ 3.45} \end{gathered}$

c) t = 0.52 seconds

$\begin{gathered} p(t)=-15.64t^2\text{ - 1.23t + 5.23} \\ =\text{ -15.64}\times0.52^2\text{ - 1.23}\times0.52\text{ + 5.23} \\ =\text{ -4.23 - 0.64 + 5.23} \\ =\text{ 0.36} \end{gathered}$

d) 0.30 is more likely to be relaible.

$\begin{gathered} p(t)\text{ = 1} \\ p(t)=-15.64t^2\text{ - 1.23t + 5.23} \\ 1=-15.64t^2\text{ - 1.23t + 5.23} \\ -15.64t^2\text{ - 1.23t + 4.23 = 0} \\ t\text{ = 0.48222} \\ \text{t = 0.48 seconds} \end{gathered}$

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1 year ago

1/f - 1/u = 1/v then f

german

Answer:

1/V

Step-by-step explanation:

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3 years ago