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3 years ago

What is the equation of the line, in point slope form, that passes through the points (4,8) and (2,-2)

Mathematics

1 answer:

Solnce55 [7]3 years ago

8 0

Answer:

Step-by-step explanation:

1) point slope form is:

y-y1=m(x-x1)

y1=8

x1=4

m=(slope)

to find m: y2-y1/x2-x1

hence

-2-8/2-4=-10/-2=5

m=5:

y-8=5(x+4)

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Select the correct answer from each drop-down menu. In the figure, . Angles are congruent . ∠GAC ≅ ∠AFE because they are corresp

Hoochie [10]

Answer:

∠GAC ≅ ∠HFD by the Property of Congruence.

Step-by-step explanation:

I'm going to be honest the question is a little confusing cause of the beginning, but if you're looking for which angles are actually congruent it's ∠GAC ≅ ∠HFD

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2 years ago

If a and b are real numbers and if y = ax + b is a direct variation equation, what do you know about a and b?

Alenkasestr [34]

y = ax + b
We observe that the given equation is the generic equation of a line.
Where,
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3 years ago

Write an equation that passes through a pair of points

Phoenix [80]

Answer:

C. $y = -x + 2$

Step-by-step explanation:

First, find the slope, m, of the line that passes through the two given points.

Slope = $\frac{rise}{run} = \frac{-2}{2} = -\frac{1}{1} = -1$

Next, determine the y-intercept, b.

The y-intercept is where the line intercepts the y-axis. The line intercepts the y-axis at y = 2. Therefore, b = 2.

Now, to get an equation of the line, substitute m = -1, and b = 2 in $y = mx + b$ .

✅The equation would be:

$y = -1x + 2$

$y = -x + 2$

3 0

2 years ago

Someone answer this please

lions [1.4K]

Answer:

$1,334.5 \: {cm}^{3}$

Step-by-step explanation:

Height of the cylinder h = 17 cm

Radius of the cylinder r = 5 cm

$V_{cylinder} = \pi {r}^{2} h \\ \\ = 3.14 \times {(5)}^{2} \times 17 \\ \\ = 3.14 \times 25 \times 17 \\ \\V_{cylinder} = 1,334.5 \: {cm}^{3}$

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3 years ago

Find the general solution of the differential equation and check the result by differentiation. (Use C for the constant of integ

tensa zangetsu [6.8K]

Answer:

$y=3t^9+C$

Step-by-step explanation:

Given: $\dfrac{dy}{dt}=27t^8$

We want to obtain the general solution of the given differential equation.

$dy=27t^8$ dt\\$Take the integral of both sides\\\int dy =\int 27t^8$ dt$\\y=\dfrac{27t^{8+1}}{8+1} +C$, (where C is the constant of integration)$\\y=\dfrac{27t^{9}}{9} +C\\\\y=3t^9+C$

The general solution of the differential equation is: $y=3t^9+C$

CHECK:

$\dfrac{d}{dt} y=\dfrac{d}{dt}(3t^9+C)=\dfrac{d}{dt}(3t^9)+\dfrac{d}{dt}(C)\\\\\text{Since derivative of a constant is zero}\\\\\dfrac{dy}{dt}=27t^{9-1}\\\dfrac{dy}{dt}=27t^8$

4 0

3 years ago