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svlad2 [7]
3 years ago
15

Write an equation in point-slope form of the line that passes through the given point and with the given slope m.

Mathematics
2 answers:
denis23 [38]3 years ago
7 0

Answer:

y = 4x + 39

Step-by-step explanation:

  • The line passes through point (-8,7) and;
  • Has a slope (m) = 4

Let's take another point (x,y) on the line.

Slope (m) = change in y ÷ change in x

∴ m = \frac{y - 7}{x - -8} = 4

y = 4x + 32 + 7

y = 4x + 39

Svetach [21]3 years ago
5 0

Step-by-step explanation:

y-y1=m(x-x1)

y-7=4(x+8)

y-7=4x+32

4x-y=-39

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3 years ago
Point F is on circle C. What is the length of line segment GF?
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The answer:
the full question is as follow:
<span>Point F is on circle C. What is the length of line segment GF?

12.5  units
15.0  units
17.5  units
20.0  units

according to the image, GF= GC + CF

CF is the radius of the circle, so it is CF =CE = 7.5
all that we want to find is the value of GC
let's consider the triangle GEC. This is a right triangle, so for finding GC, we can apply Pythagorean theorem

that is, GE² + EC² = GC², and from this, we have GC = sqrt(</span>GE² + EC² )

GC = sqrt(10² + 7.5² )=sqrt(56.25)=12.5
<span>
therefore, </span>GF= GC + CF=12.5 + 7.5 = 20.0
the answer is 20.0  units

8 0
3 years ago
Read 2 more answers
Assume that a policyholder is four times more likely to file exactly two claims as to file exactly three claims. Assume also tha
kykrilka [37]

Answer:

1.3125

Step-by-step explanation:

Given that our random variable X follows a Poisson distributionP(X=k)=\frac{\lambda^k e^-^p}{k!} \ \ \ \ \ \ \ \ p=\lambda

Evaluate the formula at k=2,3:

P(X=2)=0.5\lambda^2e^{-\lambda}\\\\P(X=3)=\frac{1}{6}\lambda^2e^{-\lambda}

#since

4P(X=2)=P(X=3);\\\\0.5\lambda^2e^{-\lambda}=4\times\frac{1}{6}\lambda^3e^{-\lambda}\\\\0.5\lambda^2=\frac{2}{3}\lambda^3\\\\0.75=\lambda

The mean and variance of the Poisson distributed random variable is equal to \lambda:

\mu=\lambda=0.75\\\sigma ^2=\lambda=0.75

#By property variance:

\sigma ^2=V(X)=E(X^2)-(E(X))^2=E(X^2)\\\\E(X^2)=\sigma^2+\mu^2=0.75+0.75^2=1.3125

The expectation is 1.3125

4 0
3 years ago
Write an integer to describe:The stock market increased 75 points
vladimir1956 [14]
The stock market increased 75 point: = +75 or 75
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What does mx+b stand for
S_A_V [24]

Answer:

thats the equation for slope-intercept form

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