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IRINA_888 [86]
2 years ago
13

write an equation in slope-intercept form for the line that passes through (-2,5) and is perpendicular to the line described by

y=-2x+6
Mathematics
1 answer:
Rama09 [41]2 years ago
4 0

Answer:

<h2>         y = ¹/₂x + 6</h2>

Step-by-step explanation:

The product of slopes of perpendicular lines is -1

y = - 2x + 6  ⇒   m₁ = - 2

m₁m₂ = -1

-2m₂ = -1

m₂ = ⁻¹/₋₂ = ¹/₂

The Point-Slope form of equation of a line with slope of "m" and passing through point (x₁, y₁) is:  y - y₁ = m(x - x₁)

m = ¹/₂

(-2, 5)  ⇒  x₁ = -2,  y₁ = 5

So the equation in point-slope form:

                                                  y - 5 = ¹/₂(x - (-2))

Therefore:

y - 5 = ¹/₂x + 1

y = ¹/₂x + 1 + 5

<h3>y = ¹/₂x + 6</h3>
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svet-max [94.6K]

Answer:

Step-by-step explanation:

Point slope form: y−7=34(x−3)

Slope intercept form: y=34x+194..or..y=34x+434

Explanation:

Since you have one point and the slope, you can use the point slope formula, then solve for y to get the slope intercept form, so that you can determine the y-intercept (b). Then you can graph the resulting equation.

Point slope formula

y−y1=m(x−x1), where x1,y1=(3,7), and m=34 is the slope.

Substitute the given values into the formula.

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3 years ago
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snow_tiger [21]

Answer:

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Step-by-step explanation:

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In the following problem, check that it is appropriate to use the normal approximation to the binomial. Then use the normal dist
Tcecarenko [31]

Answer:

a. 0.7291

b. 0.9968

c. 0.7259

Step-by-step explanation:

a. np and n(1-p) can be calculated as:

np=23\times 0.48\\\\=11.04\\\\n(1-p)=23(1-0.52)\\\\=11.96

#Both np and np(1-p) are greater than 5, hence, normal approximation is most appropriate:

\mu_x=11.04\\\\\sigma^2=np(1-p)=0.48\times 0.52\times 23=5.7408

#Define Y:

Y~(11.04,5.7408)

P(X\leq 12)\approx P(Y\leq 12.5)\\\\P(Z\leq \frac{(12.5-11.04)}{\sqrt{5.7408}})=\\\\=1-0.2709\\\\=0.7291

Hence, the probability of 12 or fewer is 0.8291

b. The  probability that 5 or more fish were caught.

#Using normal approximation:

P(X \geq 5) \approx P(Y \geq 4.5) = P(Z \geq\frac{ (4.5-11.04)}{\sqrt{(5.7408)}})\\\\=1-0.0032\\\\=0.9968

Hence, the probability of catching 5+ is 0.9968

c. The probability of between 5 and 12 is calculated as;

-From b above P(X\geq 5)=0.9968 and a ,P(X\leq 12)=0.7291

P(5\leq X\leq 120\approx P(4.5\leq Y\leq  12.5)\\\\=0.7291-(1-0.9968)\\\\=0.7259

Hence, the probability of between 5 and 12 is 0.7259

4 0
3 years ago
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Nesterboy [21]

Answer:

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Answer:

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Step-by-step explanation:

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We know that when we left side of zero on a number line then the values decrease and we go right side of zero then the value increases.

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b.0,2,-5,6,-8

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Therefore, it is false.

c.-5,-8,0,2,6

It is false.

d.0,-8,-5,2,6

It is false.

Option a is true,

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