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valentinak56 [21]
3 years ago
12

The point-slope form of the equation of a line that passes through points (8, 4) and (0, 2) is y – 4 = (x – 8). What is the slop

e-intercept form of the equation for this line?
y = x – 12
y = x – 4
y = x + 2
y = x + 6
Mathematics
1 answer:
Viktor [21]3 years ago
5 0

Answer:

y = x - 4

Step-by-step explanation:

Rewrite y – 4 = (x – 8) in slope-intercept form.  To do this, solve the given equation for y:

y - 4 = x - 8  →  y = 4 + x - 8, or y = x - 4

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Which inequality represents all possible solutions of -12d2 -6?
qaws [65]

Answer:

f

Step-by-step explanation:

6 0
3 years ago
two pools are being drained.To start,the first pool had 3100 liters of water and the second had 3472 liters of water.Water is be
miss Akunina [59]
First pool: 21 liters per min so to get 3100 gone do 3100 divided by 21 which equals 147
Second pool: 33 liters per min and you have 3472 divided 33 = 105
5 0
3 years ago
birth weights in norway are normally distributed with a mean of 3570 g and a standard deviation of 500g. if the hospital officia
Svetradugi [14.3K]

Answer:

2630 g

Step-by-step explanation:

From the given information:

Given that:

mean (μ) = 3750 g

Standard deviation (σ) = 500

Suppose the hospital officials demand special treatment with a percentage of  lightest 3% (0.03) for newborn babies;

Then, the weight of birth that differentiates the babies that needed special treatment from those that do not can be computed as follows;

P(Z < z₁) = 0.03

Using the Excel Formula; =NORMSINV(0.03) = -1.88

z₁ = - 1.88

Using the test statistics z₁ formula:

z_1 = \dfrac{X-\mu}{\sigma}

-1.88 = \dfrac{X-3570}{500}

By cross multiply, we have:

-1.88 × 500 = X - 3570

-940 = X - 3570

-X = -3570 + 940

-X = -2630

X = 2630 g

Hence, 2630 g is the required weight of birth   that differentiates the babies that needed special treatment from those that do not

6 0
3 years ago
What is numrical in math and complex function?<br><img src="https://tex.z-dn.net/?f=%20%5Csqrt%7B%20-%20i%7D%20" id="TexFormula1
Arte-miy333 [17]

Answer:

Step-by-step explanation:

\sqrt{- i} =\sqrt{(-1)i} =\sqrt{i^2i} =i\sqrt{i}

6 0
2 years ago
1.If a line with a slope of -3 crosses the y-axis at (0,7), what is the equation of the line?
gogolik [260]

y = mx + b    "m" is the slope, "b" is the y-intercept (the y value when x = 0)


1. slope: -3

y-intercept: 7

y = -3x + 7

Your answer is B

y + 3x = 7   Subtract 3x on both sides

y = -3x + 7


2. y + 9(x + 3) = 0     Multiply/distribute 9 into (x + 3)

y + 9x + 27 = 0      Subtract 9x and 27 on both sides to get "y" by itself

y = -9x - 27

slope: -9

y-intercept: -27 or (0,-27)

Your answer is D


3. Point-slope form:   y - y₁ = m(x - x₁)

slope: -11

(x₁ , y₁) = (-5, 7)


y - 7 = -11(x - (-5))  The two negative signs becomes a positive

y - 7 = -11(x + 5)

Your answer is C


4. For this question, I think you get it from point-slope form to slope-intercept form (I'm not sure, but you still get the same answer if you just do slope-intercept form)

slope: -4

(x₁ , y₁) = (2, -8)


y - y₁ = m(x - x₁)

y - (-8) = -4(x - 2)

y + 8 = -4(x - 2)     Multiply/distribute -4 into (x - 2)

y + 8 = -4x + 8       Subtract 8 on both sides to get "y" by itself

y = -4x

Your answer is A

3 0
3 years ago
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