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4 years ago

Find the equation of the line passing through the point (2,−4) that is parallel to the line y=3x+2

Mathematics

1 answer:

seraphim [82]4 years ago

3 0

Answer:

The equation of the line would be y = 3x - 10

Step-by-step explanation:

To find the equation we first need to note that parallel lines have the same slope. So since the original equation has a slope of 3, the new one will as well. Now we can use that slope and the given point in point-slope form to find the equation.

y - y1 = m(x - x1)

y + 4 = 3(x - 2)

y + 4 = 3x - 6

y = 3x - 10

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Need help with graph

andre [41]

Because the domain refers to the set of possible input values, the domain of a graph consists of all the input values shown on the x-axis. The range is the set of possible output values, which are shown on the y-axis.

The domain is the values of x between 1 and 7

The range

4 0

1 year ago

Factor the expression<br> 7x^2 + 50x + 7<br> (Type your answer in factored form.)

alina1380 [7]

Answer: (7x + 1)(x + 7)

Step-by-step explanation:

$Factor the following:$$7 x^{2}+50 x+7$$Factor the quadratic $7 x^{2}+50 x+7$. The coefficient of $x^{2}$ is 7 and the constant term is 7. The product of 7 and 7 is 49 . The factors of 49 which sum to 50 are 1 and 49. So:\\\\ $7 x^{2}+50 x+7\\=7 x^{2}+49 x+x+7\\=7(7 x+1)+x(7 x+1)$ \\\\Factor $7 x+1$ from $7(7 x+1)+x(7 x+1)$ :$$\\\\Answer:(7 x+1)(x+7)$

3 0

2 years ago

Read 2 more answers

Calculate the missing angle measures in each figure

dalvyx [7]

Answer:

a:36 b:30

Step-by-step explanation:

A:180-56, since it is a straight line.

180-124-20= 36

B:180-120=60

60+3x+1x=180

60+4x=180

4x=120

x=30

4 0

3 years ago

I do not get it but i sort of do

Dominik [7]

150 divided by 20 is 7 with a remainder of 10

The quotient is 7, but the answer is 8 I'm not sure if this is what you were looking for but I hope it helped

5 0

3 years ago

Read 2 more answers

Porphyrin is a pigment in blood protoplasm and other body fluids that is significant in body energy and storage.

ra1l [238]

Answer:

a) 0.923

b) 0.957

c) 0.88

d) 0.077

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 40

Standard Deviation, σ = 14

We are given that the distribution of number of milligrams of porphyritic per deciliter of blood is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

a) P(xis less than 60)

P(x < 60)

$P( x < 60) = P( z < \displaystyle\frac{60 - 40}{14}) = P(z < 1.4285)$

Calculation the value from standard normal z table, we have,

$P(x < 60 ) =0.923 = 92.3\%$

b) P(x is greater than 16)

$P(x > 16) = P(z > \displaystyle\frac{16-40}{14}) = P(z > -1.7142)\\\\P( z > -1.7142) = 1 - P(z \leq -1.7142)$

Calculating the value from the standard normal table we have,

$1 - 0.043 = 0.957 = 95.7\%\\P( x > 16) = 95.7\%$

c)P(x is between 16 and 60)

$P(16 \leq x \leq 60) = P(\displaystyle\frac{16 - 40}{14} \leq z \leq \displaystyle\frac{60-40}{14}) = P(-1.7142 \leq z \leq 1.4285)\\\\= P(z \leq 1.4285) - P(z < -1.7142)\\= 0.923 - 0.043= 0.88 = 88%$

$P(16 \leq x \leq 60) = 88\%$

d) P(x is more than 60)

P(x > 60) = 1 - P(x < 60) = 1 - 0.923 = 0.077

6 0

3 years ago