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3 years ago

Write the equation of each line using the given information.

Mathematics

1 answer:

MrRissso [65]3 years ago

4 0

Answer:

See explanation.

Step-by-step explanation:

We need a point and a slope to have a point slope equation.

$y-y_{1}=m(x-x_{1})$

We need a slope and y-intercept to write in slope intercept form.

$y=mx+b$

A) $y-1=\frac{1}{2}(x+4)$ or $y=\frac{1}{2}x+3$

B) $y+1=-1(x-2)$

C) $y-1=0(x-1)$

D) $y=-3x+8$

You might be interested in

Statement ∠T and ∠S are complementary ∠S and ∠U are complementary m∠T+m∠S=90 m∠S+m∠U=90 m∠T+m∠S=m∠S+m∠U m∠U=m∠T ∠U≅∠T

Leto [7]

Answer:

See Explanation

Step-by-step explanation:

According to the Question,

Given That, ∠T and ∠S are complementary & ∠S and ∠U are complementary

Thus, m∠T + m∠S = 90 ------ Equation 1

& m∠S + m∠U = 90 ------- Equation 2

Now, Subtract Equation 2 From Equation 1, we get

m∠T - m∠U = 0

Thus, m∠T = m∠U

The measure of angle T is equal to angle U.(∠U≅∠T).

7 0

2 years ago

The heights of baby giraffe are normally distributed with a mean of 63.6 inches and a standard deviation of 2.5 inches. If 100 b

ANEK [815]

Answer:

$P(\bar X$

And we can solve this using the following z score formula:

$z = \frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n}}}$

And if we use this formula we got:

$z = \frac{63-63.6}{\frac{2.5}{\sqrt{100}}}= -2.4$

So we can find this probability equivalently like this:

$P( Z$

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Solution to the problem

Let X the random variable that represent the heights of a population, and for this case we know the distribution for X is given by:

$X \sim N(63.6,2.5)$

Where $\mu=63.6$ and $\sigma=2.5$

We select n =100. Since the distribution for X is normal then we know that the distribution for the sample mean $\bar X$ is given by:

$\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})$

We want this probability:

$P(\bar X$

And we can solve this using the following z score formula:

$z = \frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n}}}$

And if we use this formula we got:

$z = \frac{63-63.6}{\frac{2.5}{\sqrt{100}}}= -2.4$

So we can find this probability equivalently like this:

$P( Z$

4 0

3 years ago

PLZ HURRY How many solutions does this system have? y = 3 x minus 5. y = negative x + 4.

Anarel [89]

Answer:

one is correct.

Step-by-step explanation:

because it have one solution when you graph it

4 0

3 years ago

Read 2 more answers

Solve the simultaneous equation 2x + y= 6

vivado [14]

Answer:

x=1 y=4

Step-by-step explanation:

6 0

2 years ago

I keep messing this up for #13 I got (1/19, 35/38) and for #15 I got (2,-1) both of which I know are wrong, someone help me unde

valentinak56 [21]

2x + y = x/2 + 1 multiply this by -4:-
-8x - 4y = -2x - 4
4y = 2x Adding:-

-8x = -4
x = 1/2

Substitute in 4y = 2x:-

4y = 2*1/2

y = 1/4

Answer ( 1/2, 1/4)

3 0

3 years ago