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wolverine [178]

2 years ago

5

identify an equation in point slope-slope form for the line perpendicular to y=3 x+5 that passes through(4,-1)

1 answer:

miss Akunina [59]2 years ago

7 0

Answer:

Perpendicular lines have slope that are negative reciprocals.

The slope of the perpendicular line is M = -1/3.

Step-by-step explanation:

(4,-1) --> X = 4, Y = -1, M = -1/3

y = Mx + b

-1 = (-1/3)*4 + b

-1 = (-4/3) + b

-3/3 = (-4/3) + b

-3 = -4 + 3b

1 = 3b

b = 1/3

y = (-1/3)X + 1/3

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If 7 liters of petrol cost $14.70, calculate the cost of 15 liters of petrol.

Alex73 [517]

Hi

7 = 14.70

15= X

so : X = 15*14.70 /7 = 31.5

15 liters of petrol cost 31.5

5 0

3 years ago

Read 2 more answers

The weight of baby goats is believed to be Normally distributed, with a mean of 5.75 pounds. The average weight of a random samp

Julli [10]

Answer:

The standard error of the mean is 0.0783.

Step-by-step explanation:

The Central Limit Theorem helps us find the standard error of the mean:

The Central Limit Theorem estabilishes that, for a random variable X, with mean $\mu$ and standard deviation $\sigma$ , a large sample size can be approximated to a normal distribution with mean $\mu$ and standard deviation $\frac{\sigma}{\sqrt{n}}$ .

The standard deviation of the sample is the same as the standard error of the mean. So

$SE_{M} = \frac{\sigma}{\sqrt{n}}$

In this problem, we have that:

$\sigma = 0.35, n = 20$

So

$SE_{M} = \frac{\sigma}{\sqrt{n}}$

$SE_{M} = \frac{0.35}{\sqrt{20}}$

$SE_{M} = 0.0783$

The standard error of the mean is 0.0783.

7 0

3 years ago

Two quantities, x and y, are directly proportional. If x is doubled, what happens to y?

vagabundo [1.1K]

Answer:

y is also doubled.

Step-by-step explanation:

Direct proportionality between $x$ and $y$ means that

$y \propto x$

or

$y=cx$ ,

which indicates a linear relationship between $x$ and $y$ because they are related by a constant.

Therefore, if x is doubled, then the new value of $y$ is $y_{new}$

$y_{new}=c(2x)$

$y_{new}=2(cx)$

$y_{new}=2y$

The new value of $y$ is 2 times the previous; therefore, $y$ is doubled as $x$ is doubled.

7 0

3 years ago

Read 2 more answers

Find the radius of a circle with a circumference of 35<img src="https://tex.z-dn.net/?f=%5Cpi" id="TexFormula1" title="\pi" alt=

dusya [7]

Answer:

17.5 yds =r

Step-by-step explanation:

Circumference is given by

C = 2*pi*r

35pi = 2 *pi*r

Divide each side by 2pi

35pi/2pi = 2*pi*r/2pi

17.5 =r

4 0

2 years ago

Which angle is congruent to <4 <1<2<5<8

Anna007 [38]

Answer:

The angle that will be congruent to angle 4 is :

Angle 1

Step-by-step explanation:

It is given that:

angle 4 and angle 5 are complements.

Also, angle 1 and angle 5 are complements.

Congruent complementary Theorem--

It states that if two angles are complementary to the same angle, then the two angles are congruent to each other.

Here both angle 1 and angle 4 are complementary to the same angle i.e. angle 5.

8 0

2 years ago