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3 years ago

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What is the equation of a line that passes through the point (4, 2) and is perpendicular to the line whose equation is y=x/3 −1

?

2 answers:

Leya [2.2K]3 years ago

8 0

The answer is y=12x-2

IrinaVladis [17]3 years ago

5 0

The anwser is y/x=12

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The sum of three and seven times a number is -74. What is the number?

Dima020 [189]

<h3>♫ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ♫</h3>

➷ Form an equation with 'x' as the unknown number

7x + 3 = -74

Subtract 3 from both sides:

7x = -77

Divide both sides by 7:

x = -11

The number is -11

<h3><u>✽</u></h3>

➶ Hope This Helps You!

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7 0

3 years ago

Read 2 more answers

A group of 3 adults and 5 children pay a total of $52 for movie tickets. A group of 2 adults and 4 children pay a total of $38 f

Ksivusya [100]

<span>x = child ticket price
y = adult ticket price
5x+3y=52 the cost accounting for the first group.
3x+2y=38 the cost accounting for the second group.

Child price: 5$
Adult price: 9$</span>

3 0

3 years ago

What is the distance between 5,4 and -1,1

spayn [35]

Answer:

3 $\sqrt{5}$

Step-by-step explanation:

Calculate the distance d using the distance formula

d = $\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }$

with (x₁, y₁ ) = (5, 4) and (x₂, y₂ ) = (- 1, 1)

d = $\sqrt{(-1-5)^2+(1-4)^2}$

= $\sqrt{(-6)^2+(-3)^2}$

= $\sqrt{36+9}$

= $\sqrt{45}$

= 3 $\sqrt{5}$ ← exact value

≈ 6.71 ( to 2 dec. places )

8 0

2 years ago

12,348 <img src="https://tex.z-dn.net/?f=%5Cpi" id="TexFormula1" title="\pi" alt="\pi" align="absmiddle" class="latex-formula">

Diano4ka-milaya [45]

Answer:

radius of the sphere (r) = 21 units

Step-by-step explanation:

here's the solution : -

=》

$12348\pi = \frac{4}{3} \times \pi \times {r}^{3}$

=》

${r}^{3} = 12348 \times \frac{3}{4}$

( pi cancel out )

=》

${r}^{3} = 9261$

=》

$r = 21$

4 0

2 years ago

Suppose the speeds of vehicles traveling on a highway are normally distributed and have a known population standard deviation of

erik [133]

Answer:

2.88

Step-by-step explanation:

Data provided in the question

$\sigma$ = Population standard deviation = 7 miles per hour

Random sample = n = 32 vehicles

Sample mean = $\bar X$ = 64 miles per hour

98% confidence level

Now based on the above information, the alpha is

= 1 - confidence level

= 1 - 0.98

= 0.02

For $\alpha_1_2$ = 0.01

$Z \alpha_1_2$ = 2.326

Now the margin of error is

$= Z \alpha_1_2 \times \frac{\sigma}{\sqrt{n}}$

$= 2.326 \times \frac{7}{\sqrt{32}}$

= 2.88

hence, the margin of error is 2.88

5 0

3 years ago