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2 years ago

What is the point slope equation of a line with slope -5 that contains the point (6,3)

Mathematics

1 answer:

ehidna [41]2 years ago

3 0

Step-by-step explanation:

Given

Slope (m) = -5

Point

(x1 , y1) = ( 6 , 3)

So the equation is

y - y1 = m ( x - x1)

y - 3 = -5 ( x - 6)

y - 3 = -5x +30

5x + y = 30 + 3

5x + y = 33

5x + y - 33= 0

Which is the required equation.

Hope it will help you :)

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Which of the following choices

Lapatulllka [165]

Answer:

Denote AH as height of triangle ABC, with H lies on BC.

Applying sine theorem:

AH/AC = sin 60

=> AH = AC x sin 60 = 47 x sqrt(3)/2 = 40.7

=> Area of triangle ABC is calculated by:

A = AH x BC x (1/2) = 40.7 x 30 x (1/2) = 610.5 = ~611

=> Option C is correct.

Hope this helps!

3 0

2 years ago

An online shopping club has 10,000 members when it charges $7 per month for membership. For each $1 monthly

Sonja [21]

Answer:

The function that can be used in the online shopping club about its monthly revenue is:

$R = -400x^{2} +7200x+70000$

Step-by-step explanation:

First, we're gonna take into account the different values we have in the exercise:

10,000 members
$7 per month for membership
Loses of 400 members by each $1 monthly increase

How the variable $x$ represents the price increase, we can do the formula below:

$(10000 - 400x) * (7+x)$

In this formula, we represent in the first part that by each 1 in the variable $x$ , the total of members will be reduced in 400, in the second part, we mention that at the same time, the membership fee will be increased in the same value of $x$ . Now we must simplify this function:

$(10000 - 400x) * (7+x)$

We operate the values:

$70000+10000x-2800x-400x^{2}$

Solve we can:

$70000+7200x-400x^{2}$

And organize:

$-400x^{2} +7200x+70000$

At the end, how $R$ represents the monthly revenue received by the club, we use that variable for our formula:

$R=-400x^{2} +7200x+70000$

4 0

1 year ago

Esi says that the value of z when z^2 = 80 does not belong in either of these categories since z must be greater than 8.

Anettt [7]

Answer:

Step-by-step explanation:

if z=8 then z^2 would be 64, which is not equal to 80

iz z=9 then z^2 would be 81, which is closer to 80 than 64

therefore, 9 is the whole number than z would be closest to

7 0

1 year ago

Read 2 more answers

Find the volume of a cylinder with height 12 cm and diameter 7 cm.

Svet_ta [14]

3 0

2 years ago

Please help me with this

Ne4ueva [31]

Answer:

Option c

Step-by-step explanation:

A system of equations are given to us. And we need to solve them . The given system is

$\begin{cases} y = 2x - 3\dots 1 \\ y = x^2 - 3\dots 2 \end{cases}$

We numbered the equations here . Now put the value of equation 1 in equation 2 that is substituting y = 2x - 3 in eq. 2 .

$\implies y = x^2 - 3 \\\\\implies 2x - 3 = x^2 - 3 \\\\\implies x^2 - 2x = 0 \\\\\implies x(x-2) = 0 \\\\\implies\red{ x = 0 , 2 }$

We got two values of x as 0 & 2 . Alternatively substituting these values we have ,

$\implies y = 2 x - 3 \\\\\implies y = 2(0)-3 \qquad or \qquad y = 2(2)-3 \\\\\implies y = 0-3 \qquad or \qquad 4 - 3 \\\\\implies \red{ y = -3 , 1 }$

Thefore the required answer is ,

$\red{Option\:c} \begin{cases} (0,-3) \\ (2,1) \end{cases}$

4 0

2 years ago

Read 2 more answers