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3 years ago

Make an equation line of a slope of 8 and goes through (0,-3)

Mathematics

1 answer:

Minchanka [31]3 years ago

5 0

Answer:

y + 3 = 8x

Step-by-step explanation:

y - y1 = m (x - x1)

y + 3 = 8 (x - 0)

y + 3 = 8x

hope this helps !

have an amazing day : )

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N is inversely proportional to t and when t is 36 ,N is176 .

sergeinik [125]

Answer:

The answer is below

Step-by-step explanation:

N is inversely proportional to t, therefore:

N ∝ 1/t

Let k be the constant of proportionality, hence we can replace the relationship by:

N = k/t

Given that when t is 36, N is 176. Therefore we can find the value of k:

176 = k / 36

k = 176 * 36 = 6336

N = 6336/t

Also let us find N when t = 6. This is done by substituting t = 6 into the equation and simplifying:

N = 6336/6

N = 1056

8 0

3 years ago

Find the volume of the cone, using 3.14 for π Radius= 10 Height= 6

Zigmanuir [339]

Answer:

V≈628.32

Step-by-step explanation:

7 0

3 years ago

The floor of a drawing room consists of 2000 tiles. Each of the tiles is rectangular in

wlad13 [49]

Step-by-step explanation:

<h2>☼︎Given :</h2>

The floor of a drawing room consist of 2000 tiles .Each tiles is rectangular in shape , of dimensions ,30 cm × 20 cm.

$\rule{200pt}{3pt}$

Area of the room.

$\rule{200pt}{3pt}$

<h2>☼︎Solution :</h2>

~ Formula Used:

$\large{\blue{\bigstar}} \: \: {\underline{\boxed{\pink{\sf{ Area{\small_{(Rectangle)}} = Length \times Breadth }}}}} \: \: {\blue{\bigstar}}$

━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━

~ Calculating the Area of Tiles 

${➙ \: {\sf{ Area = Length \times Breadth}}}$

${➙ \: {\sf{ Area = 30 \times 20 }}}$

${\sf{➙ \: Area \: of \: 1 Tiles = {\purple{\bf{ 600 \: cm² }}}}}$

$\qquad{━━━━━━━━━━━━━━━━━━━━━}$

~ Calculating Area of the Drawing Room :

${➙ \: {\sf{ Area \: of \: Room \: = No. \: of \: Tiles \times Area \: of \: 1 \: Tile }}}$

${➙ \: {\sf{ Area \: of \: Room \: = 2000 \times 600 }}}$

${\qquad{\sf{ Area \: of \: Room \: = {\color{darkblue}{\bf{ 1200000 \: cm² }}}}}}$

$\qquad{━━━━━━━━━━━━━━━━━━━━━}$

~ Therefore :

❝ Area of the Drawing room is 1200000 cm² or 12000 m² . ❞

$\begin{gathered} \\ {\blue{\underline{\red{\rule{300pt}{9pt}}}}}\end{gathered}$

8 0

3 years ago

Read 2 more answers

The probability of an event is 3/10 . What are the odds of the same event?

kozerog [31]

Answer:

D. $\frac{3}{7}$

Step-by-step explanation:

We have been given that the probability of an event is 3/10.

To find the odds of the same event we will use formula:

$\text{Odds of an event}=\frac{\text{Probability of the event}}{\text{1-Probability of the event}}$

$\text{Odds of the event}=\frac{\frac{3}{10}}{1-\frac{3}{10}}$

$\text{Odds of the event}=\frac{\frac{3}{10}}{\frac{1*10}{10}-\frac{3}{10}}$

$\text{Odds of the event}=\frac{\frac{3}{10}}{\frac{10-3}{10}}$

$\text{Odds of the event}=\frac{\frac{3}{10}}{\frac{7}{10}}$

Dividing a fraction with another fraction is same as multiplying the 1st fraction by the reciprocal of second fraction.

$\text{Odds of the event}=\frac{3}{10}\times \frac{10}{7}$

$\text{Odds of the event}=\frac{3}{7}$

Therefore, the odds of the same event is $\frac{3}{7}$ and option D is the correct choice.

8 0

3 years ago

4. Is the point (3,-4) a solution to the given system? Justify your answer.

Zigmanuir [339]

Answer: No, it is not a solution

==========================================================

Explanation:

The point (3,-4) means that x = 3 and y = -4 pair up together

Let's plug these x,y values into each equation

Starting with the first equation, we get,

y = 4x-16

-4 = 4(3)-16 ... x replaced with 3; y replaced with -4

-4 = 12-16

-4 = -4 .... this is a true statement

Repeat for the second equation

y = 2x-6

-4 = 2(3)-6

-4 = 6-6

-4 = 0 ... this is false

Since we get a false statement, this means (3,-4) is not on the line y = 2x-6, which means that overall (3,-4) is not a solution to the system of equations. The point (3,-4) must make both equations true for it to be a solution.

5 0

3 years ago