MATHEMATICS MIDDLE SCHOOL

Write an equation in slope-intercept form of the line through point P(10, –9) with slope 3.

Answers

Answer 1

Answer:

Answer:

y = 3x - 39

Step-by-step explanation:

The slope-intercept form of an equation of a line:

$y=mx+b$

m - slope

b - y-intercept

We have the slope m = 3 and the point P(10, -9).

Pu the value of slope and the coordinates of the point (x = 10, y = -9) to the equation of a line:

$-9=3(10)+b$

$-9=30+b$ subtract 30 from both sides

$-39=b\to b=-39$

Finally:

$y=3x-39$

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A room 9m * 7.5m is covered with tiles. Size of each tile is 25cm by 20cm. Find the cost of tiles at the rate of Rs. 45 per tile.

Answers

Answer:

Step-by-step explanation:

9mx7.5m=67.5m

25cmx20cm=500cm=0.5m

67.5÷0.5=135

45×135=Rs.6075

the cooper family decided to hike to hillside lake,approximately 8⅝ miles away. after an hour tje lake was still 5⅓ miles away. hpw far did the group so far?

Answers

Answer: 3 7/24

Step-by-step explanation:

Given: The Cooper family decided to hike to Hillside Lake.

The approximate distance to travel for Hillside Lake = 8 5/8

Since , After an hour the lake was still away. 5 1/3

Now, the distance hiked by group :

8 5/8 - 5 1/3 = 3 7/24

Answer= 3\7-24 miles

Step-by-step explanation:

T times 3/4 for t =8/9

Answers

Because T = 8/9, 3/4 • T is 3/4 • 8/9 = 2/3

Explain why (1/2)4 =1/16

Answers

${ \left( \frac { 1 }{ 2 } \right) }^( 4 )\n \n =\frac { 1 }{ 2 } \cdot \frac { 1 }{ 2 } \cdot \frac { 1 }{ 2 } \cdot \frac { 1 }{ 2 }$

$\n \n =\frac { 1 }{ 2\cdot 2\cdot 2\cdot 2 } \n \n =\frac { 1 }{ 16 }$

Step-by-step explanation:

It is because (1/2)^4 is equal to 1/2*1/2*1/2*1/2 which equals 1/16

Bryan has a summer job of unloading fruit crates. Last week he unloaded 243 crates. This week he unloaded 361. How many more did Bryan unload this week than last week?

Answers

Answer:

The answer is 118

Step-by-step explanation:

In order to solve this you need to subtract this weeks, to last weeks.

361 - 243 = 118.

Hope this helps :)

Final answer:

Bryan unloaded 118 more crates this week than last week.

Explanation:

To find out how many more crates Bryan unloaded this week than last week, we can subtract the number of crates unloaded last week from the number of crates unloaded this week.

So, to find the difference, we subtract 243 from 361:

= 361 - 243

= 118

Therefore, Bryan unloaded 118 more crates this week than last week.