1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
tino4ka555 [31]
1 year ago
5

11.Find the missing value given the rate of change.(2,6) and (x, 10) m = 4

Mathematics
1 answer:
Anvisha [2.4K]1 year ago
4 0

The missing value x=3 is obtained by the concept of slope in coordinate geometry.

<h3>What is slope?</h3>

Positive or negative rates of change are both possible. Since the slope of a line is determined by the ratio of the vertical and horizontal change between any two locations on a plane or line, the slope is determined by the rise to run ratio. Where, Rise is the difference in elevation between two points. The horizontal shift between two places is known as a run.

Formula of slope = \frac{y2-y1}{x2-x1} (equation 1)

According to the question the coordinates are: xi=2, x2=x, y1=6, y2=10

Given, rate of change=4 (here rate of change=slope)

Putting all coordinates in equation 1

Slope= \frac{10-6}{x-2}

4=4/x-2

x-2=1

x=3

Therefore, the missing value x=3

To know more about slope visit:

brainly.com/question/3605446

#SPJ9

You might be interested in
This is the pond in a shape of a prism, it is completely full of water. Colin uses a pump to empty the pond. The level goes down
AnnZ [28]

Answer:

150 minutes

Step-by-step explanation:

P.S - The exact question is -

Given - This is the pond in a shape of a prism, it is completely full of

             water. Colin uses a pump to empty the pond. The level goes

             down by 20 cm in the first 30 min.

To find - Work put how many minutes Colin has to wait for the pond

               to completely empty.

Proof -

Given that,

Height of prism = 1 m

Also,

Base of the prism is trapezium and

Sides of the trapezium are 0.6 m and 1.4 m

Height of trapezium is 2 m

We know that,

Area of trapezium = \frac{1}{2}× (sum of sides)× height

                             =  \frac{1}{2}× (0.6 + 1.4)× 2

                             =  \frac{1}{2}× (2)× 2

                             =  2 m²

⇒Area of trapezium = 2 m²

Now,

Volume of prism = Area of trapezium × height of prism

                          = 2 m² × 1 m

                          = 2 m³

⇒Volume of prism = 2 m³

Now,

Given that the level goes down by 20 cm in the first 30 min

We know

100 cm = 1 m

⇒1 cm = \frac{1}{100} m = 0.01 m

⇒20 cm = 20×0.01 m = 0.2 m

⇒The level goes down by 0.2 m in the first 30 min.

Also,

we know that height of water = height of prism = 1 m

So, the remaining water left in the pond = 1 m - 0.2 m = 0.8 m

Also,

Volume of Remaining water = Area of trapezium × height

                                           = 2 m² × 0.8 m

                                           = 1.6 m³

⇒Volume of Remaining water = 1.6 m³

Now,

Volume of emptied water = Total Volume - Volume of Remaining water

                                       = 2 m³ - 1.6 m³

                                       = 0.4 m³

⇒Volume of emptied water = 0.4 m³

Now,

0.4 m³ water will be empty in 30 minutes

⇒ 1 m³ water will be empty in \frac{30}{0.4} = 75 minutes

⇒1.6 m³ water will be empty in 1.6 × 75 = 120 minutes

∴ we get

The remaining water is empty in 120 minutes

So,

Total pond is empty in 120 + 30 minutes

⇒Total pond is empty in 150 minutes

5 0
2 years ago
What is the answer to this question. Answer needed ASAP
vaieri [72.5K]
352 divided by 8=44
Each school will get 44 books.
3 0
3 years ago
Read 2 more answers
On a test Denzel answers that 3x + 6a + 7 is equivalent to 3(x + 2a +7). Is Denzel correct, why or why not? * Yes, he is correct
emmainna [20.7K]

Answer:

No, he is not correct because the constant in his answer should have been 21 not 7.

Step-by-step explanation:

3(x+2a+7)=3x+6a+21

Therefore, the correct answer is the fourth; he should have put 21.

6 0
3 years ago
Prove that ΔFGI ≅ ΔHGI
liraira [26]
Where’s the picture?
8 0
3 years ago
I need help with solving this problem please!!!
KATRIN_1 [288]
3 is 23 degree
8 is 157 degree
7 0
3 years ago
Read 2 more answers
Other questions:
  • The pair of points is on the graph of an inverse variation. Find the missing value. (9,5) and (x,6)
    13·2 answers
  • What is the the union for the following sets.
    8·1 answer
  • Math help please help thanks
    9·1 answer
  • 5th grade math. correct answer will be marked brainliest, select which ones are false and true for all.
    9·1 answer
  • A random survey of seventh- and eighth-grade students was conducted to find out how many hours are spent doing homework each nig
    15·1 answer
  • A survey asked a group of 60 students to list their eye color
    7·2 answers
  • What is the largest share 1/10 1/4 1/5
    14·2 answers
  • Sonali's father age is 5 year 3 times more then Sonali. find out Sonali age if her father age is 44.​
    13·2 answers
  • please help thank you
    7·1 answer
  • Mr. Jones has a cylindrical water storage
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!