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
OverLord2011 [107]
3 years ago
10

Give two points with integer coordinates that have a slope of 10/7 between them

Mathematics
1 answer:
Fittoniya [83]3 years ago
7 0

Answer:

(0,0) and (7,10)

Step-by-step explanation:

recall that the slope - intercept  form of a linear equation can be given as

y = mx + b

where m = slope and b = y intercept

in our case, we are given that slope, m = 10/7, hence our equation becomes

y = (10/7) x + b

since we are not given any information about the y-intercept, we can simply pick a value for b that is most convenient for us.

We pick b = 0, hence the equation simplifies to:

y = (10/7) x  ----- eq 1

we can see immediately that if x = 0, y must also = 0

proof if x = 0:

y = (10/7)(0) =0

since 0 is an integer, then (0,0) must be the first point.

we can also observe that for y to be an integer, we must get rid of the denominator 7. We can do this by multiply the right side by 7. Hence we let x = 7:

y = (10/7) x 7

y = 10

hence (7,10) is the second point.

You might be interested in
I NEEDS THE HELP RIGHT NOW
leva [86]

Answer:idlk

Step-by-step explanation:

idlk

3 0
3 years ago
Are these expressions equivalent? (Show work)<br> 14x+10+2x and 5x+3x+10+8x
balu736 [363]

Step-by-step explanation:

14x+10+2x

16x+10. Answer 1

5x+3x+10+8x

16x+10. Answer 2

So, both Answers are same, So the expressions are equivalent...

3 0
2 years ago
Which equation represents a population of 210 animals that decreases at an annual rate of 14%
soldi70 [24.7K]

Answer:

The equation i.e. used to denote the population after x years is:

P(x) = 490(1 + 0.200 to the power of x

Step-by-step explanation:

This problem could be modeled with the help of a exponential function.

The exponential function is given by:

P(x) = ab to the power of x

where a is the initial value.

and b=1+r where r is the rate of increase or decrease.

Here the initial population of the animals are given by: 490

i.e. a=490

Also, the rate of increase is: 20%

i.e. r=20%

i.e. r=0.20

Hence, the population function i.e. the population of the animals after x years is:

P(x) = 490(1 + 0.200 to the power of x

6 0
3 years ago
A particle moves along the curve below. y = √ 3 + x 3 y=3+x3 As it reaches the point ( 1 , 2 ) (1,2), the y y-coordinate is incr
nydimaria [60]

Answer:

The x-coordinate of the point changing at ¼cm/s

Step-by-step explanation:

Given

y = √(3 + x³)

Point (1,2)

Increment Rate = dy/dt = 3cm/s

To calculate how fast is the x-coordinate of the point changing at that instant?

First, we calculate dy/dx

if y = √(3 + x³)

dy/dx = 3x²/(2√(3 + x³))

At (x,y) = (1,2)

dy/dx = 3(1)²/(2√(3 + 1³))

dy/dx = 3/2√4

dy/dx = 3/(2*2)

dy/dx = ¾

Then we calculate dx/dt

dx/dt = dy/dt ÷ dy/dx

Where dy/dx = ¾ and dy/dt = 3

dx/dt = ¾ ÷ 3

dx/dt = ¾ * ⅓

dx/dt = ¼cm/s

The x-coordinate of the point changing at ¼cm/s

7 0
3 years ago
Simplify. Assume that letters represent any real number.
TiliK225 [7]
\sqrt[5]{x^5}=x\\\\32^\frac{3}{5}=\left(32^\frac{1}{5}\right)^3=\left(\sqrt[5]{32}\right)^3=2^3=8
7 0
3 years ago
Read 2 more answers
Other questions:
  • The manager of Petco, a nationwide chain of pet supply stores, wants to study characteristics of the customers, particularly the
    10·1 answer
  • Anderson has been saving his earnings from mowing the neighborhood lawns. he has 70 dollars and wants to spend it all on movies.
    5·1 answer
  • Change this fraction to a whole number <br><br>46/2<br><br>please help!!!
    7·2 answers
  • Please help thank you!!
    12·1 answer
  • Helpppppppppp mathhhhhhhhhhhhhhhh
    10·2 answers
  • a plumber charges $29 for an hour of work. How much would you charge for a job that took him 1 and 3/4 hour to finish?​
    12·2 answers
  • Difference is 4 quotient is 2
    15·2 answers
  • What is the solution set of the quadratic inequality?
    7·1 answer
  • NEED HELP ASAP WILL GIVE BRAINLY
    5·2 answers
  • State the largest digit that can occupy a decimal place value column and explain your answer.
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!