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
melamori03 [73]
3 years ago
8

What is a and b pls answer ASAP I need it !!! Plsss

Mathematics
1 answer:
nlexa [21]3 years ago
7 0

Answer:

The value of a = 5.

the value of b = 6.

Step-by-step explanation:

Given the points on the line

  • (6, 10)
  • (a, 8)
  • (4, b)
  • (2, 2)

Given that all of the points are on the same line and the line represents a linear function.

Thus, the slope between any two points must be the same.

First, determine the slope between (6, 10) and (2, 2)

(x₁, y₁) = (6, 10)

(x₂, y₂) = (2, 2)

Using the formula

Slope = m =  [y₂ - y₁] /  [x₂ - x₁]

               =  [2 - 10] / [2 - 6]

               = -8 / -4  

               = 2

Thus, the slope of the line = m = 2

Determine the value 'a'

(x₁, y₁) = (6, 10)

(x₂, y₂) = (a, 8)

Using the slope formula to determine the value of 'a'

Slope =  [y₂ - y₁] /  [x₂ - x₁]

As the slope between two points is 2.

now substitute slope = 2, (x₁, y₁) = (6, 10) and (x₂, y₂) = (a, 8) in the slope formula

Slope =  [y₂ - y₁] /  [x₂ - x₁]

2 = [8 - 10] / [a - 6]

2(a - 6) = 8 - 10

2a - 12 = -2

2a = -2 + 12

2a = 10

divide both sides by 2

a = 5

Therefore, the value of a = 5.

Determine the value 'b'

(x₁, y₁) = (2, 2)

(x₂, y₂) = (4, b)

Using the slope formula to determine the value of 'b'

Slope =  [y₂ - y₁] /  [x₂ - x₁]

As the slope between two points is 2.

now substitute slope = 2, (x₁, y₁) = (2, 2) and (x₂, y₂) = (4, b) in the slope formula

Slope =  [y₂ - y₁] /  [x₂ - x₁]

2 = [b - 2] / [4 - 2]

2(4 - 2) = b - 2

8 - 4 =b - 2

4 = b - 2

b = 6

Therefore, the value of b = 6

You might be interested in
Simplify the expression (4 + 5i)(4 - 5i).<br>16 - 20i<br>16 + 20i<br>-9<br>41​
AnnZ [28]

Answer:

The answer i got was 41. i just took a test with the same problem and it was correct. Hope this helps.

Step-by-step explanation:

3 0
3 years ago
Please help me with this!
salantis [7]

The original area of a face would be a^2. Now that you added b to the edge, the new area of each face would be (a+b)^2. To find how much the are increased, subtract a^2 from (a+b)^2. (a+b)^2-(a^2)= a^2+2ab+b^2-(a^2)= 2ab+b^2= b(2a+b) So the answer is b(2a+b)

6 0
3 years ago
Read 2 more answers
Write an equation of the line in slope-intercept form.<br> (0.2)
shutvik [7]

Answer:

y = x + 2

Step-by-step explanation:

The slope is 1

The y-intercept is 2

4 0
2 years ago
Read 2 more answers
3X3X11<br> Write the number whose prime factorization is given
mixer [17]

the prime factorization is 99

6 0
3 years ago
Read 2 more answers
Describe how to write 7,594,000,000 in scientific notation. Complete the description. First move the decimal point places to the
s2008m [1.1K]

Step-by-step explanation:

The given number is 7,594,000,000.

To convert it into scientific notation,

First move the decimal point places to the left to find a number that is greater than or equal to 1 and less than 10. Then multiply by 10 , using an exponent on 10 that equals the number of places you moved the decimal. The exponent is negative if the original no was <1 and the exponent is positive, if the original number was  > 1.

In 7,594,000,000, we move the decimal point places to the left before 5. It means we have moved 9 digits left.

Hence, 7,594,000,000=7.59\times 10^9 is the scientific notation.

6 0
2 years ago
Other questions:
  • The admission fee at an amusement park is $1.50 for children and $4 for adults. On a certain day, 362 people entered the park, a
    14·1 answer
  • In which​ quadrant, if​ any, is the point left parenthesis negative 104 comma 3 right parenthesis(−104,3) ​located?
    7·2 answers
  • Triangle ABC has vertices A(4,8) B(-3,2) and C(-1,6). Triangle ABC is dilated so that the new vertices are A'(12,24) B'(-9,6) an
    6·1 answer
  • Describe the nature of the roots for this equation.
    11·1 answer
  • Please help me with the question below and i will mark you as BRAINLIEST
    10·2 answers
  • 1) how much change is left over if you have $40. You go to the movies with 2 friends. You pay for everything. Each one of your t
    6·2 answers
  • At Eagle middle school 75 board members need to raise a total of $8250 for a tribe so far they have raise $3120 how much money i
    7·1 answer
  • Can someone tell me the answer please ?
    9·2 answers
  • 15 dollars for a book and 40 percent off
    5·1 answer
  • Jon works in the shipping department at crunchy cereal. to find out how many cereal boxes fit in one shipping container, jon div
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!