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Liula [17]
2 years ago
13

Write an equation for the line in point-slope and slope-intercept forms.

Mathematics
2 answers:
andrew-mc [135]2 years ago
7 0

point-slope form: y-y₁=m(x-x₁)

==========

  • y - 2 = 7(x-1)

slope-intercept form: y = mx + b

==========

  • y - 2 = 7(x-1)
  • y - 2 = 7x-7
  • y = 7x - 7 + 2
  • y = 7x -5
kati45 [8]2 years ago
3 0

Point slope is written as y - y1 = m(x -x1)

Where x1 and y1 are the given point and m is the slope:


point slope :

Y-2 = 7(x-1)


slope intercept is written as y = Mx + b where m is the slope and b is the y intercept:


musing the slope you have y = 7x + b

Now replace y and x with the given point to solve for b:

2 = 7(1) = b

2 = 7 + b

Subtract 7 from both sides to get b = -5


now replace b in the equation to get:

Y = 7x-5

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Elodia [21]

Answer:

31

Step-by-step explanation:

Evaluate following the order set out in the acronym PEMDAS

That is parenthesis, exponents, multiplication, division, addition, subtraction

Given

(5 + 1)² - (11 + 3² ) ÷ 4

= 6² - (11 + 9) ÷ 4

= 36 - 20 ÷ 4 ← division before subtraction

= 36 - 5

= 31

6 0
3 years ago
F(x) = (x + 3)^2 find the inverse of this function​
Snezhnost [94]
I think the answer is:
F^-1(x)= 1/(x+3)^2

Inverse mean the opposite or reverse

Hope this makes sense! :)
3 0
3 years ago
Find the length of the missing triangle. round your answer to three decimal places
Vedmedyk [2.9K]

Answer:

There is just one simple rules for find other side

Step-by-step explanation:

Think about a triangle and this triangle has 3 side it must have 90° on one edge. We assume the longest side is hipotenus x²+y²=hipotenus² . Look at your question hipotenus is 15 lets try to find other side. X²+12²=15² x=9

7 0
2 years ago
A certain high school class consists of juniors and seniors. There are
Genrish500 [490]

Answer:

10 SENIORS

Step-by-step explanation:

x=# of seniors

y=# of juniors

x+y=23, x=2y-7

  1. plug the value of x in the second equation into the first
  2. (2y-7)+y=23
  3. Remove parentheses
  4. 2y-7+y=23
  5. Combine like terms
  6. 3y-7=23
  7. Add 7 to BOTH sides
  8. 3y=30
  9. divide BOTH sides by 3
  10. 3y/3=30/3
  11. y=10
  12. There are 10 juniors in the class
  1. FINAL STEPS
  2. Plug y (which is 10) into the first equation
  3. x+y=23
  4. x+10=23
  5. subtract 10 from BOTH sides
  6. x=13
  7. Since X equals the number of seniors, there are 10 seniors in the class

8 0
3 years ago
2. the height of one solid limestone square pyramid is 24 m. a similar solid limestone square pyramid has a height of 30 m. the
Viktor [21]
A) the scale factor of the smaller pyramid to the larger pyramid in simplest form is 24:30 = 4:5

b) the ratio of the area of the base of the smaller pyramid to the larger pyramid.
From the scale factor, the ratio of the area of the base of the smaller pyramid to the larger pyramid is 4^2 : 5^2 = 16:25

8 0
3 years ago
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