Answer:
(22, 9)
Step-by-step explanation:
The positive difference of two integers is 13. The sum of the larger number and the square of the smaller is 103. Give your solution(s) as ordered pair (larger, smaller). I'll call the two integers a and b.
a - b = 13 a + b² = 103
<u> +b +b</u>
a = 13 + b plug this into the second equation
a + b² = 103
(13+b) + b² = 103 subtract 103 from both sides to get one side equal to zero
<u>-103 -103</u>
b² + b - 90 = 0 what factors (two numbers multiply) to -90 that also add up
to 1? The only two that work are -9 and 10.
(b-9)(b+10) = 0 so b-9 = 0 or b+10 = 0
<u>+9 +9</u> or <u>-10 -10</u>
b = 9 or b = -10 but both numbers must be positive
b = 9 and a = 13 + b so a = 13 + 9 = 22
(22, 9)
Given:
The equation in point slope form is
To find:
The equation of the same line in standard form.
Solution:
Standard form of a line is
We have,
Multiply both sides by 4.
Isolate variable terms.
Multiply both sides by -1.
Therefore, the correct option is B.
Answer:
(2,-1.5)
Step-by-step explanation:
6x-4y=18
-x-6y=7
Switch the second equation from standard form to y=mx+b form
-x-6y=7→ -x=7+6y → multiply both sides by -1→ x=-7-6y
Substitute all of the things that equal x into the other equation into x
6x-4y=18→ 6(-7-6y)-4y=18
Simplify
-42-36y-4y=18
Bring - 42 to the other side and add like terms
-42-36y-4y=18→ -40y= 60
Solve for y
y=-1.5
Choose an equation and plug y in it.
-x-6(-1.5)=7
-x+9=7
-x=-2
Multiply both sides by -1
x=2
Answer:
Olivia
Step-by-step explanation
2/1 = 2 water bottle. 6/2 = 3 water bottle.
?? lool makes no sense im answering for points tho, dont mind me