23. To complete the square you divide the x term by 2 and square it
(6/2)^2 = 9 so we have
(X+3)^2 = 2
then square root both side and get x by itself
x = √2 + 3
x = 4.41 , 1.585
A
24. x^2 - 4x = 1
Factor
X(x - 4) = 1
x = 4.23 and -.24
A
25. x^2 +3x = 4
factor
x(x + 3) = 4
solve
x = -4 or 1
A
26. X^2 +5x = 10
Factor
x(x +5) = 10
solve
x = 1.53 and -6.53
A
Answer: 5 friends
Steps:
3.25x + 14 = 30.25
3.25x = 30.25 - 14
3.25x = 16.25
x = 16.25/3.25
x = 5
Check:
3.25x + 14 = 30.25
3.25(5) + 14 = 30.25
16.25 + 14 = 30.25
30.25 = 30.25 ✅
I would appreciate the brainliest if this was helpful had clear steps and was correct! :)
Answer:
x - 4y - 12 = 0
Step-by-step explanation:
Given, y-intercept(c) = -3
slope(m) = 1/4
Now,
Eqn of line in slope intercept form is y = mx + c
y = 1/4 * x - 3
4y = x - 12
x - 4y- 12 = 0 is req eqn
Answer:
edp455
Step-by-step explanation:
Answer:
See below ~
Step-by-step explanation:
We need to prove they are equal.
Equate the values to each other.
- 2x² - 6x + 7 = x² - 2x + 3
- x² - 4x + 4 = 0
- (x - 2)² = 0
- <u>x = 2</u>
<u></u>
Now input the x-value in the 1st equation.
- y = 2(2)² - 6(2) + 7
- y = 8 - 12 + 7
- y = -4 + 7
- <u>y = 3</u>
<u></u>
Now input the same in the 2nd equation.
- y = (2)² - 2(2) + 3
- y = 4 - 4 + 3
- <u>y = 3</u>
<u></u>
Since the same x-value, on inputting in both equations, give the same y-value, it is proved they <u>touch each other</u>.
<u>Point of Contact</u>
