Answer:
x=5
Step-by-step explanation:
Answer:
y = (-2/3)x - 1/3
Step-by-step explanation:
Find the equation of the line through the two points (-2, 1) and (1, -1).
As we increase x from -2 to 1 (an increase of 3), y decreases from 1 to -1 (a decrease of 2).
Thus, the slope of this line is m = rise / run = -2/3.
Using the slope-intercept formula y = mx + b, and substituting the givens m = -2/3, x = -2 and y = 1, we get:
1 = (-2/3)(-2) + b, or
1 = 4/3 + b, or 3/3 = 4/3 + b.
Then b must be 3/3 - 4/3, or -1/3, and the equation of the line is then
y = (-2/3)x - 1/3
Answer:
no
Step-by-step explanation:
Do your own work
Answer:
A. 5x² - 7 - 72 = 0
5x² - 79 = 0
x = ± √-4ac / 2a
x = ± √- 4 (5) (-79) / 2 (5)
x = ± √ 1580 / 10
x = ± 39.749/10
x = + 39.749/10 x = -39.749/10
= 3.9749 = - 3.9749
B. x² + 2x - 5 = 0
x = - b ± √b² - 4ac / 2a
= - 2 ± √2² - 4 (1) (-5) / 2 (1)
= - 2 ± √4 + 20 / 2
= - 2 ± √ 24 / 2
x = - 2 + 4.898 /2 x = - 2 - 4.898 / 2
= 2.898/2 = -6.898/2
= 1.449 = - 3.449
C. 3x² + 2x - 4 = 0
x = - b ± √b² - 4ac / 2a
= - 2 ± √2² - 4 (3) (-4) / 2 (3)
= - 2 ± √4 + 48 / 6
= - 2 ± √ 52 / 6
x = - 2 + 7.211 /6 x = - 2 - 7.211 / 6
= 5.211/6 = - 9.211 /6
= 0.869 = - 1.535
Hope that helps
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