Answer:
y = 2x−2
Step-by-step explanation:
You are given a slope and a point, so you can write the equation using point-slope form:
y -k = m(x -h) . . . . . . a line with slope m through point (h, k)
Putting in the numbers given, you have ...
y -6 = 2(x -4)
y = 2x -8 +6 . . . . eliminate parentheses, add 6
y = 2x -2 . . . . . . . collect terms.
__
You know that the slope is the coefficient of x, so the first choice is eliminated right away. Trying the point values in the other equations shows you that they only work for the last choice, as shown above.
- 2·4 +14 = 22 ≠ 6 . . . . second choice doesn't work
- 2·4 +6 = 14 ≠ 6 . . . . . third choice doesn't work
- 2·4 -2 = 6 . . . . . . y = 2x-2 is the equation that works
Answer:
C. 18:30
Step-by-step explanation:
Divide the y values (games played) by the x values (games won) to find your ratio. The ratio across each of these pairs is 1.666667...
Using the ratio provided, 18:30, divide 30 by 18.
30/18 = 1.666667...
It's a match!
Therefore, the answer is C. 18:30
9. Area of a triangle is proportional to height. If the height increases by a factor of 4, then ...
The area will increase by a factor of 4. . . . . (2nd selection)
10. The base lengths and height are needed:
• 5 mm
• 8 mm
• 10 mm
19/50
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Answer:
x = -6/11
Step-by-step explanation:
-6(-4x + 3) = 2(10x + 3)
-6 * -4x = -24x
-6 * 3 = -18
2 * 10x = 20x
2 * 3 = 6
-24x - 18 = 20x + 6
-20x -20x
-44x - 18 = 6
+18 +18
-44x = 24
------- ------
-44 -44
24/-44 = -24/44
-24/44 = -6/22
x = -6/11
