Answer:
To find the line parallel to the line y = -2/3x + 1 and passing through the point (-6, -1), we will need to know that if two lines are parallel, then their slopes are equivalent to each other.
Since we are given the slope, we need to find the y-intercept of the line. We can find the y-intercept by substituting the point (-6, -1) into a new equation with the slope of m = -2/3. Remember that slope-intercept form is y = mx + b.
y = -2/3x + b (substitute the ordered pair)
-1 = -2/3(-6) + b
-1 = 4 + b (subtract 4 from both sides)
-5 = b
Therefore, the equation of the line passing through the point (-6, -1) and parallel to y = -2/3x + 1 is y = -2/3x - 5.
Step-by-step explanation:
Answer:
100 cubic inches
Step-by-step explanation:
If she fills 3 inches of the pitcher with sugar, the height will be reduced from 7 inches to 4.
Find how many cubic inches are left for lemonade by finding the volume
Use the volume formula, V = lwh
V = lwh
V = (5)(5)(4)
V = 100
So, there are 100 cubic inches left for lemonade
Answer:
The answer is D. water fountain.
Step-by-step explanation:
If you look at the graph for the point (-2.5, 3.0), you need to find -2.5 on the x-axis and 3 on the y-axis. The "Water Fountain" point is past negative two but not quite at 3 yet; it's in between. Then you go up three times. Even though the graph is going by 2's, the point is located exactly in between 2 and 4, which is 3. Hope this helps!
Answer:
15a - 10
Step-by-step explanation:
-5(-3a + 2)
-5 · -3a = 15a
-5 · 2 = -10
15a - 10
Answer:
You must subtract all terms of the numerator being subtracted out, not just the first term. The negative 2 should have been subtracted out to get a numerator of x + 1 - x + 2. The simplified numerator of the difference should be 3, not –1.
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Step-by-step explanation: