Camila and her children went into a grocery store and where they sell apples for $0.50 each and mangos for $0.75 each. Camila ha
1 answer:
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Answer: < -4/5, 3/5>
This is equivalent to writing < -0.8, 0.6 >
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Explanation:
Draw an xy grid and plot the point (-4,3) on it. Draw a segment from the origin to this point. Then draw a vertical line until reaching the x axis. See the diagram below.
We have a right triangle with legs of 4 and 3. The hypotenuse is through use of the pythagorean theorem.
We have a 3-4-5 right triangle.
Therefore, the vector is 5 units long. This is the magnitude of the vector.
Divide each component by the magnitude so that the resulting vector is a unit vector pointing in this same direction.
Therefore, we go from < -4, 3 > to < -4/5, 3/5 >
This is equivalent to < -0.8, 0.6 > since -4/5 = -0.8 and 3/5 = 0.6
Side note: Unit vectors are useful in computer graphics.
Answer:
It will take them 3.43 hours.
Step-by-step explanation:
Let T denote the total cookies that need to be cocked. Observe that:
- If Rosanne finishes the cookies in 6 hours, that means that she can make
cookies per hour.
- If Dorothy finishes the cookies in 8 hours, that means that she can make
cookies per hour.
Then, by 1) and 2), if they work together would we able to make
cookies per hour.
Therefore, in order to finish the T cookies they will need
Answer:
21. B
22. D
23. C
24. y = 3x - 12
Step-by-step explanation:
21. it has to be a positive slope since the graph shows it is increasing/positive slope. Has to be A or B. But it isn't A because where x = 1 1/2, y doesn't equal 0 like the graph shows.
22. It is D if you rewrite the equation starting with y=, so you subtract 2x on both sides to get y = -2x +6. Parallel means slopes are the same, so the slope has to be -2, which is D.
23. The only one that fits the description is C.
24.
in standard form, rearrange the equation so only y is on one side, the rest on the other.
-4x + 2y = 2x - 24
first add 4x on both sides so -4x cancels out on the left hand side.
-4x + 4x + 2y = 2x + 4x - 24
simplify it and get 2y = 6x - 24
divide both side by 2
y = 3x - 12
plot this as shown with arrows on lines.
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