<h3>Answer: Choice D</h3>
4x - 3y = 15
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Explanation:
The two points (-1,-1) and (2,3) are marked on the line
Let's find the slope of the line through those two points.
The slope is 4/3 meaning we go up 4 and to the right 3.
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Parallel lines have equal slopes, but different y intercepts. We'll need to see which of the four answer choices have a slope of 4/3.
Solve the equation in choice A for y. The goal is to get it into y = mx+b form so we can determine the slope m.
Equation A has a slope of -3/4 and not 4/3 like we want.
Therefore, this answer choice is crossed off the list.
Follow similar steps for choices B through D. I'll show the slopes of each so you can check your work.
- slope of equation B is 3/4
- slope of equation C is -4/3
- slope of equation D is 4/3
We have a match with equation D. Therefore, the equation 4x-3y = 15 is parallel to the given line shown in the graph.
You can use graphing tools like Desmos or GeoGebra to confirm the answer.
Answer:
assuming its an annual interest
Okay so 6 percent interest, the bank is paying you.
So with this it’s 6 percent of 1500 and add it to 1500.
You can always find 6 percent of 1500 and then add but here’s a short cut.
Your principle (beginning) balance is 1500.
That’s already 100 percent since thats yoru original value.
You then get added 6 percent interest.
We are jsut adding 6 percent to 100 percent so 106 percent.
Now we solve normally and you’d get the answer faster.
106 percent is 106/100 or 1 3/5 or 1.06
now we multiply
1500 * 1.06 = 1590
Your final balance would be 1590 after the 6 percent interest is added.
Answer:
2.24
Step-by-step explanation:
Answer:
Sample Response: Perform the transformations from right to left. First, rotate the triangle 90 degrees. Negate the y-coordinate and then switch the coordinates to get (–1, 0). Next, perform the translation up by adding 0 to the x-coordinate and 2 to the y-coordinate to get (–1, 2). Finally, reflect this point over the y-axis by negating the x-coordinate to get (1, 2).
Step-by-step explanation:
