Drag each sign or value to the correct location on the equation. Each sign or value can be used more than once, but not all sign
s and values will
be used.
The focus of a parabola is (-4,-5), and its directrix is y=-1. Fill in the missing terms and signs in the parabola's equation in standard form.
be used.
The focus of a parabola is (-4,-5), and its directrix is y=-1. Fill in the missing terms and signs in the parabola's equation in standard form.
1 answer:
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<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.
Given :
Apa-bear weighs 250 lb.
Mama-bear weighs 50 pounds less than Papa-bear does.
Their 2 cubs weigh 80 pounds each.
To Find :
The total weight of the Bear family .
Solution :
Weight of mama bear = .
Total weight is the sum of all all weight .
Therefore , total weight of the Bear family is 610 lb .
Hence , this is the required solution .
To find the difference, we are going to destroy the parenthesis first, and then, we are going to perform the operations. Remember that to destroy a parenthesis preceded by a negative sign (-), you should change the signs of the factors inside the parenthesis:
Now we can factor both numerator and denominator and simplify:
We can conclude that the difference in simplest form is:
Now we can factor both numerator and denominator and simplify:
We can conclude that the difference in simplest form is: