what is the equation in slope form of the line that is parallel to the given line and passes through the point (-3,1)
1 answer:
Answer:
D
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
Calculate the slope of the given line using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (- 2, - 4) and (x₂, y₂ ) = (2, 2) ← 2 points on the line
m = =
=
Parallel lines have equal slopes and using (a, b) = (- 3, 1), then
y - 1 = (x - (- 3)), that is
y - 1 = (x + 3) ← in point- slope form
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Answer:
A.
Step-by-step explanation:
We are told that three that the sum of 5 and a number is between 12 and 21 which means:
Divide all sides by 3:
Subtract 5 on both sides:
Simplify:
So the answer is A.
Slightly different route:
Distribute 3 to the terms in the ( ) next to it:
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Divide both sides by 3:
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<h2><em>The area of the pyramid net is 12 units</em></h2>
Step 1
Find the area of the Square in the middle
Formula for finding square:
Let's apply the formula and find our answer:
<em>The area of the square is 4 units</em>
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Step 2
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As you know, the formula for finding 1 triangle is as follows:
But, to find the area of 2 triangles, we can use this formula:
And to find 4 of them (with same dimensions;as required here), we can use this one:
Let's apply the formula then! What are we waiting for!!!!
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<em>The area of ALL of the triangles around the square is 8 units</em>
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Step 3
Add all areas to find FINAL ANSWER!
Easy!
4+8=12
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