Answer:
6 and -8
Step-by-step explanation:
Solve:
xy = 48
x + y = -2
You can say y = -2-x = -(x+2) and then substitute that in the first:
-x(x+2) = 48
-x² -2x - 48 = 0
x² + 2x + 48 = 0
Quadratic formula can do the rest if you don't "see" the factorization.
Answer:
(x, y) = (0, -14), (2, -8), (3, -5)
Step-by-step explanation:
Put the given values into the equation and solve.
<u>x = 0</u>
y = 3·0 -14 = -14
<u>y = -8</u>
-8 = 3x -14
6 = 3x . . . . . . add 14
2 = x . . . . . . . divide by 3
<u>x = 3</u>
y = 3·3 -14 = -5
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The ordered pairs in your table are ...
(x, y) = (0, -14), (2, -8), (3, -5)
_____
<em>Comment on the approach</em>
In this problem, you are only asked for one x-value for a given y-value. If there were more, you would solve the equation generically (x = (y+14)/3) and use that to compute the desired values of x.
Answer:
2.5
Step-by-step explanation:
A triangle ABC with vertices A(0, 0), B(0, 4), and C(6, 0) is dilated to form a triangle A'B'C' with vertices A′(0, 0), B′(0, 10), and C′(15, 0). If the center of dilation is point A or A' (the origin), then
Since
- AB=4;
- A'B'=10;
- AC=6;
- A'C'=15,
then the scale factor of the dilation is
Answer:
(A) 15 centimeters
Step-by-step explanation:
A midsegment of a triangle is always 2 things:
Half the size of the bottom of the triangle (in this case AC)
Parallel to the bottom of the triangle.
Since ABC is an equilateral triangle, we know that EVERY side is 30cm, including AC.
So the midsegment of ABC, LM, must be 15 cm.
Hope this helped!
the slope of the line is -6/5
