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Elza [17]
3 years ago
8

Please help me with the top one please

Mathematics
1 answer:
likoan [24]3 years ago
5 0

Answer:

Ramiro is correct.

You cannot identify congruent triangles with only angles Angle-Angle-Angle is not one of the rules of congruence. They could have different sizes with the same angles which doesn't makes them congruent. They are similar though. Once you find the missing angles with the equations 62+39+C=180 and 39+79+X=180 the corresponding angles are congruent. So the triangles are not congruent, but are similar.

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Derive the equation of the parabola with a focus at (2, −1) and a directrix of y = −one half.
yKpoI14uk [10]
Basically, the parabola has to have all points that are equidistant from the focus and the directrix, the directrix being a horizontal line, and the focus being a point given. To derive an equation from this you need to use the distance formula which I'm guessing you already know because you're already in precalc.
The gist of it is that we have a random point on the parabola (x,y), and the point (x,y) will be equidistant from both the focus and the directrix. If we use the distance formula, you get something like this:
\sqrt{(y-(- \frac{1}{2} ))^2} = \sqrt{(x-2)^2+(y-(-1)^2}
The square root of y-(-1/2) coming from the directrix, and the righthand side of the equal sign being derived from the focus.
All you need to do is simplify now!
<span>(y+\frac{1}{2})^2 = (x-2)^2+(y+1)^2 \\\ y^2+y+ \frac{1}{4} = x^2-4x+4 + y^2+2y+1 \\\ -y-\frac{3}{4} = x^2-4x+4 \\\ -y-\frac{3}{4} = (x-2)^2 \\\ -y = (x-2)^2+\frac{3}{4} \\\ y = -(x-2)^2-\frac{3}{4}
</span>
Hope I helped! 
3 0
3 years ago
Read 2 more answers
What number would you multiply the 1st equation by to eliminate y? -4x - y = -11 -6x - 3y= -27
Degger [83]

Answer:

Multiply 1st equation by 3

Step-by-step explanation:

To eliminate -3y, we must multiply the 1st equation by such a number that the -y becomes -3y. This can be done by multiplying the 1st equation by 3.

If you would like more tutoring in math or other subjects for FREE, check out growthinyouth.org.

3 0
3 years ago
Read 2 more answers
What is X + 96 = 96 + X
vfiekz [6]

Answer:

commutative property i believe

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
SAMPLE QUESTION 2
Arlecino [84]

Answer:

4 rth answer is correct if it is wrong plz comment

Step-by-step explanation:

=14-3/21

=11/21

=

2-1/6

1/6

4-3/12

1/12

5 0
3 years ago
Which is greater 8.016 or 8.16
shusha [124]
8.16 because .016 is not as close to a whole as .16
7 0
3 years ago
Read 2 more answers
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