Any help with the question above??? The graph is attached... ONLY REAL ANSWERS, NO GUESSING!
1 answer:
Answer:
see below
Step-by-step explanation:
The co-vertex is 2 units from center in the x-direction, so the denominator of the x-term will be 2² = 4. Only two answer choices match.
The major axis is parallel to the y-axis, so the foci will have different y-coordinates. Of the two answer choices just found, only one of them has the foci on a vertical line: the choice shown below.
_____
If you actually want to write the equation, note that the center of the ellipse is (-4, -3), and the semi-major axis is 4 units in the y-direction. The standard-form equation will be ...
(x+4)/2² +(y+3)/4² = 1
The distance from center to a focus will be the root of the difference of the denominators, so is √(16-4) = 2√3. That is the distance along the semi-major axis, so puts the foci at (-4, -3±2√3).
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1. It's all about pattern matching, as a lot of math is.
Letter A corresponds to letter J, as both are first in the names of their respective triangles.
Letter B corresponds to letter K, as both are second in the triangle names. Likewise, letter C corresponds to letter L, as both are last.
Realizing this, it should not be too much of a stretch to see
∠B ⇒ ∠K
∠C ⇒ ∠L
AC ⇒ JL
BC ⇒ KL
2. Same deal. Match the patterns. Here, you're counting rings in the angle marks.
1 ⇒ 1, so A ⇒ R
2 ⇒ 2, so B ⇒ Q
since the figures are reportedly similar, you can continue in the same order to finish.
ABCD ~ RQPS
3. The marked triangles cannot be similar. There are a number of ways to figure this. Basically, you want the ratios of sides to be the same for any similar triangles.
Here, you can eliminate the marked ones because the short side is too short relative to the others. (The average of the other two sides is double the short side in the similar triangles.)
Letter A corresponds to letter J, as both are first in the names of their respective triangles.
Letter B corresponds to letter K, as both are second in the triangle names. Likewise, letter C corresponds to letter L, as both are last.
Realizing this, it should not be too much of a stretch to see
∠B ⇒ ∠K
∠C ⇒ ∠L
AC ⇒ JL
BC ⇒ KL
2. Same deal. Match the patterns. Here, you're counting rings in the angle marks.
1 ⇒ 1, so A ⇒ R
2 ⇒ 2, so B ⇒ Q
since the figures are reportedly similar, you can continue in the same order to finish.
ABCD ~ RQPS
3. The marked triangles cannot be similar. There are a number of ways to figure this. Basically, you want the ratios of sides to be the same for any similar triangles.
Here, you can eliminate the marked ones because the short side is too short relative to the others. (The average of the other two sides is double the short side in the similar triangles.)