The segments shown below form a triangle
2 answers:
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PART A
The given equation is
In order to find the maximum height, we write the function in the vertex form.
We factor -16 out of the first two terms to get,
We add and subtract
to get,
We again factor -16 out of the first two terms to get,
This implies that,
The quadratic trinomial above is a perfect square.
This finally simplifies to,
The vertex of this function is
The y-value of the vertex is the maximum value.
Therefore the maximum value is,
PART B
When the ball hits the ground,
This implies that,
We add -29 to both sides to get,
This implies that,
or
Since time cannot be negative, we discard the negative value and pick,
The given equation is
In order to find the maximum height, we write the function in the vertex form.
We factor -16 out of the first two terms to get,
We add and subtract
to get,
We again factor -16 out of the first two terms to get,
This implies that,
The quadratic trinomial above is a perfect square.
This finally simplifies to,
The vertex of this function is
The y-value of the vertex is the maximum value.
Therefore the maximum value is,
PART B
When the ball hits the ground,
This implies that,
We add -29 to both sides to get,
This implies that,
or
Since time cannot be negative, we discard the negative value and pick,
Answer:
4.67 inches
Step-by-step explanation:
Shanna is planning a trip from Dallas, Texas, to San Diego, California.
She will travel about = 1,400 miles
The scale of a map is 300 miles = 1 inches
The trip of 1,400 miles =
= 4.66666 inches ≈ 4.67 inches
Her trip is 4.67 inches far on the map.
Only option 1 and 4 are true.
Points S, U, and T are the midpoints of the sides of ΔPQR.
ΔSUT is inside of ΔPQR. Points S, U, and T are the midpoints of ΔPQR.
Which statements are correct? Check all that apply.
1. QP = UT
2. One-halfTS = RQ
3. SU = PR
4. SU ∥ RP
5. UT ⊥ RP
Given to us,
S, U, and T are the midpoints of the sides of ΔPQR.
Using Triangle Midpoint Theorem, which states that the line segment connecting the midpoints of two sides of a triangle is parallel to the third side and is congruent to one half of the third side.
Therefore, only option 1 and 4 are true.
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