Four runners, Fran, Gloria, Haley, and Imani, compete on a relay team. Haley is the first runner in the relay. The other runners
2 answers:
Answer: The sample space showing the possible orders of the other three runners is
Step-by-step explanation:
Since we have given that
Number of runners = 4
Four runners are as follows:
Fran, Gloria, Haley, and Imani.
Since Haley is the first runner in the relay,
So, Sample space showing the possible order of the other three runners.
Hence, the sample space showing the possible orders of the other three runners is
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Answer:
Ratio of area of triangles MNP and ABC is 1.05
Step-by-step explanation:
There are 2 triangles ABC and MNP.
We are given that ,m∠A = m∠M.
AB = 16 and AC = 10.
MN = 7 and MP = 24.
Area of a triangle ∝ Product of any two sides.
So area of triangle ABC ∝ 16
Area of triangle ABC = 160 ,
where k is a constant.
So area of triangle MNP ∝ 7
Area of triangle MNP = 168
So ratio of area of triangles =
=
= 1.05
Step 1
Given;
Required; To find the center that eliminates the linear terms
Step 2
Step 3
Substitute a,d,e into the vertex form
Step 4
Completing the square for -y²+4y
Step 5
Substitute a,d,e into the vertex form
Step 6
Step 7
Hence the answer is (-3,2)