don completes the square for the function y=x^2+6x+3. which of the following function reveals the vertex of the parabola?
Answers
x^2+6x+9=-3+9
(x+3)^2=6
(-6/2)=-3
(-3)^2+6(-3)+9=6
9-18+9=6
y=-6
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Answers
Answer:
A'(6,8)
B'(6,2)
C'(2,2)
Step-by-step explanation:
You can find the vertices by finding the X and Y coordinates in the plane, after rotating it 180 degrees.
B) x = 2 ± 2√5 / 3
C) x = -4 ± 4√5 / 6
D) x = -2 ± 2i√5 / 3
Answers
Answers
Answer:
The treasure is 0.8 inches from the south edge on Ali's map.
Step-by-step explanation:
Scaling factor, f = (Original length)/(Scalet length)...(i)
Let and
be the scaling factors used by Ali and Kiana respectively.
Given that the field is 400 feet= 400x12 inches wide and Ali made an 8-inch-wide map to record its location.
So, ...(ii)
Kiana made her map using a scale of 1-inch to 20 feet=20x12 inches.
So, ...(iii)
As on Kiana's map, the treasure is 2 inches from the south edge of the field,
so, from equations (i), and (ii), the original length of the treasure for the south edge of the field
=2x240
=480 inches
Now, again from the equation (i) and (ii), the scaled length of the treasure on Ali's map
= 480/f_1
=480/600
=0.8 inches
Hence, the treasure is 0.8 inches from the south edge on Ali's map.
Answers
Answer:
The price of bike after 5 year in nearest dollars is $ 164
Step-by-step explanation:
We have formula
Where
A= Price of dirt bike after t years
P= Initial price of bike
R= rate of decrease
t= time in years
It is given that the price of dirt bike today is $ 500, and its price is decreasing by 20% each year. We need to find the price after 5 years
So we have
P = $500
R = 20 % = 0.2
t= 5 years
now we plug these values in the formula, so we have the price of dirt bike after 5 years is given by
Hence the price of bike after 5 year in nearest dollars is $ 164
Tell whether the side lengths form a Pythagorean triple.
o yes
no
Answers
Answer:
x = √72 and yes, it forms a Pythagorean triple
Step-by-step explanation:
a^2 + b^2 = c^2,
3 is a, x is b, anf 9 is c
3^2 + x^2 = 9^2
9 + x^2 = 81
Subtract 9 from both sides
x^2 = 72
x = √72
a Pythagorean triple is a^2 + b^2 = c^2, and this has it
Answer:
X = 9.4
Step-by-step explanation:
Pythagorean Theorem:
Formula: a² + b² = c²
- 9 x 9 = 81
- 3 x 3 = 9
- 81 + 9 = 90
- √90 = 9.48 (Rounded 9.5)
- A Pythagorean triple consists of any three positive integers.
Answers
The distance between the mountains and her residence is 315 miles.
What is speed?
Speed is defined as the ratio of the time distance traveled by the body to the time taken by the body to cover the distance. Speed is the ratio of the distance traveled by time. The unit of speed in miles per hour.
Given that Amanda drove to the mountains last weekend. there was heavy traffic on the way there, and the trip took 7 hours. when Amanda drove home, there was no traffic and the trip only took 5 hours. if her average rate was 18 miles per hour faster on the trip home.
The distance will be calculated as,
Distance = S x 7
The other distance is,
Distance = 5 ( S + 18 )
7S = 5S + 90
S = 45 miles
Distance = 45 x 7
Distance = 315 miles
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