Answer: Crayfish, 25 s
Step-by-step explanation:
Given
The length of race is 60 cm
Flicker gets a 10 cm head-start
Cray fish covers 6 cm in 5 s i.e. its speed is
Flicker covers 4 cm in 5 s, its speed is
Time taken by Cray fish to cover the race is
Time taken by flicker to cover race with 10 cm head start
Time taken by crayfish is less. Hence, crayfish wins the race
When they both covers the same distance, they tied momentarily i.e.
After 25 s, they tied the race.
3=−(−y+6)
Simplify:
3=−(−y+6)
3=y+−6(Distribute)
3=y−6
Flip the equation.
y−6=3
Add 6 to both sides.
y−6+6=3+6
y=9
Determine the base of right triangle by using pythagoras theorem.
![\begin{gathered} b=\sqrt[]{(15.7)^2-(8.5)^2} \\ =\sqrt[]{174.24} \\ =13.2 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20b%3D%5Csqrt%5B%5D%7B%2815.7%29%5E2-%288.5%29%5E2%7D%20%5C%5C%20%3D%5Csqrt%5B%5D%7B174.24%7D%20%5C%5C%20%3D13.2%20%5Cend%7Bgathered%7D)
Determine the area of base of figure.
Determine the volume of the figure.
So volume of the figure is 347.82 yards square.
Answer:
f(x) = 2(x -3)² +5 or f(x) = 2x² -12x +23
Step-by-step explanation:
The equation of a quadratic is easily written in vertex form when the coordinates of the vertex are given. Here, the point one horizontal unit from the vertex is 2 vertical units higher, indicating the vertical scale factor is +2.
__
<h3>vertex form</h3>
The vertex form equation for a parabola is ...
f(x) = a(x -h)² +k . . . . . . vertex (h, k); vertical scale factor 'a'
<h3>equation</h3>
For vertex (h, k) = (3, 5) and vertical scale factor a=2, the vertex form equation of the parabola is ...
f(x) = 2(x -3)² +5 . . . . . vertex form equation
Expanded to standard form, this is ...
f(x) = 2(x² -6x +9) +5
f(x) = 2x² -12x +23 . . . . . standard form equation
Answer:
x = 3 + i+√5
x = 3 + i-√5
OR
x= 4 - √6
x= 4 +√6
Step-by-step explanation:
(x - 3)² +6=1
(x - 3)² + 6 = 1
-6 -6
sq root > (x - 3)² = -5
x-3 = i±√5 (i because neg. number)
x = 3 + i±√5
since its ±
two possible answers
x = 3 + i+√5
x = 3 + i-√5
Or
(x - 3)² +6=1
(x-3)+ √6= √ 1
x-3 = 1 - (±) √6
x= 4 - (±) √6
Answers
x= 4 - √6
x= 4 +√6
