<u>Answer:</u>
<u>Step-by-step explanation:</u>
<u>Let's find 'c' using Pythagoras theorem.</u>
- => c² = 8.4² + 4.3²
- => c² = 70.56 + 18.49
- => c² = 89.05
- => c = √89.05
- => c = 9.437 = 9.4 (Estimated)
Hoped this helped.
Answer:
1/9
Step-by-step explanation:
Vertex form is y=a(x-h)^2+k, so we can rearrange to that form...
y=3x^2-6x+2 subtract 2 from both sides
y-2=3x^2-6x divide both sides by 3
(y-2)/3=x^2-2x, halve the linear coefficient, square it, add it to both sides...in this case: (-2/2)^2=1 so
(y-2)/3+1=x^2-2x+1 now the right side is a perfect square
(y-2+3)/3=(x-1)^2
(y+1)/3=(x-1)^2 multiply both sides by 3
y+1=3(x-1)^2 subtract 1 from both sides
y=3(x-1)^2-1 so the vertex is:
(1, -1)
...
Now if you'd like you can commit to memory the vertex point for any parabola so you don't have to do the calculations like what we did above. The vertex of any quadratic (parabola), ax^2+bx+c is:
x= -b/(2a), y= (4ac-b^2)/(4a)
Then you will always be able to do a quick calculation of the vertex :)
Answer:
25%
Step-by-step explanation:
To solve this, we can use the percent change formula shown in the picture attached below. is the new value, is the old value, and represents the change. For this problem, 80 is the new value and 64 is the old value. Let's plug those numbers into the formula and solve for the percent change:
×
×
×
Thus, the answer is 25%.