Answer:
see below
Step-by-step explanation:
f(x) = 4x^2 + 8x − 5
To find the x intercepts set y = 0
0 =4x^2 + 8x − 5
Factor
0=(2x-1)(2x+5)
Using the zero product property
2x-1 =0 2x+5 =0
2x=1 2x = -5
x = 1/2 x = -5/2
The x intercepts are ( 1/2 ,0) and ( -5/2,0)
Rewriting in vertex form by completing the square
4 ( x^2 + 2x) -5
4 ( x^2+2x +1) -4*1 -5
4 ( x+1) ^2 -9
Vertex form is
a( x-h) ^2 +k where ( h,k) is the vertex
The vertex is ( -1,-9)
We know it opens upwards since a > 0
Plot the vertex and the x intercepts
The graph is symmetric on based on the vertex
To find the length of the altitude, we have to use the ratios of the similar sides.
Let the length of altitude=x
Ratio of sides:
So length of altitude is 9 cm.
Answer: 9 cm
Answer:
Slope= 1/3
Step-by-step explanation:
find any 2 random points. Find the height difference and put it as the numerator of a fraction. Find the distance horizontally and put it as the denominator of the same fraction.
Let's use (10, 60) and (40, 70)
40-10=30 (denominator
70-60=10 (numerator)
10/30 (simplify)
1/3
Answer: either 46 or 25 is your answer
Step-by-step explanation: Brainliest pls
The answer to the question is D
