Answer:
Vertex form: f(x) = -10(x − 2)^2 + 3
Standard form: y = -10x^2 + 40x - 37
Step-by-step explanation:
h and k are the vertex coordinates
Substitute them in the vertex form equation:
f(x) = a(x − 2)^2 + 3
Calculate "a" by replacing "f(x)" with -7 and "x" with 1:
-7 = a(1 − 2)^2 + 3
Simplify:
-7 = a(1 − 2)^2 + 3
-7 = a(-1)^2 + 3
-7 = a + 3
-10 = a
Replace a to get the final vertex form equation:
f(x) = -10(x − 2)^2 + 3
Convert to standard form:
y = -10(x − 2)^2 + 3
Expand using binomial theorem:
y = -10(x^2 − 4x + 4) + 3
Simplify:
y = -10x^2 + 40x - 40 + 3
y = -10x^2 + 40x - 37
Answer:
If you construct the perpendicular bisector of a line segment, every point on the perpendicular bisector will be the same distance from both point A and point B.
To construct an isosceles triangle, you can start from any point on the perpendicular bisector and draw line segments to point A and to point B
True. maths is applied in every day life for instance in science and accounting and as well as when daily with money
The anser is false that what i think ):):(:(:(:(:(:
Answer:
300 m/min
Step-by-step explanation:
Using the general formula of d = rt, where d = distance, r = rate and t = time, we can solve for the missing variable (r, or speed). Given Tara's distance of 1600 m and her total time of 5 minutes and 20 seconds, first convert her time into just minutes:
5 
5
1600 = r(16/3)
Multiply both sides by reciprocal of 16/3: 3/16(1600) = r(16/3)(3/16)
Solve for 'r': 300 meters per minute