Answer:
b = 4
Step-by-step explanation:
the equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k ) are the coordinates of the vertex and a is a multiplier
here ( h, k ) = (2, 5 ) , then
y = a(x - 2)² + 5
to find a substitute any point on the parabola into the equation
using (0, 1 ) then
1 = a(0 - 2)² + 5 ( subtract 5 from both sides )
- 4= a(- 2)²= 4a ( divide both sides by 4 )
- 1 = a
then
y = - ( x - 2)² + 5
= - (x² - 4x + 4) + 5
= - x² + 4x - 4 + 5
= - x² + 4x + 1 ← in the form ax² + bx + c
with b = 4
its 1/25
Step-by-step explanation:
its 1/25 i hope i answered ur question
Step-by-step explanation:
it is angle 10 and angle 11 this is because supplementary angles add up to 180°
The slope of the line perpendicular to the line seen in the picture is - 2 / 3.
<h3>How to determine the slope of a line perpendicular to another line</h3>
The slope of a function is determined by the secant line formula and is defined by the following expression:
m = Δy / Δx (1)
Where:
- Δx - Change in the independent variable.
- Δy - Change in the dependent variable.
- m - Slope of the line.
Besides, by analytical geometry, the slope of a line perpendicular to another line is equal to:
m' = - 1 / m
If we know that Δx = 2 and Δy = 3, then the slope of the line perpendicular to the line seen in the picture is:
m = 3 / 2
m' = - 1 / (3 / 2)
m' = - 2 / 3
The slope of the line perpendicular to the line seen in the picture is - 2 / 3.
To learn more on slopes: brainly.com/question/2491620
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-7n-15≤21. find n
❖ Add 15 to both sides:-
-7n≤21+15
-7n≤36
❖ Now divide by -7 on both sides:-
n≥-5.14 or
n≥-5
The inequality sign changed because we divided both sides by a negative number.
<h3>Good luck.</h3>
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