Answer:
y= -1/9(x-1)^2 +2
Step-by-step explanation:
The vertex is at (1,2) and another point is at (-2,1).
We know the vertex form of a parabola is
y= a(x-h)^2 +k where (h,k) is the vertex
Substituting the vertex in
y= a(x-1)^2 +2
We have another point, (-2,1)
Substitue this in with x=-2 and y =1. This will let us find a
1 = a(-2-1)^2 +2
1 = a (-3)^2 +2
1 = a*9 +2
Subtract 2 from each side
1-2 = 9a +2-2
-1 = 9a
Divide by 9
-1/9 = 9a/9
-1/9 =a
Putting this back into the equation
y= -1/9(x-1)^2 +2
Answer:
285.6 square units
Step-by-step explanation:
The shaded area can be described a a whole circle less a 90° segment, or as a 3/4 circle with a right triangle added. The formula for the segment area is that of a sector less the triangle, so the computation is the same either way.
__
<h3>3/4 circle area</h3>
The area of a circle is given by ...
A = πr²
so 3/4 of a circle is 3/4 this value:
3/4 circle area = (3/4)(π)(10²) = 75π . . . . square units
<h3>Triangle area</h3>
The area of the isosceles right triangle is given by ...
A = 1/2s²
A = 1/2(10²) = 50 . . . . square units
<h3>Shaded area</h3>
The shaded area is the sum of these two ...
shaded area = 3/4 circle area + right triangle area
shaded area = 75π + 50 ≈ 285.6 . . . . square units
2x+6=x+14
move x to the other side
sign changes from +x to -x
2x-x+6= x-x+14
2x-x+6= 14
x+6=14
move +6 to the other side
sign changes from +6 to -6
x+6-6=14-6
Answer: x= 8
<h3> - - - - - - - - - - - - - ~<u>Hello There</u>!~ - - - - - - - - - - - - -
</h3>
➷ When it comes to dividing fractions, there is a rule you must now.
It's called Keep Flip Change.
I'll give you an example:
Keep the first fraction exactly as it is
Flip the second fraction upside down (switch the numerator and denominator around)
Change the sign to a multiplication.
This is how it should look:
Now you just multiply them as you normally would to get an answer of:
➶Hope This Helps You!
➶Good Luck :)
➶Have A Great Day ^-^
↬ Hannah ♡
Answer:
y = -8x + 43
Step-by-step explanation:
Parallel lines have the same slope. The line g is -8x - 1 and has slope -8.
To find a line parallel to it, substitute m= -8 and the point (5,3) to determine th equation.
y - 3 = -8(x - 5)
y - 3 = -8x + 40
y = -8x + 43