Answer: (-5, 2). Please mark me brainliest
Step-by-step explanation: So we are finding the coordinates of point A first we have to mark the x-coordinate (-5) so we have to look at the horizontal line (x-coordinate) and the A is an -5 so the first part should be -5 next we have to do the vertical line (y-coordinate) and it is on the 2 so 2 so the answer is (-5,2).
Answer:
2 hundreths
Step-by-step explanation:
Answer:
50.75
Step-by-step explanation:
253.75/5
Answer:
a = 6 and b = -1.
Step-by-step explanation:
To find the maximum value of y = -x²+ ax + b we differentiate it with respect to x to find the value of x at which it is maximum.
So dy/dx = d(-x²+ ax + b)/dx = -2x + a
we equate it to zero.
-2x + a = 0
-2x = -a
a = 2x
Now, given that x = 3 at the maximum value,
a = 2x = 2(3) = 6
Also, substituting y = 8 and x = 3 into y, we have
y = -x²+ ax + b
8 = -(3)²+ a(3) + b
8 = -9 + 3a + b
3a + b = 8 + 9
3a + b = 17
So, b = 17 - 3a
substituting a = 6, we have
b = 17 - 3(6)
b = 17 - 18
b = -1
So, a = 6 and b = -1.
Answer:
The correct are is 5.5 cm².
Step-by-step explanation:
First of all, Carlos calciulated the are of the rectangle correctly, only the are unit is wrong, it should be 3 cm².
He made a mistake calculating the area of a the triangle: The area of a triangle can be calculated by multiplying the base by the height by 
.
(Comment if you want a deeper explanation on where this comes from)
He mistakenly takes 4 cm for the height, but if you look carefully the height of the triangle in this case is 4 cm - 1.5 cm = 2.5 cm.
That gives 
for the area of the triangle.
Adding those two together gets you a total area of 5.5 cm².
