Answer:
Step-by-step explanation:
y=mx+b
m=(y2-y1)/((x2-x1)=(2-4)/(3- -1)=-2/4=-.5
y=-.5(3)+b, using point (3,2)
2=-1.5+b
b=3.5
y= -.5x+3.5
The area of the scale drawing will be:
600 square feet.
Step-by-step explanation:
The actual length of a wall in the room is 46 feet and the actual width of the room is 69 feet.
It is given that:
The scale factor of a room for a scale drawing is 2.3.
The length of the room according to the scale drawing will be:
46÷2.3=20 feet
and the width of the room according to scale drawing will be:
69÷2.3=30 feet
We know that the wall is in the shape of a rectangle.
This means that the area of scale drawing will be:
Length×Width
= 20×30
= 600 square feet.
Answer:
I think youre trying to ask the weight of one of the bags
Step-by-step explanation:
the answer is 35.5 you take the total weight and divide it by the number of bags hope this helps
50 miles per hour as they have been driving at a constant speed of 50 miles per hour throughout the trip.300/6=50 and 250/5=50
Answer:
Below in bold.
Step-by-step explanation:
A. −16x2 + 24x + 16 = 0
-8(2x2 - 3x - 2) = 0
-8(2x + 1 )(x - 2) = 0
x = -0.5, 2.
So the x-intercepts are (-0/5, 0) and (2, 0).
B. As the leading coefficients is negative (-16) the vertex of the graph will be a Maximum.
To find its coordinates we convert the function to vertex form:
f(x) = −16x2 + 24x + 16
= -16(x^2 - 1.5x) + 16
Completing the square on contents of the parentheses:
= -16 [(x - 0.75)^2 - 0.75^2] + 16
= -16(x - 0.75)^2 - 16 * -0.75^2 + 16
= -16(x - 0.75)^2 + 9 + 16
= -16(x - 0.75)^2 + 25.
So the coordinates of the vertex are (0.75, 25)