Answer:
Step-by-step explanation:
Given the equation solved by Morgan, Dakota and Taylor expressed as 7x+5x+1=73, to get the value of x, the valid steps are as shown;
7x+5x+1=73
take the sum of 7x and 5x
12x+ 1 = 73
subtract 1 from both sides
12x+1-1 = 73-1
12x = 72
Divide both sides by 12
12x/12 = 72/12
x = 6
Based on the calculation above, the students with invalid first step is Dakota.
<em>Dakota added 5x with 1 to get 6x which is an invalid step because 1 is not attached to a variable x. A function cannot be added to a constant hence making his first step invalid.</em>
Answer:
The volume of the solid is the volume of the prism minus the volume of the cylinder.
For the cylinder, diameter = d = 4 cm
radius = d/2 = (4 cm)/2 = 2 cm
V = volume of prism - volume of cylinder
The volume of a prism is length times width times height.
The volume of a cylinder is pi times the square of the radius times the height.
V = LWH - (pi)r^2h
V = 6 cm * 6 cm * 15 cm - (pi)(2 cm)^2(15 cm)
V = 540 cm^3 - 60pi cm^3
V = (540 - 60pi) cm^3
3. 10 because the opposite of a negative is a positive number
Answer:
Step-by-step explanation:
The equation of a circle with center (h,k) and radius r is given by the formula;
Given (h,k)=(0,0) and r=4, we substitute the values to obtain;
The required equation is
Answer:
A
Step-by-step explanation:
since the slope (2) is positive the graph is similar to y=x, so graphs B and D are eliminated
so when x=1 we have
y=2(1)-3
y=2-3
y=-1
so the point is (1,-1), graph C eliminated
so it's A
