Answer:
10x+6
Step-by-step explanation:
the area of a rectangle is (length+height)*2
so you have to add two representations of the length and height and then multiply it by 2
Answer:
She made a mistake in Step 7.
Step-by-step explanation:
Step 1 through 6 are correct. Only from Step 6 to Step 7 the problem comes in: both sides of the equation are multiplied by x, however the x on the left side, by error, becomes 1. The correct state in Step 7 should look like this:
Answer:
48 sweets
Step-by-step explanation:
5:2:4
Sarah: 5
Natasha:2
Richard:4
To find out how many sweets Richard got, we need to use 60 as the lcm. Since, we have a definite constant of 60 we need to divide it by the presiding ratio.
60/5 = 12
That means for a ratio of 1, everyone in the group recieves 12.
Now, we plug it in for each of the members.
5x = Sarah
2x = Natasha
4x = Richard
Sarah = 60 sweets
Natasha = 24 sweets
Richard = 48 sweets
The equation of the tangent line of f(x) is given by y = f'(x)x + c
f(x) = 2sin x
f'(x) = 2cos x
At x = pi/3
f'(pi/3) = 2 cos(pi/3) = 1
f(pi/3) = 2 sin(pi/3) = √3
√3 = 1(π/3) + c
c = √3 - π/3
Therefore, required equation is
y = x + √3 - π/3
