Answer:
The dimensions of rectangle are:
Width = 16 inches
Length = 106 inches
Step-by-step explanation:
Perimeter of rectangle = 244 inches
Let Width of rectangle = w
Length of rectangle = w+90
We need to find the dimensions (length and width) of the carpet
The formula used will be: 
Putting values and making equation:
So, we get w = 16
The width w = 16 inches
Now, finding length = w+ 90 = 16+90 = 106 inches
Therefore the dimensions of rectangle are:
Width = 16 inches
Length = 106 inches
Answer:
y = - 4x
Step-by-step explanation:
Here, it is given that the slope of a line is - 4 and the y-intercept is 0.
Now, if the slope of a straight line is m and the y-axis intercept is c, the by slope-intercept form the equation of the straight line is given as
y = mx + c ......... (1)
Therefore, in our case m = - 4 and c = 0 and using equation (1), the equation of the given straight line is
y = - 4x (Answer)
Answer:
10 carbs in snack bars
14 carbs in milk
Step-by-step explanation:
Glasses of Milk = m
Snack Bars = s
I am going to make this a system of equations:
2m + 3s = 58
4m + 2s = 76
I am going to simplify one of them for a s:
4m + 2s = 76
2s = 76 - 4m
s = 38 - 2m
I am going to insert this into the other equation:
2m + 3s = 58
2m + 3(38 - 2m) = 58
2m + 114 - 6m = 58
(-4)m + 114 = 58
(-4)m = -56
m = 14 calories
I am going to plug this m into one of the equations (doesn't matter which):
2(14) + 3s = 58
28 + 3s = 58
3s = 30
s = 10
You can plug these values back into each of the equations to make sure they work.
Hope it helps! UvU
Answer:
A. (2i)(8) = d. 16i
B. 16i³ = b. -16i
C. (2i)⁴ = a. 16
D. (2i)(8i) = c. -16
Step-by-step explanation:
A. Multiply 2i by 8 to get 16i, which corresponds to d.
B. The exponent is 3 more than a mulitple of 4 in 16i³, so the answer is negative. -16i corresponds to b.
C. (2i)⁴ has an exponent that is a multiple of 4, so the i isn't needed. 16 corresponds to a.
D. (2i)(8i) simplifies to 2(8) * i². The exponent is 2 more than a multiple of 4, so the answer is negative, without an i. -16 corresponds to c.
