Answer:
30
Step-by-step explanation:
Substitute the given values for y and z into the expression
zy + 4y = (2 × 5) + (4 × 5) = 10 + 20 = 30
Answer:
- Over the real numbers there are no numbers to add to -2 and multiply to 3
- Over the complex set of numbers, the numbers that add to -2 and multiply to 3 are
Step-by-step explanation:
Let and be the numbers.
We know that they add to -2, so equation (1).
We know that they multiply to 3, so equation (2).
To find our numbers, let's solve our system of equations step-by-step:
Step 1. Solve for in equation (1):
equation (3)
Step 2. Replace equation (3) in equation (2) and solve for :
Using the quadratic formula with a=-1, b=-2, and c=-3 we get that
equation (4)
equation (5)
As you can see, the system of equation doesn't have a solution over the reals, but if you need a complex answer, let's keep on.
Step 4. Replace equations (4) and (5) in equation (3) and solve for :
- For
- For
The solutions of our system of equations are:
Answer:
Option B. 9.11
Step-by-step explanation:
To find the length of line AB, we must first of all calculate the value of θ as shown in the attached photo.
The value of θ can be obtained as follow:
θ + 39° + 120° = 180° (sum of angles in a triangle)
θ + 159° = 180°
Collect like terms
θ = 180° – 159°
θ = 21°
Thus, we can obtain the length of line AB by using sine rule as illustrated below:
b/Sine B = c/Sine C
b = 16
Angle B = 39°
Sine C = 21°
c =?
b/Sine B = c/Sine C
16/Sine 39° = c/Sine 21°
Cross multiply
c × Sine 39° = 16 × Sine 21°
Divide both side by Sine 39°
c = (16 × Sine 21°) / Sine 39°
c = 9.11
Therefore, the length of line AB is 9.11
Answer:
A
Step-by-step explanation:
The best way to do is this by cancellation. Cancel out the answers that are incorrect.
D is incorrect. There are 100 male students and 100 female students. This table shows that there 94 male students and 106 female students.
C and B are both incorrect because they say that there are 42 male students that dislike peas. Really, there are 42 male students that like peas.
This leaves you with letter A. The table matches the data given, so this is the answer.
1 pint = 2 cups
2 pints = 4 cups
3 pints = 6 cups
4 pints = 8 cups
5 pints = 10 cups
6 pints = 12 cups
7 pints = 14 cups
8 pints = 16 cups
9 pints = 18 cups
10 pints = 20 cups
11 pints = 22 cups
12 pints = 24 cups
13 pints = 26 cups
14 pints = 28 cups
15 pints = 30 cups