Answer: 7x+y+8
Step-by-step explanation:
Combining like terms is just like what it sounds. You take the like terms, or terms that have the same variables and such, and add them together.
For this problem, we can see that 12x and -5x are like terms because they both consist of a numerical coefficient and the variable x.
We can see that -3y and 4y are like terms because they both have a numerical coefficient and y for variable.
Now, we can combine like terms.
12x-3y+8-5x+4y [combine like terms]
7x+y+8
You know that the radical is in the simplest expression form if there are not squares or cubed roots in the radical. If there is then it can be simplified more. When the radical can no longer be simplified then it is in the simplest form
Answer:
12.4967 m
≈ 12.5 m
Step-by-step explanation:
From the solution diagram attached, to find /AB/, we apply sine rule:
AB/Sin 140° =AD/Sin 15°
AB = 10/Sin 15° x Sin 140°
= 24.8372 m
To calculate the height of the pole we will calculate BC first. Using the right angle triangle ∠ABC, we have:
Sin ∅ = BC/AB
Sin 25° = BC/ 24.8372
BC = 24.8372 Sin 25°
= 10.4967 m
The height of the pole = BC + 2.0
= 10.4967 + 2.0
= 12.4967
≈ 12.5 m
Answer:
Shaquille made 10 two-point baskets and 15 free throws.
Step-by-step explanation:
To solve this, we need to set up a system of equations in which the first equation is the total number of baskets. Let x equal free throws and y equal two-point baskets.
x + y = 25
The next equation can be for his total number of points. In this one, two-point baskets must be multiplied by 2, since he gets 2 points for each one he makes.
x + 2y = 40
Now we can use elimination to solve. First multiply the first equation by -1 and then add together.
-x - y = -25
x + 2y = 40
-----------------
y = 15
Now that we have the value of y, we can solve for x.
x + y = 25
x + 15 = 25
x = 10
Answer:
8.485 units
Step-by-step explanation:
|AB|=