Answer:
The value is 24 because when you do this you mutilply all the numbers together
Step-by-step explanation:
2x3=6
2x2=4
6x4=24
3. First start by making the mixed number into an improper fraction
15/5 butter for 1 batch; 15/4 batches
then simply multiply
11 and 1/4 cups of butter are needed to make 3 and 3/4 batches.
5. (I might not have gotten this one right btw) First you need to figure out how many books she read in one day.
6/5 = 1.2
Then multiply this number by 10
1.2 * 10 = 12
then multiply 1.2 * 20
1.2 * 20 =24
So Mr Barker can read 12 books in 10 days, and 24 books in 20 days.
6. change the mixed numbers to improper fractions
7/4 cups of cereal and 9/2 bowls of cereal
multiply the fractions together
7/4 * 9/2 = 63/8
change back to a mixed number
7 and 7/8
So Mr. N eats 7 and 7/8 cups of cereal every week (who measures out their cereal each morning anyway :), hope this helps!)
RTP: [a tan(u) + b]² + [b tan(u) - a]² = (a² + b²) sec²(u)
Proving LHS = RHS:
LHS = [a tan(u) + b]² + [b tan(u) - a]²
= a² tan²(u) + 2ab tan(u) + b² + b² tan²(u) - 2ab tan(u) + a²
= (a² + b²) tan²(u) + (a² + b²)
= (a² + b²)[tan²(u) + 1]
= (a² + b²) sec²(u), using the identity: tan²(x) + 1 = sec²(x)
= RHS
The zeros of a quadratic equation are equal to the x-intercepts of its graph. In other words, you must find the x-value that causes the expression to equal zero. Start by adding 4 to both sides of the equation:
X² - 5x + 4 = 0
Factor the equation:
(x - 1)(x - 4) = 0
Now calculate each piece separately, starting with the first one:
x - 1 = 0
Add 1 to both sides of the equation:
x = 1
We have proven that x = 1. Now calculate the second piece:
x - 4 = 0
Add 4 to both sides of the equation:
x = 4
We have proven that x = 4. Consequently, we have proven that (x = 1) and (x = 4) are the two zeros of this quadratic equation.
I hope this helps!
Answer:
∠ULE = 60°
Step-by-step explanation:
The exterior angle marked 109° is the sum of the remote interior angles marked 49° and x.
109° = 49° + ∠ULE
∠ULE = 109° -49°
∠ULE = 60°
