Answer:
Step-by-step explanation:
Let use the following trigonometric identities:
Then, the equation is simplified by substituting its components:
Answer:
10 + 9 = n
19 apples
Step-by-step explanation:
80 ÷ 8 = y and 56 ÷ 6 = a
n = y + a
80 ÷ 8 × 8 = y × 8
80 = 8y
80 ÷ 8 = 8y ÷ 8
y = 10
54 ÷ 6 = a
54 ÷ 6 × 6 = a × 6
6a = 54
6a ÷ 6 = 54 ÷ 6
a = 9
10 + 9 = n
19 = n
Answer:
all real numbers greater than or equal to -1
Step-by-step explanation:
In order to solve this problem we need to know the vertex and the direction its pointing.
First we expand,
x^2-6x+8
To find the x value of the vertex we use this formula (-b/2a).
-(-6)/2(1) = 3
Now we plug 3 in the equation to get the y value,
(3)^2 - 6(3) + 8 = 9 - 18 + 8 = -1
The vertex is (3,-1)
We know the graph points up because x^2 is positive
The vertex is the lowest point, so we now know that -1 is the starting range and if the graph is pointing up, that means all values greater than -1.
This leads to our answer all real numbers greater than or equal to -1.
This is basically just saying you'll go outside Tuesday because it's sunny. Sunny weather is nice weather.
9514 1404 393
Answer:
2) x = 7
3) x = 5
Step-by-step explanation:
When a transversal crosses parallel lines, all of the acute angles are congruent, and all of the obtuse angles are congruent. When it crosses at right angle, all of the angles are right angles.
2) All of the angles are right angles.
11x +13 = 90
11x = 77 . . . . . . subtract 13
x = 7 . . . . . . . divide by 11
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3) The two marked angles are acute.
16x = 80 . . . . the acute angles are congruent
x = 5 . . . . . . divide by 16
