Answer:
x = 4 , y = 2
Step-by-step explanation:
Using the sine / tangent ratios in the right triangle and the exact values
sin60° = 
and tan60° = 
, then
sin60° = 
= 
= ( cross- multiply )
x = 4 ( divide both sides by )
x = 4
and
tan60° = 
= 
= ( multiply both sides by y )
y = 2 ( divide both sides by )
y = 2
Answer:
<u>Equation: 87 + 91 + 86 + x = 360</u>
<u>Solution: 264 + x = 360</u>
<u>x = 360 - 264</u>
<u>x = 96</u>
Step-by-step explanation:
1. Let's review the information given to us to answer the question correctly:
First three Kelsea's test grades : 87, 91 and 86
2. What score must she get on her fourth test to receive at least an A- ?
Define variable: x that represents the grade needed by Kelsea on her fourth test to receive at least an A-
Equation: 87 + 91 + 86 + x = 360
Solution: 264 + x = 360
x = 360 - 264
x = 96
<u>Now you can understand if the previous work you did is correct</u>
Converting to vertex form is one way of doing this
2x^2 + 12x + 19
= 2(x^2 + 6x) + 19
= 2 [ x + 3)^2 - 9] + 19
= 2(x + 3)^2 - 18 + 19
= 2(x + 3)^2 + 1
the minimum value is 1
Answer:
- 2. Rotate the triangle 90º clockwise about the origin and then translate it 10 units left and 9 units down.
Step-by-step explanation:
- <em>Easy way to take one of the vertices and apply the transformations</em>
1. Rotate the triangle 90º counterclockwise about the origin and then translate it 10 units left and 9 units down.
2. Rotate the triangle 90º clockwise about the origin and then translate it 10 units left and 9 units down.
- True
- (-3, 3) → (3, 3) → (3 - 10, 3 - 9) = (-7, -6)
3. Rotate the triangle 90º counterclockwise about the origin then translate it 1 unit up.
4. Rotate the triangle 90º clockwise about the origin then translate it 1 unit up.
