A) The coordinates of R is (-8,9)
B) The length of RS to the nearest tenth of a unit is 17.9
Answer:
there's no picture, repost with a picture or more details
Answer:
He hit 552 home runs in 12 years
Step-by-step explanation:
To solve this problem, we will follow the steps below;
Using proportion;
Let x be the number of home runs he hits in 12 years
46 home runs = 1 year
x = 12
cross -multiply
x × 1 = 46× 12
x = 552 home runs
Therefore, he hit 552 home runs in 12 years
Answer:
sin(2A) = (2√2 + √3) / 6
Step-by-step explanation:
2A = (A+B) + (A−B)
sin(2A) = sin((A+B) + (A−B))
Angle sum formula:
sin(2A) = sin(A+B) cos(A−B) + sin(A−B) cos(A+B)
sin(2A) = 1/2 cos(A−B) + 1/3 cos(A+B)
Pythagorean identity:
sin(2A) = 1/2 √[1 − sin²(A−B)] + 1/3 √[1 − sin²(A+B)]
sin(2A) = 1/2 √(1 − 1/9) + 1/3 √(1 − 1/4)
sin(2A) = 1/2 √(8/9) + 1/3 √(3/4)
sin(2A) = 1/3 √2 + 1/6 √3
sin(2A) = (2√2 + √3) / 6
<h3>Answer:</h3>
- Vertical scaling by a factor of 1/2
- Vertical translation 5 units downward
<h3>Explanation: </h3>
Multiplying a function value by a constant effectively applies a vertical scale factor to that function. The scale factor is the constant. Here, the parent function x² is multiplied by 1/2 (to give 1/2x²). The vertical scale factor is 1/2.
Adding a constant to a function value causes a vertical translation of that function. Every output value is moved upward (translated) by the amount that is added. Here, that added amount is -5, so the vertical movement is downward 5 units.
For f(x) = x², vertical scaling by a factor of 1/2 makes it 1/2x². Translating that downward 5 units makes it ...
... y = 1/2x² - 5 . . . . . . . . . x² scaled and translated
