If point Q is reflected across x = 1, what are the coordinates of its reflection image?
Answers
Answer:
(-1, -2) last answer
Step-by-step explanation:
x = 1 is a vertical line
Answer:
(-1, -2)
Step-by-step explanation:
This is because the x-coordinate goes 2 units left to the line x = 1 and the y-coordinate remains the same.
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Answers
The average rate of change of f(x) over the interval -1 ≤ x ≤ 1 is -1.
Given the functionover the interval -1 ≤ x ≤ 1, we need to calculate the difference in the function values at the endpoints of the interval and divide it by the difference in the x-values.
The value of f(x) at the endpoint x = -1:
f(-1) = (-1)² - (-1) - 1 = 1 + 1 - 1 = 1
Now, the value of f(x) at the endpoint x = 1:
f(1) = (1)² - (1) - 1 = 1 - 1 - 1 = -1
The difference in the function values is:
f(1) - f(-1) = -1 - 1 = -2
The difference in the x-values is:
1 - (-1) = 2
Now, we can calculate the average rate of change:
Average rate of change = (f(1) - f(-1)) / (1 - (-1)) = -2 / 2 = -1
Therefore, the average rate of change of f(x) over the interval -1 ≤ x ≤ 1 is -1.
Learn more about average rate;
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Answer:
ff has an average rate of change of zero over the interval
−
1
≤
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≤
2
−1≤x≤2minus, 1, is less than or equal to, x, is less than or equal to, 2.
Step-by-step explanation:
-1≤x≤2
Answers
Then if each game cost $20 they could get 4 games and have $5 left over
Answers
Answers
Answer:
commutative property
Step-by-step explanation:
The commutative property is a math rule that says that the order in which we multiply numbers does not change the product.
b. Find the length of side a to two decimal places in three different ways.
2. Solve the triangles below.
Answers
A) b = 10.57
B) a = 22.66
#2)
A) a = 1.35 (across from the 15° angle)
∠C = 50.07° (the angle at the top of the triangle)
∠B = 114.93°
B) ∠A = 83°
b = 10.77 (across from angle B)
a = 15.11 (across from angle A)
Explanation
#1)
A) Since b is across from the 25° angle and we have the hypotenuse, we have the information for the sine ratio (opposite/hypotenuse):
sin 25 = b/25
Multiply both sides by 25:
25*sin 25 = (b/25)*25
25*sin 25 = b
10.57 = b
B) We will first use the cosine ratio. Side a is the side adjacent to the angle and we have the hypotenuse, and the cosine ratio is adjacent/hypotenuse:
cos 25 = a/25
Multiply both sides by 25:
25*cos 25 = (a/25)*25
25*cos 25 = a
22.66 = a
Now we will use the Pythagorean theorem. We know from part a that side b = 10.57, and the figure has a hypotenuse of 25:
a²+(10.57)² = 25²
a² + 111.7249 = 625
Subtract 111.7249 from both sides:
a²+111.7249-111.7249=625-111.7249
a² = 513.2751
Take the square root of both sides:
√a² = √513.2751
a = 22.66
#2)
A) Let A be the 15° angle, B be the angle to the right and C be the angle at the top of the triangle. This means side a is across from angle A, side B is across from angle B, and side c is across from angle C.
Using the law of cosines,
a²=3²+4²-2(3)(4)cos(15)
a²=9+16-24cos(15)
a²=25-24cos(15)
a²=1.8178
Take the square root of both sides:
√a² = √1.8178
a = 1.3483≈1.35
Now we can use the Law of Sines to find angle C:
sin 15/1.35 = sin C/4
Cross multiply:
4*sin 15 = 1.35* sin C
Divide both sides by 1.35:
(4*sin 15)/1.35 = (1.35*sin C)/1.35
(4*sin 15)/1.35 = sin C
Take the inverse sine of both sides:
sin⁻¹((4*sin 15)/1.35) = sin⁻¹(sin C)
sin⁻¹((4*sin 15)/1.35) = C
50.07 = C
To find angle B, add angle A and angle C together and subtract from 180:
B=180-(50.07+15) = 180-65.07 = 114.93
B) To find angle A, add angle B and angle C together and subtract from 180:
180-(52+45) = 180-97 = 83
Now use the Law of Sines to find side b (across from angle B):
sin 52/12 = sin 45/b
Cross multiply:
b*sin 52 = 12*sin 45
Divide both sides by sin 52:
(b*sin 52)/(sin 52) = (12*sin 45)/(sin 52)
b = 10.77
Find side a using the Law of Sines:
sin 83/a = sin 52/12
Cross multiply:
12*sin 83 = a*sin 52
Divide both sides by sin 52:
(12*sin 83)/(sin 52) = (a*sin 52)/(sin 52)
15.11 = a
a. True
b. False
Answers
Answer:
false on folks em grave
Step-by-step explanation: