Answer:
b= -8
Step-by-step explanation:
Answer:
-8
Step-by-step explanation:
-3b - 6 = 18
+6 +6
-3b = 24
-3b/-3 = 24/-3
b = -8
the value of a +b?
Answer:
√29
Step-by-step explanation:
We are here given that ,
Now square the first equation ,
⇒ a - b = 3
⇒ ( a - b)² = 3²
⇒ a² + b² - 2ab = 9
⇒ a² + b² - 2(5) = 9
⇒ a² + b² -10 = 9
⇒ a² + b² = 9 + 10
⇒ a² + b² = 19
⇒ a² + b² + 2ab = 19 + 2(5)
⇒ (a + b)² = 19 + 10
⇒ ( a + b)² = 29
⇒a+b=√29.
Answer:
90^4 = 65.61% chance of doing that
Step-by-step explanation:
When Kyle is in the pulled-back position with the rope forming a 30° angle with the vertical, his height off the ground is 6 feet.
To find Kyle's height off the ground, x, when he is in the pulled-back position, we can use trigonometry.
First, let's draw a diagram to visualize the situation.
The swing set is represented by a vertical line, and the rope forms an angle of 30° with the vertical.
The distance from the top of the swing set to the ground is given as 12 feet.
Now, we can use the concept of sine to solve for Kyle's height off the ground.
The sine of an angle is equal to the length of the opposite side divided by the length of the hypotenuse.
In this case, the height off the ground is the opposite side, and the hypotenuse is the distance from the top of the swing set to the ground.
So, we can set up the following equation: sin(30°) = x / 12
To find x, we can multiply both sides of the equation by 12: 12 * sin(30°) = x
Using a calculator, we can find that sin(30°) is equal to 0.5: 12 * 0.5 = x Simplifying the equation: 6 = x
Therefore, Kyle's height off the ground, x, when he is in the pulled-back position, is 6 feet.
In summary, when Kyle is in the pulled-back position with the rope forming a 30° angle with the vertical, his height off the ground is 6 feet.
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Answer:
Rate of change for the linear relationship modeled is
Step-by-step explanation:
As the there is a linear relationship in the points, so all these points will be on a single straight line. Hence the slope will be same throughout all the points.
We know that, the slope of the line joining (x₁, y₁) and (x₂, y₂) is,
Putting the points as (-1, 10) and (1, 9), we get
Rate of change is the slope of the line joining all these points.