Please answer the question from the attachment.
Answers
(20x + 10)/2 = 16x - 1
10x + 5 = 16x - 1
6x = 6
x = 1
Angle at centre = 20x + 10
Angle at circumference = 17x - 2
20x + 10 = 2*(17x - 2)
20x + 10 = 2*17x - 2*2
20x + 10 = 34x - 4
20x - 34x = -4 - 10
-14x = -14
x = -14/-14
x = 1.
1st Option.
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Answers
Answers
Answer: this is ez its
first
second
third
Step-by-step explanation:
Answer:
1st and second, unless you have already learned area of trapezoids. If you have, add third
Step-by-step explanation:
z = 4
z = -28
z = -112
z = 784
Answers
First, divide both sides by -7. / Your problem should look like:
Second, simplify
Third, simplify
Fourth, add 2 to both sides. / Your problem should look like: -10 + 2 = -2z
Fifth, simplify -10 + 2 to get -8. / Your problem should look like: -8 = -2z
Sixth, divide both sides by -2. / Your problem should look like:
Seventh, simplify
Eighth, simplify
Ninth, switch your problem around. / Your problem should look like: z = 4
Answer: z = 4
The solution of expression is,
⇒ z = 4
We have to give that,
An expression to solve is,
⇒ 70 = - 7 (- 2 - 2z)
Now, Simplify the expression as,
⇒ 70 = - 7 (- 2 - 2z)
Divide both sides by 7,
⇒ 70/ 7 = - 7 (- 2 - 2z)/7
⇒ 10 = - 1 (- 2 - 2z)
Apply distributive property,
⇒ 10 = 2 + 2z
Subtract 2 on both sides,
⇒ 10 - 2 = 2z
⇒ 2z = 8
Divide on both sides by 2,
⇒ z = 8/2
⇒ z = 4
Therefore, The solution is,
⇒ z = 4
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Answers
Answers
a. Write a system of equations to model the problem.
b. Is it possible that the water skier could collide with the taxi? Explain
Answers
Final answer:
The system of equations to model the problem is y = 0.5(x - 16) for the water taxi's path and y = -5x + 36 for the water skier's path. No collision is possible between the water skier and the taxi.
Explanation:
a. System of Equations:
To model the problem, we need to find the equation of the water skier's path.
Using the two given points, we can find the slope of the water skier's path:
- Find the change in y-coordinates: -4 - 6 = -10
- Find the change in x-coordinates: 8 - 6 = 2
- Calculate the slope: slope = -10 / 2 = -5
Now that we have the slope, we can use the point-slope formula to find the equation of the water skier's path:
y - y1 = m(x - x1)
Substituting the values x1 = 6, y1 = 6, and m = -5:
y - 6 = -5(x - 6)
Simplifying:
y = -5x + 36
Therefore, the system of equations to model the problem is:
y = 0.5(x - 16) - Equation of the water taxi's path
y = -5x + 36 - Equation of the water skier's path
b. Possibility of Collision:
To determine if the water skier could collide with the taxi, we need to solve the system of equations. If the x-coordinate at the point of intersection is within a certain range, then a collision is possible.
Substitute the second equation into the first equation:
0.5(x - 16) = -5x + 36
Solve for x:
0.5x - 8 = -5x + 36
5.5x = 44
x = 8
The x-coordinate of the point of intersection is 8. Since the water skier's path does not pass through the point x = 8, there is no collision between the water skier and the taxi.
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I realize that the equation is different, but do it in the same way, it'll help! It is given that the water taxi's path can be modeled by the equation y =0.5(x - 14)^2. Therefore, this is one of the equations in this system. Find a linear equation that will model the path of the water skier, which begins at the point (6,6) and ends at the point (8,-4). The slope is (-5). Use the slope and one point on the line to find the y-intercept of the line. The y-intercept of the line that passes through the points (6,6) and (8,-4) is (0,36). Thus, the equation is y=-5x+36. Now, to determine if it is possible for the water skier to collide with the taxi, we have to determine if there is a solution to the system of equations. To determine if there is a solution to the system of equations, solve the system using substitution. First, write the equation that models the water taxi's path in standard form. y=0.5(x - 14)^2-->0.5x^2-14x+98. Use substitution. Substitute for y in the equation and then solve for x. As the expression on the left side of the equation cannot easily be factored, use the Quadratic Formula to solve for x. Do x=-b(plusorminus)sqrrtb^2-4ac/2a. Identify a, b, and c. a=0.5, b=-9, and c=62. Substitute into the Quadratic Formula. If there is a negative number under the radical, there are NO solutions. Thus, the path of the water skier will never cross the path of the taxi.
In conclusion: It is not possible that the water skier could collide with the taxi as the two paths never cross.