Answer:
3
Step-by-step explanation:
-5y + 4 = -11 Get rid of the numbers to get y alone.
-5y +4 minus 4 = -11 minus 4 Here you are removing the 4 from the left
-5y = -15 Now you will have to get rid of the -5
-5y/(-5) = -15/(-5)
y = 3
The answer is (7, -26) for The second endpoint.
We'll call the midpoint M. In order to find this, we must first note that to find a midpoint we need to take the average of the endpoints. To do this we add them together and then divide by 2. So, using that, we can write a formula and solve for each part of the k coordinates. We'll start with just x values.
(Ux + Vx)/2 = Mx
(Vx + 3)/2 = 5
Vx + 3 = 10
Vx = 7
And now we do the same thing for y values
(Uy + Vy)/2 = My
(Vy + 6)/2 = -10
Vy + 6 = -20
Vy = -26
This gives us the final point of (7, -26)
(2,-1), (-4,17).
Step-by-step explanation:
Equate the equation A and equation B
Convert the quadratic equation in factored form
Group terms that contain the same variable, and move the constant to the opposite side of the equation
Complete the square. Remember to balance the equation by adding the same constants to each side.
Rewrite as perfect squares
Square root both sides
Find the values of y
Substitute the value of x in the equation B
Answer: The answer is the first explanation.
Step-by-step explanation: We are given five different options and we are to select which explanation is correct to derive the formula for a circumference of a circle.
Let 'C' be the circumference and 'd' be the diameter of a circle. Now, we will write the ratio of the circumference to the diameter as
Also, we know that
And diameter of a circle is twice the radius, so
Therefore,
This is the formula for the circumference of a circle. Since this explanation matches exactly with the first option, so the correct option is
(a). Find the relationship between the circumference and the diameter by dividing the length of the circumference and length of the diameter. Use this quotient to set up an equation to showing the ratio of the circumference over the diameter equals to π . Then rearrange the equation to solve for the circumference. Substitute 2 times the radius for the diameter.
Answer:
D, <VMY cannot be a right angle, its an obtuse angle (more specifically, ab a 120 degree angle)
