Answer:
Lets break it you add -45 to 10 and get -35 then you add -20 to 20 making 0 so the answer is -35
Step-by-step explanation:
Answer:
(x+9)^2 + ( y-2) ^2 = 25
Step-by-step explanation:
The equation of a circle can be written as
(x-h)^2 + ( y-k) ^2 = r^2 where ( h,k) is the center and r is the radius
(x--9)^2 + ( y-2) ^2 = 5^2
(x+9)^2 + ( y-2) ^2 = 25
Answer:
Step-by-step explanation:
To determine the time when the height is 40 meters above the ground, we would substitute 40 for h in the given equation. It becomes
1.2 + 4t0t - 5t² = 40
5t² - 40t + 40 - 1.2 = 0
5t² - 40t + 38.8 = 0
The general formula for solving quadratic equations is expressed as
x = [- b ± √(b² - 4ac)]/2a
From the equation given,
a = 5
b = - 40
c = 38.8
Therefore,
t = [- - 40 ± √(- 40² - 4 × 5 × 38.8)]/2 × 5
t = [40 ± √(1600 - 776)]/10
t = [40 ± √824]/10
t = (40 + 28.71)/10 or x = (40 - 28.71)/10
t = 6.871 seconds or t = 1.129 seconds
Answer:
the scale factor k is between 0 and 1
Step-by-step explanation:
A dilation is a transformation that produces an image that is the same shape as the original, but is a different size.
A dilation with the larger image than initial figure is called an enlargement.
A dilation that the smaller image than initial figure is called a reduction.
- If the scale factor k is greater than 1, the image is an enlargement
- If the scale factor k is between 0 and 1, the image is a reduction
- If the scale factor k = 1, the figure and the image are congruent
Thus, if the image is smaller than the original figure, then the scale factor k is between 0 and 1.
Alright to find the answer.
Simplify the left side.
3x÷2-15÷2=-6
Now move all the terms that are not containing x to the right side of the equation.
3x÷2=3÷2
Multiply the numerator of the first fraction by the denominator of the second fraction. Set this equal to the product of the denominator of the first fraction and the numerator of the second fraction.
(3x)⋅(2)=(2)⋅(3)
Finally, solve the equation for x which is going to equal 1
So the answer is x=1
Hope this helped you.
