Answer: James
Step-by-step explanation: 2.2 is less than 2.25.
Answer:
x=2;y=2
Step-by-step explanation:
2x+y=6..........1
3x-y=4............2
adding equation1 with equation 2
2x+y+3x-y=6+4
5x=10
x=10/5=2
substituting vslue of y in equation 1
2×2+y=6
y=6-4
y=2
Hey! :)
Let us make these number be x and y.
x + y = 54
x - y = 26
Now, add these equations to get the following:
2x = 54 + 26 = 80
2x = 80
x = 80/2 = 40
Now, x + y = 54 meaning 40 + y = 54.
Therefore y = 54 - 40 = 14.
Have a great rest of your day :)
Answer:
Co-ordinates of point R is (26,2)
Step-by-step explanation:
Given point:
Endpoint S(8,4)
Mid-point M of segment RS (17,3)
Let endpoint have co-ordinates
Using midpoint formula:
Where and are co-ordinates of the endpoint of the segment.
Plugging in values to find the midpoint of segment KN.
We know
So, we have
Solving for
Multiplying both sides by 2.
Subtracting both sides by 8.
∴
Solving for
Multiplying both sides by 2.
Subtracting both sides by 4.
∴
Thus co-ordinates of point R is (26,2) (Answer)
#4
This is a SOH-CAH-TOA problem, or trigonometry! Take a look at the attached image for a sketch of this problem.
(a) To find the distance up the wall, we'll need to use the sine function. This is because we know the angle is opposite the wall and we also know the hypotenuse.
sin(58.5) = x/4
x = (4)(sin(58.5)) ---> Plug this into your calculator to get the answer! And make sure your calculator is in degrees if that is an option.
x = 3.4 meters
(b) To find the distance between the foot of the ladder and the wall, we'll need to use the cosine function. This is because we know the angle is adjacent to the wall and we also know the hypotenuse.
cos(58.5) = x/4
x = (4)(cos(58.5))
x = 2.1 meters
Hope this helps!! :)