Use either the distance formula or the Pythagorean Theorem. i suggest you plot the 2 given points and draw the line segment CD connecting these points.
What is the horiz. distance between the 2 points? The vertical distance?
If you'd square the horiz. distance and also square the vertical distance, and then add these two squares together, and finally take the positive square root of this sum, you'll have the distance cd. Round it off to the nearest tenth.
Answer:
28 questions
Step-by-step explanation:
80% is 80 out of 100, so we can represent it as 80/100.
80 / 100 = y / 35
We need to find the value of y.
To do this we can cross multiply, with a method I like to call the butterfly method.
80 y
100 35
80x35=2800
Therefore, 100 times y equals 2800.
So we divide 2800 by 100.
2800/100=28.
Therefore, y equals 28.
y=28.
Answer:
f(-4)=g(-4) and f(0)=g(0)
Step-by-step explanation:
Recall that what is being asked is for which values of "x" the two functions give the same numerical result (f(x) = g(x)). Then we need to look at the points of the graph where the functions intersect (those are the points for which at the same x-value they adopt exact same y-value.
Please see attached graph where the intersection points have been marked in orange. These points are (-4,4) and (0,4) on the coordinate plane, which means that the equality happens when x is -4 and when x is 0.
Answer:
x = 36 , y = 64 , z = 80
Step-by-step explanation:
Exterior angle equals the sum of opposite interior angle.
3x + 8 = x + z
3x - x - z = -8
2x - z = -8 ------------ (I)
z + 3x - 8 = 180 {linear pair}
3x + z = 180 + 8
3x + z = 188 --------------(II)
Add (I) and (II) and z will be eliminated and we can find the value of 'x'
(I) 2x - z = -8
(II) <u> 3x + z = 188</u> {Now add}
5x = 180
x = 180/5
x = 36
Plugin x = 36 in equation (II)
3*36 +z = 188
108 + z = 188
z = 188- 108
z = 80
x + y + z = 180 ----------------(III) {angle sum property of triangle}
36 + 80 +y = 180
116 + y = 180
y = 180 - 116
y = 64