Answer:
45° is your required answer...
Answer:
y=-2x+10
Step-by-step explanation:
m=-2 which means that x is -2 using y=mx+b
and because (0,10) and x is 0 and y or in this case b is 10.
Hope this helps!
Answer:
<em>75.408 ft</em>
Step-by-step explanation:
In 20 minutes, the angle swept by a minute hand is calculated as
(20/60) x 360° = 120°
The length of the minute hand = 36 ft
To calculate the distance moved by the minute hand, we solve for the fraction of the circumference of a circle swept by the minute hand in going through this 20 min.
we use the expression
Distance moved by the tip of the minute hand d = (θ/360) x 2πR
where
θ is the angle swept in the 20 minutes = 120°
R is the length of the minute hand, which is the radius of the circle formed if the minute hand moves completely in a 360° motion round the clock.
R = 36 ft
substituting values, we have
d = (120/360) x (2 x 3.142 x 36) = <em>75.408 ft</em>
Answer:
<h2>D. The two functions have opposite output values of each other for any given input value.</h2>
Step-by-step explanation:
The reflect function will have opposite output values than the original one, because reflection across the x-axis means that y-values will be with the opposite sign. All positive y-values in the original function will have negative values in the reflected one, and all negative y-values in the original will have positive values in the reflected.
The opposite values are just seen in the output, because those belong to y-axis, all x-axis values remain the same, which are input values. You can see this in the image attached, look for the horizontal reflection. That mirror effect across the x-axis is because the y-values are opposite.
Answer:
y= -2x........eqn i
y=5x+3......eqn ii
substituting the value of Y from eqn i in eqn ii, we get,
-2x=5x+3
-7x=3
x= -3/7
so, y= -2x= -2× (-3/7)
so, y= 6/7
