Answer:
Step-by-step explanation:
-x - 6 > 21 - 28x
27x - 6 > 21
27x > 27
x > 1
Answer:
<em> x = -3</em>
Step-by-step explanation:
A line has equation: y = ax + b
This line has slope a = 1
This line passes (4, 1)
=> 1 = 4 + b
=> b = -3
=> The equation of this line : y = x - 3
This line passes another point (x, -6)
=> -6 = x - 3
=> x = -6 + 3
=> x = -3
Answer:
miles per minute represents the speed of the bird and 3 miles represents the original distance of the bird from its nest.
Step-by-step explanation:
As there is no graph mentioned here but the information are quite sufficient to answer the question.
We have points 
From these points we can find the slope of the line .
From point slope formula 
And assigning 
and 
This slope is also the speed of the bird which is 
As by plugging the values of any coordinate point we can confirm this.
Lets put 
, y-axis is the distance so in 
minutes the the distance covered by the bird must be equal to to y-axis value which is 
miles.
Now as in 
the bird has started from y-intercept value 
so we can say that,the original distance of the bird from its nest is 
.
So the correct choices are:
and 
The birds speed is 
per minute and is away from its nest.
Answer:
Triangle B is right
Step-by-step explanation:
Using the converse theorem of Pythagoras.
If the square of the longest side in a triangle equals the sum of the squares of the other 2 sides then the triangle is right.
Triangle A
longest side squared = 36² = 1296
26² + 18² = 676 + 324 = 1000 ≠ 1296
Hence triangle A is not right
Triangle B
longest side squared = 25² = 625
20² + 15² = 400 + 225 = 625 ← correct
Hence triangle B is right
Answer:
C. volume
Step-by-step explanation:
The response variable in this scenario would be the volume of the usable lumber. That is because this variable depends completely on the height of the cherry trees that are being measured. The higher that the cherry trees are the more volume can be expected to get from cutting these trees down. The opposite goes for trees that are smaller, they would decrease the total expected volume that will be received from the usable lumber since there would be less amount of tree to cut down.
