Answer:
d y = -5x+3
Step-by-step explanation:
slope intercept is y=mx+b m is for the slope and b is the y intercept so the -5x would go first and then the 3
Answer:
find the answer by ysing given instructions
Step-by-step explanation:
Triangular prisms
Remember the formula for calculating volume is: Volume = Area by height. V = A X h.
For a triangle the area is calculated using the formula: Area = half of base by altitude. A = 0.5 X b X a.
So to calculate the volume of a triangular prism, the formula is: V = 0.5 X b X a X h.
Answer:
Step-by-step explanation:
Since the problem is requesting the answer in minutes, we are going to convert the speed of Mr. Peter to miles per minutes; to do that, we are going to multiply his speed by the multiplier
![\frac{60min}{1h}](https://tex.z-dn.net/?f=%20%5Cfrac%7B60min%7D%7B1h%7D%20)
:
![60 \frac{miles}{h} * \frac{1h}{60min} =1 \frac{mile}{min}](https://tex.z-dn.net/?f=60%20%5Cfrac%7Bmiles%7D%7Bh%7D%20%2A%20%5Cfrac%7B1h%7D%7B60min%7D%20%3D1%20%5Cfrac%7Bmile%7D%7Bmin%7D%20)
Now, to find the distance from Boston to Worcester, we are going to use the distance formula:
![d=vt](https://tex.z-dn.net/?f=d%3Dvt)
where
![d](https://tex.z-dn.net/?f=d)
is the distance
![v](https://tex.z-dn.net/?f=v)
is the speed
![t](https://tex.z-dn.net/?f=t)
is the time
We know that the speed of Mr. Peter is
![1 \frac{mile}{min}](https://tex.z-dn.net/?f=1%20%5Cfrac%7Bmile%7D%7Bmin%7D)
and his time is 30 minutes. Lets replace those values in our formula:
![d=1 \frac{mile}{min} *30min](https://tex.z-dn.net/?f=d%3D1%20%5Cfrac%7Bmile%7D%7Bmin%7D%20%2A30min)
![d=30miles](https://tex.z-dn.net/?f=d%3D30miles)
Now, lets concentrate on Mr. Peter clone, Mr. P:
Lets convert the speed of Mr. P to miles per minute:
![\frac{90miles}{h} * \frac{1h}{60min} =1.5 \frac{miles}{min}](https://tex.z-dn.net/?f=%20%5Cfrac%7B90miles%7D%7Bh%7D%20%2A%20%5Cfrac%7B1h%7D%7B60min%7D%20%3D1.5%20%5Cfrac%7Bmiles%7D%7Bmin%7D%20)
We also know that they will cover the same distance, 30 miles. Lets replace the values in our formula one more time to find t:
![d=vt](https://tex.z-dn.net/?f=d%3Dvt)
![30miles= 1.5\frac{miles}{min} *t](https://tex.z-dn.net/?f=30miles%3D%201.5%5Cfrac%7Bmiles%7D%7Bmin%7D%20%2At)
![t= \frac{30miles}{1.5\frac{miles}{min}}](https://tex.z-dn.net/?f=t%3D%20%5Cfrac%7B30miles%7D%7B1.5%5Cfrac%7Bmiles%7D%7Bmin%7D%7D%20)
![t=20min](https://tex.z-dn.net/?f=t%3D20min)
But since Mr. P <span>leaves 5 minutes after Mr. Peters, we need to add those 5 minutes to M. P's time:
</span>
![t=20min+5min](https://tex.z-dn.net/?f=t%3D20min%2B5min)
We can conclude that Mr. P will arrive first, 5 minutes before Mr. Peter.
Answer:
Step-by-step explanation:
Length of the garden = 4 - 21*x - 28*y
Width of the garden = -6*x*y
Perimeter of the garden = 2*(Length + Width)
P = 8 - 42*x - 56*y - 12*x*y