At 16 feet we have
16 = 3 + 30t - 16t^2
16t^2 - 30t + 13 = 0
t = [- -30 +/- sqrt(30^2 - 4*16*13) ] / 32
t = 1.20 , 0.68 seconds answer ( correct to the nearest hundredth)
Answer:
it does not have a solution
Step-by-step explanation:
4(b + 1) ≤ 2(2b + 1)+1
4b + 4 ≤ 4b + 2 + 1
0 ≤ -1
0 isn't less than or equal to -1
Answer:
10 squared units
Step-by-step explanation:
This triangle is pretty easy since it creates a right triangle. So the base length and height length are pretty easy to identify.
The area of a triangle is .5*base*height.
The base length after drawing the points is a horizontal so just count it or do 4-0=4.
The height length after drawing the points is a vertical so just count it or do 4-(-1)=4+1=5.
So the area of the triangle is .5*4*5=.5(20)=10 units squared.
Now if you didn't fill like drawing it and you knew how to find the determinant.
You just compute
.5 times det| 0 -1 1 |
| 0 4 1 |
| 4 -1 1 |
.5[ 0 det| 4 1 | - -1 det| 0 1 | + 1 det | 0 4 | ]
| -1 1 | | 4 1 | | 4 -1 |
.5[ 0 - -1(0-4) + 1(0-16)]
.5[ 0 -4 -16]
.5[-20]
-10
And if you get a negative just take the absolute value of it giving you 10.
Answer:
The slope of the linear equation will be 60 and the point on the line will be (6,1250).
R - 1250 = 60(y - 6)
Step-by-step explanation:
An apartment lease states that the rent will go up by $60 each year. The rent in the 6th year is $1250.
Therefore, the slope of the linear equation will be 60 and the point on the line will be (6,1250).
Now, the point-slope form of the linear equation which models the rent (R(y)) in terms of how many years (y) the tenants have lived there will be
R - 1250 = 60(y - 6) (Answer)
Answer:
El ascensor recorrió unos 39 metros
Step-by-step explanation:
Segun la pregunta cada cada piso tiene 3 metros de altura, por lo tanto para calcular los metros que recorrió el ascensor tenemos que hacer el siguiente calculo:
metros desde el primer piso al quinto piso=3 metros*4=12 metros
metros desde el quinto piso al segundo piso=3 metros*3=9 metros
metros desde el segundo piso al octavo piso=3 metros*6=18 metros
Por lo tanto los metros que recorrió el ascensor=12 metros+9 metros+18 metros
metros que recorrió el ascensor=39 metros
El ascensor recorrió unos 39 metros