Slope = 1/2, through: (3, 1)

A rectangle has an area of 182 square meters and a base of 14 meters. What is the height?

katrin2010 [14]

Answer:

2488

Step-by-step explanation:

times 182 by 14 and it = 2488

5 0

3 years ago

Read 2 more answers

Helpppppppppppppppppp

UNO [17]

Answer:

2 solutions

Step-by-step explanation:

Given the expression

2m/2m+3 - 2m/2m-3 = 1

Find the LCM of the expression at the left hand side:

2m(2m-3)-2m(2m+3)/(2m+3)(2m-3) = 1

open the bracket

4m²-6m-4m²-6m/(4m²-9) = 1

Cross multiply

4m²-6m-4m²-6m = 4m² - 9

-12m = 4m² - 9

4m² - 9+12m = 0

4m² +12m-9 = 0

Since the resulting equation is a quadratic equation, it will have 2 solutions since the degree of the equation is 2

8 0

3 years ago

Skcncjnds kjsndjcjknskjckjzxc

timama [110]

skskhfkakakan what is this haha

6 0

2 years ago

David is watching maria and alma race electric trains around track. Maria train can go around the track in 10 seconds. Almas tra

Nady [450]

Answer:

60 seconds.

Step-by-step explanation:

We have been given that Maria train can go around the track in 10 seconds. Alma train can go around the track in 12 seconds.

To find the number of seconds after which both trains will cross the finish line together the first time we will find LCM of 10 and 12. LCM will give us the smallest positive integer that is divisible by both 10 and 12.

Multiples of 10 are: 10, 20, 30, 40, 50, 60, 70,...

Multiples of 12 are: 12, 24, 36, 48, 60, 72, 84,..

We can see that least common multiple of 10 and 12 is 60, therefore, it will take 60 seconds for both trains to cross the finish line together the first time.

6 0

3 years ago

Help if you can do this please

olga nikolaevna [1]

Answer:

Step-by-step explanation:

a. Since the parabola is compressed by a factor of 1/3 we can state:

a parabola is written this way : y=(x-h)²+k
h stands for the translation to the left ⇒ 2*3=6
k for the units down ⇒4*3=12

So the equation is : y=(x-6)²+12

b.Here the parabola is stretched by a factor of 2 so we must multiply by 1/2

We khow that a parabola is written this way : y=(x-h)²+k
(h,k) are the coordinates of the vertex
the maximum value is 7*0.5=3.5
we khow tha the derivative of a quadratic function is null in the maximum value
so let's derivate (x-h)²+k= x²+h²-2xh+k
f'(x)= 2x-2h h is 1 since the axe of simmetry is x=1
f'(x)=2x-2 ⇒2x-2=0⇒ x= 1
Now we khow that 1 is the point where the derivative is null
f(1)=3.5
3.5=(x-1)²+k
3.5= (1-1)²+k⇒ k=3.5

So the equation is : y=(x-1)²+3.5

7.

the maximum height is where the derivative equals 0

h= -5.25(t-4)²+86
h= -5.25(t²-8t+16)+86
h=-5.25t²+42t-84+86
h=-5.25t²+42t+2

Let's derivate it :

f(x)= -10.5t+42
-10.5t+42=0
42=10.5t
t= 42/10.5=4

When the height was at max t=4s

h(max)= -5.25(4-4)²+86 = 86 m

h was 86m

8 0

3 years ago