Answer:
h=6 feet
Step-by-step explanation:
Given: 1. The base of a rectangle is three feet longer than its height.
2.Are of the rectangle=54 square meters
Let us say the rectangle has height h and base(breadth) b.
Since, the base of the rectangle is three feet longer than the height, we have b=h+3.
Also, Area of the Rectangle= hb
therefore, 54=h(h+3)
54= h2+ 3h
h2+3h-54=0 (Subtract 54 from both the sides)
To find the value of h we have to solve the quadratic equation.
[We have the equation in the form ax2+bx+c=0, to factorise the equation-
Step1. Find two numbers such that their multiplication is equal to ac and their addition is equal to b.
Step2. Replace b with these numbers.
Step3. Simplify the equation]
So, h2+3h-54=0
h2+9h-6h-54=0
h(h+9)-6(h+9)=0
(h+9)(h-6)=0
Which gives-
h= -9 or h= 6
As h is the height of the rectangle, h can not be -9.
so h=6 feet
and b=h+3=9 feet
So the dimensions of the rectangle are 6 feet for the height and 9 feet for the base.
Answer:
f(3) = -6
f(-3) = -12
f(0) = -9
Step-by-step explanation:
Substitute each number for x.
f(3) = 3 - 9 = -6
f(-3) = -3 - 9 = -12
f(0 ) = 0 - 9 = -9
Answer:
#6 is 1001
#8 is x=1312
Step-by-step explanation:
6. 11*13*7= 1001
8. 32*41=x
x= 1312
Answer:
34 minutes
Step-by-step explanation:
Given
Required
Number of minutes left to spend (x)
Since there's only 1 minute left to spend on every other call;
Time left = x * 1
Time left = x
The required can further be calculated using:
This gives:
Subtract 6 from both sides
<em>Hence, there are 34 minutes left to spend</em>
Answer:
x=2
Step-by-step explanation:
4( 2+x) = 18-x
8 + 4x = 18 - x
4x+x = 18-8
5x= 10
x=2
