Answer:
Her first error was adding the wrong number to both sides. Instead of 4², it should be 2²
Step-by-step explanation:
When completing the square, the number that needs to be added to both sides is (b/2)²
In this problem, b is 4. So, Carly should have added 2² to both sides, but she added 4² instead.
So, her first error was adding 4² to both sides instead of 2²
90 = 20 + 70.....GCF of 20 and 70 is 10
90 = 10(2 + 7) <==
can u write another expression using a different common factor...yes
90 = 20 + 70.....common factor is 5
90 = 5(4 + 14) <==
Answer: <em><u>it is =4176000000000000</u></em>
Step-by-step explanation:
(2.9)(100000)(7.2)(10^2)
5(10^−8)
=
(290000)(7.2)(10^2)
5(10^−8)
=
2088000(10^2)
5(10^−8)
=
(2088000)(100)
5(10^−8)
=
208800000
5(10^−8)
=
208800000
5(1/100000000)=
208800000/1
20000000
=4176000000000000
hope i helped
-lvr
Answer:
Step-by-step explanation:
Let the sides be a, b and c.
<h3>Given</h3>
The length of one side of a triangle is 2 feet less than three times the length of its second side
The length of the third side is 3/4 of the sum of the lengths of the first two sides:
The perimeter of the triangle is 17.5 feet:
<h3>Solution</h3>
Substitute a with b in the second equation:
- c = (3/4)(3b - 2 + b) = (3/4)(4b - 2) = (3/4)(4b) - (3/4)(2) = 3b - 1.5
Now substitute a and c with b in the third equation and solve for b:
- 3b - 2 + b + 3b - 1.5 = 17.5
- 7b - 3.5 = 17.5
- 7b = 17.5 + 3.5
- 7b = 21
- b = 3
Find the value of a:
- a = 3b - 2 = 3*3 - 2 = 9 - 2 = 7
Find the value of c:
- c = 3b - 1.5 = 3*3 - 1.5 = 9 - 1.5 = 7.5
The sides of the triangle are:
- a = 7 feet, b = 3 feet, c = 7.5 feet
Answer: You should cut out squares that are 4 inches by 4 inches.
One of the ways to do this problem is write and graph an equation. We can write an equation for the volume of this shape and then use a graphing calculator to graph it. If we look where the graph crosses 440, we will have our solution.
The volume needs to be 440. If we let x equal the side of the square that is cut out, we have the following dimensions.
Length = 19 - 2x
Width = 18 - 2x
Height = x
Volume = LWH
So our equation could be: y = (19 - 2x)(18 - 2x)x
If you graph that equation, it will intersect at the point (4, 440). Therefore, our square could be 4 by 4 inches.
