Answer:
Step-by-step explanation:
Equation: 
Step 1: Balance both parts of the equation.
Step 2: Reduce 14 from both parts of the equation.
Step 3: Split both sides by 10, because 
.
Therefore, x = -1.
Answer:
45 or positive 45
Step-by-step explanation:
Answer:
8.8
Step-by-step explanation:
Normally, to find the distance between two points, you would use the distance formula, but these two points have the same x-coordinate, meaning they will form a vertical line when connected. To find the length of a vertical line you find the distance between the y-coordinates, in this case -4.7 and 4.1. Finding the distance is the same as finding the absolute value of the difference:
|4.1 -(-4.7)|
|4.1 + 4.7|
|8.8|
8.8
I think you mean write in word format so yea
11.09
"Eleven and 9 hundredths"
To convert decimals to fractions first put the decimal over 1, multiply by ten for every number after the decimal point and simplify.
(11.09/1)(10)(10) *Because there are 2 numbers after the . 0 and 9*
1109/100
This will be the most simplified you can get it!
As a mixed number:
11 9/100
Follow these steps for the rest!
21.06
"twenty one and six thousandths"
1053/50
21 3/50
0.06
"six thousandths" or
"zero and six thousandths"
3/50
0.50
"fifty thousandths" or "five tenths" since 0.50=0.5
1/2
6.15
"six and fifteen thousandths"
123/20
6 3/20
7.41
"seven and fourty one thousandths"
741/100
7 41/100
I HOPE THIS HELPS
You only have to apply the theorem of Pythagoras here. Remember the square on the hypotenuse (the longest side) is equal to the sum of the squares on the other two sides :
1. AB is the hypotenuse, so, according to the theorem we can write :
AB² = AC² + CB²
c² = 5² + 4²
c²= 25 + 16
c² = 41
applying the square root of 41 we get :
c ≈ 6.40 rounded to the hundred
The next cases are exactly the same thing so there is no need for explanation :
2.
AB is the hypotenuse here because it is the biggest side clearl :
AB² = AC² + CB²
25² = 15² + b²
Thus
b² = 25² - 15²
we just subtracted 15² on each side of the equation
b² = 625 - 225
b² = 400
applying the square root of 400 we get
b = √400 = 20
So AC = 20
3. The longest side is clearly AB = 60
So
AB² = AC² + CB²
60² = 40² + a²
subtracting 40² on each side of the equation we get :
a² = 60² - 40²
I let you finish this using your calculator and doing exactly like the previous cases
4.
AB is the hypotenuse,
AB² = AC² + CB²
23² = b² + 14²
Subtracting 14² from each side of the equation we get
b² = 23² - 14²
5.
AB is the biggest side :
AB² = AC² + CB²
29² = 23² + a²
We subtract 23² on each sides of the equation :
a² = 29² - 23²
You can finish with your calculator
6.
AB² = AC² + BC²
78² = b² + 30²
subtraction...
b² = 78² - 30²
Good luck :)
