Complete the square to factor X^2 +10X=-8
Answers
Answer: and
Step-by-step explanation:
Alright, lets get started.
The given equation is :
Adding 8 in both sides, it will become
To make it perfect square, we need to add 25 and subtract 25
Adding 17 in both sides
taking square root
So,
and
.. Answer
Hope it will help :)
Answer:
Step-by-step explanation:
X² + 10x = -8
add to both side the square of half the coefficient of X which is 5²
X² + 10x + (10/2)² = -8 + (10/2)²
X² + 5² = -8 + 5²
( X + 5 )² = -8 + 25
(X + 5)² = 17
X + 5 = +- √17
Therefore, X = -5 +- √17.
X = -5 + √17 , -5 - √17.
Related Questions
40 POINTS HELP TRIGONOMETRY PLEASE ASAP!
What is x2 + 6x = x2 - 6x as a system?
Simplify 12 to the 16th power over 12 to the 4th power. 12^12 12^4 1^12 1^4
anne has $28.90 more savings than beatrice. 3/5 of beatrice's savings is the same as 1/2 of anne's savings. how much does anne have in savings?
B) What are the dimensions of each solid figure?
C) How much concrete will be needed to form the staircase?
Answers
QA) Which solid figures can the staircase be broken into?
A) The staircase can be broken into 3 rectangular prisms.
QB) What are the dimensions of each solid figure?
A) We are given the height (2.5 ft) and the length (3 ft) of the entire staircase. To find the height and length of each step, just divide by 3:
2.5 / 3 = 5/6 ft high
3 / 3 = 1 ft long
Looking at the image given, we can see that the staircase is 6 ft wide.
Bottom prism: 3 ft long, 6 ft wide, and 5/6 ft high.
Middle prism: 2 ft long, 6 ft wide, and 5/6 ft high.
Top prism: 1 ft long, 6 ft wide, and 5/6 ft high.
QC) How much concrete will be needed to form the staircase?
A) To answer this question, we have to find the volume of each rectangular prism. The formula for the volume of a rectangular prism is
V = lwh; where l = length, w = width, and h = height.
We need to apply this formula to each prism. I'll go from the bottom up.
(1.) V = lwh; l = 3, w = 6, h = 5/6
V = (3)(6)(5/6)
V = 15 ft²
(2.) V = lwh; l = 2, w = 6, h = 5/6
V = (2)(6)(5/6)
V = 10 ft²
(3.) V = lwh; l = 1, w = 6, h = 5/6
V = (1)(6)(5/6)
V = 5 ft²
To find the amount of concrete needed to form the staircase, just add the volumes of the three rectangular prisms:
15 + 10 + 5 = 30 ft²
The contractor will need enough concrete to cover 30 ft² to form the staircase.
Hope this helps!
B.-1/3
C.3
D.-3
Answers
2x – 6y = 9
Add 6y on both sides
2x = 6y + 9
Subtract 9 on both sides
6y = 2x - 9
Divide 6 on both sides
y = 1/3 - 3/2
Now, we have it in the form of y = mx + b
In y = mx + b, m is the slope and b is the y-intercept
That means in y = 1/3 - 3/2, the slope is A) 1/3.
Your answer is A) 1/3
Slope is coefficient near x in y=kx+l
2x – 9 = 6y
1/3 x – 3/2 = y
k = 1/3
Actual way to solve it
Answers
Answers
Mean:
50
Median:
44
Mode:
35, 44, 77, 68, 43, 55, 2
Answer:
There's no mode. The median is 44. The mean is 50.
Step-by-step explanation: Mean is 35+44+77+68+43+55+28=350/7=50 You divide by 7 because there are 7 numbers. Median is the middle number. There are no repeated numbers so there's no mode.
Answers
Answer:
Step-by-step explanation:
Answers
what multiplied by what is 15 but added together is 8
......................................................
Answer: a