What value would you add to this expression to make a perfect square? x²+x
Answer:
we would add [tex]\:\left(\frac{1}{2}\right)^2\:[/tex] or 1/4 to make the expression a perfect square.
Step-by-step explanation:
Given the expression
[tex]x^2+x[/tex]
[tex]\mathrm{Write}\:x^2+x\:\mathrm{in\:the\:form:\:\:}x^2+2ax+a^2[/tex]
[tex]2a=1[/tex]
Divide both sides by 2
[tex]\frac{2a}{2}=\frac{1}{2}[/tex]
[tex]a=\frac{1}{2}[/tex]
as
[tex]x^2+2ax+a^2=\left(x+a\right)^2[/tex]
[tex]\mathrm{Add\:}\:\left(\frac{1}{2}\right)^2\:[/tex]
[tex]x^2+1x+\left(\frac{1}{2}\right)^2=\left(x+\frac{1}{2}\right)^2[/tex]
Thus, we would add [tex]\:\left(\frac{1}{2}\right)^2\:[/tex] or 1/4 to make the expression a perfect square.
help pls
i will be friend
Answer:
brainliest pls
Step-by-step explanation:
In your own words, explain the steps you would need to take to find slope from data in a table.
When I say "your own words" PLEASE DON'T GIVE ME THE SAMPLE RESPONSE ON EDGE
Answer:
For me when I am finding the slope I actually use the slope formula [tex]\frac{y2-y1}{x2-x1}[/tex].
Step-by-step explanation:
Step 1 you have to find the x and y
Step 2: Use the slope formula
Step 3: Subtract y2 and y1 to get your answer
Step 4: Subtract x2 and x1 to get your answer
Step 4: If your answer is easy to divide simplify it, if not leave it as it is
That's all I know
I hope this helps :)
Answer:
Choose two sets of data (x and y values). Calculate the difference between the two y values. Calculate the difference between the corresponding two x values. Slope is the difference in y values / difference in x values.
Hope this Helps!
The ratio of tuna to catfish is 4:9. If there are 24 tuna in the enclosure at the aquarium, how many catfish are
there?
PLEASE HELP ITS DUE TMR
Answer:
it's 42 my bad...
Step-by-step explanation:
Answer:
Choice C 42 in^2
Step-by-step explanation:
Area of a triangle= 1/2(b)(h)
= 1/2(3)(6)
= 9
Since there is two triangles we can do:
9(2) = 18
Area of a rectangle = (b)(h)
= (4)(6)
= 24
24+18 = 42 in^2
True/False;
This table represents a linear function.
True
False
Answer:
true
Step-by-step explanation:
Answer:
true
Step-by-step explanation:
Answer this for me please
Todd swam three trials of the 50-meter freestyle. His time was 32.15 seconds for the first trial, 31.67 seconds for the second trial, and 30.55 seconds for the third trial. Part A What is Todd's combined time for all three trials? Enter your answer in the box. seconds Part B How much faster was Todd's second trial than his first trial? Enter your answer in the box. second(s)
Answer:
A. 94.37 seconds
B. 0.48 seconds
Step-by-step explanation:
Total distance = 50 meters
First trial = 32.15 seconds
Second trial = 31.67 seconds
Third trial = 30.55 seconds
A. What is Todd's combined time for all three trials
Todd's combined time for the three trials = First trial + Second trial + Third trial
= 32.15 seconds + 31.67 seconds + 30.55 seconds
= 94.37 seconds
B. How much faster was Todd's second trial than his first trial?
Second trial = 31.67 seconds
First trial = 32.15 seconds
Time taken for first trial - Time taken for second trial -
= 32.15 seconds - 31.67 seconds
= 0.48 seconds
Todd's second trial was 0.48 seconds faster than his first trial
is 4(5c + 3) and 9c + 7 equivalent?
Answer:
No sir
Step-by-step explanation:
when you see Parentheses beside a number it means your mutiplying
your answer would be: 20c + 12
Answer:
Find the exact value using trigonometric identities.
20
c
+
12
Step-by-step explanation: 20 c + 12 c will give you your answer.
Which equation describes the lines passing through (4,-2) with a slope of 1/2?
A. y = 1/2x + 5
B. y = 1/2x + 4
C. y = 1/2x - 2
D. y = 1/2x - 4
Answer:
y = 1/2x +4
Step-by-step explanation:
Write in y = mx + b form.
homeworklibexpress the area a of a right triangle as a function of the height h if the base of the triangle is twice its height?
Answer:
A = h²
Step-by-step explanation:
the area (A) of a triangle is calculated as
A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the height )
here b = 2h , then
A = [tex]\frac{1}{2}[/tex] × 2h × h = h × h = h²
whatis the value of y?
Answer:
Finding the y value is easy if you know the slope of the line and the x coordinate. Review the equation for the slope of a line. The equation for finding the slope is: m = [y1 - y2] / [x1 - x2]. If you know x, you can solve for y to find the y value for the slope of the line.
Step-by-step explanation:
What is x? -4(x+2)=4(2-2x)
Answer:
x = 4
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define Equation
-4(x + 2) = 4(2 - 2x)
Step 2: Solve for x
Divide -4 on both sides: -(x + 2) = 2 - 2xDistribute negative: -x - 2 = 2 - 2xAdd 2x on both sides: x - 2 = 2Add 2 on both sides: x = 4Step 3: Check
Plug in x into the original equation to verify it's a solution.
Substitute in x: -4(4 + 2) = 4(2 - 2(4))Multiply: -4(4 + 2) = 4(2 - 8)Add/Subtract: -4(6) = 4(-6)Multiply: -24 = -24Here we see that -24 does equal -24.
∴ x = 4 is the solution to the equation.
Can someone help, I need to pass. Find the value of k
Answer:
D
Step-by-step explanation:
45+62=107
180-107=73
Answer:
D) k=73
Step-by-step explanation:
easy triangles add up to 180
180-62-45=73
Brainliest please
Find the coordinates of midpoint of the line segment p(-5,-1) Q(6,-2)
Answer:
The coordinates of the midpoint of the line segment p(-5,-1) Q(6,-2) would be: (1/2, -3/2)
Step-by-step explanation:
Given
P(-5, -1)Q(6, -2)[tex]\mathrm{Midpoint\:of\:}\left(x_1,\:y_1\right),\:\left(x_2,\:y_2\right):\quad \left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)[/tex]
[tex]\left(x_1,\:y_1\right)=\left(-5,\:-1\right),\:\left(x_2,\:y_2\right)=\left(6,\:-2\right)[/tex]
[tex]=\left(\frac{6-5}{2},\:\frac{-2-1}{2}\right)[/tex]
[tex]=\left(\frac{1}{2},\:-\frac{3}{2}\right)[/tex]
Thus, the coordinates of the midpoint of the line segment p(-5,-1) Q(6,-2) would be: (1/2, -3/2)
Add or subtract the following fractions. write your answer in simplest form.
-3/7 + 1/4
multiply the following fractions. write in simplest form.
7/10×5/3 =>
-7/2 × 12 =>
what is an explicit formula for the following sequence 1,5,9,13,17 ? plssss helppp mee
Answer:
plus 4 every time
Step-by-step explanation:
1+4=5+4=9+4=13+4=17
g(x)=x^2-4
f(x) = -2x-3
Find g(-6) – f(-6)
someone help and please show steps!! <3 10 points !!!
Answer:
23
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Function NotationStep-by-step explanation:
Step 1: Define
g(x) = x² - 4
f(x) = -2x - 3
g(-6) is x = -6 for function g(x)
f(-6) is x = -6 for function f(x)
Step 2: Evaluate
g(-6)
Substitute in x: g(-6) = (-6)² - 4Exponents: g(-6) = 36 - 4Subtract: g(-6) = 32f(-6)
Substitute in x: f(-6) = -2(-6) - 3Multiply: f(-6) = 12 - 3Subtract: f(-6) = 9g(-6) - f(-6)
Substitute: 32 - 9Subtract: 23Josiah is 5 years older than Alexis. In 7 years the sum of their ages will be 85. How old is Josiah now?
Can you help me solve it!!
Answer:
Step-by-step explanation:
Alexis is X years old
Josiah is X + 5 years old
in 7 years:
Alexis is x + 7 years old
Josiah is x + 5 + 7 => x + 12 years old
Sum of their ages is 85 :
x + 7 + x + 12 = 85
2x + 19 = 85
2x = 85 - 19 = 66
x = 66/2 = 33 => Alexis age
Josiah is x + 5 = 33 + 5 = 38 years old
Sean bought 4/5 of a pound of cherries and then he ate 1/3 of a pound of them. When he got home, he saw that he still had
1/6 of a pound of cherries in his cupboard. How many total pounds of cherries does he have? Give your answer as an exact simplified improper fraction, not as a mixed number. Do not include units.
The pound that he ad will be 19/30 pounds.
How to calculate the fraction?From the information, it was stated that Sean bought 4/5 of a pound of cherries and then he ate 1/3 of a pound of them.
He also found out that he had 1/6 of a pound of cherries in his cupboard.
Therefore, the total will be:
= (4/5 - 1/3) + 1/6
= 24/30 - 10/30 + 5/30
= 19/30
Therefore, the pound that he ad will be 19/30 pounds.
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Answer the following question and will mark Brainliest
Answer:
[0, ∞)
Step-by-step explanation:
The domain is the x values in a function. As you can see from the graph, the function touches zero (touching meaning the value zero is bracketed) and goes to infinity (infinity is parenthesis).
If a value is included it is bracketed. If it is not included it is used with parenthesis (infinity cannot be reached to it is used with parenthesis).
distance between A (2, -1) and (2,a) is 4 units. Find the value of a where a is positive.
Answer:
a = 3
Step-by-step explanation:
Calculate the distance d using the distance formula and equate to 4
d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]
with (x₁, y₁ ) = (2, - 1) and (x₂, y₂ ) = (2, a)
d = [tex]\sqrt{(2-2)^2+(a+1)^2}[/tex] = [tex]\sqrt{0+(a+1)^2}[/tex] = [tex]\sqrt{(a+1)^2}[/tex] = a + 1 then
a + 1 = 4 ( subtract 1 from both sides )
a = 3
What is 1% of 75? explain how
Answer:
0.75
hope it helps
plz mark brainliest
Answer:
0.75
Step-by-step explanation:
1%×75
=1/100×75
=0.01×75
=0.75
Using the diagram below and with reference to the angle θ, state the length of the opposite side.
The diagram is not drawn to scale.
cm
Answer:
given,
θ is the angle of the opposite side
cm=θ
A dolphin is 40 feet below sea level. It swims up and jumps out of the water to a height of 10 feet above sea level.
How many feet did the dolphin change it's position?
Answer: 50 feet
Step-by-step explanation: it went 40 feet to get to the surface of the water then it went and extra 10 feet above water so 40+10=50
Solve for
5(2 – 8) = 20
Answer:
Step-by-step explanation:
5x - 40 = 20
5x = 20 + 40
5x = 60
x = 60/5
x = 12
Answer:
x = 12
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define equation
5(x - 8) = 20
Step 2: Solve for x
Divide 5 on both sides: x - 8 = 4Add 8 on both sides: x = 12Step 3: Check
Plug in x into the original equation to verify it's a solution.
Substitute in x: 5(12 - 8) = 20Subtract: 5(4) = 20Multiply: 20 = 20Here we see that 20 does indeed equal 20.
∴ x = 12 is a solution to the equation.
8. Is this relation a function?
{(1, 1)(2, 2)(3, 3)(4, 4)}
a) Yes
b) No
Answer:
A
Step-by-step explanation:
In order to qualify for a bowling tournament, bowlers bowl 20 games. The results are normal. The average score was 167 with a standard deviation of 24.2.
What is the probability a bowler will score between 162 and 189?
Answer:
189
Step-by-step explanation:
bc that's just what I think
In CDE, the measure of angle E=90° the measure of C=16° and EC = 65 feet. Find the length of DE to the nearest tenth of a foot.
Answer:
7
Step-by-step explanation:
You just know when u got it
Answer:
Is 18.6 feet
Step-by-step explanation:
let s be the annual sales (in millions) for a particular electronic item. the value of s is 53.4 for 2008 . what does s
The meaning of s in the question is that it means the Annual Sales for a particular electronic item is 53.4millions for the year 2008
The Annual sales is the total amount of money that a company makes during the period of 12 months for the sale of a product.
In the question it is mentioned that the value of s is 53.4 for the year 2008.
and s denotes the annual sales for electronic item in that particular year .
S in the statement means Annual Sales for a particular electronic item in the year 2008 was of 53.4 millions.
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