The expression that correctly describes completing the square is;
Option C; x² + ax + (a/2)²
Let's say we have an expression;
x² + ax + c = 0
Let us first rearrange to get;
x² + ax = -c
Add (a/2)² to both sides to get;
x² + ax + (a/2)² = -c + (a/2)²
Thereafter, we can simplify the left hand side to give; (x + a/2)² = -c + (a/2)²
But from the given options, the only one with a corresponding step with what we have is option C which is x² + ax + (a/2)²
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PARALLEL PERPENDICULAR OR NEITHER OR SAME LINE
Answer:
parallel, perpendicular are opposite
Answer:
PARALLEL PERPENDICULAR
Step-by-step explanation:
Jason was a recent graduate from a university program with a Bachelor of Science in Medical Technology. He will begin a position at the local hospital working 40 hours a week with an hourly rate of $25.50. He will receive a paycheck every two weeks. In a document, calculate the following. Be sure to show your mathematical calculations.
Gross Pay for 1 paycheck
Deductions for federal tax, state tax, and city tax
Deduction for F.I.C.A. or social security tax
Deduction of $117 for medical and dental insurance.
What would Jason’s net monthly income and net annual salary be after taxes and insurance?
Answer:
Gross Pay for 1 paycheck
Deductions for federal tax, state tax, and city tax hope it helps :)
Step-by-step explanation:
The net monthly income of Jason is $194.68 and the net annual salary is 23324.16.
What is gross pay?Gross pay of an employee is basically sum of his basic pay, dearness allowance, any other allowance only. Public providend fund, income tax are not deducted from it.
How to find net pay?1) Gross paycheck=2*40*25.5=$2040.
2) Federal tax=2040*21%=$428.4
3) State tax=25=$25
4) City tax=2040*12%=$244.8.
5) Deductions=2040*12.45=$252.96.
6) Net monthly income=2*(Gross pay-federal tax-state tax-city tax-deductions-deductions for F.IC.A. or social security tax)
=2*[2040-428.4-25-244.8-252.96-117]
=1943.68
7) Net annual salary=12* net monthly income.
=1943.68*12 ( 1year= 12 months)
=$23324.16
Hence the net monthly income of Jason is $194.68 and the net annual salary is 23324.16.
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Find your own values that prove that tan(u-v) does not equal tan u - tan v. Show your work and explain why you chose these values.
To prove that tan(u - v) does not equal tan u - tan v, we start by assuming values for u and v.
To do this, we assume the following values
[tex]\mathbf{u = 75}[/tex]
[tex]\mathbf{v = 45}[/tex]
So, we have:
[tex]\mathbf{tan(u - v) \ne tan(u) - tan(v)}[/tex]
Substitute the assumed values for u and v
[tex]\mathbf{tan(75 - 45) \ne tan(75) - tan(45)}[/tex]
Subtract 45 from 75
[tex]\mathbf{tan(30) \ne tan(75) - tan(45)}[/tex]
Using a calculator, calculate the values of tan(30), tan(45) and tan(75)
So, we have:
[tex]\mathbf{0.5774 \ne 3.7321 - 1}[/tex]
Subtract 1 from 3.7321
[tex]\mathbf{0.5774 \ne 2.7321}[/tex]
Notice that the expression on the left-hand side and the expression on the right-hand side are not equal.
Hence, [tex]\mathbf{tan(u - v) \ne tan(u) - tan(v)}[/tex] is true
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Help me please!
Bill is building a fence around his garden. For every 3 feet of fencing, the cost is $21.
Complete the table below showing the length of the fence and the cost.
Answer:
(cost ---> length)
35 ---> 5
49 ---> 7
56 ---> 8
70 ---> 10
Someone plz help me :(
Step-by-step explanation:
option A is correct answer
Answer:
Should be C if not then A
Step-by-step explanation:
6.
3. Use the clues to determine
the number
I have 36 hundreds, 34 tens, and
7 ones. What number am I?
The number is 3947
It should be noted that 36 hundreds will be equal to:
= 36 × 100
= 3600
It should be noted that 34 tens will be:
= 34 × 10
= 340
7 ones will be:
= 7 × 1
= 7.
Therefore, the sum will be:
= 3600 + 340 + 7 = 3947
Answer:
3947
Step-by-step explanation:
Sixteen Students Have Registered For A Summer Sports Camp. They Are To Be Divided Into Either A Swimming Or A Tennis activity, with no more than 10 students IN EITHER GROUP. in how many ways could the group in the tennis activity be chosen?
There are 5 ways you could choose the group in tennis.
What is division?It is the basic arithmetic operation, in which you are separating the number into some parts.
Given:
The total no of students is 16,
As there can be only a maximum of 10 students in a group,
If the student in Swimming is 10 then in Tennis it will be 6,
If the student in Swimming is 9 then in Tennis it will be 7,
If the student in Swimming is 8 then in Tennis it will be 8,
If the student in Swimming is 7 then in Tennis it will be 9,
If the student in Swimming is 6 then in Tennis it will be 10,
Therefore, there are 5 ways you could choose the group in tennis.
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who can solve this equation and get the right answer
solve x-2y=12 if the domain is {-3,-1,0,2,5}
Answer:
x-2y=12
Solve for y
x-2y=12
Subtract x on both sides
-2y=-x + 12
Divide both sides by -2
y=\frac{1}{2}x - 6y=21x−6
the domain is {-3,-1,0,2,5}
Domain are the set of x values
Range are the set of y values
We are given with domain x, we need to find out y values using the equation y=\frac{1}{2}x - 6y=21x−6
when x=-3 , y=\frac{1}{2}(-3)-6=\frac{-15}{2}=-7.5y=21(−3)−6=2−15=−7.5
when x=-1 , y=\frac{1}{2}(-1)-6=\frac{-13}{2}=-6.5y=21(−1)−6=2−13=−6.5
when x=0 , y=\frac{1}{2}(0)-6=-6y=21(0)−6=−6
when x=2 , y=\frac{1}{2}(2)-6=-5y=21(2)−6=−5
when x=5 , y=\frac{1}{2}(5)-6=\frac{-7}{2}=-3.5y=21(5)−6=2−7=−3.5
Range is {-7.5, -6.5, -6 , -5, -3.5}
Step-by-step explanation:
solve the equation ? 1 equation with 2 variables ? that is not possible.
what you mean is probably find the range.
x - 2y = 12
-2y = -x + 12
2y = x - 12
y = (x - 12)/2 = (1/2)x - 6
x = -3
y = 1/2 × -3 - 6 = -1.5 - 6 = -7.5
x = -1
y = 1/2 × -1 - 6 = -0.5 - 6 = -6.5
x = 0
y = 1/2 × 0 - 6 = -6
x = 2
y = 1/2 × 2 - 6 = 1 - 6 = -5
x = 5
y = 1/2 × 5 - 6 = 2.5 - 6 = -3.5
so, the corresponding range of the function is
{-7.5, -6.5, -6, -5, -3.5}
Need help really quick look at the picture thank you soooooooo,, muchh
Answer:
The answer would be -7/12
Step-by-step explanation:
Use math.way itll help you tremendously :)
The force, f acting on a chraged object varies inversley to the square of its distance from another charged object. when the two objects are 0.64 meters apart, the force acting on them is 8.2 netwons
Btw also found a spelling mistake in the question:instead of newtons you put netwons- lol-
btw
Rounded to the nearest thousandth would be 4.444 Newtons (same units you solved for k with)
But anyway here you go:
~JamieWhat are the sums for both of those?
help on #8 please??
question is in picture
Answer:
x = 6
Step-by-step explanation:
To get rid of the fraction at the left side of the equation, multiply both sides by 4
20x + 60 = 180 now subtract 60 from both sides
20x = 120 divide both sides by 20
x = 6
Choose Yes or No to tell whether each expression is equivalent to this expression.
–3(0.15 – 0.2 + 0.25p)
0.15 – 0.75p
Choose...
–0.45 – 0.6 + 0.75p
Choose...
–3(–0.05 + 0.25p)
Choose...
–3(0.15) + (–3)(0.2) + (–3)(0.25p)
Choose...
Answer:
top to bottom,
Yes
No
Yes
Yes
PLS HELP ASAP ILL GIVE BRAINLKEST THANKS
Answer:
w>-20
Step-by-step explanation:
5. INDIRECT MEASUREMENT A lighthouse casts a 128-foot shadow. A nearby lamppost that
measures 5.25 feet casts an 8-foot shadow.
Write a proportion that can be used to determine the height of the lighthouse. What is the height of the lighthouse?
MGSE9-12.G.SRT 5
b. 5.25
a. 1285.25; 195 ft
X 128
8 ; 84 ft
128
c. 5.25" 8 ; 672 ft
X 128
d. 3 5.25; 195 ft
Using proportions, it is found that the height of the lighthouse is of 84 ft.
This question is solved by proportions, using a rule of three.For a height of 5.25 feet, the shadow is of 8 feet. What is the height when the shadow is of 128 feet?The rule of three is:
5.25 feet - 8 feet
x feet - 128 feet
Applying cross multiplication:
[tex]8x = 5.25(128)[/tex]
[tex]x = \frac{5.25(128)}{8}[/tex]
[tex]x = 84[/tex]
The height of the lighthouse is of 84 ft.
A similar problem, which also uses proportions, is given at https://brainly.com/question/24372153
I’ll mark brainliest!! Please help:)
Answer:
E
Step-by-step explanation:
" Draw three lines with slope 2, and three lines with slope 1/3. What do you notice "
Answer:
Step-by-step explanation:
1.
all the lines with slope 2 are parallel with each-other
all the lines with slope 1/3 are parallel with each-other
2.
all lines have positive slope so they go upward from left to right
3.
slope 2 is steeper then slope 1/3
4.
the distance between the parallel lines with slope (1/3) is greater for the lines with the slope 2
A radar gun measured the speed of a baseball at 92 miles per hour.
If the baseball was actually going 90.3 miles per hour, what was the percent error in this measurement?
Answer:
subtract the actual measurement from the initial measurement
ie. 92-90.3 =1.7 %
You can calculate the error and then measure how much percent of the real value, the error came.
The percent error in the considered measurement is of approx 1.88%
How to calculate the percent error?Suppose the actual value and the estimated values after the measurement are obtained. Then we have:
Error = Actual value - Estimated value
To calculate percent error, we will measure how much percent of actual value, the error is, in the estimated value.
[tex]\text{Percent error} = |\dfrac{Error}{\text{Actual value}}| \times 100 = |\dfrac{\text{(Actual value - Estimated value)} }{\text{Actual value}}| \times 100[/tex]
Sine in the given condition, we have:
Actual measurement = 90.3 miles per hourEstimated measurement = 92 miles per hourThus, we have
Error = 90.3 - 92 = -1.7 miles per hour
Thus, the percent error is calculated as:
[tex]\text{Percent error} = |\dfrac{-1.7 }{90.3}|\times 100 = \dfrac{1.7 \times 100}{90.3} = \dfrac{170}{90.3} \approx 1.88\%[/tex]
Thus,
The percent error in the considered measurement is of approx 1.88%
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help me brain pt Part 5
Mrs. Williams is cleaning her classroom. While cleaning, she found 771 Legos out of a pack of 1,000. How many Legos does she have left to find?
Answer:
229
Step-by-step explanation: do 1000-771 and u get the answer
Answer:
229
Step-by-step explanation:
To find how many are left, do the total minus the amount found:
1000 - 771 = 229
pls help asap! i will mark brainliest!
Answer:
19 or 17
Step-by-step explanation:
The proof shows that opposite angles of a parallelogram are congruent. Given: ABCD is a parallelogram with diagonal AC. Prove: ∠ BAD ≅ ∠ DCB What is the missing reason In this partial proof? Question 3 options:
ASA Substution Angle Angle Postulate Alternate Interior Angles are Congruent
A parallelogram is a figure which has its opposite sides to be equal and parallel. The missing reason in the proof is:
B. Substitution Angle Angle Postulate.
A parallelogram is a type of quadrilateral that has its opposite sides to be equal and parallel. The sum of its internal angles is [tex]360^{o}[/tex].
To prove that ∠ BAD ≅ ∠ DCB, we have:
Given parallelogram ABCD;
<BAC ≅ <ACD (alternate angle theorem)
<DAC ≅ <ACB (alternate angle theorem)
<BAC + <DAC = <BAD
Also,
<BCA + <DCA = <BCD
Therefore,
<BAD ≅ <DCB (Substitution Angle Angle Postulate)
Thus, the missing reason in the partial proof is:
option B. Substitution Angle Angle Postulate
A sketch is attached to this question for more clarifications.
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what is the answer too 2y-3=-5
2 − 3 = −5
First we need to Add 3 to both sides of the equation:
2 − 3 + 3 = −5 + 3
Then we simplify:
2 = −5 + 3
2 = −2
Now we divide both sides of the equation by the same term:
2 / 2 = −2 / 2
Final answer: = −1
I hope this helps!
Answer:
Y= - 1
Step-by-step explanation:
2y-3= - 5
+3 +3
2y= -2
/2 /2
Y= -1
Step 1: Add 3 to both sides because you want to cancel out the 3 so you do the opposite of what is say's. For example, if it says 2y-3 add 3 or 2y+3 subtract 3 from both sides.
Step 2: Add 3 to -5 which would be -2
Step 3: Since you're "multiplying" Y to 2 you're going to divide 2 to get Y by itself. So 2/2 cancels out and now you're left with y
Step 4: Divide 2 form -2 and you get -1
Let me know if you have any questions and I hope this helps
What is the length of the unknown side of the right triangle? A right triangle with hypotenuse x and legs 7 and 24 7 24 25 31
Answer:
X = 25
Step-by-step explanation:
To find the hypotenuse of a right triangle you use pythagorean theorm Where C = Hyp
A = Leg1
B = Leg 2
A^2 + B^2 = C^2
7^2 + 24 ^2 = x^2
49 + 576 = x^2
625 = X^2 (Square root both sides)
25 = x
-- Gage Millar, Algebra 1/2 tutor
What’s the answer to 4(1+9x)
Answer:
36x+4
hopes this helps
Answer:
Explanation:
4 ( 1 + 9x)
4 + 36x
Write using a fractional exponent.
Answer:
a number with a fractional exponent or power or index is the same as the denomination's root the whole number power the numerator
therefore the denominator will be three and numerator will be one
x²×⅓= x⅔
Find the perimeter. Simplify your answer.
Answer:
25x - 4
Step-by-step explanation:
10x + 2 + 8x + 7x - 6
= 25x - 4
if marked price = 1,540 during the off season a discount was given and it was sold for 1,463. find the discount and the discount percent
Answer:
The discount is $77, and the discount percent is 5%
Step-by-step explanation:
Discount: $1,540 - $1,463 = $77
Discount percent: $1,463 / $1,540 = 0.95, 1.00 - 0.95 = 0.05, 0.05 = 5%
What’s the answer, pls help me
Answer:
lower left
Step-by-step explanation:
v+3<=6.5
v<=3.5
-18 is less than 3.5
Step-by-step explanation:
It can't be the first one because [tex]v=-18[/tex] and were saying [tex]-v[/tex] and to negatives make a positive so our equation is
[tex]18+3[/tex] ≤[tex]-6.5[/tex] which is incorrect
The one below the first one is incorrect
It's correct since our equation is
[tex]-18+3\leq 6.5[/tex] which is correct
The top right one is correct because our equation is
[tex]18+3\leq 6.5[/tex] which is incorrect
The one below that is correct because our equation is
[tex]-18+3\geq 6.5[/tex] which is incorrect
Which equation has the solution x = 5?
Select each correct answer.
18−2x=9
x/5+5=6
32−4x=12
11 + 6x = 22
3x + 1 = 9
25/x+4=9