Answers
Answer & Step-by-step explanation:
The figure shown in the diagram is a square. Squares have equal lengths on all sides. So, in order to find out the side length, we will have to factor the area.
x² - 12x + 36
First, you will break down x² which will just be x and x. Since 12x is negative and 36 is positive, then we will use a minus sign.
(x - )(x - )
Now, we break down 36 which will be 6 and 6. After we do that, we will have our answer.
(x - 6)(x - 6)
So, the side length of the square is (x - 6) meters.
Related Questions
the roots of the equation 7x^2 +x-1=0 are:
real and distinct
real and equal
not real
none of these
Answers
Answer:
Correct option: First one -> real and distinct.
Step-by-step explanation:
To evaluate the roots of the equation 7x^2 + x - 1 = 0, lets find the discriminant Delta using the Bhaskara's formula:
[tex]\Delta = b^{2} - 4ac[/tex]
Where a, b and c are coefficients of the quadratic equation (in this case, a = 7, b = 1 and c = -1)
So we have that:
[tex]\Delta = 1^{2} - 4*7*(-1) = 29[/tex]
To evaluate the roots of the equation, we have the following cases:
[tex]\Delta > 0[/tex] : Two roots real and distinct
[tex]\Delta = 0[/tex] : Two roots real and equal
[tex]\Delta < 0[/tex] : Two roots not real
In our case, we have [tex]\Delta > 0[/tex], so the roots are real and distinct.
Correct option: First one
Marquis has 7 cups of yogurt. He gives his sister 3 3 5 cups of the yogurt, how much of Marquis’s yogurt remains?
Answers
Answer:
If you meant 3.5 then its 3.5.
Mr Hassan gave his Y7 class a test on Friday. Can anyone answer C correctly?
Answers
Answer:
you are assuming that everyone in the class took the test. 33 people took the test but there could be more in the class but they were just not there for the test.
Let $z$ and $w$ be complex numbers satisfying $|z| = 4$ and $|w| = 2$. Then enter in the numbers\[|z+w|^2, |zw|^2, |z-w|^2, \left| \dfrac{z}{w} \right|^2 \]below, in the order listed above. If any of these cannot be uniquely determined from the information given, enter in a question mark.
Answers
Answer:
a) |z+w|² cannot be uniquely determined from the information provided.
b) |zw|² = [|z| × |w|]² = (4×2)² = 64.
c) |z+w|² cannot be uniquely determined from the information provided.
d) |z/w|² = [|z|/|w|]² = (4/2)² = 4
Step-by-step explanation:
z & w are complex numbers with magnitudes
|z| = 4
|w| = 2
We are the told to find
|z + w|²
|zw|²
|z - w|²
|z/w|²
Let the complex numbers be
z = x + iy
w = a + ib
|z| = √(x² + y²) = 4
|w| = √(a² + b²) = 2
|z|² = x² + y² = 16
|w|² = a² + b² = 4
z+w = (x + iy) + (a + ib) = (x + a) + i(y + b)
|z+w|² = (x + a)² + (y + b)² = x² + 2ax + a² + y² + 2by + b²
= (a² + b²) + (x² + y²) + 2ax + 2by
= |w|² + |z|² + 2ax + 2by
= 4 + 16 + 2ax + 2by
= 20 + 2(ax + by)
This cannot be determined from the information provided.
zw = (x + iy)(a + ib) = ax + i(bx + ay) - by
= (ax - by) + i(bx + ay)
|zw|² = a²x² + b²y² - 2abxy + b²x² + a²y² + 2abxy
= a²x² + b²y² + b²x² + a²y²
= a²(x² + y²) + b²(x² + y²)
= (a² + b²)(x² + y²)
= |w|² × |z|²
= 4×16
= 64
c) z-w = (x + iy) - (a + ib) = (x - a) + i(y - b)
|z-w|² = (x - a)² + (y - b)²
= x² - 2ax + a² + y² - 2by + b²
= (a² + b²) + (x² + y²) - 2ax - 2by
= |w|² + |z|² - 2ax - 2by
= 4 + 16 - 2ax - 2by
= 20 + 2(ax + by)
This cannot be determined from the information provided.
d) z/w = (x + iy)/(a + ib)
Rationalizing by multiplying numerator and denominator by (a - ib)
(z/w)= [(x + iy)(a - ib)/(a + ib)/(a - ib)]
= [ax - by + i(ay - bx)]/(a² + b²)
|z/w|² = [(ax + by)² + (ay - bx)²]/(a² + b²)²
= [a²x² + b²y² + 2abxy + b²x² + a²y² - 2abxy]/(a⁴ + b⁴ + 2a²b²)
= [a²x² + b²y² + b²x² + a²y²]/[(a² + b²)² - 2a²b² + 2a²b²]
= [(a² + b²)(x² + y²)]/[(a² + b²)²]
= [(x² + y²)/(a² + b²)]
= |z|²/|w|²
= (4/2)²
= 4
Hope this Helps!!!
What is the average rate of change for this exponential function for the
interval from x = 2 to x = 4?,
A. -12
B. 12
C. -6
D. 6
Answers
Answer:
Option (D).
Step-by-step explanation:
In the figure attached,
An exponential function has been graphed with certain points marked on it.
To find the average rate of change for this function between the given interval we will use the formula,
Average rate of change = [tex]\frac{f(x_2)-f(x_1)}{y_2-y_1}[/tex]
where [tex]f(x_2)[/tex] = value of the function at x = 4
[tex]f(x_1)[/tex] = value of the function at x = 2
By substituting these values in the formula,
Average rate of change = [tex]\frac{16-4}{4-2}[/tex]
= [tex]\frac{12}{2}[/tex]
= 6
Therefore, Option D will be the answer.
Please help! Correct answer only! I need to finish this assignment before tomorrow.
In a raffle, one ticket out of 500 will win a $390 prize, three tickets will win a $230 prize, and sixteen tickets will win a $170 prize. The remaining tickets will win nothing. If you have a ticket, what is the expected payoff?
Answers
===========================================================
Work Shown:
1/500 = 0.002 is the probability of winning $390
3/500 = 0.006 is the probability of winning $230
16/500 = 0.032 is the probability of winning $170
Multiply the probabilities with their respective winnings
0.002*390 = 0.78
0.006*230 = 1.38
0.032*170 = 5.44
Then add up those results
0.78+1.38+5.44 = 7.60
which is the expected value.
Side note: This game is not a fair game because mathematically a "fair game" is defined as such where the expected value is 0; ie, neither the player nor the dealer win and things break even.
Find the simplest pattern and fill in the missing number. 45, 30, 18, 9, ... 0
Answers
Answer:
3 the patten is the previous subtracted about decrease by 3
Step-by-step explanation: the pattern decrease the number subtracted by 3 so it starts with 15 and goes to 12 then to 9 so the last one would be six and 9 - 6 = 3
b2 - 7b + 12 = 0
Factored equation: ( ) ( ) = 0
ANSWERS: b = ____, and b = ____
Answers
(b-3)(b-4)=0
b= 3 or 4
Answer: (b - 4)(b - 3); b = 4 and 3
Step-by-step explanation:
ima assume these are exponents since you didnt care to correctly write the equation.
What two numbers multiply to equal 12, but add to equal -7? That's -4 and -3
So the factored form of this trinomial is (b - 4)(b - 3) = 0. Make each of these expressions equal to 0 in order to get your answer.
Convert y = 8x^2-80x-32 to vertex form by completing the square.
Answers
Answer:
y = 8(x-5)^2 -232
Step-by-step explanation:
Factor out the 8 to get
y = 8(x^2-10x-4)
y = 8(x-5)^2 -232
Answer:
y = 8 (x - 5)^2 - 232
Step-by-step explanation:
Dividing the whole equation by 8, we get:
y = 8 (x^2 - 10x - 4)
y = 8 (x - 5)^2 - 232
Hope this helps!
what is the quotient (2x^2+12x+18) divided by (x+3)
CHOICES:
a. 2x+6
b. 2x-6
c. 2x+4
d. 2x-4, r=1
Answers
Answer:
A. 2x+6 is the correct answer
Fitness Classes cost £6 per person. The table shows the number of people who go to the classes on Thursday, Friday and Saturday.
The teacher earns 90% of the total paid.
How much does the teacher earn altogether on these days?
(4 marks)
Answers
Answer:
£216
Step-by-step explanation:
Cost = £6 per personTeacher earns = 90% of totalTotal number of people:
13 + 11 + 16 = £40Total payment:
40*6= £240Teacher earns in total per given week:
240*90/100 = £216Find the surface area.
Answers
The answer is c
Find the area of the triangle to get 72cm^2. There are two triangles so times 72 by 2 to get 144
Find the area of the first side by doing 12 x 30 = 360cm^2
Find the area of the second side by doing 9 x 30 = 270cm^2
Find the area of the base by doing 18 x 30 = 540cm^2
Add 144+360+270+540 = 1314cm^2
Um aparelho elétrico tem potência de 6500 watts. É usado quatro vezes ao dia. Sendo o valor do kwhR$0,25 determine o custo de energia elétrica no final de trinta dias, sabendo que o mesmo cada vez que é ligado no dia permanece ligado 2 horas e 36 minutos
Answers
Answer:
After thirty days with the mentioned use the cost of the device is R$ 507,00.
Step-by-step explanation:
We first need to calculate its total power consumption over the 30 days. Since its turned on four times a day for 2 h and 36 min each, we need to multiply this time by 4 to have the time it's turned on in a day and multiply that by 30 to calculate its total power consumption. Although, we need to convert the time from hours and minutes to only hours, to do that we divide the minutes part by 60 and sum it on the hour part. All of this is done below:
[tex]t = 2 + \frac{36}{60} = 2.6 \text{ h}[/tex]
[tex]\text{dayly time} = 4*t = 4*2.6 = 10.4 \text{ h}[/tex]
[tex]\text{monthly time} = 30*\text{dayly time} = 30*10.4 = 312\text{ h}[/tex]
[tex]\text{total power consumption} = \text{monthly time}*6500 = 312*6500\\\text{total power consumption} = 2028000 \text{ W} = 2028 \text{ kW}[/tex]
[tex]\text{total cost} = \text{total power consumption}*0.25\\\text{total cost} = 2028*0.25\\\text{total cost} = 507[/tex]
After thirty days with the mentioned use the cost of the device is R$ 507,00.
The Andersons can set up 6 tables in 1 hour. How many tables can they set up in 5 hours?
They can set up
_______ tables in 5 hours.
Answers
Answer:
To find this out, you simply multiply 6x5 which is 30
HIIII HELP ME ME HE HE
Answers
Answer:
x = 28
y = 32
Step-by-step explanation:
3
4
(x−12)=12
(
3
4
)(x)+(
3
4
)(−12)=12(Distribute)
3
4
x+−9=12
3
4
x−9=12
Step 2: Add 9 to both sides.
3
4
x−9+9=12+9
3
4
x=21
Step 3: Multiply both sides by 4/3.
(
4
3
)*(
3
4
x)=(
4
3
)*(21)
x=28
Answer:
x=28
3
4
y−12+12=12+12
3
4
y=24
Step 2: Multiply both sides by 4/3.
(
4
3
)*(
3
4
y)=(
4
3
)*(24)
y=32
Answer:
x = 28
y = 32
Step-by-step explanation:
Equation 1:
First, we will distribute the 3/4 to everything in the parentheses like this:
[tex]\frac{3x}{4} - \frac{36}{4} = 12[/tex]
We can simplify the 36/4 down like this:
[tex]\frac{3x}{4} - 9 = 12[/tex]
We can add the 9 to the other side:
[tex]\frac{3x}{4} = 21[/tex]
Then multiply the 4 to the other side
[tex]3x = 84[/tex]
Finally, we can divide by 3
[tex]x = 28[/tex]
Equation 2:
We can add 12 to the other side:
[tex]\frac{3y}{4} = 24[/tex]
Then multiply 24 by the 4
[tex]3y = 96[/tex]
Then divide by 3
[tex]y = 32[/tex]
The ratio of the sides of EBD to the sides of ABC is 3:4. Calculate the side lengths of ABC (Round to the nearest hundredth)
Answers
Answer:
The side lengths of triangle ABC are 6, 6.67 and 5.33
Step-by-step explanation:
In this question, we are interested in calculating the lengths of triangle ABC
ED: AC = 3:4
4.5:AC = 3:4
4.5/AC = 3/4
3AC = 4 * 4.5
3AC = 18
AC = 18/3 = 6
EB:AB = 3:4
5/AB = 3/4
3AB = 4 * 5
3AB = 20
AB = 20/3 = 6.67
DB:CB = 3/4
4/CB = 3/4
3CB = 4 * 4
CB = 16/3 = 5.33
What is x value?? :D
Answers
Answer:
x=6
Step-by-step explanation:
You can reach this answer by doing
4+(x-3) = 2x-5
If you do this equation you will get 6 as your answer.
Hope this helps :)
Factor out the GCF from the following polynomials.
1) 45m^5-25m^4-20m^2-35m=? 2) 35x^2-15x^3+5x^4=? 3) 6ab^6-14a^2b^4+2a^5b^3=?
Answers
Answer:
Step-by-step explanation:
i hope
the the answer is 2ab3(a4+3b3−7ab)
hope it helps.
sorry if it wrong
-Delilah
Please answer correctly !!!!!!! Will mark brainliest !!!!!!!!!!!
Answers
Answer:
-8
Step-by-step explanation:
f(1) = -2
g(4)= 6
-8 *(-2) -4 * 6 = 16 -24 = -8
For which rational expressions is 5 an excluded value? Select two options.
X+5/X-5
x²-5/x² +5
X-3/x² - 25
2 x + 1/x2 + 25
X-5/
x² + 5x
Answers
Answer:
first one and the second one.
Step-by-step explanation:
nothing ：)
Answer:
this is right
4 lines extend from point B. A line extends straight up from B to point A. Another line extends up and to the right to point C. Another line extends slight up and to the right to point D. The other line extends slightly down and to the right to point E.
Given that ∠ABC ≅ ∠DBE, which statement must be true
Answers
Answer:
∠ABD ≅ ∠CBE
Step-by-step explanation:
took the course
Calculate the probability of all three events occurring.
Answers
Answer:
even = 1/2
prime = 1/2
multiple of 5 = 1/6
Step-by-step explanation:
probability is the chances of obtaining a certain result out of many attempts.
when rolling a die, the maximum number of results you can get is 6
Then, calculate how many times each of the occurrences appear(even, prime or multiples of 5)
Even = There are only 3 even numbers from 1 to 6
Prime: There are only 3 primes from 1 to 6
Multiples of 5 = There is only one multiple of 5.
Now you present each of this out of 6:
Even: 3/6 = 1/2
Prime: 3/6 = 1/2
Multiple of 5 = 1/6
This can also be presented as a decimal or percentage:
Even: 50% = 0.5
Prime: 50% = 0.5
Multiple of 5 = 16.67% = 0.16
Hope this helps.
Good Luck
Bill is purchasing accordion lessons. There is a $20 materials fee and each lesson costs $15. Write an equation for the situation and then determine how many lessons Bill took if his total cost was $125.
Answers
Answer:
The equation is 20 + 15x. Bill took 7 lessons.
Step-by-step explanation:
Let x represent the number of lessons Bill take. Then,
the total cost = materials fee + (each lesson cost).x
Since the materials fee is $20 and each lesson costs $15
The total cost = 20 + 15x
Since Bill's total cost was $125:
→ 125 = 20 + 15x
→ 105 = 15x
→ x = 7
I need help with this question
Answers
Answer:
133
Step-by-step explanation:
Answer is 133
[tex]answer \\ = 133 \\ please \: see \: the \: attached \: picture \: for \: full \: solution \\ hope \: it \: helps[/tex]
Please help!- this is 20% of my grade so I can pass 7th grade
Answers
The Answer for the open ended is easy just compare how they are different( The Y from the do now and the Y from this chart)
2. Y=1/2
Write down the value of 2jk - 10j when j = 9 and k = 2 Write down only the number, nothing else
Answers
Answer:
-54
Step-by-step explanation:
2jk - 10j
Let j = 9 and k=2
2*9*2 - 10 *9
36 - 90
-54
Find the circumference of the circle.
Use 3.14 for Pi
c=2pi r
13 cm
Give your answer to the nearest hundredth.
Answers
Answer:
81.64
Step-by-step explanation:
2(3.14)=6.28
6.28*13=81.64
Plug r into the equation provided...
c = 2(3.14)(13)
c = 81.64cm
Part 1
Find the surface area of one box.
The surface area is
62(answered)
square inches.
Part 2
Find the total surface area of 100 boxes.
The total surface area of 100 boxes is
6,200(answered)
square inches.
Part 3 out of 3
One can of paint will cover 14,000 square inches. How many cans of paint will Yolanda need to buy?
Yolanda will need to buy (blank)
cans.
Answers
Plzzzzz urgenttttt❤️❤️❤️
Answers
D. 2322.50
Step-by-step explanation:
I hope it's right.
the rocket ship will travel 2.1 x 10y. what is the value of y in the solution
Answers
Answer:
47
Step-by-step explanation:
