Answer:
a = 9
Step-by-step explanation:
First we need to add (x^2+3x) to (3x^2+ax),
(x^2+3x)+(3x^2+ax)
Expand
= x^2+3x+3x^2+ax
Collect the like terms
= x^2+3x^2+3x+ax
= 4x^2 + 3x + ax
= 4x^2+(3+a)x
Equate the solution to 4x^2+12x
4x^2+(3+a)x = 4x^2+12x
Comparing the like terms on both sides
(3+a)x =12x
3 + a = 12
a = 12 - 3
a = 9
Hence the value of a is 9
Please help me with this
Can someone please help me answer this question asap thank you . No links please and thank you .
Can someone please help me with question 5?
I need REAL Help
Answer:
Step-by-step explanation:
the slope is uphill.. so we know it's positive
I can also see that that it's 1 up and 1 over so the slope is 1
the line also hits at -9 on the y axis
so
y = x - 9
solve the system by substitution 3x-y=10 2x=y
Answer
X=10 and y=20
Step-by-step explanation:
since y=2x, you need to substitute that into the equation to get:
3x-(2x)=10
And evaluate:
x=10
Then substitute 10 into the equation: 2x=y:
2(10)=y
evaluate:
20=y
Now go back to the original equation to check your answer and substitute the values in:
3(10)-(20)=10
30-20=10
10=10
What is the value of 4^3
Answer:
the answer is 64
Step-by-step explanation:
becasue 4 time 4 is 16 and 16 times 4 is 64. You have to multiply 4 against itself 3 times.
Answer:
64
Step-by-step explanation:
4³ = 4 · 4 · 4 = 64
There is a bag filled with 4 blue and 5 red marbles.
A marble is taken at random from the bag, the colour is noted and then it is replaced.
Another marble is taken at random.
What is the probability of getting 2 blues?
Answer:
17/55 if simplified otherwise 34/110
Step-by-step explanation:
Answer:
16/81
Step-by-step explanation:
this is the answer that came up on hegarty
Please help me out with this I don’t understand it
Answer:
x = 7.55
Step-by-step explanation:
a = x
b = 8
c = 11
a² + b² = c²
x² + 8² = 11²
x² + 64 = 121
x² = 121 - 64
x² = 57
[tex]\sqrt{x^2} =\sqrt{57}[/tex]
x = 7.5498
Rounded to hundredths:
7.55
what is the answer to the equation “what is 3 time 5”
Answer:
15
Step-by-step explanation:
When you multiply 3 to 5 you get 15 it is basic math. Or you can count out 5 plus 5 plus 5 if you need too.
Cups by the water cooler are in the shape of a cone. The height is 15 cm and the diameter is 7.6 cm.
What is the volume of one water cooler cup, in cubic centimeters? (Use 3.14 for
π.)
Answer:
226.7 cm³
Step-by-step explanation:
The cone volume formula is V = (1/3)(base area)(height).
Here that comes out to V = (1/3)(pi)(3.8 cm)^2·15 cm, or 226.7 cm³
Helpppp I need this for rn thank youuuuu❤️
Answer:
-1,7
0,-3
1,-7
5,47
Step-by-step explanation:
-x-=+
Sinx = [tex]\frac{3}{8}[/tex]
Find cosx and tanx
Answer:
Cos(x) = sqrt(55) / 8; tan(x) = 3/sqrt(55)
Step-by-step explanation:
Sine is opposite over hypotenuse. So we get that the opposite is 3 and the hypotenuse is 8. To find the adjacent (which we'll need for cosine and tangent), we can use pythagoras' theorem. Therefore, 8^2 = 3^2 + A^2, where A is the adjacent. A then must equal sqrt(64-9) = sqrt(55).
Cosine is adjacent over hypotenuse, which is then sqrt(55) / 8. Tangent is opposite over adjacent, which is then 3 / sqrt(55) or (sqrt55)*3/55
What is the probability that someone in your class wants the New England Patriots to win
Answer:
Step-by-step explanation:
It all depends on how many people are in your class.
To calculate probability
Determine a single event with a single outcome.
Identify the total number of outcomes that can occur.
Divide the number of events by the number of possible outcomes.
To determine the probability, Use the formula
What is the formula of probability?
P(A) is the probability of an event “A” n(A) is the number of favourable outcomes. n(S) is the total number of events in the sample space.
P(A | B) = P(A∩B) / P(B)
someone help me, will be giving brainliest, thanks. this is due today. just one question.
Answer:
8,-6
Step-by-step explanation:
x^2 -6x +8 = 0
(x-4)(x-2)
Rob's office recycled a total of 12 kilograms of paper over 2 weeks. How many weeks will it
take Rob's office to recycle a total of 18 kilograms of paper? Assume the relationship is
directly proportional.
weeks
Submit
Answer:
Weeks thats easy man
Step-by-step explanation:
HELP
PLZZZ Z DONT GIVE ME A LINK
Answer:
These relationships are realted because the variable is multiplied by ten to get the function.
9cm: 90mm
12 1/4cm: 122.5mm
50cm: 500mm
88.49cm: 884.9mm
By the way, can you follow me on Brainly?
Thanks!
Solve: 16х2 - 81 = 0. (2 points)
Ox = 4, 9
Ox= -4, -9
ООО
9
х=
О
х
81
16
16
HELP PLEASEEE
Answer:
x=9/4,x=-9/4
Step-by-step explanation:
16x^2−81=0
Step 1: Add 81 to both sides.
16x^2−81+81=0+81
16x^2=81
Step 2: Divide both sides by 16.
16x^2/16 = 81/16
x^2 = 81/16
Step 3: Take square root.
x = ±√81/16
x=2.25,x=−2.25
Convert to fraction form.
x=9/4,x=-9/4
Select the correct answer.
Consider this equation.
cos(8) = -
If 8 is an angle in quadrant II, what is the value of tanê)?
ОА.
15
8
ов. 15
ос. -
✓15
8
OD. 15
Using trigonometric identities, it is found that the value of the tangent of the angle is given by:
B. [tex]-\frac{\sqrt{15}}{7}[/tex]
What is the tangent of an angle?The tangent of an angle is given by it's sine divided by it's cosine, that is:
[tex]\tan{\theta} = \frac{\sin{\theta}}{\cos{\theta}}[/tex]
In this problem, we have that:
[tex]\cos{\theta} = -\frac{7}{8}[/tex]
The following identity is applied:
[tex]\sin^2{\theta} + \cos^2{\theta} = 1[/tex]
Then:
[tex]\sin^2{\theta} + \left(-\frac{7}{8}\right)^2 = 1[/tex]
[tex]\sin^2{\theta} + \frac{49}{64} = 1[/tex]
[tex]\sin^2{\theta} = \frac{15}{64}[/tex]
[tex]\sin{\theta} = \pm \frac{\sqrt{15}}{8}[/tex]
Since it is on the second quadrant, it is positive, hence:
[tex]\sin{\theta} = \frac{\sqrt{15}}{8}[/tex]
Applying the tangent equation:
[tex]\tan{\theta} = \frac{\sin{\theta}}{\cos{\theta}}[/tex]
[tex]\tan{\theta} = \frac{\frac{\sqrt{15}}{8}}{-\frac{7}{8}}[/tex]
[tex]\tan{\theta} = -\frac{\sqrt{15}}{7}[/tex]
More can be learned about trigonometric identities at https://brainly.com/question/22591162
A farmer plants the same amount every day, adding up to 212 acres at the end of the year. If the year is 23 over, how many acres has the farmer planted?
Answer:
4876 acres
Step-by-step explanation:
212 x 23 = 4876
Can someone help me with these questions?
help! brainliest!!! picture below
Using the formula below, calculate the z-score for the listed data points. z-score: zx = x − μ σ z1 = z5 = z6.5 =
Answer:
z1 = -1.95
z5 = 0.05
z6.5 = 0.8
Step-by-step explanation:
The value of the z score for a mean of 4 and standard deviation is 1.
What is Z score?The z score is used to determine by how many standard deviations the raw score is above or below the mean. It is given by:
z = (x - μ)/σ
Where x is the raw score, μ is the mean and σ is the standard deviation.
Let us assume that μ = 4, σ = 2, hence for x = 6:
z = (6 - 4) / 2 = 1
The value of the z score for a mean of 4 and standard deviation is 1.
Find out more on Z score at: https://brainly.com/question/25638875
please help me!! 8th grade math, Pythagorean Theorem
Answer:
Step-by-step explanation:
-To find the incline do:6^2+14^2=x^2
Than whatever your 6 and 14 equal, find the square root of it
The following table is from rolling a six sided die 120 times.
Roll 1 2 3 4 5 6
Frequency 15 18 20 17 24 26
What is the experimental probability of rolling anything other than a 2?
Answer: did you ever get the answer ?
Step-by-step explanation:
7428.358146 round to nearest cent
Answer:
7428.40
Step-by-step explanation:
1. Whats the exact value of Y?
2. Whats the exact value of X?
Answer:
Hello! The answer is in this link.
Step-by-step explanation:
8518-06-04-10-15-instructional.mp4. I hope this helps! Have a great rest of your day!
Rob's office recycled a total of 12 kilograms of paper over 2 weeks. How many weeks will it
take Rob's office to recycle a total of 18 kilograms of paper? Assume the relationship is
directly proportional.
weeks
HOW MANY WEEKS ???
Answer:
3 unless you're adding onto the 12 kilograms, then only 1
Step-by-step explanation:
Regular hexagon ABCDEF is inscribed in circle X and has an apothem that is 6√3 inches long. Use the length of the apothem to calculate the exact length of the radius and the perimeter of regular hexagon ABCDEF. In your final answer, include your calculations.
Answer:
Part A
[tex]The \ circumradius, \ R = \dfrac{a}{cos \left(\dfrac{\pi}{n} \right)}[/tex]
Plugging in the given values we get;
[tex]The \ circumradius, \ R = \dfrac{6 \cdot \sqrt{3} }{cos \left(\dfrac{\pi}{6} \right)} = \dfrac{6 \cdot \sqrt{3} }{\left(\dfrac{\sqrt{3} }{2} \right)} = 6 \cdot \sqrt{3} \times \dfrac{2}{\sqrt{3} } = 12[/tex]
R = 12 inches
The radius of the circumscribing circle is 12 inches
Part B
The length of each side of the hexagon, 's', is;
[tex]s = a \times 2 \times tan \left(\dfrac{\pi}{n} \right)[/tex]
Therefore;
[tex]s = 6 \cdot \sqrt{3} \times 2 \times tan \left(\dfrac{\pi}{6} \right) = 6 \cdot \sqrt{3} \times 2 \times \left(\dfrac{1}{\sqrt{3} } \right) = 12[/tex]
s = 12 inches
The perimeter, P = n × s = 6 × 12 = 72 inches
The perimeter of the hexagon is 72 inches
Step-by-step explanation:
The given parameters of the regular hexagon are;
The length of the apothem of the regular hexagon, a = 6·√3 inches
The relationship between the apothem, 'a', and the circumradius, 'R', is given as follows;
[tex]a = R \cdot cos \left(\dfrac{\pi}{n} \right)[/tex]
Where;
n = The number of sides of the regular polygon = 6 for a hexagon
'a = 6·√3 inches', and 'R' are the apothem and the circumradius respectively;
Part A
Therefore, we have;
[tex]The \ circumradius, \ R = \dfrac{a}{cos \left(\dfrac{\pi}{n} \right)}[/tex]
Plugging in the values gives;
[tex]The \ circumradius, \ R = \dfrac{6 \cdot \sqrt{3} }{cos \left(\dfrac{\pi}{6} \right)} = \dfrac{6 \cdot \sqrt{3} }{\left(\dfrac{\sqrt{3} }{2} \right)} = 6 \cdot \sqrt{3} \times \dfrac{2}{\sqrt{3} } = 12[/tex]
The circumradius, R = 12 inches
Part B
The length of each side of the hexagon, 's', is given as follows;
[tex]s = a \times 2 \times tan \left(\dfrac{\pi}{n} \right)[/tex]
Therefore, we get;
[tex]s = 6 \cdot \sqrt{3} \times 2 \times tan \left(\dfrac{\pi}{6} \right) = 6 \cdot \sqrt{3} \times 2 \times \left(\dfrac{1}{\sqrt{3} } \right) = 12[/tex]
The length of each side of the hexagon, s = 12 inches
The perimeter of the hexagon, P = n × s = 6 × 12 = 72 inches
The perimeter of the hexagon = 72 inches
Answer: radius = 12, perimeter = 72
Step-by-step explanation:
We know that in 30-60-90 right triangles, the hypotenuse is exactly twice the length of the short leg and the long leg is the short leg times √3.
so therefore, if the long leg (apothem) is equal to 6√3, the short leg is equal to 6
long leg = 6√3
long leg = short leg √3
short leg = 6
hypotenuse (radius) = 2(short leg)
hypotenuse (radius) = 2(6)
hypotenuse (radius) = 12
The radius of hexagon ABCDEF = 12 inches
Perimeter = r (sides)
Perimeter = r (6)
Perimeter = 12 (6)
Perimeter = 72
The perimeter of hexagon ABCDEF = 72 inches
which question can be answered using the expression 1/3 didvied by 3/4
Answer:
1/3 divided by 3/4 = 0.44
Step-by-step explanation:
1/3 (0.33) divide by 3/4 (0.75) = 0.44
An object is launched directly upward at 64 feet per second from a platform 80 feet high. Write the function for the height of this object at any given time (t seconds).
Answer: 144 feet
Step-by-step explanation:
Find the CIRCUMFERENCE of a circle with the DIAMETER of 11 ft.
HELP PLS
Answer:
half of 11 is: 5.5
5.5 x 3.14 x 2 = 34.54