Place the indicated product in the proper location on the grid.
(3a + 2c )(9a 2 - 6ac + 4c 2 )
Answer:
The product of [tex]\left(3a+2c\right)\left(9a^2-6ac+4c^2\right)=8c^3+27a^3[/tex]
Step-by-step explanation:
Given: Polynomial [tex]\left(3a+2c\right)\left(9a^2-6ac+4c^2\right)[/tex]
We have to place the indicated product in the proper location o the grid.
Consider the given product [tex]\left(3a+2c\right)\left(9a^2-6ac+4c^2\right)[/tex]
Using distributive property, Multiply each term of first bracket with each term of last bracket, we have,
[tex]=3a\cdot \:9a^2+3a\left(-6ac\right)+3a\cdot \:4c^2+2c\cdot \:9a^2+2c\left(-6ac\right)+2c\cdot \:4c^2[/tex]
Apply plus-minus rule [tex]+\left(-a\right)=-a[/tex] , we have,
[tex]=3\cdot \:9a^2a-3\cdot \:6aac+3\cdot \:4ac^2+2\cdot \:9a^2c-2\cdot \:6acc+2\cdot \:4c^2c[/tex]
Simplify, we have,
[tex]=27a^3-18a^2c+12ac^2+18a^2c-12ac^2+8c^3[/tex]
Adding similar terms, we have,
[tex]=8c^3+27a^3[/tex]
Thus, The product of [tex]\left(3a+2c\right)\left(9a^2-6ac+4c^2\right)=8c^3+27a^3[/tex]
Location on grid is as shown below
Printer paper is sold in packages of 500 sheets. of a printing job uses 1 3/4 packages of paper how may sheets is that
The printing job that uses 1 3/4 packages of printer paper requires 875 sheets.
To determine how many sheets of paper are used in a printing job that uses 1 3/4 packages of paper, follow these steps:
First, understand that 1 package contains 500 sheets of printer paper.Next, convert the mixed number 1 3/4 to an improper fraction. This is done by multiplying the whole number (1) by the denominator (4) and adding the numerator (3), giving us 7/4.Now, multiply the number of packages (7/4) by the number of sheets per package (500):Therefore, the printing job uses 875 sheets of paper.
Can anyone answer this ???
Two buildings are 200 feet apart. the height of the taller building is 50 ft. the angle of depression from the top of the taller building to the top of the shorter building is 8°. what equation below will correctly determine the height (h) of the shorter building?
3. In the rhombus, what are m∠1, m∠2 and m∠3? The diagram is not drawn to scale.
Answer: m∠1 = 128°, m∠2 = 26° and m∠3 = 26°.
Step-by-step explanation: We are given to find the measures of ∠1, ∠2 and ∠3 in the figure.
As shown in the attached figure, ABCD is a rhombus, where m∠A = 128°.
We know that, in a rhombus, all the sides are congruent, the opposite angles are congruent and the adjacent angles are supplementary.
So, from rhombus ABCD, we have
[tex]m\angle A=m\angle C~~~~~\textup{[opposite angles]}\\\\\Rightarrow m\angle 1=128^\circ.[/tex]
Also, in ΔBCD, we have
[tex]BC=CD~~\textup{[all the sides are congruent]}\\\\\Rightarrow m\angle 3=m\angle 2~~\textup{[angles opposite to congruent sides care congruent]}.[/tex]
Now, since the sum of three angles of a triangle is 180°, we have from ΔBCD that
[tex]m\angle 1+m\angle 2+m\angle 3=180^\circ\\\\\Rightarrow 128^\circ+m\angle 2+m\angle 2=180^\circ\\\\\Rightarrow 2\times m\angle 2=180^\circ-128^\circ\\\\\Rightarrow 2\times m\angle 2=52^\circ\\\\\Rightarrow m\angle 2=26^\circ.[/tex]
Therefore, m∠3 = 26°.
Thus, m∠1 = 128°, m∠2 = 26° and m∠3 = 26°.
What is the value of b^2 - 4ac for the following equation?
x^2 + 5x + 4 = 0
A: 9
B: 16
C: 25
Two numbers are in the ratio of 5:6 if the sum of the numbers is 66 find the largest number
Which expressions are polynomials?
Select each correct answer.
A.20x² + y
B.20x2+y12
C.20x2y
D.20x²
Answer:
Step-by-step explanation:
Polynomial :
An expression that can have constants (like 4), variables (like x or y) and exponents (like the 2 in [tex]y^{2}[/tex]), that can be combined using addition, subtraction, multiplication and division, but:
no division by a variable.
a variable's exponents can only be 0,1,2,3,... etc.
it can't have an infinite number of terms.
Thus according to definition all are polynomials
A.20x² + y
B.20x2+y12
C.20x2y
D.20x²
The Rotation R maps all 60° about O the center of the regular hexagon. State the image of B for the following rotation.
R^6 =
B
E
O
Answer:
B will be at same place after all six rotations.
Step-by-step explanation:
If rotation maps to [tex]60^{\circ}[/tex]
Then [tex]R^6[tex] means six rotations .
The given B after one rotation will shift in place of A
After second rotation will shift in place of F
After third rotation will shift in place of E
After fourth rotation will shift in place of D
After fifth rotation will shift in place of C
After sixth rotation will shift in place of B itself.
Therefore, B will come back to same place after all the required rotations.
HELPPPPPPPPPPPPPPPPPPPPPPPP
-4x ²-3x+2=0
can you help me solve this
Answer:
x = (-3 ±√41)/8
Step-by-step explanation:
When you match your equation to the form ...
... ax² +bx +c = 0
you can see that ...
a = -4b = -3c = 2These are the values you use in the quadratic formua to find the solutions for x.
... x = (-b ±√(b²-4ac))/(2a) . . . . . . the quadratic formula
... x = (-(-3) ±√((-3)² -4(-4)(2)))/(2(-4)) . . . . fill in a, b, c
... x = (3 ±√(9+32))/(-8) . . . . simplify a bit
... x = (-3 ±√41)/8 . . . . . . put the minus sign in the numerator
Somebody please help .. What is the exact volume of this right cone ?
at the school carnival tickets can be exchanged for prizes. Mason wants a comic book that cost a 176 tickets. He needs 8 times as many tickets as he has now. How many tickets does mason have now?
A charged particle is projected in the air such that its horizontal (x) and vertical (y) shifts are given by x(t) = 10t − t2 and y(t) = 6t, where x and y are in meters and time t is in seconds. What is the ratio of y to x at t = 4 seconds?
Alex was thinking of a number. Alex subtracts 14 from it and gets an answer of 29.6. What was the original number?
Round each number to the nearest hundred and estimate the sum.
1,841 + 964
2,900
2,800
2,700
2,600
Answer:
The answer is 2,800 (B)
Good Luck :)
For each value of w, determine whether it is a solution to -56=7(w-3).
what is the factored form of the expression? w^2 + 12w + 36
Answer:
[tex](w+6)^2[/tex] is the factored form of the given expression.
Step-by-step explanation:
The given expression is:
[tex]w^2+12w+36[/tex]
Simplifying the above given expression, we get
[tex]w^2+6w+6w+36[/tex]
[tex]w(w+6)+6(w+6)[/tex]
[tex](w+6)(w+6)[/tex]
[tex](w+6)^2[/tex]
Which is the required factored form of the given expression.
How many feet are in 100 meters if 1 meter is 1.09 yards? Will mark brainliest if you include clear steps. Thank you!
John says the transformation rule (x, y) --> (x + 4, y + 7) can be used to describe the slide of the pre-image (4, 5) to the image (0, –2). What was his error?
Answer:
The pre-image is the point you start with. To check the transformation rule, substitute the values of the coordinates (4, 5) into the rule. You get (4, 5) → (4+4, 5+7). Simplify to get (4, 5) → (8, 12). This is the image. Instead the rule was applied to the image. This is the source of the error.
Which of the following is the graph of
btw A is wrong (the 2nd pic)
Can someone solve the equation |x+8| = x+8
Thank you!
Which number is a solution of the inequality? Y>1.9 (1 point)
A. -9
B. -2
C. 2
D. 1.9
Please help!! I'm way behind!
Choose the graph that matches the following system of equations: 2x + y = −1 3x + 2y = −6
Select one:
a. picture of coordinate plane with line y equals negative 2x plus 1 and line y equals 3 halves x minus 6. They intersect at 2, negative 3
b. picture of coordinate plane with line y equals negative 2x minus 1 and line y equals negative 3 halves x minus 3. They intersect at 4, negative 9
c. picture of coordinate plane with line y equals 2x minus 1 and line y equals negative 3x minus 3. They intersect at negative 0.4, negative 1.8
d. picture of coordinate plane with line y equals negative 2x minus 1 and line y equals 3 halves x plus 6. They intersect at negative 2, 3
Answer:
B
Step-by-step explanation:
Got it right on the test
Hope this helps :)
Find all solutions in the interval [0, 2π).
sec2x - 2 = tan2x
a) No solution
b) x = pi/3
c) x = pi/4
d) x = pi/6
Given sinx=0.9 , what is cosx ? Enter your answer as a decimal in the box. Round only your final answer to the nearest hundredth.
It is given sinx=0.9 .We need to find cosx.
We use the identity :
[tex] sin^{2} x + cos^{2} x =1 [/tex]
Substituting sinx=0.9
[tex] (0.9)^{2} +cos^{2} x =1 [/tex]
[tex] 0.81+cos^{2} x=1 [/tex]
Substracting 0.81 both sides:
[tex] cos^{2} x =1-0.81 [/tex]
[tex] cos^{2} x=0.19 [/tex]
Taking root of both sides cosx=0.435
Rounding to nearest hundredth
cosx=0.44.
What is a possible value of sin(theta) when cos2(theta)=0.73?
a.0.37
b.0.63
c.0.26
d.0.74
The correct answer is option a. 0.37.
Given that [tex]cos(2\theta) = 0.73[/tex], find a possible value of sin(theta).
It is known that:
[tex]cos(2\theta) = 1-2sin^2(\theta)[/tex].
Substituting the given value:
[tex]0.73 = 1-2sin^2(\theta)[/tex]
Rearrange to solve for sin²(theta):
[tex]2sin^2(\theta)=1-0.73[/tex]
[tex]2sin^2(\theta)=0.27[/tex]
[tex]sin^2(\theta)=0.135[/tex]
So, [tex]sin(\theta) = \sqrt{0.135}\ or\ sin(\theta) = -\sqrt{0.135}[/tex].
Since we are looking for a possible value, we take the positive root:
[tex]sin(\theta) \approx 0.367[/tex]
Considering the options given, the closest possible value is 0.37.
In a bag there are 4 blue marbles,8 red marbles, and 5 orange marbles. if two marbles are drawn without replacement find the probability that both marbles are the same color, the second marble being red. the first being blue the second being orange
Find the area of the shaded polygons:
The total area of the figure is 8 square units.
How to find the area?
Remember that the area of a triangle is equal to its height times its base over 2.
In the image we can see 3 triangles, the larger one has a height of 3 units and a base of 4 units, so its area is:
A = 3*4/2 = 6 square units.
The bottom left triangle has a base of 1 unit and a height of 1 unit, so its area is:
A' = 1*1/2 = 0.5 square units.
The bottom right triangle has a base of 3 units, and a height of 1 unit, so its area is:
A'' = 1*3/2 = 1.5 square units.
The total area is:
A + A' + A'' = (6 + 0.5 + 1.5) square units = 8 square units.
If you want to learn more about area, you can read:
https://brainly.com/question/24487155
Find the slope-intercept form of the line that passes through the given points. Include your work in your final answer. Type your answer in the box provided or use the upload option to submit your solution.
(1, -5) and (5, -1)