Answer:
a^2b^2+6abx+9c^2
Step-by-step explanation:
(a + b)2 = a2 + 2ab + b2
(ab+3c)^2=(ab)^2+2ab*3c+(3c)^2
Hey there!
(ab + 3c)^2
= (ab + 3c)(ab + 3c)
DISTRIBUTE
= ab(ab) + ab(3c) + 3c(ab) + 3c(3c)
= a^2 b^2 + 3abc + 3abc + 9c^2
COMBINE the LIKE TERMS
= a^2 b^2 + 6abc + 9c^2
Therefore, your answer is:
a^2 b^2 + 6abc + 9c^2
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
Two consecutive whole numbers is 57. What are the two numbers?(hint: Let n represent the first number. Then n + 1 is the next consecutive whole number.
28+29 = 57
=======================================================
Explanation:
n = first number
n+1 = second number
Add up those two items and set the result equal to 57. Solve for n.
first+second = 57
(n) + (n+1) = 57
2n+1 = 57
2n = 57-1
2n = 56
n = 56/2
n = 28
n+1 = 28+1 = 29
The two consecutive whole numbers are 28 and 29
28+29 = 57
Answer:
28 and 29
Step-by-step explanation:
Given values:
1st number = n
2nd number = n+1
n + n + 1 = 57
2n + 1 = 57
2n = 56
n = 28
n+1 = 29
Answer: 28 and 29
What is the equation of the line that passes
through the points (8,7) and (-1, -9)?
Answer:
y = 16/9x - 7 2/9
Step-by-step explanation:
lmk if you want an explanation
Please help me first person will get brainliest!!
Answer:
6w-60x+6
Step-by-step explanation:
6(w-10x+1)
6w+6(-10)+6*1
6w-60x+6
Answer: 6(w-10x+1)
6w+6(-10)+6*1
6w-60x+6
Step-by-step explanation: hope it helps you .Thanks .
Solve for y. -6y-31= 5 and thank you
[tex]-6y -31 =5\\\\\implies -6y = 5+31 = 36\\\\\implies y = -\dfrac{36}6 = -6[/tex]
Step-by-step explanation:
...........y=-6.........
solve the equation on the interval [0,2pi)
can someone please explain and help me with this problem
I NEED HELP PLEASE AND THANK YOU (asap)
Which relation represents a linear function?
A) (5,6), (3,8), (1,10), (-1, 12)
B) (-3,1), -1,4), (1,9), (3,16)
C) (-2,0), (0,1), (2,3), (4,6)
D) (7,-1), (4,-3), (1,-6), (-2,-9)
a. How do you identify the boundary line?
Answer:
Find your property line by visiting your local county recorder or assessor's office. You can access public maps of your street and locate your boundaries. Many counties also let you access property lines online. If your property is on platted land, you may be able to access the plat maps online.
Step-by-step explanation:
which expression shows the correct way of solve for the length of GH
x/5 - 74 = 26
what is x
Step-by-step explanation:
x/5 - 74 = 26
x/5 = 26 + 74
x/5 = 100
x = 100 x 5
x = 500
Kim is playing an online trivia game. she has 25 points and earns 1 point for each correct answer .she will advance to the next round if her score is over 34 points
Answer: 10 points
Step-by-step explanation:
She must get 10 answers right to get into the next round, if it need to be over 34
25+10=35
Can i have brainliest
Answer:
1x + 25 > 34
Step-by-step explanation:
test says its right
Which is the better buy? Explain.
Cereal
Price
$4.32
12-ounce box
16-ounce box
$5.44
14x-21y
factorise this equation
Answer:
7(2x - 3y)
Step-by-step explanation:
Take out what they both have, put it on the outside.
Put the rest on the inside.
Answer:
7 (2 x - 3y)
Step-by-step explanation:
please helppp !
whats the measure of angle 1
Answer:
1 = 70
Step-by-step explanation:
The triangle is an isosceles.
Subtract the angle 40 from 180 (all angles in a triangle add up to 180
The bottom two angles are the same, so dividing the number given by 180 - 40 by 2
180 - 40 = 140
140 / 2 = 70
In ∆, AB = AC and ∠A = 1000
, then ∠B is
a) 200
b) 400
c) 800
d) 600
Answer:
D is the answer
brainlilest me
The points (2, 1) and (0, –11) fall on a particular line. What is its equation in slope-intercept form?
Solve the system using elimination 2x+3y=18 5x-y=11
Answer:
7x-4y=29
Step-by-step explanation:
the answer should be that's it
Find the equation of the tangent to the circle, whose equation is given below, at the point (-4,2).
(x+2)^2+(y−3)^2=5
The equation of the tangent is y = –2x – 6
The step by step process is in the pic attached.
The top part was cropped out, it says the centre point is (–2,3)
A bag of mixed nuts contains almonds and hazelnuts. There are
(6x + 13) nuts in this particular bag, and (3x - 7) of these are hazelnuts
Which expression represents the number of almonds in the bag?
Answer:
3x+20
Step-by-step explanation:
total nuts: 6x+13
hazelnuts: 3x-7
almonds expression:
6x+13-(3x-7)
=6x+13-3x+7
=3x+20
Which of the following represents the zeros of f(x) = 6x3 − 31x2 + 4x + 5?
If any doubt leave a comment
Write 32 as a product of primes. Use index notation when giving your answer.
Answer:
[tex]2^{5}[/tex]
Step-by-step explanation:
32 ÷ 2 = 16
16 ÷ 2 = 8
8 ÷ 2 = 4
4 ÷ 2 = 2
2 ÷ 2 = 1
Then
32 = 2 × 2 × 2 × 2 × 2 = [tex]2^{5}[/tex]
What is the initial value of the exponential function shown on the graph?
A : 0
B : 1
C : 2
D : 4
ANYBODY HELP. EXPERTS HELP!!!!!!!!!!
Answer:
Question 1 Between 3 - 4 hrs
Question 2 Between 1 - 3 hrs
Question 3 Between 4 - 8 hrs
Question 4 Between 2 - 3 hrs
Question 5 Represents the starting position
Step-by-step explanation:
What is the equation of the line that passes through the point(-6,-5) and has a slope of -1/2
Answer:
y=-1/2x-8
Step-by-step explanation:
y-y1=m(x-x1)
y-(-5)=-1/2(x-(-6))
y+5=-1/2(x+6)
y=-1/2x-6/2-5
y=-1/2x-3-5
y=-1/2x-8
It costs Chevy $20,000,000 to develop and market a new model of a car. The company sells each car for $25,000, How many cars
must Chevy sell to make more than
$5,000,000 in profits?
Answer:
I believe it to be 1000 cars. Please look at solution to check if I did it the way your problem wants you to do it.
Step-by-step explanation:
Since Chevy needs to make 5,000,000 in profits, earns 25,000 per car, and had invested 20,000,000, we can set an equation with x being the number of cars:
5,000,000 = 25,000x -20,000,000
Notice how 20,000,000 is negative. This is because chevy starts with a negative amount of money (as they just spent it) and are wanting to earn it back. Anyway, lets solve this.
25,000,000=25,000x
x=1,000
we can see that chevy needs to sell more than 1000 cars to make a profit, however I'm unsure of the 25,000 part. This answer is assuming that they make 25,000 profit for each car.
what is an equation in slope-intercept form for the line (-5, 2) and (5,-3)?
Answer:
y = [tex]-\frac{1}{2} x[/tex] [tex]-\frac{1}{2}[/tex]
Step-by-step explanation:
solved using point-slope form
points given: (-5, 2) and (5, -3)
slope: [tex]\frac{-3-2}{5-(-5)} =\frac{-5}{10} =-\frac{1}{2}[/tex]
y = [tex]-\frac{1}{2}[/tex] x + b
insert x- and y- values of (-5, 2) and solve for b
2 = [tex]-\frac{1}{2}[/tex] (-5) + b
2 = 2.5 + b
subtract 2.5 from both sides
2 - 2.5 = 2.5 + b - 2.5
-0.5 = b
insert b- value
y = [tex]-\frac{1}{2} x[/tex] [tex]-\frac{1}{2}[/tex]
Simplify this expression.
2V5(13 +V2)
Answer:
26V^5+2V^7
Step-by-step explanation:
The height of a tennis ball tossed into the air is modeled by h(x) = 40x â€" 16x 2, where x is elapsed time in seconds. During what time interval will the tennis ball be at least 15 feet above the ground? x > 0. 5 seconds and x > 2. 04 seconds x > 0. 5 seconds and x ≤ 2. 04 seconds x ≥ 0. 5 seconds and x > 2. 04 seconds x ≥ 0. 5 seconds and x ≤ 2. 04 seconds.
The time interval x >0.5 and x > 2.04 will the tennis ball be at least 15 feet above the ground.
Given that,
The height of a tennis ball tossed into the air is modeled by,
[tex]\rm h(x) = 40x - 16x^2[/tex]
Where x is elapsed time in seconds.
We have to determine,
During what time interval will the tennis ball be at least 15 feet above the ground?
According to the question,
The height of a tennis ball tossed into the air is modeled by,
[tex]\rm h(x) = 40x - 16x^2[/tex]
Where x is elapsed time in seconds.
Then,
When the tennis ball be at least 15 feet above the ground,
[tex]h(x) = 15[/tex]
Substitute the value of h(x) in the equation,
[tex]\rm h(x) = 40x - 16x^2\\\\ 15 = 40x - 16x^2\\\\ 16x^2-40x+15=0[/tex]
Factorize the equation for finding the time interval will the tennis ball be at least 15 feet above the ground is,
[tex]\rm 16x^2-40x+15= 0\\\\x = \dfrac{-b\pm \sqrt{b^2-4ac}}{2a}\\\\x = \dfrac{-(-40)\pm \sqrt{(-40)^2-4 \times 16 \times 15}}{2 \times 16}\\\\x = \dfrac{-(-40)\pm \sqrt{1600- 960}}{32}\\\\x = \dfrac{40\pm \sqrt{640}}{32}\\\\x = \dfrac{40 + 25.29}{32} \\\\x = \dfrac{40 + 25.29}{32} \ and \ x = \dfrac{40 - 25.29}{32}\\\\x = \dfrac{65.29}{32} \ and \ x = \dfrac{14.71}{32}\\\\x = 2.04 \ and \ x = 0.45[/tex]
Hence, The time interval x >0.5 and x > 2.04 will the tennis ball be at least 15 feet above the ground.
For more details about Inequality refer to the link given below.
https://brainly.com/question/17177510
Definition of Variable and Constant with examples!
Spam free answers required!
Answer:
[tex]\large\boxed{\boxed{\boxed{\mathfrak{variable}}}}[/tex]
Variable is a symbol that represents a quantity in a mathematical expression, as used in many sciences. Variable (research), a logical set of attributes. Variable star, a type of astronomical star.
[tex]\large\boxed{\boxed{\boxed{\mathfrak{constant}}}}[/tex]
A constant, sometimes also called a "mathematical constant," is any well-defined real number which is significantly interesting in some way. A function, equation, etc., is said to "be constant" (or be a constant function) if it always assumes the same value independent of how its parameters are varied.
Two sides of a rhombus are represented by (3X-6)cm and (x+14)cm. Find the length of each side in the rhombus
Answer:
24 cm
Step-by-step explanation:
in rhombuses, the rule is that all sides are the same length which means 3x - 6 = x + 14. then, you just have to solve this:
3x - 6 = x + 14
subtract x from both sides
2x - 6 = 14
add 6 to both sides
2x = 20
divide both sides by 2
x = 10.
to find the length of each side, plug this back into the original side length expressions:
3x - 6 becomes 3 * 10 - 6 = 30 - 6= 24 cm
the length is 24 cm.
round to the nearest percent. from 64 photos to 21 photos
Answer: 71 percent
Step-by-step explanation:
64-21=43
43/64=.71