Answer:
[tex]*+24x+9 = 16x^2 + 24x + 9[/tex]
Step-by-step explanation:
Given
[tex]* + 24x + 9[/tex]
Required
Fill in the gap
[tex]* + 24x + 9[/tex]
Express 24x as a sum of equal halves
[tex]* + 12x + 12x + 9[/tex]
Group into two
[tex](* + 12x) + (12x + 9)[/tex]
Factorize 12x + 9
[tex](* + 12x) + 3(4x + 3)[/tex]
Ignore the incomplete part and focus on (4x + 3)
Since the binomial is a square, then the factors of the binomial are :
(4x + 3) and (4x + 3)
So, we have:
[tex](* + 12x) + 3(4x + 3) = (4x + 3)(4x + 3)[/tex]
Expand
[tex](* + 12x) + 3(4x + 3) = 16x^2 + 12x + 12x + 9[/tex]
[tex](* + 12x) + 3(4x + 3) = 16x^2 + 24x + 9[/tex]
Hence:
[tex]*+24x+9 = 16x^2 + 24x + 9[/tex]
What value of x makes the equation 3(x – 6) = 8x – 3(3x + 7) true?
Answer:
I believe that x = -3/4 makes the equation true.
Step-by-step explanation:
3(-3/4 - 6)=8x - 3(3x + 7) is a true value equation.
I hoped this helped you answer your question.
Answer:
The answer is -3/4
Step-by-step explanation:
Feel free to give brainliest
Have an amazing day!
solveeeeweee: y=3*1^2
The vertices of an ellipse are (0,-1) and (8,-1). The endpoints of the minor axis are (4,1) and (4,-3). Write the equation of the ellipse in general form
Answer:
x^2+4y^2-8x+8y+4=0
Step-by-step explanation:
The general form of the given ellipse is x² +4y² - 8x + 8y + 4 = 0.
What is an ellipse?An ellipse can be defined as a shape that looks like an oval circle.
The equation of an ellipse is
[tex]\dfrac{\left(x - h\right)^{2}}{a^{2}} + \dfrac{\left(y - k\right)^{2}}{b^{2}} = 1[/tex]
Where (h, k) is the center a and b are the lengths of the semi-major and the semi-minor axes.
The vertices of an ellipse are (0,-1) and (8,-1).
The endpoints of the minor axis are (4,1) and (4,-3).
The following equations take into account the different properties of an ellipse:
[tex]k = -1k=−1, h^{2} = a^{2}h 2 =a 2 , \left(h - 8\right)^{2} = a^{2}[/tex]
[tex]\begin{cases} b = 2 \\ k = -1 \\ h^{2} = a^{2} \\ \left(h - 8\right)^{2} = a^{2} \end{cases}[/tex]
We get that h = 4 k = -1, a = 4, and b = 2
The standard form of the given ellipse is
[tex]\dfrac{\left(x - 4\right)^{2}}{4^{2}} + \dfrac{\left(y + 1\right)^{2}}{2^{2}} = 1[/tex]
So the general form will be as : x² +4y² - 8x + 8y + 4 = 0.
Thus, the general form of the given ellipse is x² +4y² - 8x + 8y + 4 = 0.
Learn more about ellipses here:
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The number of patients treated in a dental office each day was recorded for 8 days. Find the mean, median, and mode for this set of numbers.
5, 25, 25, 25, 11, 20, 25, 16
a.
mean: 25, median: 22.5, mode: 19
c.
mean: 19, median: 22.5, mode: 25
b.
mean: 19, median: 25, mode: 22.5
d.
mean: 22.5, median: 19, mode: 25
Answer:
I don't understand
Step-by-step explanation:
Solve for x given BD = 2x + 3 and AE = 6x + 4 . Assume B is the midpoint of overline AC and D is the midpoint of overline CE.
Answer: 1
From the second sentence, we have AB = BC = CD = DE = y. So AE = 4y and BD = 2y (you can see by drawing a diagram), and AE = 2BD. Substituting 2x + 3 for BD and 6x + 4 for AE in AE = 2BD, we have 6x + 4 = 2(2x + 3), 6x + 4 = 4x + 6. Solving, we see x = 1.
i hope this helped! :D
can someone help me please
Answer:
So since ypu already know this just think hard a dig deeper
Step-by-step explanation:
Answer:
rhombus
Step-by-step explanation:
solve by using the quadratic formula
x^2-4x=-2
Answer:
x=2+[tex]\sqrt[]{2}[/tex] or x= 2-[tex]\sqrt[]{2}\\[/tex]
Step-by-step explanation:
15-a=20 what is the vaule of a?
Answer:
15a=20
a=20/15
a=4/3
ok
Answer:
a=-5
Step-by-step explanation:
15-a=20
Solve for a.
15-20=a
-5=a
out of 300 students surveyed 17 have a dog predict how many of the 300 in school have a dog
Answer:
17/300.
Step-by-step explanation:
17/300 students have a dog.
Answer:
17
Step-by-step explanation:
use ur head. head ur use. done
can someone solve 8x + 38 = - 3 ( - 6 - 4x) STEP BY STEP PLEASE
Answer:
x = 5
Step-by-step explanation:
[tex]8x+38=-3(-6-4x)\\\\8x+38=18+12x\\\\8x+38-38=18-38+12x\\\\8x=12x-20\\\\8x-12x=12x-12x-20\\\\-4x=-20\\\\\frac{-4x=-20}{-4}\\\\\boxed{x=5}[/tex]
Hope this helps!
Please help me
Will mark as brilliant<3
Answer:
day on will be 5 day two will be 8 day 5 is 17 day 7 is 23
Step-by-step explanation:
Please help thank you so mich
Answer:
15w = s
Step-by-step explanation:
When you look at the graph, after one week, Michael has earned 15 dollars. So if you're trying to find the amount for w weeks, you would multiply 15 by w to get s, the amount of money in Michael's account.
Hope this helps!
Hedgehog68
A bag contains 10 red, 3 blue, and 2 yellow marbles. If 3 marbles are selected one at a time with replacement, find the probability that all three are different colors
Answer:
4/225
Step-by-step explanation:
To get 3 marbles that all three are different colors, we need to get a red, blue, and yellow marble (not necessarily in that order)
So we get the probability of getting each with replacement (meaning they are all out of 15) and multiply them.
The probability of getting a red is:
10/15 = 2/3
The probability of getting a blue is:
3/15 = 1/5
The probability of getting a yellow is:
2/15
So to get all 3 different colors:
2/3 * 1/5 * 2/15 = 4/225
Ok so if you help out I’ll give that brain thing but you have to put a correct answer thanks :)))
Answer:
135
Step-by-step explanation:
green = 10 blue and 15 yellow
10*9=90 and 15*9=135
Answer:
135 cups of yellow paint
Step-by-step explanation:
The sum of two numbers is 30. One number is 12 more than the other. Find these two numbers.
Answer:
21 and 9 are the numbers
Step-by-step explanation:
check by doing 21 minus 9, they also add into 30 together. if you haven't already figured it out.
which tree was the tallest when it was first planted
Answer:
Tree c
Step-by-step explanation:
its c lol
a is given (5)
b is given (3)
c says it on the graph at zero months
Coach Burns charted the change in his runners’ 5K times from the first race of the year to the second race of the year. Which student improved the most by decreasing the time needed to run the race? PLEASE HELP IM ON A EXAM!!!
Answer:
student a
Step-by-step explanation:
i just took the exam
please help?
Find measure of angle C
Answer:
82
Step-by-step explanation:
Im pretty sure the answer is 82 as it's a striaght line and all you have to do is subtract 180-98
What is the product?
7 × 0.4 =
Answer:
2.8
Hope this Helps!
x² = 5.
Solve equation helpppp
Answer:
x= -[tex]\sqrt{5}[/tex]
x= +[tex]\sqrt{5}[/tex]
Step-by-step explanation:
Answer:I didnt know what you were trying to ask
Step-by-step explanation:
Will give brainliest
What is the measure of angle P in the figure shown here?
Answer:
48
Step-by-step explanation:
66*2=132
180-132=48
A class has 7 boys and 10 girls. Select all associated ratios for this class
7:3
7:10
10:7
17:5
7:17
10:17
3.7
10:3
Answer:
10:17 (girls to total students)
7:17 (boys to total students)
10:7 (girls to boys)
7:10 (boys to girls)
Step-by-step explanation:
If the parents of your mom and dad are
your lolos and lolas of the first degree, and
the parents of your lolos and lolas are your
lolos and lolas of the second degree, and so
on, how many lolos and lolas do you have up
until the 6th degree?
is this a serious question?
Evaluate the given algebraic expression for x = 2 and y= 3.
-Зху
-6
-12
-18
-24
Answer:
-18
Step-by-step explanation:
-3xy,X=2 ,y=3
-3(2)(3)
-3(6)
=-18
Sergio and Allen ate lunch together in the school cafeteria. Each boy ordered a cheeseburger with fries. Sergio only ate 1/7 of his cheeseburger, while Allen ate 3/7 of his cheeseburger. How much cheeseburger did they eat together?
Answer:
4/7
Step-by-step explanation:
The word together symbolizes that we are adding.
We add the numerators but keep the denominator the same since it is already the same.
1+3 is 4, so that is our new numerator.
1 3 4
__ + __ = __
7 7 7
Hope this helps!
-AxekickNebulite
need help ASAP ,
-40 points
Answer:
A
Step-by-step explanation:
MK and KM are the same line segment
and JKM and LMK share two angles K and M as well as the side of MK or KM making it a Side.Angle.Side
1/2/2/3
Which question can be answered by this expression?
Answer:
1/2 / 2/3
(1*3) / (2*2)
3/4
Two-thirds of a half equals three-quarters
Answer:
no question
Step-by-step explanation:
it cant thats not an answet
12.
ΥΥΥΥΥ
help please
Answer:
لطفا دانش مغز بزرگ من تست من قاشق تخم مرغ لاک پشت راه من را از طریق شما
Step-by-step explanation:
Answer:
I believe th e andwer to that is y5
If Triangle ABC~trIangle DEC, find the value of x and y."
Answer:
The right answer would be (D) x = 1.
Step-by-step explanation:
So since triangles ABC and DEC are congruent to each other, your gonna try to find the value of x. So from the figure we know that AB = 4x - 1, BC = 4, AC = 5, DE = x+2, CE = 4 and EC = 5. And since ΔABC ≅ ΔDEC the corresponding sides would be equal. And after, we will have :
AB = DE
4x - 1 = x + 2
4x - x =2 + 1
3x = 3
x = 1
So, as it shows, the value of x is one. So (D) x = 1 is the right answer. Hope this helped! :)
Seven less than 4 times the square of a number is 18. Find the two numbers.
The two numbers of seven less than 4 times the square of a number is 18 are -5/2 and 5/2
Let the unknown number be "x"
The square of an unknown number is expressed as x²4 times the square of a number is 4x²Seven less than 4 times the square of a number is 4x² - 7If the resulting expression is 18, this will be expressed as 4x² - 7 = 18
Solving the resulting expression
[tex]4x^2-7=18\\4x^2= 18+7\\4x^2=25\\x^2=\frac{25}{4}\\x=\pm \frac{5}{2}[/tex]
Hence the two numbers of seven less than 4 times the square of a number is 18 are -5/2 and 5/2
Learn more here: https://brainly.com/question/13805464