The number 16 must be added to the equation for making it a perfect square.
We must have the idea of algebraic identities to solve this problem. The identity of the sum of square of two variables is given below.
We know that [tex](a+b)^{2}= a^{2} +2ab+b^{2}[/tex].
So make a perfect square the equation must be of the form of [tex]a^{2} +2ab+b^{2}[/tex]
Given, [tex]x^{2} +8x=4[/tex]
⇒ [tex]x^{2} +2*4*x+ 4^{2}=4+4^{2}[/tex]
⇒ [tex](x+4)^{2}=20[/tex]
So, to complete the square we have added 16 to both the sides of the equation and now it is in the form of [tex](a+b)^{2}[/tex].
The required number to be added is 16.
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HHHHHEEEELLLPPP!!!! PLLEAASE
If two lines are cut by a transversal and the consecutive interior angle are supplementary, then the lines are parallel.
What are Interior Angles?The angle between adjacent sides of a rectilinear figure.
The Line EF is transversal through AB and CD.
By converse of consecutive interior angles:
If two lines are cut by a transversal and the consecutive interior angle are supplementary, then the lines are parallel.
Statement Reason
∠EPB≅∠EQD Given
∠P=∠Q Supplementary angles
AB||CD Converse of consecutive interior angles
Therefore if ∠EPB≅∠EQD then AB||CD.
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Which of the following is NOT an example of a plant adaptation towards success in their habitat.
Question 1 options:
A.Colored flowers attract pollinators to scatter their seeds.
B.Plants grow thorns to repel grazers to prevent damage.
C.Plants grow towards light as they compete fro resources.
D.Plants take in water for photosynthesis. Will give bnrainliest just help me plzz
Answer:
d. plants take in water for photosynthesis
Step-by-step explanation:
an adaptation would be a way the plant has adapted in response to a specific environment
all plants take in water for photosynthesis, so it's not an adaptation to a habitat since plants in all habitats do that
does anyone know the answers for 1-5?
HELP ME AGAIN PLEASE
Answer:
[tex]\frac{5}{21}[/tex]
Step-by-step explanation:
To add, you need a common denominator. Let's use 63. We need to write an equivalent fraction for [tex]\frac{1}{9}[/tex]
[tex]\frac{1}{9}[/tex] = [tex]\frac{x}{63}[/tex] What do we need to multiply 9 by to get 63? 7. So we multiply the top number 1 by 7 to get 7
[tex]\frac{7}{63}[/tex]
Now add the fractions together
[tex]\frac{7}{63}[/tex] + [tex]\frac{8}{63}[/tex] = [tex]\frac{15}{63}[/tex] Divide the top and bottom by 3
[tex]\frac{5}{21}[/tex]
Which equation has exactly 1 solution?
a
6-2x=4x
b
6x-2x=4x
c
4x=2(3x-x)
d
4x=2(2x-3)
Answer:
a
Step-by-step explanation:
6-2x=4x
-2x-4x= -6
-6x= -6/(-6)
x=1
the only one that has a number with out an x
Answer:
A and x=1
Step-by-step explanation:
Today, Nate has 100100100 bananas. He will eat 222 of them every day.
Answer:
what is your question
Step-by-step explanation:
Step-by-step explanation:
Your Question is not complete, please resend and recheck
2(1 - 5k) = 2k + 38
HURRY I NEED THIS ANSWER FAST
Answer:
hope this helps
Step-by-step explanation:
Please show work(15 points)
a map of Connecticut is drawn to a scale where 2 inches on the map represents 35 miles. if Greenwich and Stonington are 105 miles from each other how far apart do they appear on the map
Answer: 6 inches
Step-by-step explanation:
2 inches = 35 miles, so, 105 divided by 35 which is three, then 3 x 2 = 6
you're welcome
Adding 8 groups of (-4) is the same as dividing 8 and (-4)
Answer:
No
Step-by-step explanation:
Adding 8 groups of (-4) = -32
Dividing 8 and (-4) = -2
-2 doesn't equal -32
hope this helps, pls mark brainliest :D
Answer:
That statement is false
Step-by-step explanation:
16) The following scores were recorded on a Unit Exam:
76, 80, 80, 80, 80, 84, 84, 88, 92, 92, 92, 92, 92, 96, 96, 96, 100, 100, 100, 100
The student who scored an 88 fell in which quartile?
a) 1st quartile
b) 2nd quartile
c) 3rd quartile
d) 4th quartile
Answer:
Step-by-step explanation:
There are 20 scores.
The median is 92 and first quartile is at 82 and below.
So, 88 is in 2nd quartile.
-9/-3 plz help I’m really confused
Answer:
The answer is 3.
Step-by-step explanation:
Answer:
33
Step-by-step explanation:
Examine the work shown. Explain the error and find the correct result.
2(4 – 16) – (–30)
2(–12) – (–30)
24 – (–30)
54
Answer:
= 6
Step-by-step explanation:
in the third step, they did 2 x -12 and got 24. It should’ve been -24 since it was a positive times a negative. It shouldve been
-24 - (-30)
-24 + 30
= 6
Answer:
yo wassup
Step-by-step explanation:
The product of two numbers with different signs is negative, so 2(-12) = -24, not 24. Then -24 — (-30) = -24 + 30 = 6.
sample response on edge
see ya
Which definition represents positive numbers and negative numbers in terms of positive numbers?
Positive numbers are greater than zero. Negative numbers are less than or equal to zero.
B
Positive numbers are greater than or equal to zero. Negative numbers are less than zero.
С
Positive numbers are greater than zero. For every positive number, there is a negative number that is its opposite.
D
Positive numbers are greater than or equal to zero. For every positive number, there is a negative number that is its opposite.
Answer:
D: Positive numbers are greater than or equal to zero. For every positive number, there is a negative number that is its opposite.
Step-by-step explanation:
Find the value of y so that the distance between the points (4, y) and (10, 9) is
equal to 10.
Answer:
6
Step-by-step explanation:
A spinner has four sections: A, B, C, and D. as shown in the diagram below. Half of the
spinner is section A and the remaining half of the spinner is split evenly among the three
remaining sections,
B
A
D
A player has to pay US$3 to spin cach time. The prize for landing on each section is given
as follows
gae .
Section
A
B
D
Prize (USDS)
2
4
7
1
Determine whether the game is fair and justify your answer
Answer:
no
Step-by-step explanation:
no because the player is most likely to loose lose money considering that A has a 0.5 probability and its value is 2$ while the cost of playing is 3$ the biggest profit is 4$ if the player only plays once and it lands on C and the player takes 7$ while losing 3$ .
Find the slope of given equation
Answer:
i am not sure i think its either c or b
Step-by-step explanation:
Write and solve an equation for seven less than fou
times a number is 29.
is this right? plz answer only if you know!
Answer:
Yes, I learned that like 1 week ago :D
Step-by-step explanation:
Alladin's Amusement Park has a popular roller coaster ride. There are 2 trains. Each train has 7 cars. Each car holds 16 people. In one hour, each train makes 10 runs without no empty seats. How many people can ride the roller coaster in one hour?
Answer:
224
Step-by-step explanation:
Number of trains in the roller coaster = 2
Number cars in each train = 7
Total number of cars = Number of trains [tex]\times[/tex] Number of cars in each train = [tex]7\times 2[/tex] = 14
Number of people in each car = 16
Total number of people in 14 cars = Number of people in one car [tex]\times[/tex] Number of cars = 16 [tex]\times[/tex] 14 = 224
i.e.
Total number of people in the roller coaster in one run = 224
Number of runs made by each train in one hour = 10
Therefore, Total number of people that can ride the roller coaster in one hour can be found by multiplying the number of runs with total number of people in the roller coaster in one run.
224 [tex]\times[/tex] 10 = 2240
PLS HELP I AM STRUGGLING
The domain is Domain = {-2 <= x <= 0}, the range is Range = {0 <= y <= 2} and the relation is a function
How to determine the domain of the function?From the function, we have the following observations:
The endpoints of the curve are:(-2, 0) and (0, 2)The curve do not extend more than the endpoint.This means that the domain is
Domain = {-2 <= x <= 0}
How to determine the range of the function?From the function, we have the following observations:
The endpoints of the curve are:(-2, 0) and (0, 2)The curve do not extend more than the endpoint.This means that the range is
Range = {0 <= y <= 2}
How to determine if the relation is a function?From the curve, we can see that each x value has exactly one y value
This means that the relation is a function
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raise d to the 8th power, then divide 3 by the result
Answer:
d^8/3
Step-by-step explanation:
thats pretty much the answer
Please provide the answer and explain
Answer:
The answer is C. -2
Step-by-step explanation:
The formula for slope is referred to "rise over run". So in this case you rise 2 over one (2/1) That gives you 2. But since the line is going down is -2
How do you do this geometry
Answer:
y = 62
z = 35
Step-by-step explanation:
Basically, you know one of the angles, that is 62. And since y is the same angle as 62 that would also be 62. And since the straight line is 180, just subtract 180 - 62, and that equals 118. So, then I just tried to find numbers that when multiplied by 6, and then subtracted by 92, equal 118. Honestly, z was just a guessing game for me. But I do know that I got the right answer, i just didn't figure it out the right way lol.
Good luck!
Answer:
y = 118°
z = 35
Step-by-step explanation:
All 8 of the angles formed by these three lines are only two different measures. They are all either 62° or
(180°-62°) 118°.
Also, any two of the angles are either the same or they add up to 180°.
The angle marked y° and the 62° angle are called "consecutive" angles or "same-side interior angles. They add up to 180°
y + 62° = 180°
y = 118°
The angle marked y° and the angle marked (6z - 92)° are called "vertical angles" and they are equal.
6z - 92 = 118°
add 92.
6z = 210°
Divide by 6.
z = 35
1+5= what does this equal
Answer:
1+5=6
Step-by-step explanation:
Lori had $126.89 in her bank account. She deposited $21.49 into it and then wrote a check for her car repairs for $156.61. What was the ending balance in her account? (Answers are pinned below.)
Answer:
$-8.23
Step-by-step explanation:
126.89+21.49-156.61
-8.23
Hope this helps plz hit the crown ;D
let f(x)= 4x-6 and g(x)= 3x-2. find f(x)-g(x)
Answer:
x - 4
Step-by-step explanation:
f(x) - g(x) = (4x - 6) - (3x - 2)
distribute the minus sign
4x - 6 - 3x + 2
x - 4
PLEASE HELP!
At a local fair, the admission fees are $1.50 for children, $3 for college students, and $5 for adults.
On Saturday, 1500 tickets were sold and brought in $5500.
The number of college student tickets sold was 100 less than the number of children's tickets sold.
How many children's tickets were sold?
Answer:
Children's' Tickets Sold: 400
College Tickets Sold: 300
Adult Tickets Sold: 800
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightPre-Calculus
MatricesReduced Row Echelon Form (RREF)Step-by-step explanation:
Step 1: Define Variables
x = children tickets
y = college tickets
z = adult tickets
Step 2: Define Systems
Use the given information to set up the equations.
x + y + z = 1500
1.5x + 3y + 5z = 5500
y = x - 100
Step 3: Redefine Systems
x + y + z = 1500
1.5x + 3y + 5z = 5500
-x + y = -100
Step 4: Solve for x
Rewrite [Matrix]: [tex]\left[\begin{array}{ccc}1&1&1 | 1500\\1.5&3&5 | 5500\\-1&1&0 | -100\end{array}\right][/tex][Matrix] RREF: [tex]\left[\begin{array}{ccc}1&0&0 | 400\\0&1&0 | 300\\0&0&1 | 800\end{array}\right][/tex]Here we see that our x = 400, y = 300, and z = 800. Correspond this with our defined variables and we have our answer.
I WILL MARK AS BRAINLIEST PLEASE ANSWER FAST
Twice a number added to a smaller number is 5. The difference of 5 times the smaller number and the larger number is 3. Let x represent the smaller number and y represent the larger number. Which equations represent the situation?
2 y + x = 5. 5 x minus y = 3.
2 x + y = 5. 5 y minus x = 3.
2 y + x = 5. y minus 5 x = 3.
2 x + y = 5. x minus 5 y = 3.
Answer:
the answer is A
Step-by-step explanation:
i got the answer right
Esme wants to make a rectangular pen for her chickens. She has 140 feet of fencing available to use. She wants to put the pen against the side of her barn. In other words, one side of the pen does not need fencing. Determine the maximum possible area she can create.
Answer:
2450 square feet
Step-by-step explanation:
We can first draw a rectangle with one side labeled Esme's wall. Then on one of the sides perpendicular to the "wall", we can assign a variable "x" for its length. The opposite of that side must have the same length "x". The unlabeled side that is opposite to the wall must have a length of "140-2x" because only 140 feet of fencing is available.
The area of a rectangle is equal to its length times its width, so the area of Esme's pen must equal "x" times "140-2x". If we graph this on a graphing calculator, we get a concave-down parabola. Since the input (x-axis) of this graph is the length of "x" and the output (y-axis) is the area Esme's pen, the highest y-value (which is the y-value of the vertex) will be the highest area that she can create. The vertex of this graph is (35, 2450), so the maximum area is 2450 square feet.
The non-calculator method involves expanding the expression "x(140-2x)" and finding the vertex through converting the expression to vertex form. (but... I'm too lazy to write out the vertex form for this expression so sorry no work here)
Order the numbers from least to greatest.
|-3|, 4, |-7|, -4, 0
Answer:
-4, 0, |-3|, 4, |-7|
Answer:
0,-3,4,-7,-4
Step-by-step explanation:
because the absolute value signs always come out postive