Answer:
100
Step-by-step explanation:
20/2= 10 and 10 squared is 100 but you have to move the -6 to the opposite side
The number required to add to the equation x² + 20x - 6 is 106
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be A = x² + 20x - 6 = 0
Now , to make the equation as a perfect square,
The number to be added to the equation is 106
Adding 106 to the equation , we get
A = x² + 20x - 6 + 106
On simplifying the equation , we get
A = x² + 20x +100
Now , the equation can be factorized as
A = ( x + 10 )²
A = 0
( x + 10 )² = 0
x = -10
Hence , The number required to add to the equation x² + 20x - 6 is 106 to make it a perfect square
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Imagine the center of the Seattle Great Wheel is located at (0, 0) on a coordinate grid and the radius lies on the x-axis. Write an equation of a circle for the Seattle Great Wheel and then sketch an image of your equation on the graph provided or insert your own graph.
Center is 0,0 and diameter is 175
Answer:(x-0)^2 + (y-0)^2=30^2
Step-by-step explanation:
The equation of the circle is x^2 +y^2 = 7656.25
How to determine the equation of the circle?The given parameters are:
Center = (0,0)
Diameter = 175
The equation of a circle is represented as:
(x - a)^2 +(y - b)^2 = r^2
Where
Center = (a,b) = (0,0)
r = radius = 175/2
So, we have:
(x - 0)^2 +(y - 0)^2 = (175/2)^2
Evaluate
x^2 +y^2 = 7656.25
Hence, the equation of the circle is x^2 +y^2 = 7656.25
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A survey of 100 high school students provided this
frequency table on how students get to school:
Drive to Take the
Grade
Walk
School bus
Sophomore 2
25
3
Junior
13
20
2
25
5
5
Senior
What is the probability that a randomly selected student
is a junior who takes the bus?
?
P(Junior' n Take the bus)
Answer:
The answer is 1/5
Step-by-step explanation:
Trust me.
The probability that a randomly selected student is a junior who takes the bus is [tex]\frac{1}{5}[/tex] .
What is probability?Probability or chance is how likely something is to happen. If something has a low probability, it is unlikely to happen. If something has a high probability, it is likely to happen.
[tex]probability=\frac{number\ of\ favourable\ cases }{total\ number\ of cases}[/tex]
Given,
Total number of students = 100
Number of students who are juniors and take bus = 20
[tex]probability=\frac{number\ of\ favourable\ cases }{total\ number\ of cases}[/tex]
Probability of junior students who take bus = [tex]\frac{20}{100}[/tex]
Probability of junior students who take bus = [tex]\frac{1}{5}[/tex]
Hence, The probability that a randomly selected student is a junior who takes the bus is [tex]\frac{1}{5}[/tex] .
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HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
Answer:
[tex]D.\ (3,\frac{1}{8})[/tex]
Step-by-step explanation:
Given
[tex]y = (\frac{1}{2})^x[/tex]
Required
Points that lies on the above graph
From the given options, only option D lies on the point and the proof is as follows:
[tex]D.\ (3,\frac{1}{8})[/tex]
This means that:
[tex]x = 3;\ y = \frac{1}{8}[/tex]
Substitute [tex]x = 3;\ y = \frac{1}{8}[/tex] in [tex]y = (\frac{1}{2})^x[/tex]
[tex]\frac{1}{8} = (\frac{1}{2})^3[/tex]
[tex]\frac{1}{8} = \frac{1^3}{2^3}[/tex]
[tex]\frac{1}{8} = \frac{1}{8}[/tex]
See that the values at the right and left hand side of the equation are the same.
This means that, [tex]D.\ (3,\frac{1}{8})[/tex] lies on [tex]y = (\frac{1}{2})^x[/tex]
hi anyone? please help!!
Answer:
8x<80
Step-by-step explanation:
The teams are teams of 8, so 8x is how many people on a team (8) times total number of teams (x). You want it to be less than 80, because, as it said, fewer than 80 people signed up.
PLS HELP ASAP!!!
You and your family went out to dinner for your birthday. The cost of the meal was $75. You left and 18% tip, and the tax was 7.7%. What was the total cost of your dinner?
Answer:
$ 94.28
Step-by-step explanation:
75 x 1.18 = 88.50
75 x .077 = 5.78
88.50+5.78= 94.28
Couple of answers if that's ok.
Which of the following percentages is equal.
Wich of the following percentages is equal to 1/4.
Which of the following percentages is equal to 5/21? Round your answer to one decimal place.
PLS ANSWER
HELP FAST I'LL MARK YOU BRAINLIEST
Which below is not always true about a Rhombus?
1. All side are equal
2. Opposite sides are equal and congruent
3. Consecutive angles are supplementary
4. Diagonals are congruent
Answer:
4
Step-by-step explanation:
In a rhombus, the diagonals are congruent. It is not always true. If the diagonals become congruent then It becomes square. Hope this helps!
Answer:
4) Diagonals are congruent is NOT always true
Step-by-step explanation:
Diagonals are only congruent if it's square, so this one is not always true.
How could an Environmental Science and Protection Technician and an Environmental Engineering Technician be compared?
The careers are basically the same because both focus on protecting the environment.
Both focus on protecting the environment, but an Environmental Science and Protection Technician uses equipment to reduce the impact of issues while an Environmental Engineering Technician performs tests to identify issues.
Both focus on protecting the environment, but an Environmental Science and Protection Technician performs tests to identify issues while an Environmental Engineering Technician uses equipment to reduce the impact of issues.
The careers are different and belong to different career pathways within Manufacturing.
Answer:
the third one is correct. based on recent studies that i have read based on this topic. it should be right.
brainliest?
Step-by-step explanation:
3
Step-by-step explanation
edg
HELP ME PLEASE MUCH APPRECIATED!!
Answer:
the answer is A
Step-by-step explanation:
Faithi has $ 1.10 in his printing account. Each sheet of paper he use reduces his printing account balance by $0.25. Fathi wants to print out a pdf document that is 47 page long. To save paper, he decide to print on both side of each sheet and to print two pages on each side of the sheet
Answer:
-$1.9
Step-by-step explanation:
8r= -64
what does the 8r stand for?
Answer:
r=8
Step-by-step explanation:
The number we are looking for is represented by 'r' which is multiplied by 8
A line that includes the point (2,7) has a slope of
–
8. What is its equation in point-slope form?
Use the specified point in your equation. Write your answer using integers, proper fractions, and improper fractions. Simplify all fractions.
Answer:
y - 7 = -8(x-2)
Step-by-step explanation:
The point slope form is: y-y1=m(x-x1)
From the information that was given, we know our two points: (2,7)
From here, we can fill in some of the missing information: y-y1=m(x-x1) → y - 7 = m(x-2)
Now I can't tell if you wrote down -8 or just 8, but just in case my answer isn't the right number.
The answer would either be: y - 7 = -8(x-2) [if you wrote down -8 as the slope]
OR
The answer would be: y - 7 = 8(x-2) [if you wrote down 8 as the slope]
A meteorologist in Seattle says there is a 75% chance of rain. A meteorologist in Tacoma says there is a 1/4 chance of rain. In which city is it more likely to rain?
A. Seattle
B. Tacoma
C. Batesville
D. Both have the same chance
Find x.
A.2.14
B.10
C.22.8
D.35
A is your answer just multiply it by 14 then add it by 5 it looks as if all sides are equal.
if it has work to show, please include it. please help
Answer:
B) 256
Step-by-step explanation:
You are doubling the amount of boxes there are each time:
Pattern 1: 1 box
Pattern 2: 2 boxes
Pattern 3: 4 boxes
Pattern 4: 8 boxes
Pattern 5: 16 boxes
Pattern 6: 32 boxes
Pattern 7: 64 boxes.
Each box takes 4 matches to create. There are 64 boxes in total by the 7th pattern. Multiply 4 with 64:
64 x 4 = 256
B) 256 matches is your answer.
~
7th grade math help me pleaseee
Part A. n+6=15>>>n=9
Part B.n+6=15 >>> n+6-6=15-6
n=9
The average age of the seven apprentice magicians is 143 years. The average age of the seven apprentice magicians and the head wizard is 150 years. How old is the head wizard in years? Please need answer ASAP!!!!!!!!
Answer:
it would be 200 points. Lets assume that all of the apprentice magicians are 143 years old. If so, then 143 x 7 = 1001. 1001 + 200 = 1201. 1021 ÷ 8 (the number of magicians) the answer is 150. so the age of head wizard is actually 200 years.
A circle has a center of (5, 2) and a radius of 10. Which the fallowing points will the circle pass through ?
Answer:
centre of the circle(h,k)=(5,2)
radius(r)=10
Step-by-step explanation:
Now,
equation of the circle is giveb by (x-h)^2+(y-k)^2=r^2
or,(x-5)^2+(y-2)^2=(10)^2
or,x^2-10x+25+y^2-4y+4=100
or,x^2+y^2-10x-4y+29-100=0
or,x^2+y^2-10x-4y-71=0
what is the sum of the arithmetic sequence 8,15,22..., if there are 26 terms?
o 2,483
o 2,485
o 3,486
o 3,489
Answer:
2,483
Step-by-step explanation:
8+15+22+29+36+43+50+57+64+71+78+85+92+99+106+113+120+127+134+141+148+155+162+169+176+183=2483
Answer:2483
Step-by-step explanation:
took the test
What is the length of AD??
Answer:
d
Step-by-step explanation:
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please help me with the question
Solve the following quadratic equation for all values of x in simplest form.
5x(x^2-4)+10=10
first person to answer right get branliest
people in com.ments who right get a tha.nks and fo.llow
Answer:
[tex]x=0,\:x=-2,\:x=2[/tex]
Step-by-step explanation:
Do you want me to explain it?
We have to fill the chart but i already did that i just need help with the questions
(B) find the mean of the data set
(C) Find the median
(D) find the mode of trje data set
(E) find the range of the data set
jeremy bought 5 pencils for w dollars. each pen cost 35¢ more than a pencil
solve for x
1/4 x^3 = -27/4
do u still need the answer or no cuz its kinda long
An investor puts $4500 into a life insurance policy that pays 6% simple annual interest if no additional investment is made into the policy how much accumulated interest should the investor expect at the end of 15 years?
Answer:
270
Step-by-step explanation:
All you need to do is find what 6% of 4,500 is.
mallory and five of her friends bought a box of 36 cookies. together they ate 2/3 of the cookies
Answer:
24 cookies got eaten 12 weren't eaten
Step-by-step explanation:
36 divided by 3 = 12
12 x 2 = 24 ( since they ate 2/3)
36-24=12 (12 weren't eaten)
a recipe for bread uses 2 cups of liquid and 6 cups of flour for 3 loaves of bread. how many cups of flour are needed for 10 loaves and how much liquid is needed if 21 cups of flour are used?
10
Step-by-step explanation:
I just did this in a lesson
PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!
ALSO 50 POINTS!
Answer:
h = 12 m
[tex] v_{cylinder}= 235.5 \: {m}^{3} [/tex]
Step-by-step explanation:
Radius of cylinder (r) = 5/2 = 2.5 m
[tex] {h}^{2} = {13}^{2} - {5}^{2} \\ h = \sqrt{ {13}^{2} - {5}^{2} } \\ h = \sqrt{169 - 25} \\ h = \sqrt{144} \\ h = 12 \\ \\ v_{cylinder} = \pi {r}^{2} h \\ v_{cylinder}= 3.14(2.5) ^{2} (12) \\ v_{cylinder}= 235.5 \: {m}^{3} [/tex]
Literal Equations:
Solve the equation for the indicated variable.
a−c=d−r, for c
Group of answer choices
c=−d+r+a
c=d−r/a
−c=d−r−a
c=d−r+a
Answer:
−c=d−r−a
Step-by-step explanation:
if we move a value to the other side of the equal sign, the value switches positive and negative signs, in this case A moved to the right, which caused it to turn negative.