The sum of the expression (x - 2) and (x+6) is 2x + 8
How to find sum of an expression?The sum of numbers simply means to add up the numbers.
Therefore,
(x -2) + (x + 6)
Hence,
(x - 2) + (x + 6)
open the brackets
Therefore,
x - 2 + x + 6
combine like terms
x + x + 2 + 6
add or subtract the like terms
2x + 8
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Which of the following could be the center of a circle that includes the points (-5, 2) and (-3, 6)?
A. (0, 2)
B. (0, -2)
C. (2, 2)
D. (2, 1)
The center of a circle that includes the points (-5, 2) and (-3, 6) could be (a) (0,2)
How to determine the center of the circle?The points are given as:
(-5, 2) and (-3, 6)
The equation of a circle is represented as:
[tex](x -a)^2 + (y - b)^2 = r^2[/tex]
Where:
Points = (x,y)Center = (a,b)Radius = rSubstitute both points in the above equation
[tex](-5 + a)^2 + (2 - b)^2 = r^2[/tex]
[tex](- 3+ a)^2 + (6 - b)^2 = r^2[/tex]
The radii are equal.
So, we have:
[tex](-5 + a)^2 + (2 - b)^2 = (- 3+ a)^2 + (6 - b)^2[/tex]
Expand the equations
[tex]25 -10a + a^2 + 4 - 4b + b^2 = 9 - 6a + a^2 + 36 - 12b + b^2[/tex]
Evaluate the like terms
[tex]25 -10a + 4 - 4b = 9 - 6a + 36 - 12b[/tex]
Collect like terms
6a -10a - 4b + 12b = 9 + 36 - 25 - 4
Evaluate
-4a + 8b = 16
Divide through by - 4
a - 2b = -4
Next, we test the options:
Option (a) (a,b) = (0,2)
Substitute these values in the equation
0 - 2*2 = -4
Evaluate
-4 = -4
Both sides of the equation are the same
Hence, the center of a circle that includes the points (-5, 2) and (-3, 6) could be (a) (0,2)
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Given: 1 = 2
If AB = 10, AC = 6, and BC = 6, find AD:
The length of AD in triangle ABC in which ∠1 = ∠2 is 3.75.
What is Angle Bisector?The (interior) bisector of an angle, also called the internal angle bisector, is the line or line segment that divides the angle into two equal parts.
Here, Let the lenght of AD be x
AB = 10 , AC = 6 and BC = 6
by Angle-Bisector theorem which states that
if a ray bisects an angle of a triangle, then it divides the opposite side into segments that are proportional to the other two sides.
So, CD/BD =AC/AB
CD/(BC-CD) = 6/10
10. CD = 6.BC - 6.CD
16 CD = 6 X 6
16 CD = 36
CD = 36/16
CD = 2.25
Now, AD = AC - CD
AD = 6 - 2.25
AD = 3.75
Thus, the length of AD in triangle ABC in which ∠1 = ∠2 is 3.75.
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Each of the 7 cats Ik a pet store was weighed here are their eights in pounds
7,16,10,16,9,13,14 help me find the mean and median
Answer:
Below in bold.
Step-by-step explanation:
7,16,10,16,9,13,14
Arrange in ascending order:
7 9 10 13 14 16 16
The median = middle value
= 13 pounds.
Mean = (7+9+10+13+14+16+16)/7
= 12.14 pounds.
Which of the following graphs is not a function ?
Answer:
I believe it should be the first one
Step-by-step explanation:
in the first one if you put a line straight it would cross it twice making it not function.
Answer:
The first one is not a function.
Step-by-step explanation:
When you perform the vertical line test on the graphs, the first graph is the only one that passes through a X value multiply times.
Assuming Earth to be a sphere of radius 4000 miles, how many miles north of the Equator is City A, if it is 36° north from the Equator?
Answer:
2513 miles
Explanation:
[tex]\sf Length \ of \ arc = \dfrac{\theta}{360} * 2\pi r[/tex]
Here given:
∅ = 36°
radius = 4000 miles
Insert following:
[tex]\sf \rightarrow \dfrac{36}{360} * 2\pi (4000)[/tex]
[tex]\sf \rightarrow 800\pi \ \ \ (in \ terms \ of \ \pi )[/tex]
[tex]\sf \rightarrow 2513.3 \ \ (rounded \ to \ nearest \ tenth)[/tex]
[tex]\sf \rightarrow 2513 \ \ (rounded \ to \ nearest \ mile)[/tex]
5 points
11 cm
I literally dont know what to do
Which of the following functions matches this graph?
X
-54-3 -2 -1
1 2 3 4 5
a. y = x²
b. y = 3x²
M Ca
a
7 M
T?
U
d.
y
11
--x
10
Answer:
x plus y is 44 to the 99th power
Step-by-step explanation:
Kenosha is having a lunch with 4 of her friends at a fancy restaurant. The bill total is $175.50 if a 20% tip is added onto the total how much each person need to contribute
Answer:
$8.78
Step-by-step explanation:
first you need to find 20% of $175.50
which is 35.10
then you divide 35.10 by 4 leaving you with 8.78
please mark brainliest
How would you write 8^5 as a multiplication expression? A. 8 × 5 B. 8 × 8 × 8 × 8 × 8 C. 5 × 5 × 5 × 5 × 5 × 5 × 5 × 5
[tex]\huge\underline{\red{A}\blue{n}\pink{s}\purple{w}\orange{e}\green{r} -}[/tex]
if we ever face a number written in the form of [tex]\underline{x^{n}}[/tex]where x denotes the base and n denotes the exponent or power , we can expand it in the following way -
[tex] x^{n} = x \times x \times x \times.... x ( upto\: " n " \: times )[/tex]
therefore ,
[tex]8 {}^{5} = 8 \times 8 \times 8 \times 8 \times 8[/tex]
option ( B )
hope helpful -,-
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
[tex]\diamond\:\large\blue\textsf{\textbf{\underline{\underline{Question:-}}}}\:\diamond[/tex]
✶ How would you write [tex]\bold{8^5}[/tex] as a multiplication expression [tex]\textit{?}[/tex]
[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Answer and How to solve:-}}}}\diamond[/tex]
✶ The exponent indicates how many times a certain number was multiplied by itself.
✶ In this case we have [tex]\bold{8^5}[/tex], so 8 was multiplied by itself five times.
So we conclude that [tex]\bold{8^5}[/tex] written as a multiplication expression looks as follows:-
[tex]\bigcirc\!\!\!\!\checkmark[/tex] 8•8•8•8•8
Good luck.- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
13 of 15
L
Find the x-intercepts of the parabola with
vertex (-1,-17) and y-intercept (0,-13).
Write your answer in this form: (*1,91),(X2,42).
Answer:
(√30 - 1, 0)(-√30 - 1, 0)Step-by-step explanation:
Making the equation of the parabola :
⇒ y = a(x - h)² + k
⇒ y = (x + 1)² - 17 - 13
⇒ y = (x + 1)² - 30
x-intercepts have y = 0 :
0 = (x + 1)² - 30(x + 1)² = 30Taking the square root on each side :
√(x + 1)² = √30x + 1 = ±√30x = ±√30 - 1The x-intercepts are :
(√30 - 1, 0)(-√30 - 1, 0)
Calculate the diameter of the
circle.
- - -- - - - - - - - - - - - - - - - - - - - --
[tex]\diamond\large\blue\textsf{\textbf{\underline{Given question:-}}}[/tex]
[refer to attachment for question]
[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Answer and how to solve:-}}}}[/tex]
Remember, the radius is exactly one-half of the diameter, so if we need to find the diameter, we multiply the radius times 2:-
r=6.5m
d=13m
r=9.1 ft
d=18.2 ft
Good luck with your studies.- - - - - - - - - - - - - - - - - - - - - - - - - - - - - -- - -
If xy + 1/(xy) = 2 , then what does (x^2)(y^2) + 1/((x^2)(y^2)) = ?
Show all work.
Show any graphical support.
Explain what happened with both the math work and the graph(s).
Think about what happened.
Would it happen with more terms or the next function in the sequence?
Why or why not? Explain.
The value of the expression will be [tex](xy)^2+\dfrac{1}{(xy)^2}=2[/tex]
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division.
Given that:-
The value of the expression is [tex]xy+\dfrac{1}{xy}=2[/tex]
So we need to find [tex](xy)^2+\dfrac{1}{(xy)^2}=?[/tex]
The value of the expression will be calculated as:-
[tex]xy+\dfrac{1}{xy}=2[/tex]
Squaring the above equation.
[tex](xy)^2+\dfrac{1}{(xy^2)}+2\times (xy)^2\times \dfrac{1}{(xy^2)}=4[/tex]
[tex](xy)^2+\dfrac{1}{(xy^2)}=2[/tex]
Again squaring the above expression.
[tex](xy)^4+\dfrac{1}{(xy^4)}+2\times (xy)^4\times \dfrac{1}{(xy^4)}=4[/tex]
[tex](xy)^4+\dfrac{1}{(xy^4)}=2[/tex]
Hence the value of the expression will be [tex](xy)^2+\dfrac{1}{(xy)^2}=2[/tex]
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Select the correct answer.
What is the range of this absolute value function?
y
-10
-10.
-8
9
N-
N
A
-6
-8
-10
10
PLEASE HELP WILL MARK BRAINLIEST
17 Which numbers make the comparison true? 27,768 Select the two correct answers. A 27,759 8 28.744 26,773 27,568 E 27,836
Answer:
B and D
Step-by-step explanation:
hope it helps in some way possible
A healthy school lunch that is $0.75 more than the current lunch has a higher economic
The fact that the healthy school lunch has a higher price than the current lunch means that it has a higher economic cost.
What is an economic cost?An economic cost in this scenario, is the increased cost that comes with a commodity having greater perceived value.
A healthy school lunch will help a person stay healthy which is why it has more value than the current lunch. This is the reason for its higher price.
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Answer: cost
Step-by-step explanation:
Is (-3, 1) a solution to this system of inequalities?
5x + 5y ≤ -19
10x 16y < 1
yes or no
Answer:
No
Step-by-step explanation:
5(-3)= -15
5(1)= 5
-15+5=-10
-10 is greater than -19 not less than or equal too.
Hope this helps!
The table displays the scores of students on a recent exam. Find the mean of the
scores to the nearest 10th.
Score Number of Students
65
5
70
6
75
8
80
2
85
9
90
1
95
6
100
3
Answer:
43.75, or 43.8 to the nearest 10th
Step-by-step explanation:
The mean is the mathematical average of a set of two or more numbers. Summing the numbers in a set and dividing by the total number gives you the arithmetic mean.
The total of your numbers is 700.
There are 16 numbers.
700 divided by 16 is 43.75
a=2,b=1 and c=4.What is 3ac-a+2b
Step-by-step explanation:
a = 2
b = 1
c = 4
Question:[tex]3ac - a + 2b[/tex]
= Solution ,
= 3 × 2 × 4 - 2 + 2 × 1
= 24 - 2 + 2
= 24 + 2 - 2
= 26 - 2
= 24
hence the answer is 24....
Whats the difference between 16x + 5 and 4x + 5
e demand for a certain product is random. It has been estimated that the monthly demand of the product has a normal distribution with a mend of 390units. The unit price of product is ETB 25. Ordering cost is ETB 40 per order and inventory carrying cost is estimated to be 35 percent per year. Calculate economic order quantity (EOQ). 10. Given the data below, what is the simple linear regression
The economic order quantity of the product with the demand of 390 units is 1392.86 units.
What is an economic order quantity?This refers to an inventory management technique that helps make efficient inventory management decisions.
The formula for economic order quantity is [tex]\sqrt{2 * D * S / H}[/tex]
Given data
Demand = 390 units.
Unit price of product is ETB 25.
Ordering cost is ETB 40 per order
inventory carrying cost is estimated to be 35 percent per yer
EOQ = [tex]\sqrt{2*390*25/40*0.35}}[/tex]
EOQ = 19,500 / 14
EOQ = 1392.85714286
EOQ = 1392.86 units
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The number of students who signed a petition for more after-school sports is 195, or 30% of the students at school. Terry's calculations show that there are 58.5 students, but he knows that number is incorrect. What is the correct enrollment? What was Terry's error?
Question content area bottom
Part 1
The correct enrollment is
enter your response here student(s). Terry found
▼
the percent of 195 that 30 is
30% of 195
what 195 is 30% of
instead of finding
▼
Answer:
650
Step-by-step explanation:
195
_. of 30
100
and these 30 zero cut and 100 zero also cut and 3 * 195= 65 and 65 x 10 =650
pls help with this problem
Answer:
D
Step-by-step explanation:
The median is 8, so it is less than 9.
Answer:
Option D is not true
Step-by-step explanation:
The mode is the highest occuring number.From the data.
The mode is 9 and is greater than 7.This mean option A is correct.
The range is the difference between the highest number and the lowest which is 15-4 =11.Hence option C is correct because the range is more than 10.
The median when the data is arranged in either ascending or descending order i.e (15,12,11,9,9,7,5,4).Hence,the middle numbers are 9 and 9.To get the median,we get the average of the numbers which will be 9+9=18 ÷2= 9. The median is 9 which means option D is not correct.
The mean will be the addition of the numbers divided by the number of items
[tex] \frac{9 + 15 + 5 + 7 + 9 + 12 + 11 + 4}{8} [/tex]
[tex] = \frac{72}{8} [/tex]
[tex] = 9[/tex]
The mean is equal to 9 which means Option B is correct.
This implies that the only option which is incorrect is option D
which inequality is represented by this graph?
Answer:
the answer is A for the shaded region
Find the area.
14 in
6.8 in
Answer:
95.2Step-by-step explanation:
It nearly confused me, but I got the entire thing in my brain.
Given equation:
14 * 6.8Solve:
Transfer:6.8 ⇒ 68Solve:14 * 68= 952Transfer a decimal point to the right 1 space:952 → 95.2.Answer is 95.2.
The prime factorisation of √169 is?
Answer:
Square root of 169 by Prime factorization is 13×13
Answer:
13*13
Hope this helped!
Which of the following figures has a circumference that is closest to 121 inches?
A
a circle with a diameter of 38.5 inches
B
a circle with a diameter of 19.3 inches
C
a circle with a radius of 38.5 inches
D
a circle with a radius of 6.2 inches
Answer:
A.
Step-by-step explanation:
C = 2πr = πd
A. C = π(38.5 in.) = 120.95 in.
First guess: Answer: A.
If x-1/-3=y-2/2k=z-3/2 and x-1/3k=y-5/4=z-6/-5 are perpendicular, find the value of k
200(x-0.3)=600
-10(x-1.7)=-3
Answer:
x = 33.
x = 2.
Step-by-step explanation:
200(x-0.3)=600
200x - 60 = 600
200x - 60 + 60 = 600 + 60
200x = 660
x = 660/200
x = 3.3.
-10(x-1.7)=-3
-10x + 17 = -3
-10x + 17 - 17 = -3 - 17
-10x = -17 - 3 = -20
x = 2.
First try was incorrect
Ivy is making fasnacht (deep-fried German doughnuts) to sell the
Tuesday before Ash Wednesday, her bakery's biggest fasnacht day of
the calendar year. She has 6 pounds of butter and her recipe calls for
1
2
cup of butter per 1.5 dozen fasnacht. If 1 pound of butter is 2 cups,
then how many cups of butter will Ivy have left over after making 30
Answer:
3 cups of butter ivy will have left over