Answers
Answer:
3) Midpoint is (-4,0.5)
Option A is correct.
4) Midpoint is (2.5,0)
Option B is correct.
5) The factors are (x+4)(x-7)
Option C is correct.
6) The factors are (x+4)(x+2)
Option A is correct.
Step-by-step explanation:
Question 3
Find midpoint of the following:
(2,-7), (-10,8)
The formula used to find midpoint is: [tex]Midpoint=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2} )[/tex]
We have [tex]x_1=2, y_1=-7, x_2=-10,y_2=8[/tex]
Putting values and finding midpoint
[tex]Midpoint=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2} )\\Midpoint=(\frac{2-10}{2},\frac{-7+8}{2} )\\Midpoint=(\frac{-8}{2},\frac{1}{2} )\\Midpoint=(-4,0.5 )[/tex]
So, Midpoint is (-4,0.5)
Option A is correct.
Question 4
Find midpoint of the following:
(2,-10), (3,10)
The formula used to find midpoint is: [tex]Midpoint=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2} )[/tex]
We have [tex]x_1=2, y_1=-10, x_2=3,y_2=10[/tex]
Putting values and finding midpoint
[tex]Midpoint=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2} )\\Midpoint=(\frac{2+3}{2},\frac{-10+10}{2} )\\Midpoint=(\frac{5}{2},\frac{0}{2} )\\Midpoint=(2.5,0 )[/tex]
So, Midpoint is (2.5,0)
Option B is correct.
Question 5
Factor each completely
[tex]x^2-3x-28[/tex]
We will break the middle term and find factors
[tex]x^2-3x-28\\=x^2-7x+4x-28\\Taking\:common\\=x(x-7)+4(x-7)\\=(x+4)(x-7)[/tex]
So, the factors are (x+4)(x-7)
Option C is correct.
Question 6
Factor each completely
[tex]x^2+6x+8[/tex]
We will break the middle term and find factors
[tex]x^2+6x+8\\=x^2+4x+2x+8\\=x(x+4)+2(x+4)\\=(x+4)(x+2)[/tex]
So, the factors are (x+4)(x+2)
Option A is correct.
Related Questions
What is the answer? I need help quick!
Answers
Answer:
The answer is point C
Step-by-step explanation:
to make it easier to solve, think of it this way, point c and a are on the same "line",and point A is on the line under pi over 6. We know that pi over 12 is less than pi over 6, so that could potentially be the line that both points are on if that makes sense. We can also see that the real axis has the value of pi, and that point C is the value less than that. Also, point C is in the direction of where the negative "x values" would be
Answer:
B. is the right answer
Step-by-step explanation:
[tex]x = - 6 \\ y = \frac{\pi}{12} \\ ( - 6,\frac{\pi}{12} )[/tex]
When a certain radioactive element decays, the amount, in milligrams, that remains after t years can be approximated by the function A above. Approximately how many years would it take for an initial amount of 800 milligrams of this element to decay to 400 milligrams?
a. 173
b. 347
c. 693
d. 1,386
e. 2,772
Answers
Answer: C.693
Step-by-step explanation:
How many 1/3 1b. portions can you get out of a 6 2/3 bag of nuts?help me pls
Answers
Answer:
20
Step-by-step explanation:
Divide 6 2/3 by 1/3
Answer:
I think the answer would be 20
Carl reads 3 books every week. Rose reads 6 books a month. Lynn reads 85 books a year. Who reads the most books in a year?
Answers
Answer:
Carl
Step-by-step explanation:
There are 52 weeks in a year, and Carl reads 3 books a week, so he reads 3*52= 156 books a year. There are 12 months in a year, and Rose reads 6 books a month, so Rose reads 6*12=72 books a year. Carl reads the most books
solve for x please refer to image
Answers
Answer:
x = 40
Step-by-step explanation:
Sum of interior angle of an n-polygon = (n - 2)*180
The polygon given is pentagon with 5 sides.
Sum of the polygon = (5 - 2)*180 = 540°
Therefore, sum of all its interior angles would be:
5x + 150 + (3x - 30) + 70 + (2x - 50) = 540°
Solve for x
5x + 150 + 3x - 30 + 70 + 2x - 50 = 540
Collect like terms
5x + 3x + 2x + 150 - 30 + 70 - 59 = 540
10x + 140 = 540
10x = 540 - 140 (Subtraction property of equality)
10x = 400
x = 400/10 (division property of equality)
x = 40
Kyra opened a nail salon. For each manicure, Kyra charges $12. This week, Kyra has a goal of making a total of $200. Write an inequality that shows the minimum number of manicures that Kyra will need to give in order to meet her goal.
Answers
its first year of operation Big Lake Camp had 40 campers this year the tents was under 80% of the first year how many campers participated this year
Answers
72 campers
Step-by-step explanation:
you would have to multiply the percent to the amount of campers in Big Lake Camp in the first year:
40(1.8) = 72
On holidays three friends decided to buy a Christmas tree for $96. They made a cash contribution of 3: 5: 8. The two friends who invested less decided to return the third friend's money so that their cash contributions became the same. What is the ratio of the money returned by the first person to the money returned by the second person?
Answers
Answer:
7 : 1Step-by-step explanation:
Total money = $96Contribution ratio = 3 : 5 : 8Contribution by each:
3x + 5x + 8x = 9616x = 96x = 63x → $18, 5x → $30, 8x → $48Equal contribution is:
$96/3= $32Returned by first and second person:
$32 - $18 = $14$32 - $30 = $2Ratio of returned amount:
14 : 2 = 7 : 1Last month, a truck driver made
5 round-trips to Los Angeles and some round-trips to San Diego.
Write an expression that shows how many miles he drove in all.
Identify and describe the part of the expression that shows how
many miles he drove and trips he made to San Diego.
Answers
Example Answer:
You could represent a round trip to Los Angeles with the variable: x
You could represent the number of miles in a round trip to Los Angeles with the variable: a
You could represent a round trip to San Diego with the variable: y
You could represent the number of miles in a round trip to San Diego with the variable: b
your equation would be: xa + yb
Factoring in what we know, the example equation would be:
5a + yb
X=number of hours
Y=number of tents made
X=0,1,2,3,4,5,6,7,8
Y=6,7,8,9,10,11,12,13,14
What is the slope? What does it represent?
Answers
Answer:
[tex]Slope = 1[/tex]
It represents: The number of tents made in an hour
Step-by-step explanation:
Given
X=0,1,2,3,4,5,6,7,8
Y=6,7,8,9,10,11,12,13,14
Required
Determine the slope
The slope is calculated as:
[tex]Slope = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Pick any two corresponding values of x and y
[tex](x_1,y_1) = (0,6)[/tex]
[tex](x_1,y_1) = (8,14)[/tex]
[tex]Slope = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]Slope = \frac{14 - 6}{8 - 0}[/tex]
[tex]Slope = \frac{8}{8}[/tex]
[tex]Slope = 1[/tex]
It represents: The number of tents made in an hour
Kenny is ordering uniforms for both the girls' and boys' tennis clubs. He is ordering shirts for 43 players and two coaches at a total cost of $658.35. Additionally, he is ordering visors for each player at a total cost of $368.51. How much with each player pay for the shirt and visor?
Answers
Answer: 23.20 dollars
Cost for 1 shirt = $14.63
Cost for 1 visor = $8.57
Total = 14.63+8.57 = 23.20
==============================================================
Explanation:
s = cost of 1 shirt
v = cost of 1 visor
costs are in dollars
There are 43 players and 2 coaches that get a shirt. There are 43+2 = 45 people total that get a shirt. The amount of money spent on all the shirts is 45s because we multiply the number of people (45) with the cost per shirt (which is s). Set this equal to 658.35 and solve for s
45s = 658.35
s = 658.35/45
s = 14.63
Each shirt costs $14.63, and this is the amount each player should pay.
-------------------
Kenny is also ordering 43 visors. The total cost here is 368.51 dollars. This means the equation we need to solve is 43v = 368.51
Divide both sides by 43 to isolate v
43v = 368.51
v = 368.51/43
v = 8.57
Each visor costs $8.57, and this is the amount each player should pay.
-------------------
Add up the two costs we found and we get 14.63+8.57 = 23.20, which is the total cost each player must pay for both a shirt and a visor.
Triangular prism surface area
Answers
Answer:
what
Step-by-step explanation:
is 50 prime or composite? Explain
Answers
Answer:
composite
Step-by-step explanation:
Answer:
50 is composite
Step-by-step explanation:
it is even:)
Is 42,260 irrational or rational
Answers
Answer:
irrational
Step-by-step explanation:
Dana had 92€ until she spent 1 quarter. How much money does dana have now?
Answers
Answer:
67
Step-by-step explanation:
because a quarter is 25 cent and dana had 92 so all u have to do is take away 25 and you will get 67
What numerical coefficient of b on the right side of the equation makes the expressions equivalent? -3(-5b + 6) b-2
Answers
Answer:
-5
Step-by-step explanation:
coefficient of b is -5
solve the equation: the booster club of the baseball team bought pizza to sell at a concession stand. the school donated three pies to the sale. each pie was then cut into 8 pieces and sold . there were a total of 64 pieces to sell. how many pies did the booster club purchase
Answers
Answer:
Booster club purchased 5 pies.
Step-by-step explanation:
Let the number of pies purchased by booster club be represented by n. The school also donated 3 pies to sell.
So that,
Total number of pies = n + 3
Given that there was 64 pieces of pies to sell after cutting each pie into 8 pieces.
Thus,
8( n + 3) = 64
8n + 24 = 64
8n = 64 - 24
8n = 40
Divide both sides by 8 to have,
n = 5
The number of pies purchased by booster club is 5.
pls help asap no trolls!!
Answers
Need this now plz
The formula for the area of a rectangle is A = l ∙ w, where A = area, l = length and w = width.
The area of a rectangle with a length of 12 inches and width of 5 inches is _____ square inches.
For the open space
A 34
B 17
C 60
Answers
Answer:
c.60
Step-by-step explanation:
12 x 5 = 60
Answer:
now you can give them brainlest
List the six (6) trigonometric ratios for the angle 2(pi)/3 using the unit circle.
Answers
The six trigonometric ratios are [tex]\sin{\theta}\\[/tex], [tex]\cos{\theta}[/tex], [tex]\tan{\theta}\\[/tex], [tex]\csc{\theta}\\[/tex], [tex]\sec{\theta}\\[/tex], [tex]\cot{\theta}\\[/tex]
[tex]\sin{\frac{2\pi}{3}} = \sin{\frac{\pi}{3}} = \frac{\sqrt{3}}{2}\\\cos{\frac{2\pi}{3}} = \cos{\frac{\pi}{3}} = \frac{1}{2}\\\tan{\frac{2\pi}{3}} = \tan{\frac{\pi}{3}} = \frac{\sin{\frac{\pi}{3}}}{\cos{\frac{\pi}{3}}} = \frac{\frac{\sqrt{3}}{2}}{\frac{1}{2}} = \frac{2\sqrt{3}}{2} = \sqrt{3}\\\csc{\frac{2\pi}{3}} = \csc{\frac{\pi}{3}} = \frac{1}{\sin{\frac{\pi}{3}}} = \frac{1}{\frac{\sqrt{3}}{2}} = \frac{2}{\sqrt{3}}} = \frac{2\sqrt{3}}{3}\\[/tex]
[tex]\sec{\frac{2\pi}{3}} = \sec{\frac{\pi}{3}} = \frac{1}{\cos{\frac{\pi}{3}}} = \frac{1}{\frac{1}{2}} = \frac{2}{1} = 2\\\cot{\frac{2\pi}{3}} = \cot{\frac{\pi}{3}} = \frac{1}{\tan{\frac{\pi}{3}}} = \frac{1}{\sqrt{3}} = \frac{\sqrt{3}}{3}[/tex]
The table shows data collected from 14 people. Shoe Size, x 8.5 9 9 9.5 10 10 10.5 10.5 11 11 11 12 12 12.5 Height (inches), y 66 68.5 67.5 70 70 72 71.5 70 71 71.5 73 73.5 74 74 Determine the correlation coefficient for the data. Round to the nearest hundredth.
Answers
Answer:
0.9266
Step-by-step explanation:
Given the data:
Shoe size x :
8.5
9
9
9.5
10
10
10.5
10.5
11
11
11
12
12
12.5
Height y :
66
68.5
67.5
70
70
72
71.5
70
71
71.5
73
73.5
74
74
The correlation Coefficient obtained from the online Coefficient of regression calculator is 0.9266 which depicts a strong positive relationship between shoe size and height
The correlation coefficient for the data is 0.93 and this can be determined by using the formula of the correlation coefficient.
Given :
The table shows data collected from 14 people.
A statistical measure of the strength of the relative movement between two variables is known as the correlation coefficient.
The formula of the correlation coefficient is given by:
[tex]\rm r = \dfrac{\sum (x_i-\bar{x})(y_i-\bar{y})}{\sqrt{\sum(x_i-\bar{x})^2\sum(y_i-\bar{y})^2} }[/tex]
where r is the correlation coefficient, [tex]\bar{x}[/tex] is the mean of the values of the x variable, [tex]x_i[/tex] values of the x-variable in the sample space, [tex]y_i[/tex] values of the y-variable in a sample space, and [tex]\bar{y}[/tex] is the mean of the values of the y-variable.
Now, from the attached table substitute the values of the known terms in the above formula.
[tex]\rm r = \dfrac{35.4464286}{\sqrt{(19.23214289)\times (76.08928571)} }[/tex]
Simplify the above expression.
[tex]\rm r = \dfrac{35.4464286}{38.25388889} }[/tex]
r = 0.93
So, the correlation coefficient for the data is 0.93.
For more information, refer to the link given below:
https://brainly.com/question/17716064
Which expression is not equal to 28?
Answers
Answer: 1,107 divided by 41
Step-by-step explanation:
Which expression is NOT equal to 28? A. 1,288 ÷ 46 B. 1,820 ÷ 65 C. 1,456 ÷ 52 D. 1,107 ÷ 41
D is correct.
please help ASAP! Thank you!
Answers
If you borrow $758 for two years at an interest rate of 6% how much Interest will you pay?
Answers
Answer:
$90.96
Step-by-step explanation:
The coordinates of the vertices of a quadrilateral are J (2,1) W(2,-1) U(-2, 2). Quadrilateral JWUL is translated 5 units to the right and 3 units up to create quadrilateral J’W’U’L’
Which coordinates of the vertices of the quadrilateral J’W’U’L’
Answers
Answer:
J(7,4)
W(7,2)
U(3,1)
L(3,5)
An official for a regional baseball league examines attendance data for teams in the league. For each team in the league, the number of losses and the average game attendance is shown in the scatterplot. The value of r for the scatterplot is –0.847.
Which of these data combinations weakens the correlation?
2 losses, 11.9 thousand fans
2 losses, 15.2 thousand fans
5 losses, 10.3 thousand fans
9 losses, 7.7 thousand fans
Answers
Answer:
It’s B brotha
Step-by-step explanation:
In every right triangle there is exactly one ____.
Answers
Answer:
point
Step-by-step explanation:
Answer:
90 degree angle
Step-by-step explanation:
Complete the equation: 43 in =ft .
Answers
Answer:
3.58333 feet
Step-by-step explanation:
please help me asap
Answers
Answer: -18
Step-by-step explanation: if a=6 then the equation would be (6) - 24 which is -18
What percentage of the food cost is the tip?