by completing the square
1. x2 + 5x + 6= 0
cing
Answers
Answer:
x=-3 and x=-2
Step-by-step explanation:
I wrote the math down
Related Questions
How are mountains and plateaus alike?
Answers
Answer:
It is similar to a mountain in that it is dramatically higher than what is immediately around it. But mountains usually have a distinct apex or peak that is very small relative to the base and not typically level. Plateaus and mesas have tops only a little smaller than the base, and relatively flat. If the aspect ratio is less than 1, plateau. If greater than 1, mesa.
Step-by-step explanation:
Pick < ,< or = to make the statement true. 11 ..... 52/9
Answers
Answer:
11>52/9
Step-by-step explanation:
52/9 = 5.7777....
11> 5.77777....
Sara is selling tickets to a high school festival. She sold 10 less senior tickets than junior tickets and she sold 3 times as many sophomore tickets as junior tickets (no freshman allowed). Senior tickets cost $3, junior tickets cost $5 and sophomore tickets cost $7. Sara raised $782. Write an equation to model the situation so that we can find the amount of tickets sold to seniors, juniors, and sophomores.
Answers
Answer:
[tex]29x-30=782[/tex] where x denotes number of junior tickets.
Step-by-step explanation:
Let x denotes number of junior tickets.
Sara sold 10 less senior tickets than junior tickets.
Number of senior tickets [tex]=x-10[/tex]
Sara sold 3 times as many sophomore tickets as junior tickets.
Number of sophomore tickets [tex]=3x[/tex]
Senior tickets cost $3, junior tickets cost $5 and sophomore tickets cost $7.
Total amount raised by Sara [tex]=5x+3(x-10)+7(3x)=5x+3x-30+21x=29x-30[/tex]
Sara raised $782.
So,
[tex]29x-30=782[/tex]
Hurry please! A 3-inch by 5-inch picture was proportionally enlarged as shown. What is the length of the unmeasured side?
Answers
Answer:
it's going to be 15.
Step-by-step explanation:
It is 15 because 3 was enlarged into 9, which means it was enlarged x3. Since the sides were porportionally enlarged, 5 should also be times 3. 5 times 3 equals 15.
7.RP.
A supermarket is having a sale on canned foods. The sale includes 10 cans to beans for
$12.50. What is the unit price per can of beans?
Answers
Answer:
1.25
Step-by-step explanation:
because you do 12.5 and divide by 10 and it equals 1.25
Please hellppskskdkkdf
Answers
If M = {Prime integers between 1 and 11} and N = { factors of 12}. Find:
The members of M
The members of N
M∪N;
M∩N.
Please show working
Answers
Step-by-step explanation:
members of "M" = 2,3,5,7,11
members of "N" = 1,2,3,4,6,12
M∪N = 1,2,3,4,5,6,7,11,12
M∩N = 2,3
intersection is the overlapping numbers in the sets
union is the set with all the numbers but they cannot be duplicates
The members of "M" [tex]=[/tex] [tex]2,3,5,7,11[/tex]
The members of "N" [tex]= 1,2,3,4,6,12[/tex]
M∪N [tex]= 1,2,3,4,5,6,7,11,12[/tex]
M∩N [tex]= 2,3[/tex]
What is Prime number ?
A prime number is a natural number greater than 1 that is not a product of two smaller natural numbers. A natural number greater than 1 that is not prime is called a composite number.
According to questions, M = {Prime integers between [tex]1[/tex] and [tex]11[/tex]}
and N = { factors of [tex]12[/tex]}.
We have to find the members of M, the members of N, M∪N and M∩N.
M = {Prime integers between [tex]1[/tex] and [tex]11[/tex]} [tex]=[/tex][tex]2,3,5,7,11[/tex]
N = { factors of [tex]12[/tex]} [tex]= 1,2,3,4,6,12[/tex]
So, M∪N [tex]= 1,2,3,4,5,6,7,11,12[/tex]
and M∩N [tex]= 2,3[/tex]
Hence, we can conclude that
The members of "M" [tex]=[/tex] [tex]2,3,5,7,11[/tex]
The members of "N" [tex]= 1,2,3,4,6,12[/tex]
M∪N [tex]= 1,2,3,4,5,6,7,11,12[/tex]
M∩N [tex]= 2,3[/tex]
Learn more about Prime number here:
https://brainly.com/question/25475296?referrer=searchResults
#SPJ2
3)
Find x and y
Helpppp please
Answers
Answer:
x = 20
y = 25
Step-by-step explanation:
Vertical angles are always congruent, that is a theorem.
Set the vertical pairs equal to each other.
182 - 4x = 5x + 2
The lowest of the two coefficients is 4x, so that will be added to both sides.
4x + 5x = 9x
Simplify
9x + 2 = 182
Subtract both sides by 2
9x = 180
Divide by 9
180/9 = 20
x = 20
Plug in the 20 to get the angle measure.
182 - 80 = 102
the vertical pairs are 102 degrees
There is another theorem that sets the two angles outside as congruent.
So set 4y + 2 = 102
Subtract 2
100
Divide 4, which equals 25
y = 25
1
2
3
A
5/6
1/8
9 0
11 12
13/14
15
16
In the figure, plly and "||s. Match each pair of congruent angles with the reason for their congruency.
corresponding angles for
parallel lines p and q cut by
the transversalr
corresponding angles for
parallel lines r and s cut by
the transversal a
Vertical Angles Theorem
Linear Pair Theorem
25 213
2125
210 214
213 = 216
corresponding angles for
parallel lines p and q cut by
the transversal s
Answers
Answer:
what grade is this jeez
Step-by-step explanation:
idk
Answer please :D.....
Answers
Answer
50/1 6/7
Step-by-step explanation:
g(x)=8x+2
g( ) = -62
Answers
Answer:
-8
Step-by-step explanation:
A car is traveling at a constant speed. It travels 31/2 miles in 51/4 minutes. How many minutes will it take the car to travel 70 miles?
Answers
I need to knoww tooooooo
Answer:105
Step-by-step explanation:
The figure shown represents a triangular window design. If IKL = JOP, which of
the following statements must be true?
A) IL= JP
B) IL = OJ
OC) IKL =OPJ
D) PNM =OJP
Answers
The correct statement regarding the similar triangles is given as follows:
C. Segments IL and JP are congruent.
What are similar triangles?Similar triangles are triangles that share these two features given as follows:
Congruent angle measures.Proportional side lengths.The similar triangles in this problem are given as follows:
IKL and JOP.
Hence the equal angle measures are given as follows:
<KIL = <OJP.<IKL = <JOP<ILK and <JPO;The congruent side lengths, as the scale factor is of 1, are given as follows:
IL and JP.LK and PO.KI and OJ.Meaning that the correct statement is given by statement C.
Missing InformationThe triangle is given by the image presented at the end of the answer.
More can be learned about similar triangles at brainly.com/question/14285697
#SPJ1
If (8^2)^p=8^4, what is the value of p?
A) 2
B) 3
C) 4
D) 6
Answers
Answer:
A. 2
Step-by-step explanation:
8^4 = 4096
(8^2)^2 = 4096
A line with a slope of -2 passes through the point (1, -17). What is its equation in
slope-intercept form?
Answers
answer: y = -2x - 15
The soccer field at a park is 9,000 square yards. The soccer field takes up 6 square
inches on the map of the park. How many square yards does 1 square inch on the
map represent? Show your work.
Answers
Given parameters:
Real area = 9000sq yards
Map area = 6sq yards
Unknown:
Scale of the map = ?
Solution:
A scale is the ratio of the map unit to the real world expression. Maps use scales to present the real world in a smaller sample space:
For this problem;
6sq yards on map = 9000sq yards on ground
1sq yards on map = xsq yards on ground
6x = 9000
x = [tex]\frac{9000}{6}[/tex] = 1500sq yards
So,
1sq yards on map is 1500sq yards on ground
Please help meeeeeeeeeee
Answers
Answer:
-3, 25, 53
Step-by-step explanation:
f(x) = 4x + 9
f(-3) = 4(-3) + 9
f(-3) = -12 + 9
f(-3) = -3
f(4) = 4(4) + 9
f(4) = 16 + 9
f(4) = 25
f(11) = 4(11) + 9
f(11) = 44 + 9
f(11) = 53
Answer:
-3, 25, 53.
Step-by-step explanation:
Which ordered pair would form a proportional relationship with the point graphed below?
Answers
Answer:
C
Step-by-step explanation:
It is C because it has a proportional value through the diameter of the graph. With that you will also be able to figure this out by seeing that the light in between the graph is even. The numbers that the graph a line with are similar to the answer C.
Flight 202’s arrival time is normally distributed with a mean arrival time of 4:30 p.m. and a standard deviation of 15 minutes. Find the probability that a randomly chosen arrival time is within the given time period.
6. After 4:45 p.m
7. between 4:15 p.m. and 5:00 p.m.
8. between 3:45 p.m. and 4:30 p.m
9. by 4:45 p.m
Answers
2(3d – 4) + 2 < 4 + 6d - 15
Answers
Answer: no solution
Step-by-step explanation:
Denise earns $30 an hour. She works 40 hours per week. Denise would like to purchase a computer that costs $2000. Create and solve an inequality in order to determine the least amount of hours she must work in order to be able to purchase the computer?
Answers
Answer:
67hours hoursStep-by-step explanation:
Given
she works $30 for 1 hour
in 40 hours she will earn 40*30= $1200
this means that a week she earns $1200
let the number of weeks she needs to work be x
40x*(30)<=2000
1200x<=2000
x<=2000/1200
x<=1.66
the number of hours in a week is 40
40*1.66=66.66
67hours
hence she must work for at least 67hours
In rhombus ABCD, diagonals AC and BD intersect at point E. If AE = 5cm and BE = 12 cm, what is the length of AC?
a-24 cm
b-17cm
c-7 cm
d-10 cm
Answers
Answer:
Length of AC is 10 cm
Step-by-step explanation:
Here , we are interested in calculating the length of the diagonal AC.
Please check attachment for the pictorial representation;
From the diagram, we can see that the length
AC = AE + EC
Also, the length AE = EC
So the value of AC = 5cm + 5cm = 10 cm
Segment addition, step by step on how u figure it out.
Answers
Answer:
Step-by-step explanation:
2x - 8 + x + 17 = 39
3x + 9 = 39
3x = 30
x = 10
2(10) - 8 = 20 - 8= 12 m for AB
10 + 17 = 27 m for BC
Jill earned $40 from a carpool plus $9 per hour (h) babysitting this week. Which of the following expressions best represents Jill's income for the week?
A 9 + 40h NEED HELP PLZ SOMEONE :(
B 9 + h + 40
C 9h + 40
D 9 + 40
Answers
Answer:
9h + 40
Step-by-step explanation:
Since Jill earns 9 dollars per hour, you multiply the amount of hours she works by the amount she makes per hour (9h), then you add 40 which is a set amount.
y = 9h + 40
In the following problem, which step uses the additive identity to get to the next step?
-18 + 73 + 18
-18 + 18 + 73
0 + 73
73
Answers
find three consecutive numbers such that three times the first number is equal to 9 more than the sum of the other two.
Answers
Answer:
12, 13, 14
Step-by-step explanation:
Three consecutive numbers means three numbers in a row, so if n is the first number, the second number is one more than n (which is n+1) and the third number is one more than that (which is n+2)
So three times (3 x) the first number (n) is equal to (=) nine more than (9 +) the sum of the other two ( (n+1) + (n+2) )
3 times n can be written as 3n
So 3n = 9 + (n+1) + (n+2)
3n = 9 + n + 1 + n + 2
3n = 9 + 1 + 2 + n + n
3n = 12 + 2n
Subtract 2n from each side
3n - 2n = 12 + 2n - 2n
1n = 12
n = 12
So the first number is 12, the second number is 12 + 1 (13) and the third number is 12 + 2 (14)
The numbers are 12, 13, 14
Hope this helps :)
The dimensions of a cuboid are in the ratio of 1:2:3 and its total surface area is
8 square meter
. Find
the dimensions.
Answers
Answer:
gfffdf
Step-by-step explanation:
Let the dimensions of the cuboid be a, 2x. 3x metres.
Now,
Surface area = 88m
2
2(2x
2
+6x
2
+3x
2
)=88
22x
2
=88
x
2
=4
x=2 m
Hence, the dimensions are 2 m,4 m,6 m.
Make x the subject of m=n + x/p URGENT!! Please
Answers
Step-by-step explanation:
[tex]m = n + \frac{x}{p} \\ \\ \frac{x}{p} + n = m \\ \\ \frac{x}{p }= m - n \\ \\ x = m(p) - n(p) \\ [/tex]
Answer:
p(m - n) = x
Step-by-step explanation:
You want to "solve for x." To do this, subtract n from both sides (for the purpose of isolating the x/p term):
m - n + x/p
Next, multiply all terms by p:
p(m - n) = x
Question 8
Identify the hypothesis and conclusion of each conditional statement.
If you take a class in television broadcasting, then you will film a sporting event.
Your answer:
H: If you take a class in television broadcasting, then you will film a sporting event.
C: true
H: If you take a class in television broadcasting, then you will film a sporting event.
C: false
H: you take a class in television broadcasting
C: you will film a sporting event
H: you will film a sporting event:
C: you take a class in television broadcasting
Clear answer
Back
Next
Answers
Answer:
third choice of those listed here
Step-by-step explanation:
Match the given statement to the pattern:
if H, then C.
__
If you take a class in television broadcasting, then you will film a sporting event
You should be able to see ...
H: you take a class in television broadcasting
C: you will film a sporting event
What is the first step to solving the division problem below?
_____
8|6288
O Divide 8 into 62 to get 7.
O Divide 8 into 62 to get 8.
O Multiply 8 by 7 to get 56.
O Multiply 8 by 8 to get 62.
Answers
Answer:
B
Step-by-step explanation:
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Answer:
B
Step-by-step explanation: