Answers
Answer:
Option B
Step-by-step explanation:
Given expression is,
(x² - 18x + 180)
Which is in the form of (ax² + bx + c)
To factorize the given expression, we will split b in two parts [tex]b_1[/tex] and [tex]b_2[/tex] so that,
[tex]b=b_1+b_2[/tex]
And [tex]c=b_1\times b_2[/tex]
If b = 18,
[tex]b_1=10[/tex] and [tex]b_2=8[/tex]
c = 10 × 8 = 80
Therefore, (x² - 18x + 180) = x² - 10x - 8x + 80
= x(x - 10) - 8(x - 10)
= (x - 8)(x - 10)
Option B is the correct option.
Related Questions
A ski slope is 320 yards long with a vertical drop of 100 yards. Find the
angle of elevation of the ski run. Round to the nearest degree.
Answers
Answer:
18°
Step-by-step explanation:
A ski slope is 320 yards long with a vertical drop of 100 yards. Find the
angle of elevation of the ski run. Round to the nearest degree.
The formula for angle of elevation is given as:
sin θ =Opposite/ Hypotenuse
Opposite = Vertical drop = 100 yards
Hypotenuse = Ski slope = 320 yards.
Angle of elevation =
sin θ = 100/320
sin θ = 0.3125
θ = arc sin(0.3125)
= 18.209956864°
Approximately = 18°
Frank is buying birthday candles for his grandmother's birthday cake. Her age, in years, will determine how many boxes of candles Frank will need to
buy. Which is the dependent quantity?
O b= how many boxes of candles Frank will buy
O a = Grandmother's age in years
Answers
Answer:
I believe A because the grandmothers age affects how many boxs of candles Frank will buy. Hope this helps
Step-by-step explanation:
could you help me with this question plz
Answers
Answer:
In last year's survey, 10 people asked for a playwriting class.
Step-by-step explanation:
It supports the statement 'a playwriting class would be well attended' because it provides the proof that at least 10 people wanted a playwriting class to be hosted - this data shows a playwriting class would indeed be popular.
Beyonce is solving a system of equations: 2x – 3y = -2
4x + y = 24
She decides to use the elimination method to find the solution. She multiplies the second equation by 3 and adds it to the first equation to find 14x = 70, showing her that x = 5. Beyonce finds that y = 4.
Step 3: 4x + y = 24
4(5) + y = 24
20 + y = 24
-20 -20
y = 4
Step 1: 3(4x + y = 24) → 12x + 3y = 72
Step 2: 2x – 3y = -2
Solution: (5, 4)
+ 12x + 3y = 72
14x = 70
→ x = 5
Thinking about this process, Beyonce says out loud, “There are lots of ways I could go about solving this problem. I could do the method above or I could multiply the first equation by -2 and add the second.
Step 3: 4x + y = 24
4x + 4 = 24
-4 -4
4x = 20
x = 5
Step 1: -2(2x – 3y = -2) → -4x + 6y = 4
Solution: (5, 4)
Step 2: -4x + 6y = 4
+ 4x + y = 24
7y= 28
→ y = 4
“I seem to find that there is only one solution to the two equations, but I wonder if I will get the same solution if I use a different method?”
If Beyonce uses a different method, would she get the same solution? Be sure to show work or explain your reasoning.
Answers
Answer:
Step-by-step explanation:
If we all draw a triangle using the same three side lengths, will we all draw exactly the same triangle?
Answers
I JUST WANT POINTS /\ /\
_
Janice used 1/3 yard of ribbon to tie a package and 1/6 yard of ribbon to tie a bow. How many yards of ribbon did Janice use? Is it 9/18? Which is 1/2? Sorry I really can't help her. I can help Sean with algebra no problem
Answers
Answer:
1/2 yard of ribbon
Step-by-step explanation:
Janice used 1/3 yard of ribbon to tie a package and 1/6 yard of ribbon to tie a bow. How many yards of ribbon did Janice use?
The number of yards that Janice used is calculated as:
1/3 yard + 1/6 yard
Lowest Common Denominator = 6
2 + 1/6
= 3/6
= 1/2 yard of ribbon
Janice used 1/2 yard of ribbon
PLEASE HELP
4 1/3 - 2 1/4
Answers
Answer:
4 1/3 - 2 1/4 = 25/12 or 2 1/12
Step-by-step explanation:
Wednesday: Solve for x (can't use decimals), must use the rules.
Start by: What are the missing angles of this triangle?
What in the picture hints on the answer above?
X =
16
Answers
Answer:
missing angle isosceles angle and side (a)
Pythagoras theorem
a²+a²=16²
a²=256/2
a=√128=11.3=11
Find mZA. The diagram is not to scale.
96°
118°
159
104°
Answers
Answer:
A=73
Step-by-step explanation:
sum of interior angles is (n-2)*180
5 sides, so (5-2)*180 = 3x180=540
sum of current interior angles (118+96+115+104)=433
subtract 540-433=107
This is NOT "A", this is your final interior measurement.
To get "A", take 180-107=73
A=73 degrees
Adam earn $25 per week for allowance plus an additional $10 per yard he mows around the neighborhood. Write an inequality to represent how many lawns Adam would have to mow in one week if he needs to earn more than $150 for a new bicycle. *Use y for the variable
Answers
10 is the variable in this case, he gets $10 per lawn.
25 is the constant because he gets a fixed value of $25 in a week.
Both of these values have to be greater than or equal to $150 if he wants enough for the new bike.
Write each polynomial in factored form.
h(x) = 3x^3 + 5x^2 +9x +15
Answers
Answer:
Step-by-step explanation:
[tex]3x^3+9x+5x^2+15\\ \\ 3x(x^2+3)+5(x^2+3)\\ \\ (3x+5)(x^2+3)[/tex]
What is an equation of the line that passes through the points (6,8) and (-3,2)?
Answers
Answer:
y=2/3x+4
Step-by-step explanation:
(6, 8) where x1 = 6 and y1 = 8
(-3, 2) where x2 = -3 and y2 = 2
Slope (m) = (y2-y1) / (x2-x1)
= (2-8) / (-3-6)
= -6 / -9
= 2/3
2. Use point-slope formula
y-y1=m(x-x1)
y-8=2/3(x-6)
y-8=2/3x -4
y = 2/3x + 4 :)
What is the equation of the line that passes through the point (6,14) and is parallel to the line with the following equation? y= -4/3x - 1
Answers
Answer:
Which of the following is the equation of a line parallel to the line given by ... Parallel lines have the same slope and different y-intercepts. ... Thus the only one that fits the description is:.
A projectile is thrown upward so that its distance above the ground after t seconds is h=-121t^2 +504t. After how many seconds does it reach it maximum height?
Answers
Answer:
2.08secs
Step-by-step explanation:
Given the equation modeled by the height as h=-121t^2 +504t
The velocity of the object at the max height is zero, hence;
v = dh/dt = 0
dh/dt = -2(121)t + 504
dh/dt = -242t + 504
0 = -242t + 504
242t = 504
t = 504/242
t = 2.08secs
Hence the projectile reaches its maximum height after 2.08secs
In equilateral triangles STU:
Answers
==========================================================
Explanation:
Equilateral triangles have three equal sides, ie the sides are all the same length.
Let's set sides ST and TU equal to each other and solve for x
7x-10 = 2x+25
7x-2x = 25+10
5x = 35
x = 35/5
x = 7
Then we use this to compute each side
ST = 7x-10 = 7*7-10 = 49-10 = 39TU = 2x+25 = 2*7+25 = 14+25 = 39US = x^2 - 10 = 7^2 - 10 = 49-10 = 39Each side is 39 units long, so this confirms we have the correct answer.
Last week, the price of apples at a grocery store was $1.60 per pound. This week, apples at the same grocery store are on sale at a 10% discount. What is the total price of 4 1/2 pounds of apples this week at the grocery store?
Answers
Answer:
6.48 dollars total,
Step-by-step explanation:
First, you would want to multiply the amount of money per pound, by the amount of pounds. 1.60 multiplied by 4 1/2 or 4.5, would equal to 7.2 dollars. In order to find 10% of 7.2, your would need to multiply 7.2 by 0.10, which would give you 0.72. Then you would subtract 7.2 by 0.72 to get 6.48. So your answer would be 6.48 dollars. Hoped this helped.
HELP QUICK!! WILL GIVE BRAINILIST
Find the value of x in the triangle shown below.
Answers
Answer:
58
Step-by-step explanation:
Since two of the sides are both 6.2, we know that this is an isosceles triangle. Thus, the two angles opposite of x are both equal (61 degrees).
The angles inside of a triangle always add up to 180, so now we have
180 = 61 + 61 + x
Solving for x, we get x = 180 - (61 + 61) = 180 - 122 = 58
Can someone plz help me the info is in the photo I'm begging you and I need the equation to show my work.
Answers
Answer:
$65.02
Step-by-step explanation:
15% of 85 = 12.75
sale price = 85-12.75 = 72.25
10% of 72.25 = 7.225 = 7.23
final cost = 72.25 - 7.23 = 65.02
The image shows two angle measures. Which equation can be used to find the
value of x?
2x - 15 = 45
2x - 15 = 135
2x - 15 + 135 = 90
2x - 15 + 131 = 360
Answers
Answer:
(2x-15) = 45
Step-by-step explanation:
When two angles lie on a straight line, they are supplementary
what this mean is that the add up to equal 180 degrees
Mathematically, we have this as:
(2x-15) + 135 = 180
(2x-15) = 180-135
(2x-15) = 45
Answer:
Step-by-step explanation:
(2x-15) = 45
Step-by-step explanation:
When two angles lie on a straight line, they are supplementary
what this mean is that the add up to equal 180 degrees
Mathematically, we have this as:
(2x-15) + 135 = 180
(2x-15) = 180-135
(2x-15) = 45
Please help me. what is 10x10+4
Answers
104
Step-by-step explanation:
EUJDJFKFKDEISHXHJRD
Answer:
104
10 × 10 = 100
100 + 4 = 104
Therefor, the answer is 104.
Item 3 The Hampton family used 17,158 kilowatts of electricity last year. They used about the same amount of electricity each week. About how many kilowatts of electricity did the Hampton family use each week? (There are 52 weeks in a year).
Answers
Which of the following equations, where t represents time in days, and represents length in centimeters,
could be descriptions of the growth of a bamboo plant?
Choose all answers that apply:
A
L=1.1t
B
L = 2.5t
C
L = 7.1t
D
L = 9.3t
Answers
C.L=3.6t
D.L=7.1t
E.L=9.3t
(I am really not sure of this)
What is the slope (-2,0) and (1,-4)
Answers
Answer:
-4/3
Step-by-step explanation:
y2-y1
--------
x2-x1
Explanation: you would first substitute in the values of x and y into the equation to find the slope, you then would simplify the numerator by multiplying -1 and -2 over 0-(-4) and subtract 2 from -1 and after this you would simplify the denominator by multiplying -1 by 4 and after you get your result you subtract 4 from 0 and you would then divide your 2 negative values results in a positive value which is m=3/4
Rita paid $82 for 5 trees and 1 shrub. Lilly bought 2 trees and 1 shrub for $37. Find the cost per tree and the cost per shrub.
Answers
Answer:
trees cost $15
Shrub cost $7
Step-by-step explanation:
Given data
Rita paid $82 for 5 trees and 1 shrub
5x+y= 82---------1
Lilly bought 2 trees and 1 shrub for $37
2x+y= 37----------2
from 1
y= 82-5x
put the value of y in 2
2x+82-5x= 37
2x-5x= 37-82
-3x=-45
x= 45/3
x=$15
put the value of x in 1
5(x)+y= 82
5*15+y=82
75+y=82
y=82-75
y=$7
Hence, trees cost $15
Shrub cost $7
Solve for p
PLEASE ANSWER FAST
Answers
Answer:
p = 43
Step-by-step explanation:
p + 7 + 3p + 1 = 180
4p + 8 = 180
4p = 172
p = 43
Answer:
yo, i answered this yesterday, but the answer button wasn't available omg
p =43
Step-by-step explanation:
Alex dumped out his piggy bank and there were only
nickels, dimes, and quarters.
There were three times as many dimes as nickels, and 40
more quarters than nickels.
If the total amount of money was $17.20, how many of each
type of coin were there?
"There are
nickels,
dimes, and
quarters.
Answers
Answer:
12 nickels
36 dimes
52 quarters
Step-by-step explanation:
Let x = no. of nickels
3x = no. of dimes
x + 40 = no. of quarters
5x = value of the nickels since each nickel is 5 cents
10(3x) = 30x = value of the dimes since each dime is 10 cents
25(x + 40) = 25x + 1000 = value of the quarters since each quarter is 25 cents
Now, 5x + 30x + 25x + 1000 = 1720 ($17.20 = 1720 cents)
60x + 1000 = 1720
60x = 720
x = 12 nickels
3x = 36 dimes
x + 40 = 52 quarters
Check: 12 nickels are worth $.60
36 dimes are worth $3.60
52 quarters are worth $13
.60 + 3.60 + 13 = 17.20
£330 is divided between Henry, Gavin & Jim so that Henry gets twice as much as Gavin, and Gavin gets three times as much as Jim. How much does Gavin get?
Answers
Answer: Gavin gets $99
Step-by-step explanation:
Step 1
LET amount gotten by Jim be =x
amount gotten by Gavin be = 3x
amount gotten by Henry be = 2 x 3x = 6x
Such that the total amount shared by the three of them can be expressed as
x+ 3x + 6x = 330
Step 2
x+ 3x + 6x = 330
10x= 330
x= 330/10
x = 33
Jim gets $33
Gavin gets 3x= 3x 33= $99
Henry gets 6x= 6x 33= $198
comple the similarity statement for 2 triangles shown
HELP ASAP
Answers
Please Help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!1111
Answers
x+12=38
Simplify the expression using the distributive property:
5 (2x – 3y + 4)
Answers
Apply the distributive property. 5 (2x) +5 (−3y) + 5 ⋅ 4
Multiply 2 by 5
10x + 5 ( − 3y ) + 5 ⋅ 4
Multiply −3 by 5 10x − 15y + 5 ⋅ 4
Multiply 5 by 4
Answer: 10x −15y + 20
Tip: The sign "⋅" means multiply