Answer:
1. x²-2x+15
This can't be factored, I've tried multiple ways now, but it just can't be factored.
2. y²-19y+90
Let's factor y^2−19y+90
y^2−19y+90
The middle number is -19 and the last number is 90.
Factoring means we want something like
(y+_)(y+_)
Which numbers go in the blanks?
We need two numbers that...
Add together to get -19
Multiply together to get 90
Can you think of the two numbers?
Try -9 and -10:
-9+-10 = -19
-9*-10 = 90
Fill in the blanks in
(y+_)(y+_)
with -9 and -10 to get...
(y-9)(y-10)
Answer:
(y−9) (y−10)
find x. A. 21√2 B. 7 C. 21√3 over 2 D. 21√2 over 2
Answer:
D
Step-by-step explanation:
for you to find x you first have to find the adjacent of the 45° angle you can do that by using the other triangle.using the sin ratio
sin60=opposite/hypotenuse
sin60=a/7√3
a=10.5
then after you have found the adjacent you can use the cos ratio
cos45=adjacent/hypotenuse
cos45=10.5/x
cos45x/cos45=10.5/cos45
x=14.849
which is the same as 21√2 over 2
I hope this helps
Answer:
D
Step-by-step explanation:
Using sine ratio in left right angled triangle to find the altitude a of the large triangle which is common to both right triangles and the exact value
sin60° = [tex]\frac{\sqrt{3} }{2}[/tex] , then
sin60° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{a}{7\sqrt{3} }[/tex] = [tex]\frac{\sqrt{3} }{2}[/tex] ( cross- multiply )
2a = 21 ( divide both sides by 2 )
a = [tex]\frac{21}{2}[/tex]
Using the cosine ratio in the right side triangle and the exact value
cos45° = [tex]\frac{1}{\sqrt{2} }[/tex] , then
cos45° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{a}{x}[/tex] = [tex]\frac{1}{\sqrt{2} }[/tex] ( cross- multiply )
x = [tex]\sqrt{2}[/tex] a = [tex]\sqrt{2}[/tex] × [tex]\frac{21}{2}[/tex] = [tex]\frac{21\sqrt{2} }{2}[/tex] → D
Find the value of X. 40,x
Answer:
x = 70°
Step-by-step explanation:
x = one of the congruent angles in the triangle
Given angle measure: 40°
x = ? + ? = 180 - 40 = 140
x = 70
Answer:
x = 70°
Step-by-step explanation:
x = one of the congruent angles in the triangle
Given angle measure: 40°
x = ? + ? = 180 - 40 = 140
x = 70
write 0.21..... as a fraction in simplest form
Answer:
19/90
Step-by-step explanation:
0.2(1)
We know that most recurring decimals like this have a 9
We know that it can't be anything over 99, or else all digits will repeat:
0.212121....
It will be a number over 90, which will be 19/90
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
In New York, an Uber costs $15 plus $1.84 per mile. If you are traveling from the airport, there is an additional charge of $7.95 for tolls.
How far can you travel from the airport by Uber for $45.84?
a.14 miles
b.10 miles
c.12 miles
d.23 miles
Answer: C; 12 miles
Solution:
1) Add the initial Uber cost ($15) and airport toll charge:
$22.95
2) Subtract 22.95 from 45.84
$22.89 to spend on miles
3) Divide 1.84 (cost per mile) from 22.89
≈ 12.44 miles
Round down to 12 miles or option C
Solve for a.
-4a – 2a – 7 = 11
a =
[?]
Not a fraction answer
Answer:
sorry for point
plz
plz
plz
plz
Answer:
Hello,
Answer: a=-3
Step-by-step explanation:
[tex]-4a-2a-7=11\\\\\Longleftrightarrow\ -6a-7=11\\\\\Longleftrightarrow\ 6a=-7-11\\\\\Longleftrightarrow\ 6a=-18\\\\\Longleftrightarrow\ a=-3\\[/tex]
Graph the line.
x+y=4
So I need to graph this.So as not to feel guilty about just taking the answer..well lets say cheating....yeah I said it (Cringe) I dont like that. but whatever I tired solving it myself.
so here is what I did.
So I think I have to substitute x and y with any variable. So this is what I got...
2+2=4
so is the point (2,2)?
Answer:
(1,3) is the first point, and (4,0) is the second point
Step-by-step explanation:
Find the value of x in the isosceles triangle shown below.
Answer:
x = 6
Step-by-step explanation:
The isosceles triangle is divided into two forming two right triangles
in right triangles the square value of hypotenuse is equal to sum of other two side lengths
x^2 + 4^2 = 52
x^2 + 16 = 52 subtract 16 from both sides
x^2 = 36 find the root for both sides
x = 6
A can do a piece of work in 15 days. B can do the same work in 12 days and C can
finish the same piece of work in 20 days. They started the work together for 2 days
and then B and C leaves. In how many days will A finish the remaining work?
Answer:
[tex]9\ days[/tex]
Step-by-step explanation:
[tex]We\ are\ given:\\No.\ of\ days\ A\ takes\ to\ complete\ some\ amount\ of\ work=15\ days\\No.\ of\ days\ B\ takes\ to\ complete\ the\ same\ amount\ of\ work=12\ days\\No.\ of\ days\ C\ takes\ to\ complete\ the\ same\ amount\ of\ work\ as\ A\ and\ B\ =20\ days\\[/tex]
[tex]Now,\\We\ can\ say\ that\ an\ object\ has\ to\ complete\ \frac{1}{n}th\ of\ the\\ work\ daily,\ to\ complete\ the\ work\ in\ n\ number\ of\ days.\ This\ is\ however\\ only\ true\ if\ the\ object\ covers\ equal\ amounts\ of\ work\ each\ day.[/tex]
[tex]Here,\\In\ 1\ day,\\A\ would\ cover\ \frac{1}{15}th\ of\ the\ work.\\B\ would\ cover\ \frac{1}{12}th\ of\ the\ work.\\C\ would\ cover\ \frac{1}{20}th\ of\ the\ work.[/tex]
[tex]Now,\\We\ are\ also\ given\ that:\\They\ work\ together\ for\ 2\ days\ on\ the\ same\ work.\\Hence,\\Total\ work\ done\ in\ 1\ day\ by\ A,B\ and\ C=\frac{1}{15}+\frac{1}{12}+\frac{1}{20}=\frac{4+5+3}{60}=\frac{12}{60}=\frac{1}{5}\\Hence, Total\ work\ done\ in\ 2\ days\ by\ A,B\ and\ C=2*\frac{1}{5}=\frac{2}{5}[/tex]
[tex]Hence,\\The\ portion\ of\ the\ total\ work\ left=1-\frac{2}{5}=\frac{5-2}{5}=\frac{3}{5}\\So,\\Since\ A\ has\ to\ complete\ \frac{3}{5}th\ of\ the\ work,\ lets\ compute\ the\ no.\ of\ days\ it\ takes\ to\ do\ so.\\Hence,\\No.\ of\ days\ A\ takes\ to\ complete\ the\ entire\ work=15\ days\\Hence,\\No.\ of\ days\ A\ takes\ to\ complete\ \frac{3}{5}th\ of\ the\ entire\ work=15*\frac{3}{5}=9\ days[/tex]
Answer:
9 days
Step-by-step explanation:
A does in 15days, so A in 1day does 1/15part
B does in 12days, so B in 1day does 1/12part
C does in 20days, so C in 1day does 1/20part
So. A+B+C in 1 day-- 1/15+1/12+1/20=(4+5+3)/60= 12/60=1/5 and in 2days 2/5 part..hence remaining work=1/1–2/5=(5–2) =3/5part.
Now A in 1/15 part takes 1day
So, in 3/5 part 15×3/5 = 9 days.
what is the area of a rectangle with L= 6.8 cm and W= 4.5 cm
Answer:
30.6 cm
Step-by-step explanation:
length times width gives you the area of a normal 2d triangle
PLEASE HELP WILL GIVE BRAINLIEST!!!!
Answer:
Step-by-step explanation:
I may get this wrong because I don't think it's clear enough.
3 Letters
The station call letters must start with 1 of 3 letters
3
The next letter must be one of 25 and the last letter is 24
3 * 25 * 24 = 1800
5 letters
3 * 25 * 24 * 23* 22 = 910800
Total 1800 + 910800 = 912600
3a-8a>-20 help I suck at math
Answer:
Step-by-step explanation:
3a-8a>-20
-5a>-20
a>-20/-5
a>4
Three pieces of wood measure 20 cm, 41 cm and 44 cm. If the same amount is cut off each piece, the remaining lengths can be formed into a right triangle. What is the length that is cut off?
5 cm or 29 cm
Step-by-step explanation:
Let x length is cut off from each measurements.
Thus, the new measurements would be: 20 - x, 41 - x, 44 - x, which forms the sides of a right triangle.
Here, (44 - x) will be hypotenuse and (20 - x) and (41 - x) will be perpendicular legs of the triangle.
Therefore, by Pythagoras theorem:
[tex] {(41 - x)}^{2} + {(20 - x)}^{2} = {(44 - x)}^{2} \\ \\ \therefore \: {(41)}^{2} - 82x + {x}^{2} + {(20)}^{2} - 40x + {x}^{2} \\ = {(44)}^{2} - 88x + {x}^{2} \\ \\ \therefore \: 1681 - 122x + 2 {x}^{2} + 400 \\ = 1936 - 88x + {x}^{2} \\ \\ \therefore \: 2081 - 122x + {x}^{2} = 1936 - 88x \\ \\ \therefore \: {x}^{2} - 122x + 88x + 2081 - 1936 = 0 \\ \\ \therefore \: {x}^{2} - 34x + 145 = 0 \\ \\ \therefore \: {x}^{2} - 29x - 5x+ 145 = 0 \\ \\ \therefore \: x(x - 29) - 5(x - 29) = 0 \\ (x - 5)(x - 29) = 0 \\ x - 5 = 0 \: or \: x - 29 = 0 \\ \\ \therefore \: x = 5, \: 29[/tex]
So, the length that is cut off will be either 5 cm or 29 cm.
Choose the equation of the horizontal line that passes through the point (-2,-1).
Oy=-1
Oy=-2
Ox= -2
Ox= -1
Answer:
answer of this qn is Ox =-2
[tex]3-\sqrt{x} 1-16x^{2}[/tex]
Answer:
Step-by-step explanation:
This equation turns out to be a quartic. I'm not sure what should be done with. I can't believe you were asked to find its roots which are unbelievably complex. Here is a graph with the only 2 points that are easily found. If I am not solving what you need, please leave a note.
If f(1) = 4 and f(n) = f(n − 1) + 5 then find the value of f(5).
Answer:
25
Step-by-step explanation:
f(5)=5(5-1)+5
f(5)=5(4)+5
f(5)=20+5
f(5)=25
Answer:
f(5) = 24
Step-by-step explanation:
f(1) = 4
f(n) = f(n − 1) + 5
Let n = 2
f(2) = f(2 − 1) + 5 = 4+5 = 9
Let n = 3
f(3) = f(3 − 1) + 5 = f(2)+5 = 9+5 = 14
Let n = 4
f(4) = f(4 − 1) + 5 = f(3)+5 = 14+5 = 19
Let n = 5
f(5) = f(5 − 1) + 5 = f(4)+5 = 19+5 = 24
Penny attended a four year state college. She took out a student loan to pay for her tuition and room & board for the four years she was attending the college. Her tuition fees were $6,970 per year, and the cost of her room and board was $11,320 per year. Now that she has graduated, she will have to start paying back her loan. Fortunately, Penny has a grace period of one year before she has to start paying back the loan. Her loan details are as follows: there is a fixed-rate interest of 4.5% and the interest compounds each month. During her one year grace period, interest will accrue on the loan, so that when she has to start paying the loan back she will owe more than what she owes now. Her goal is to be able to payoff the loan in 10 years.
Given all of this information, answer the following questions:
1. What is the original loan amount, i.e. how much were the total costs for tuition plus room & board for the four years that Penny attended the college?
2. What is the new loan amount after the one-year grace period (remember that interest will accrue on the loan during this initial 12-month period that she is not paying anything back on the loan)? This is the amount that she will be responsible for paying back. (Round your answer to the nearest whole dollar)
3. Given that she can pay back the loan in full after 10 years of payments, what is the total amount she will end up paying back (both principal and interest that has accrued over the 10 years)? And how much will her monthly payments on the loan be for those 10 years? (Round your answers to the nearest whole dollar)
Answer:
27,880 for tutitions + 45,280 for room and board= 73,160 total
12. Classify the following number. (Select all that apply)
*
5/3
Natural
Whole
Integer
Rational
Irrational
Answer:
rational is the answer....
The area of a square field is 1 17/64 m2. What is the perimeter of the square field? Can some1 say this ans fast pls
Answer:
5.41 m
Step-by-step explanation:
First, let's find a side length by taking the square root of the area.
117/64 ^ 1/2 = 1.352...
Next, we need to multiply by 4.
1.352... x 4 = 5.408...
= approximately 5.41
What is the midpoint of a line segment connecting the points (−4,6) and (8,2) Need answer fast
Answer:
-12 & -18
Step-by-step explanation:
Answer:
Step-by-step explanation:
8x+6-9x=2-x-15
Help.
Step-by-step explanation:
︎︎︎︎ ︎︎︎︎ ︎︎︎︎︎ ︎︎ ︎︎︎︎❤︎❤︎❥︎ఌ︎ꨄ︎
[tex]8x + 6 - 9x = 2 - x - 15 \\ 8x - 9x + x = 2 - 15 - 6 \\ x = 2 - 15 - 6 \\ x = = 19[/tex]
please mark this answer as brainlist
The roots of x2 - 5x - 4 = 0 are
A. 1 and 4
5+41
*2
В.
C. -1 and -4
-5+141
2
Answer:
the answer to this is:
[tex]\frac{5+\sqrt{41} }{2} and\\\frac{5-\sqrt{41} }{2}[/tex]
Step-by-step explanation:
Find the square root of 7250 by prime factorisation.
Answer:
The square root of 7250 is 85.15
Step-by-step explanation:
[tex]{ \boxed{ \sf{7250}}} \\ ↓ \div 2 \\ { \boxed{ \sf{3625}}} \\ ↓ \div 5 \\ { \boxed{ \sf{725}}} \\ ↓ \div 5 \\ { \boxed{ \sf{145}}} \\ ↓ \div 5 \\ { \boxed{ \sf{29}}}[/tex]
Find square roots of divisors:
[tex]{ \sf{ = \sqrt{2} \times \sqrt{5 \times 5 \times 5} \times \sqrt{29} }} \\ = { \sf{ \sqrt{2} \times \sqrt{125} \times \sqrt{29} }} \\ = { \sf{85.15}}[/tex]
[tex]{ \underline{ \sf{ \blue{christ \:† \: alone }}}}[/tex]
Find the missing value.
Hint: Use the number line to find the missing value.
-4 -
9
{
--15
开
15
-10
-5
0
5
10
Answer:
5
Step-by-step explanation:
-4 = x - 9
I hope this helps! :)Answer:
5
Step-by-step explanation:
5 - 9 = -4
SAT/ACT What is the solution of 1,200 – 5(3x + 30) = 600? A 30 B 50 C 150 D 200 E 250
The answer you are looking for is letter A, x=30.
Solution/Explanation:
First, write out the equation,
1200-5(3x+30)=600
Next, using the Distributive Property,
1200-15x-150=600
Simplify the left side of the equation just a little bit more,
1050-15x=600
Reverse order of terms on the left side, to make it a little bit easier to solve,
-15x+1050=600
Now, subtract 1050 from both sides,
-15x+1050-1050=600-1050
Now, simplify this part of the equation,
-15x=-450
Finally, divide both sides by -15,
So, therefore, the final answer is x=30.
I hope this helped you. Enjoy your day, and take care!
Find the geometric mean of 5/6 and 1/2.
Answer:
Step-by-step explanation:
[tex]G.M.=\sqrt{\frac{5}{6} \times \frac{1}{2} } =\sqrt{\frac{5}{12} }[/tex]
Two thirds of the students in a class have pets. There are
36 students in the class. How many of the students have pets?
Explain what it means for a solution of an equation to be extraneous.
Answer:
Extraneous Solutions An extraneous solution is a root of a transformed equation that is not a root of the original equation because it was excluded from the domain of the original equation. Example 1: Solve for x, 1 x − 2 + 1 x + 2 = 4 (x − 2) (x + 2).
Ceasar opens a bank account with an initial deposit of $1800.00 with an annual interest rate of 3.2%. What is the balance on the account after one year?
Answer:
$1857.60
Step-by-step explanation:
Ceasar's initial deposit will earn $57.60 in interest after one year (annual interest rate of 3.2%). When that is added to his deposit of $1800, Ceasar will have $1857.60 in the bank at the end of one year.
Answer:
Hi jaajajajajaja
Step-by-step explanation:
Hi Hi aaaaaaaaaaaaaaaaa
apakah itu nombor jujukan ?
Answer:
Sequence number is a list of numbers that are linked by rule.
Apply distributive property to the following expression
Answer:
4x+20
Step-by-step explanation:
You distribute 4 to x and 5. Which means you just multiply 4 to x and 5 since they're in the parenthesis. 4 times x is 4x and 4 times 5 is 20.
