Answer:
144
Step-by-step explanation:
12x12=144
Write the equation of the line that is perpendicular to y = -2/3 x +2 and goes through the point (-1, 4). Make sure your final answer is in slope-intercept form
Given:
The equation of a line is
[tex]y=-\dfrac{2}{3}x+2[/tex] ...(i)
The perpendicular line passes through the point (-1,4).
To find:
The equation of the perpendicular line.
Solution:
The slope intercept form of a line is:
[tex]y=mx+b[/tex] ...(ii)
Where, m is the slope and b is the y-intercept.
On comparing (i) and (ii), we get
[tex]m=-\dfrac{2}{3}[/tex]
Product of slopes of two perpendicular lines is -1.
Let the slope of perpendicular line is [tex]m_1[/tex].
[tex]m\times m_1=-1[/tex]
[tex]-\dfrac{2}{3}\times m_1=-1[/tex]
[tex]m_1=\dfrac{3}{2}[/tex]
The slope of the perpendicular line is [tex]m_1=\dfrac{3}{2}[/tex] and it passes through the point (-1,4). So, the equation of the line is:
[tex]y-y_1=m_1(x-x_1)[/tex]
[tex]y-4=\dfrac{3}{2}(x-(-1))[/tex]
[tex]y-4=\dfrac{3}{2}(x+1)[/tex]
[tex]y-4=\dfrac{3}{2}x+\dfrac{3}{2}[/tex]
Add 4 on both sides.
[tex]y-4+4=\dfrac{3}{2}x+\dfrac{3}{2}+4[/tex]
[tex]y=\dfrac{3}{2}x+\dfrac{3+8}{2}[/tex]
[tex]y=\dfrac{3}{2}x+\dfrac{11}{2}[/tex]
Therefore, the equation of required line is [tex]y=\dfrac{3}{2}x+\dfrac{11}{2}[/tex].
f (x) =x2 + 10x + 24.
Answer:
(-5,-1)
explanation
Helppppp pleaseeeee I don’t knowwww
Fidel has a rare coin worth $550. Each decade, the coin's value increases by %10
Which kind of function best models the relationship between time and the coin's value?
Answer: Exponential
Step-by-step explanation: I did it in khan
i need the answers quick
Answer:
1: 4
2:6
3: 13
4: 36
5: 21
6: 15
7: 21
8: 2
9: 6
10: 45
Step-by-step explanation:
add, subtract, multiply, or divide both sides depending on what problem it is.
Find the area of four walls of a room (Assume that there are no doors or windows) if its length 12 m., breadth 10 m. and height 7.5 m. ?
Answer:
Refer to the attached file
Hope it helps..
Have a great day : )
If one guppy requires 5L of water to live happily, what is the maximum number of gubbies that should be kept in his aquafrium
A random sample of 40 seniors reveals that 10% of those sampled have assigned parking spaces in the high
school's main lot. This is surprising because, according to the main office of a large high school, 45% of seniors
have assigned parking spaces in the high school's main lot. Which of the following statements is true?
10% is a statistic and 45% is a statistic.
10% is a statistic and 45% is a parameter.
10% is a parameter and 45% is a statistic.
10% is a parameter and 45% is a parameter.
B. 10% is a statistic and 45% is a parameter.
10^6 times 10^5 as a power of ten - thanks !
Answer:
one hundred billion
Step-by-step explanation:
10^6 x 10^5 = 10^11
10^11 = 100,000,000,000 or one hundred billion
I hope that's what you meant ^-^
How can you convert the dimesions of the area rug from inches to feet?
Answer:
1 foot equals 12 inches
Step-by-step explanation:
Answer:
Divide the inches by 12
Step-by-step explanation:
[tex]12 in = 1 ft\\ 1 in =\frac{1}{12} ft\\ x in =\frac{x}{12} ft[/tex]
find the value of given expression
[tex] \sqrt{230 - 5} [/tex]
Answer:
i think it is 345 but not sure
Step-by-step explanation:
PLZ HELP IF CORRECT ILL GIVE U BRAINLIEST
Answer:
32.25
Step-by-step explanation:
Neil has been running a tutoring business since 2005. He charges a monthly fee for weekly tutoring sessions and a phone help line. Each year, he has increased his fee by the same amount. The table shows what Neil charged each customer for two given years of his business:
Year Annual Tutoring Fee
2005 $1200
2008 $1350
A. What is the rate of change and initial value for Neil’s business? How do you know?
B. Write an equation in slope-intercept form to represent the fees that Neil charges each year.
Answer:
The answer is 2550
Step-by-step explanation:
Add 1200 and 1350 it'll give you 2550
Answer:
250
2550
Step-by-step explanation:
sorry if wrong but I think
A=250
B=2550
GIVING BRAINIEST IF CORRECT!!
Amanda slept for 1/3 of the day. She played with her friends for 1/5 of the day. She spent the rest of the day working on a school project. What fraction of the day did she spend working on her project?
Answer:
She spent 7/15 of the day working on her project.
Step-by-step explanation:
Well we cant get a clear answer with the fractions 1/3 and 1/5, so we are going to have to turn them into equivalent fractions.
3 and 5 both have 15 LCD so:
1/3 x 5/5 = 5/15
1/5 x 3/3 = 3/15
5/15 + 3/15 = 8/15
15/15 - 8/15 = 7/15
She spent 7/15 of the day working on her project.
Hopefully this helps :3 Sorry if wrong :( Plz mark brainiest if correct :D Your bootiful/handsome! Have a great day luv <3
-Bee~
[tex]45=9^{\sqrt{x} }[/tex]
Solving Exponential equations using logs. Round any decimal answers to the hundredths
Answer:
Step-by-step explanation:
a= b^c << === >> logb(a) = c
a b c
Convert 45 = 9^√x << === >> log9 (45) = √x
1.7324867604 = √x
3.0 = x squared both sides
I used a log calculator on the internet when a Gaggled log calculators
Ram gives his son 100 naira on one day, 50 naira on the second day, 25 naira on the third day and so on. What will be the total amount given by Ram to his son starting from the first day, if he lives forever?
Answer:
175+(25*∞d)
Step-by-step explanation:
So d will represent the days which we don't know yet
100 + 50 + 25 + 25d
175+25d
and in this case it will be infinite the amount of days so
175+(25*∞d)
The total amount given by Ram to his son starting from the first day, if he lives forever is 200 nairas.
Given,
Ram gives his son 100 nairas on one day, 50 nairas on the second day, 25 nairas on the third day, and so on.
We need to find what will be the total amount given by Ram to his son starting from the first day if he lives forever.
What is a geometric sequence?It is a sequence where each term after the first term is found by multiplying the previous terms by a common ratio.
Example:
2, 4, 8, 16, 32
Common ratio = 4/2 = 8/4 = 16/8 = 2
The sum of the nth term of a geometric sequence is given by:
S = a [ [tex]r^{n}[/tex]- 1 ) / ( r - 1 ) ] if r > 1 ______(1)
S = a [ 1 - [tex]r^{n}[/tex] ) / ( 1 - r ) ] if r < 1 _______(2)
We see that,
Ram gives his son 100 nairas on one day, 50 nairas on the second day, 25 nairas on the third day, and so on.
This is a geometric sequence.
Find the sequence.
100, 50, 25, ,,,,,,, ∞
Here,
The common ratio is:
r = 50 / 100 = 25/50 = 1/2
i.e r < 1
Find the sum of at ∞.
Now,
a = 100
r = 1/2
n = ∞
From (2)
S = a [ 1 - [tex]r^{n}[/tex] ) / ( 1 - r ) ]
S = 100 [ 1 - 0 ] / (1 - 0.5 ) ]
S = 100 [ 1 / 0.5 ]
S = 100 / 0.5
S = 200
Thus the total amount given by Ram to his son starting from the first day, if he lives forever is 200 nairas.
Learn more about geometric sequences here:
https://brainly.com/question/11266123
#SPJ2
0/1 For positive integer n, n? = n! · (n − 1)! · … · 1! And n# = n? · (n − 1)? · … · 1?. What is the value of 4# · 3# · 2# · 1#?
Answer:
331776
Step-by-step explanation:
Since n? = n! · (n − 1)! · … · 1! And n# = n? · (n − 1)? · … · 1?
Then 4# = 4? · (4 − 1)? · (4 − 2)?· 1?
= 4? · 3? · 2?· 1?
Now, n? = n! · (n − 1)! · … · 1!
So, 4? = 4! · (4 − 1)! · (4 − 2)! · 1! = 4! · 3! · 2! · 1! = 288
Thus, 3? = 3! · (3 − 1)! · 1! = 3! · 2! · 1! = 12
Also, 2? = 2! · (2 − 1)! · 1! = 2! · 1! · 1! = 2
and 1? = 1! · (1 − 1)! · 1! = 1! · 0! · 1! = 1
So, 4# = 4? · 3? · 2?· 1? = 288 × 12 × 2 × 1 = 6912
We now find 3#
3# = 3? · (3 − 1)? · 1? = 3? · 2?· 1?
Now, n? = n! · (n − 1)! · … · 1!
So, 3? = 3! · (3 − 1)! · 1! = 3! · 2! · 1! = 12
Thus, 2? = 2! · (2 − 1)! · 1! = 2! · 1! · 1! = 2
and, 1? = 1! · (1 − 1)! · 1! = 1! · 0! · 1! = 1
So, 3# = 3? · 2?· 1? = 12 × 2 × 1 = 24
We now find 2#
2# = 2? · (2 − 1)? · 1? = 2? · 1?· 1?
Now, n? = n! · (n − 1)! · … · 1!
So, 2? = 2! · (2 − 1)! · 1! = 2! · 1! · 1! = 2
1? = 1! · (1 − 1)! · 1! = 1! · 0! · 1! = 1
So, 2# = 2?· 1? = 2 × 1 = 2
We now find 1#
1# = 1? · 1? = 1? · 1?
Now, n? = n! · (n − 1)! · … · 1!
So, 1? = 1! · (1 − 1)! · 1! = 1! · 0! · 1! = 1
And, 1# = 1? · 1? = 1 × 1 = 1
So, 4# · 3# · 2# · 1#? = 6912 · 24 · 2 · 1? = 331776
pls help with math question !
thank you !!
Answer:
42 degrees
Step-by-step explanation:
All the interior angles in a triangle add up to 180 degrees. Knowing this, we can construct the following equation:
[tex]180=84+54+a\\180=138+a[/tex]
Subtract both sides by 138
[tex]180-138=138+a-138\\42=a[/tex]
I hope this helps!
Solve for x:
1
1
-X – 2
32
- 2 = (2 – 6)
2
Answer:x=-215
Step-by-step explanation: hope this helps!
In ΔGHI, the measure of ∠I=90°, the measure of ∠G=76°, and IG = 6.2 feet. Find the length of HI to the nearest tenth of a foot.
Answer: 24.9
Step-by-step explanation:
6.2 tan(76) = 24.86
Answer:
the answer is 24.9
Step-by-step explanation:
What is x-intercept of y=-3x+5
Answer:
To find x intercept, u graph it
the x intercept is 1.67
Step-by-step explanation:
ommon Unit Assessment (MC) I 4 of 12
Christopher determines the system of s(x) and (x) has only one solution. Which system is Christopher solving?
A
X +3
s(x) =
X-5
+1 and t(x) = x +3 +2
ОВ.
s(x) = x2
and t(x) = In(x +7)+4
C. s(x) = 2x42 -5 and t(x) = -x +31+2
OD. $(x) = (x +3 -1 and t(x) = 2x - 5
Answer:
D
Step-by-step explanation:
I had the same question and I got this right
Christopher is solving a system of equations that has one solution and can be seen in Option C.
What is a system of equations?A system of equations is two or more equations that can be solved together to get a unique solution. In this situation, the power of the equation must be in one degree.
A quadratic equation is the second-order degree algebraic expression in a variable.
s(x) = 2x42 -5 and t(x) = -x +31+2
However, if their power is not in one degree, the quadratic equation produces two solutions.
From the given options, we can see that only option c is not a quadratic equation, Hence, it is the right answer.
Learn more about systems of equations here;
brainly.com/question/14323743
Enter the value for that makes the given equation true.
20−5(6+4)=4−6
Answer:
hi, there is no variable
Which of these is a Pythagorean Triple?
1,1 square root of 2.
1, square root of 3, 2
11, 50, 51
20, 21, 29
Answer:
1, 1, sqrt of 2
A pipe is tested during a 6-hour leak test on 600 feet of 6-inch-diameter plastic pipe with a test pressure of 150 pounds per square inch (psi). The pipes are 10 feet long. During the 6-hour test period, 8 gallons of water were added to maintain the 150 psi pressure. What is the actual leakage from this section of pipe in gallons per hour per 100 joints?
Answer:
Gil the rule of induced in a test tube videos were
Step-by-step explanation:
hddhfjfjfjjcjccjmvgkkgjfdhfjkghl gmglgkgmglgm GGG of the rule used to the cultivation the
Combine like terms.
7x + 2y - 3x + 4y
The answer is 4x + 6y.
Answer:
4x + 6y
Step-by-step explanation:
7x - 3x = 4x
2y + 4y = 6y
4x + 6y
Janet paid 5% interest on a $628 loan for 4 months. How much interest did she pay on her loan
Answer:
Total interest paid:$6.56
Step-by-step explanation:
I used multiple loan calculators.
A furniture store sell kits that customers use to build cabinets. Each kit contains 18 screws and a set number of boards. Jarred buys 6 of these kits and has a total of 192 screws and boards. The equation shown represents this situation: 6(x + 18) 192. What does the variable represent in Jarred's equation? * O The number of screws in one kit O The number of screws in all 6 kits O The number of boards in one kit? The number of boards in all 6 kits?
the number of boards in all 6 kits
✔✔
Ed wants to bicycle at least 75 miles this week. The inequality 11 + 4b > 75 can be used to find the average number of miles he should bike on his remaining 4 bike rides this week.
Sorry for the inconvenience, but I need this done and I need help. This is the last question of this quiz. Please Help.
Answer: Ed should bike at least more than 16 miles
Step-by-step explanation:
11 + 4b > 75
4b > 64
b > 16
Triangle JKL is shown below.
K
24
L
28
Which equation should be used to find the
length of JK?