The equation for line j can be written as y= 1 2 x–4. Parallel to line j is line k, which passes through the point ( – 8, – 5). What is the equation of line k?
Find the value of x if the two triangles are similar. Explain.
Given :
The given two triangles are similar .To find :-
The value of x .Solution :
In larger triangle :-
90 + y + y = 1802y = 180 - 90 2y = 90 y = 45°As we know that ,
Corresponding Angles of similar triangles are same ,
15x = 45x = 45/15 x = 3each face of a cube is a square with a side length of 7 inches what is the total area off all the faces of the cube
—3x —4 < 2 what is the answer to this
Answer:
What exactly does the < stand for in your problem?
Step-by-step explanation:
What I got was
-3 x -4 = 12
so it's 12 < 2
Answer:
X>-2
Step-by-step explanation:
im not sure what you want us to do so I solved for the inequality
- A candy clerk has three times as many kilograms of chocolate creams as peanut clusters.
The clerk has 48 kg of the two candies altogether. How many kilograms of peanut clusters
does the clerk have?
The kilograms of peanut clusters that the clerk has will be 12 kilograms of peanut flusters.
Let the kilograms of peanut clusters = x
Let kilograms of chocolate creams = y = 3x
Therefore, from the information given, the equation to solve the question will be:
x + y = 48 kilograms
x + 3x = 48 kilograms
4x = 48 kilograms
x = 48 kilograms / 4
x = 12 kilograms
Therefore, the kilograms of peanut clusters that the clerk has will be 12 kilograms of peanut clusters.
In conclusion, the correct option is 12 kilograms.
Read related link on:
https://brainly.com/question/24959144
Town B is 8 miles north and 17 miles west of town A. How far are
the two towns apart?
9514 1404 393
Answer:
18.8 mi
Step-by-step explanation:
The Pythagorean theorem can be used to find the straight-line distance between the towns. The distances 8 mi and 17 mi form the legs of a right triangle, whose hypotenuse is the straight-line distance.
d² = 8² +17² = 64 +289 = 353
d = √353 ≈ 18.8 . . . miles
The two towns are about 18.8 miles apart.
I NEED HELP VERY BADLY
Tracy has a savings account which earns interest at a rate of 8% each year. Let t
represent the amount of interest Tracy earns.
George earns the same amount of interest as Tracy. Let g represent the amount of interest George earns.
Peter does not earn the amount of interest as Tracy. Let p represent the amount of interest Peter earns.
Which statement is true?
A.
g ≠ p
B.
t ≠ g
C.
t = g
D.
p = t
Answer:
A
Step-by-step explanation:
Write the equation of the line in slope-intercept form. The line is parallel to y+x=3 and passes through the point (−12, 0).
y = -x + 3
y = -(x + 12)
y = -x - 12
Which type of tax is income tax?
Answer:
B.) Progressive
Step-by-step explanation:
Its schedule of marginal tax rates imposes a higher income tax rate on people with higher incomes, and a lower income tax rate on people with lower incomes. The percentage rate increases at intervals as taxable income increases.
2.5% of 2 2/5
is what number?
Answer:
The number is 0.06, or 6 hundredths.
Step-by-step explanation:
If we convert 2 2/5 to a decimal, we get 2.4
Then, we can convert our percentage to a decimal by moving our digits two units down, giving us .025.
Now, we can multiply 2.4 and .025, which gives us 0.06
The population of a town has been decreasing By 5% each year for the last two years the current population of the town is 1510 people what was the population two years ago
Solve by the substitution method
8x + 5y=11
3x + y=16
Answer:
x=69/7 y=-95/7
Step-by-step explanation:
Alex bought two hots dogs, fries, and a water at the food truck. The hot dogs were
$2.35 each and the fries were $1.25. When he paid with a $10 bill he received $1.45 in
change. How much was the water?
I NEED HELP ASAP PLS!!!!!!!!!!!
Answer:
-2x-0.7
Step-by-step explanation:
for me that is the best answer
Hello can some one please help me
Answer:
1
Step-by-step explanation:
This one once learned is clapz. Anything to the zero power is 1. ;)
what single decimal multiplier would you use to decrease by 2% followed by a 7% decrease?
9514 1404 393
Answer:
0.9114
Step-by-step explanation:
The multiplier for a series of changes is the product of the multipliers for each of the changes:
(1 -2%)(1 -7%) = (0.98)(0.93) = 0.9114
Two trains leave the same city at a right angle to each other and continue in straight lines. Train B travels 5 mph faster than train A. After two hours, they are 50 miles apart. Determine the speed of each
train.
Answer:
Let A have speed 'a.' Remember distance is rate times time, and the Pythagorean theorem. We then have (2a)^2+(2(a+5))^2=50^2. a=15, so the other rate is 20.
Step-by-step explanation:
Please help me with this i will give you brainlesist
Answer: 4
pls give brainliest
PLEASE HELP!!! WILL GIVE BRAINLIEST!!!!!
Does anyone know how start studying like the motivation too like on math mostly?
Answer:
See below:
Step-by-step explanation:
If you want to start studying but cant find the will too, set up a schedule and try to limit your mind to just studying during that time, you can start small like ~15 minutes on your first day, and gradually improve once your mind starts to adjust to it.
Its mostly figuring out how your mind works.
Funny how school teaches you, but doesnt teach you how to learn.
If this answer helped you, please consider marking as brainliest, helps a ton.
Have a nice day!
Shane rare book collection contains 40 books. He donates 20% of his books to the national libary. he sells 1/4 of his books to a rare book dealer. the remaining he sells online. how many books did he sell online? NO LINKS!
A:8
B:10
C:18
D: 22
What is the answer to T=4,500•(1.05)^100?
Answer:
591755.66030836 was my answer. Hope that helps.
Two rules for creating a pattern are given below.
Rule 1: Divide x by 4 to get y.
Rule 2: Subtract 18 from x to get y.
Which ordered pair, (x,y), works for both rules?
Choose 1 answer:
(Choice A)
(24,6)
(Choice B)
(30,12)
(Choice C)
(32,8)
Applying the rules, it is found that ordered pair (24,6), option A, works for both rules.
---------------------
The rule 1 is that y is x divided by 4, that is:
[tex]y_1 = \frac{x}{4}[/tex]
The rule 2 is that y is x subtracted from 18, that is:
[tex]y_2 = x - 18[/tex]
In item A, we have that the input x = 24, thus, the results of the expressions are:
[tex]y_1 = \frac{24}{4} = 6[/tex]
[tex]y_2 = 24 - 18 = 6[/tex]
In both cases, ordered pair (24,6), thus option A is the answer.
A similar problem is given at https://brainly.com/question/22103476
need help right now plz!!
Answer:
[tex]2<p<6[/tex]
Step-by-step explanation:
If it is less than [tex]6[/tex], it must have [tex]p<6[/tex].
If it is greater than [tex]2[/tex], it must have [tex]2<p[/tex].
We can combine these inequalities to get [tex]\boxed{2<p<6}[/tex].
The graph is left as an exercise to the reader.
if a(12)= x/3+2 and b(x)=12x, what is a(12)+b(1)?
Answer:
[tex]a(12) = 12 \div 3 + 2 \\ + b(1) = 12 \times 1 \\ = 4 + 2 + 12 = 18[/tex]
need help with #10 please
Answer:
Domain = (infinity, infinity) Range = (3,0)
Step-by-step explanation:
Hard to explain without giving a 15 minute lecture lol
A jacket is on sale for 15% off. If
the original price is $165, how much
would you save by buying it on sale?
A. $ 15.00
B. $ 24.75
C. $140.25
D. $189.75
E. $247.50
Answer:
$24.75
Step-by-step explanation:
Discount = Original Price x Discount %/100
Discount = 165 × 15/100
Discount = 165 x 0.15
You save = $24.75
Final Price = Original Price - Discount
Final Price = 165 - 24.75
Final Price = $140.25
How to simplify 7^2*7^9 divided by 7^14 and answer it in exponential form?
Which table can be represented by a line?
A)
А
B)
B
C С
D
D
Step-by-step explanation:
if you really want to get answer you should follow me
Please answer all question
(1)
(a) Use the fact that [tex]\sqrt{x^2} = |x|[/tex] for all [tex]x[/tex]. Since [tex]x\to+\infty[/tex], we have [tex]x>0[/tex] and [tex]|x| = x[/tex].
[tex]\displaystyle \lim_{x\to\infty} \frac{\sqrt{9x^2 - 2}}{x + 4} = \lim_{x\to\infty} \frac{\sqrt{x^2} \sqrt{9 - \frac2{x^2}}}{x + 4} \\\\= \lim_{x\to\infty} \frac{ x \sqrt{9 - \frac2{x^2}}}{x+4} \\\\= \lim_{x\to\infty} \frac{\sqrt{9 - \frac2{x^2}}}{1 + \frac4x} \\\\= \frac{\sqrt9}1 = \boxed{3}[/tex]
(b) This time [tex]x\to-\infty[/tex], so [tex]x < 0[/tex] and [tex]|x| = -x[/tex].
[tex]\displaystyle \lim_{x\to\infty} \frac{\sqrt{9x^2 - 2}}{x + 4} = \lim_{x\to\infty} \frac{\sqrt{x^2} \sqrt{9 - \frac2{x^2}}}{x + 4} \\\\= \lim_{x\to\infty} \frac{ \boxed{-x} \sqrt{9 - \frac2{x^2}}}{x+4} \\\\= (-1) \times \lim_{x\to\infty} \frac{\sqrt{9 - \frac2{x^2}}}{1 + \frac4x} \\\\= -\frac{\sqrt9}1 = \boxed{-3}[/tex]
(c) We immediately have
[tex]\displaystyle \lim_{x\to\infty} (x - \sqrt x) = \boxed{\infty}[/tex]
since [tex]x > \sqrt x[/tex] for all [tex]x > 1[/tex].
(d) Introduce a difference of squares by factoring in the limand's conjugate. The rest mirrors what we did in (a)/(b).
[tex]\displaystyle \lim_{x\to\infty} \left(\sqrt{x^2 + 12x} - x\right) = \lim_{x\to\infty} \frac{\left(\sqrt{x^2+12x} - x\right) \left(\sqrt{x^2+12x} + x\right)}{\sqrt{x^2 + 12x} + x} \\\\ = \lim_{x\to\infty} \frac{\left(\sqrt{x^2+12x}\right)^2 - x^2}{\sqrt{x^2+12x}+x} \\\\ = \lim_{x\to\infty} \frac{12x}{\sqrt{x^2+12x}+x} \\\\ = \lim_{x\to\infty} \frac{12}{\sqrt{1 + \frac{12}x} + 1} = \frac{12}{\sqrt1 + 1} = \boxed{6}[/tex]
(e) Divide through by the highest-degree exponential term.
[tex]\displaystyle \lim_{x\to\infty} \frac{12e^{2x} - 3e^{3x}}{2e^{2x} + 4e^{3x}} = \lim_{x\to\infty} \frac{12e^{-x} - 3}{2e^{-x} + 4} = \frac{0 - 3}{0 + 4} = \boxed{-\frac34}[/tex]
(2) By definition of the derivative, we have
[tex]f'(x) = \displaystyle \lim_{h\to0} \frac{f(x+h) - f(x)}h[/tex]
For [tex]f(x) = \sqrt{x^2+1}[/tex], the limit becomes
[tex]f'(x) = \displaystyle \lim_{h\to0} \frac{\sqrt{(x+h)^2+1} - \sqrt{x^2+1}}h[/tex]
Factor in the conjugate.
[tex]f'(x) = \displaystyle \lim_{h\to0} \frac{\left(\sqrt{(x+h)^2+1} - \sqrt{x^2+1}\right) \left(\sqrt{(x+h)^2+1} + \sqrt{x^2+1}\right)}{h \left(\sqrt{(x+h)^2+1} + \sqrt{x^2+1}\right)}[/tex]
[tex]f'(x) = \displaystyle \lim_{h\to0} \frac{\left(\sqrt{(x+h)^2+1}\right)^2 - \left(\sqrt{x^2+1}\right)^2}{h \left(\sqrt{(x+h)^2+1} + \sqrt{x^2+1}\right)}[/tex]
[tex]f'(x) = \displaystyle \lim_{h\to0} \frac{\bigg((x+h)^2+1\bigg) - (x^2+1)}{h \left(\sqrt{(x+h)^2+1} + \sqrt{x^2+1}\right)}[/tex]
[tex]f'(x) = \displaystyle \lim_{h\to0} \frac{2xh + h^2}{h \left(\sqrt{(x+h)^2+1} + \sqrt{x^2+1}\right)}[/tex]
[tex]f'(x) = \displaystyle \lim_{h\to0} \frac{2x + h}{\sqrt{(x+h)^2+1} + \sqrt{x^2+1}}[/tex]
[tex]\implies \boxed{f'(x) = \displaystyle \lim_{h\to0} \frac{x}{\sqrt{x^2+1}}}[/tex]
(3) The tangent line to
[tex]y = \frac1{x^2+1}[/tex]
at the point (2, 1/5) has slope equal to the derivative [tex]\frac{dy}{dx}[/tex] when [tex]x = 2[/tex]. Compute the derivative; since [tex]y = \frac1{f(x)^2}[/tex] where [tex]f(x)[/tex] is the function from the previous problem, using the chain rule gives
[tex]y = \dfrac1{f(x)^2} \implies \dfrac{dy}{dx} = -\dfrac{2f'(x)}{f(x)^3} = -\dfrac{2 \times \frac{x}{\sqrt{x^2+1}}}{\left(\sqrt{x^2+1}\right)^3} \\\\ \implies \dfrac{dy}{dx} = -\dfrac{2x}{(x^2+1)^2}[/tex]
The tangent line at (2, 1/5) then has slope
[tex]\dfrac{dy}{dx}\bigg|_{x=2} = -\dfrac{2\times2}{(2^2+1)^2} = -\dfrac4{25}[/tex]
Using the point-slope formula, the equation of the tangent line is
[tex]y - \dfrac15 = -\dfrac4{25} (x - 2) \implies \boxed{y = -\dfrac{4x - 13}{25}}[/tex]
