Answer: 8
Step-by-step explanation:
Find the domain of the function.
Answer:
all real numbers except x=8
Step-by-step explanation:
There is apparently a vertical asymptote at x = 8. The function is not defined for that value of x, but is defined everywhere else.
The domain is all real numbers except x=8.
In interval notation: (-∞, 8) U (8, ∞)
[Please, help me. I need it quickly]
If cosA+sinA=√2, then prove A=45°.
Step-by-step explanation:
Start by squaring both sides
cosA+sinA=[tex]\sqrt{2}[/tex]
[tex]cos^2A+2cosAsinA+sin^2A=2[/tex]
Apply Trig identity
[tex]cos^2x+sin^2x=1[/tex]
2cosAsinA+1=2
2cosAsinA=1
Apply Trig Identity
2cosxsinx=sin(2x)
sin(2A)=1
2A=arcsin1
arcsin(1) is a known value [tex]\frac{\pi }{2}[/tex]
2A=[tex]\frac{\pi }{2}[/tex]
A=[tex]\frac{\pi }{4}[/tex]
[tex]\pi[/tex] [tex]radians=180^o[/tex]
A=[tex]\frac{180^o}{4}[/tex]=[tex]45^o[/tex]
PLEASE HELP MEEE
1st pic. Referring to the figure, given ray BD bisects ∠ABC,
find the value of x.
2nd pic. Referring to the figure, given ray BD bisects ∠ABC,
find the value of x.
Given ∠A and ∠B are supplementary. The measure
of ∠B is three times the measure of ∠A. Find m∠A.
Given ∠A and ∠B are supplementary. The measure
of ∠B is three times the measure of ∠A. Find m∠B.
Answer:
x1=15, x2=10, angle A=45, angle B=135
Step-by-step explanation:
1st pic: since ray BD bisects angle ABC, 2x=x+15, subtract x from both sides to get x=15
2nd pic: using the same logic as above, x=4x-30. add 30 and subtract x from both sides to get 3x=30, divide by 3 to get x=10
since angle A and angle B are supplementary, A+B=180, since B=3A, we have A+3A=180, or 4A=180. divide to get A=45. since B=3A, B=3*45=135
Answer:
Refer to the explanation for the answer!
Step-by-step explanation:
Hello! Here is what I've found:
<ABC and <DBC in the first picture are both 30 degrees.
<ABC and <DBC in the second picture are both 10 degrees.
For m<A: It would be <A = x and <B = 3x
For m<B: It would be <A = 3x and <B = x
Find x and y. Give reasons to justify your solution. Pleaseee help
Answers:
x = 40 and y = 40
========================================================
Explanation:
The three angles involving x add up to 180 since they form a straight line or straight angle.
3x+0.5x+x = 180
4.5x = 180
x = 180/(4.5)
x = 40
Then note how the 0.5x and 0.5y angles are vertical angle pairs. Vertical angles form when we have two lines cross to form an X shape, and vertical angles are always opposite one another. Also, vertical angles are always the same measure.
0.5x = 0.5y
x = y
40 = y
y = 40
In the second step, I multiplied both sides by 2. Then I plugged in x = 40 we found earlier.
Write an exponential equation in the form y = ab^x whose graph passes through points (1,0.84) and (2,1.008)
Answer:
y = 0.7 * 1.2^x
Step-by-step explanation:
(1, 0.84)
0.84 = ab^1
(2, 1.008)
1.008 = ab^2
-------------------------
To find b divide the second point by the first
ab^2 / ab^1 = 1.008 / 0.84
b = 1.2
----------------------
To find a plug b = 1.2 into the first point
0.84 = a * 1.2^1
0.84 = a * 1.2
Divide both sides by 1.2
0.7 = a
------------------------
The equation is
y = 0.7 * 1.2^x
In 1855, Louis Remme traveled from Sacramento, California, to Portland, Oregon, stopping to rest for only 10
hours of the 143 hours it took him to reach Portland. If his average speed while traveling without resting was 5
miles per hour, how many miles did Louis Remme travel?
A 665
B 705
C 715
D 765
Answer:
A. 665 milesStep-by-step explanation:
Time in travel:
143 - 10 = 133 hrsAverage speed is 5 mph
Distance travelled:
d = std = 5*133 = 665 milesCorrect choice is A
Total time taken
143-10133hrsDistance
Speed×Time133(5)665miOption A
physics book is moved once around the perimeter of a table of dimensions 2.0 m by 0.5 m.
(a) If the book ends up at its initial position, what is its displacement?
(b) What is the distance traveled?
Step-by-step explanation:
(a) 0. no displacement.
(b) rectangle perimeter :
2×length + 2×width = 2×2 + 2×0.5 = 4 + 1 = 5 m
Identify the form the following equation is in y = 2/3x - 7
Answer:
Point slope form
[tex]y=mx+b[/tex]
Who knows what is 2 x 5 ?
Dr. Smith purchased a used car for $11,325. Her state charges 8% tax for the car, $53 for the license plates, and $40 for a state safety and emissions inspection. How does she need to play for these extra charges, not including the price of the car?
Answer:
999
Step-by-step explanation:
8% of 11,325 is 906
53 plus 40 is 93
906 plus 93 is 999
Draw a line PQ. Take any point outside it and construct a line parallel to the given line through this point
Parallel means same slope, so in the image, line PQ is connected by a line. The other point I made has a line parallel through it.
Will give brainliest
Proof (7 points)
2. Given BC Il DE. Prove triangle ADE - Triangle ABC.
STATEMENTS
REASONS
Simplify the expression
8h+(−7.3d)−14+5d−3.7h.
Help!
How do you find the change in the output value and the change in the input value, in a table?
Thank you, I just need simple instructions :)
Answer:
You can use ratio to compare the input and output
Step-by-step explanation:
Evaluate the expression x=7.x+8
Answer:
15
Step-by-step explanation:
For each time I see x, I replaced it with 7 because I know that x is equal to 7.
I only see one x so I am only replacing that one x so instead of x + 8, I get 7 + 8 and you could split 8 into 5 + 3 and split 7 into 5 + 2.
5 plus 5 is 10. If you are having trouble adding the numbers you could put up 5 fingers first and then add one finger up one by one to still the number 10. Now that just leaves you with 3 + 2.
You could first put up 3 fingers and then add two more to get a total of 5 fingers.
At last, you could just add 10 + 5 to get 15 in total.
Hope this works you!!!
How to write in Simplified slope intercept form
Answer:
y = -5/3x + 8
Step-by-step explanation:
So the y - intercept is 8 and from that point the line goes down by 5 and right by 3.
find the slope and y intercept
(0,1) and (2,-3)
whats the slope M=
whats the y intercept b=
Answer:
y = -2x + 1
Step-by-step explanation:
Y2 - Y1 / X2 - X1
-3 - 1 / 2 - 0
-4 / 2
= -2
y = -2x + b
-3 = -2(2) + b
-3 = -4 + b
1 = b
y = -2x + 1
Which of the ordered pairs is a solution to the system of inequalities?
y ≥ 3
y > x
(-3, 2)
(2, 3)
(-4, 3)
(0, 0)
JoJo Seaweed walks at a constant rate of 8 ft in 2 s. The table shows the relationship of feet to seconds. What is the constant of proportionality for the relationship of feet to minutes? Record your answer on the grid. Then fill in the bubbles
Answer:
240 ft/min
Step-by-step explanation:
3.(08.01 MC)
Find the length of the base of a square pyramid If the volume is 48 cubic inches and has a height of 9 inches.
O 4 inches
O 8 inches
O 16 inches
0
24 inches
Answer:
4 inches
Step-by-step explanation:
The formula is L=√((3×V)/h)
what would 2 x (x-3) sum be
Answer:
2x-6 I think
Step-by-step explanation:
Solve the equation
x2 + 4x - 7 = 0
by completing the square.
Give your answers correct to 2 decimal places.
Will make brainliest
See the steps below:
x² + 4x - 7 = 0x² + 4x + 4 - 4 - 7 = 0(x + 2)² - 11 = 0(x + 2)² = 11x + 2 = ± √11x = - 2 ± √11x = -2 ± 3.32x = 1.32, x = - 5.32The Tokyo Skytree in Japan is 634 m high. Meanwhile, the Canton Tower in China is 600 m high.
How much taller is the Tokyo Skytree?
Answer:
34
Step-by-step explanation:
634 - 600 = 34
Russell is eating at a restaurant. His total bill comes to $44.85. If Russell decides to leave a tip that is approximately 20% of the total bill, how much should he leave for the tip?
$9.00
$0.09
$54.00
$8.00
Answer:
I'm thinking is I'm not sure is is answer 0.9
Step-by-step explanation:
am not sure my answer guys because naka tulong din na man too
HELP ME PLEASE AAAAAAAAAAA
Answer:
180°consecutive interior angles are supplementary∠620°, 160°Step-by-step explanation:
The blanks get filled in like this:
Statement 3: m∠6 +m∠4 = 180°
Reason 3: Consecutive interior angles are supplementary
Statement 4: m∠6 +8·m∠6 = 180°
Statement 5: m∠6 = 20°, m∠4 = 160°
_____
You can see from the diagram that angles 4 and 6 are consecutive interior angles. You know the relation between those angles is that they are supplementary. The problem is asking you to state that relationship as Reason 3.
The given relation between the angles, m∠6 = 1/8·m∠4, can be recast as ...
8·m∠6 = m∠4
This is the substitution that is used in statement 4.
Simplifying that statement gives 9·m∠6 = 180° ⇒ m∠6 = 180°/9 = 20°. Then m∠4 = 8·m∠6 = 8·20° = 160°.
The price of Stock A at 9 AM was $12.73. Since then, the price has been increasing at the rate of $0.06 per hour. At noon, the price of Stock B was 13.48. It begins to decrease at the rate of $0.14 per hour. If the stocks continue to increase and decrease at the same rates, in how many hours will the prices of the stocks be the same?
Answer:
Let the hours when they equalize=h, then we have:
12.25 + .13h=13 - .09h
.13h + .09h=13 - 12.25
.22h=.75 divide both sides by .22
h=.75/.22
h=3 9/22, hours, when they will equalize.
The stock prices will be the same in 3.4 hours.
What is the equation?The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.
At 9 a.m., the price of Stock A was $12.73. Since then, the price has risen at a pace of $0.06 per hour. Stock B was trading at 13.48 at midday. It starts to fall at a pace of $0.14 each hour.
Let's assume the hours would be h when to equalize,
As per the given question, we can write the equation as:
12.25 + 0.13h = 13 - 0.09h
Rearrange the terms of h in the above equation,
0.13h + 0.09h = 13 - 12.25
Combine the likewise terms in the above equation,
0.22h = 0.75
Divide both sides by 0.22
h = 0.75/0.22
h = 3.4
Thus, the stock prices will be the same in 3.4 hours.
Learn more about the equation here:
brainly.com/question/13947055
#SPJ2
pls help…. quickkkkkkkkkkk
Answer: b
Step-by-step explanation:
Answer:
B.
Step-by-step explanation:
The shading is above the line, so it must be ≥ or >.
The line is solid, so it must be ≥.
The only choice with ≥ is the answer.
Answer: B.
Grant plans to evaporate enough water from 22 gallons of a 16% ammonia solution to make a 24% ammonia solution. Which equation can he use to find n, the number of gallons of water he should remove? 3. 52 (22 minus n) = 0. 24 StartFraction 22 minus n Over 3. 52 EndFraction = StartFraction 24 Over 100 EndFraction StartFraction 3. 52 Over 22 minus n EndFraction = StartFraction 24 Over 100 EndFraction 3. 52 (22 minus n) = 0. 24.
Answer:
The correct answer is 33.4516
Approximately it is 33.452
answer this questtion
Answer:
69 degrees
Step-by-step explanation:
Answer:
21gb
Step-by-step explanation:
did the test
Ray uses 1/4 of a gallon of gasoline to drive a distance of 5 1/2 miles. At this rate, how many miles can he drive on 1 gallon of gas?
Any help is appreciated!
Answer:
22
Step-by-step explanation: