Answer:
Step-by-step explanation:
Slope is y2 - y1 / x2 - x1
x1= 1
x2= 0
y1=3
y2=-3
(-3-3) / (0-1) = -6/-1 = 6
What is the volume of the cylinder below? 6 7 4
A. 96pie units³
B. 168pie units³
C. 84pie units³
D. 112pie units³
Answer:
I believe the answer is A
Step-by-step explanation:
Type the correct answer in each box. The reflection of point S across the y-axis is point . The reflection of point Q across the x-axis and the y-axis is point , whose coordinates are (, ).
Answer:
[tex]S' = (-5,-5)[/tex]
[tex]Q"=(-5,-5)[/tex]
Step-by-step explanation:
Given
[tex]S = (5,-5)[/tex]
[tex]Q= (5,5)[/tex]
Solving (a): Reflect S across y-axis
The rule to reflect across y-axis is:
[tex](x,y) \to (-x,y)[/tex]
So, we have:
[tex]S(5,-5) \to S'(-5,-5)[/tex]
Hence:
[tex]S' = (-5,-5)[/tex]
Solving (b): Reflect Q across x and y-axis
The rule to reflect across x-axis is:
[tex](x,y) \to (x,-y)[/tex]
So:
[tex]Q(5,5) \to Q'(5,-5)[/tex]
The rule to reflect across y-axis is:
[tex](x,y) \to (-x,y)[/tex]
So:
[tex]Q'(5,-5) \to Q"(-5,-5)[/tex]
Hence:
[tex]Q"=(-5,-5)[/tex]
i dont get it either
Step-by-step explanation:
Factories fully x^2+2x=
Answer:
factorise form of
x²+2x = x(x+2)
(Please only correct answers only)
Find the center and the radius of the circle with the equation:
x2 - 2x + y2 + 4y + 1 = 0
Complete the square:
x ^2 - 2x + y ^2 + 4y + 1 = 0
(x - 1)^2 + (y + 2)^2 + 1 = 1 + 4
(x - 1)^2 + (y + 2)^2 = 4 = 2^2
Hence the center is (1, -2) and the radius is 2. (D)
The product of two consecutive positive odd integers is 38 less than the square of the greater integer. Find the integers.
Answer:
Let the first integer be 'n.' Then n(n+2)+38=(n+2)^2. Solve using the quadratic equation: n=17. The two odd integers are 17 and 19.
Step-by-step explanation:
The integers are -39 and -38.
What are natural numbers, rational numbers, integers and irrational numbers?Natural numbers are: 1, 2, 3, ....
Integer numbers are: ...., -2, -1, 0, 1, 2, ... (so it includes positive and negative natural number, and 0 )
Rational numbers are numbers which can be written in the form of [tex]\dfrac{a}{b}[/tex] where a and b are integers. Example: 1/2, 3.5 (which is writable as 7/5) etc.
Irrational numbers are those real numbers which are not rational numbers.
Know that all natural numbers are integers, all integers are rational numbers. That means, natural numbers are not irrational.
Given;
The product of two consecutive positive odd integers is 38 less than the square of the greater integer
Now, let the numbers be x and x+
So, the equations will be
x(x+1)-38=(x+1)^2
x^2+x-38=x^2+1+2x
x=-39
x+1=-38
Therefore, the integer numbers will be -39 and -38.
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Victor must choose one pair of pants, one shirt, and one tie to wear to work. His possible choice combinations are shown in the tree diagram below.
If Victor chooses these work clothes at random, what is the probability that he will choose tan pants, a white shirt, and a red tie?
1/12
1/4
3/7
4/9
Answer:
should be 3/7 I think that's right
The Angle of depression from the top of the flagpole to an object on the ground it's 33° if the object is 60 feet from the base of the cliff how tall is the flag pole
Answer:
The flag pole is 38.96 feet tall.
Step-by-step explanation:
The angle of depression from the top of the flagpole to an object on the ground is 33°.
The object is 60 feet from the base of the cliff.
We need to find the height of the flag pole.
Here, base, B = 60 feet
We know that,
[tex]\tan\theta=\dfrac{P}{B}[/tex]
Put all the values to find P.
[tex]P=B\times \tan\theta\\\\P=60\times \tan(33)\\\\P=38.96\ ft[/tex]
So, the flag pole is 38.96 feet tall.
A bag of cereal contains 12 blue marsh mellows, 16 red marshmellows , and 8 orange marsh mellows.If a marshmellow is picked from the bag at random, what is the probability that it is a red marsh mellow? Answers have been rounded to the tenths place.
Answer:
0.4 (decimal)
4/9 (fraction)
Step-by-step explanation:
Probability calculates the likelihood of an event occurring. The likelihood of the event occurring lies between 0 and 1. It is zero if the event does not occur and 1 if the event occurs.
For example, the probability that it would rain on Friday is between o and 1. If it rains, a value of one is attached to the event. If it doesn't a value of zero is attached to the event.
Probability a red marshmallow is picked = number of red marshmallows in the bag / sum of marshmallows in the bag
sum of marshmallows in the bag = 12 + 16 + 8 = 36
Probability a red marshmallow is picked = 16/36
To transform to the simplest form. divide both the numerator and the denominator by 4
= 4/9
to convert to decimal, divide 4 by 9 = 0.4444
0.4 to the nearest tenth
the tenth is the first number after the decimal place. To convert to the nearest tenth, look at the number after the tenth (the hundredth). If the number is greater or equal to 5, add 1 to the tenth figure. If this is not the case, add zero
Math question. Genius, please answer correctly.
Answer:
16-31 20, 18,25,28,31,23,19,27,22,25,20 11
32-47 33,42,36,41,47 5
48-65 65,52,61,50 4
Step-by-step explanation:
Helppp pleaseee asappp
(a) 8:30 am
(b) 17 minutes
(c) 10:15
What is the value of c?
30°
с
Answer:
c = 60°
Step-by-step explanation:
Since the measures are among a 90° angle, we need to subtract 30° from 90° which equals 60°
c = 60°
b
144°
с
Help me please
Answer:
b=36 and c=144
Step-by-step explanation:
b+144=180, b=36
b+c=180, c=180-36=144
5) A certain stock opens with a price of $0.59. Over the first three days the stock value increases at an average rate of 50% per day. If this trend continues, how much will the stock be worth in 12 days?
Answer:
In 12 days the stock will be worth $ 76.55.
Step-by-step explanation:
Given that a certain stock opens with a price of $ 0.59, and over the first three days the stock value increases at an average rate of 50% per day, to determine, if this trend continues, how much will the stock be worth in 12 days the following calculation must be performed:
Initial value x rate of increase ^ number of years = X
0.59 x 1.5 ^ 12 = X
0.59 x 129.74 = X
76.55 = X
Therefore, in 12 days the stock will be worth $ 76.55.
PLEASE HELP. !!!!!!!!!
Answer:
Step-by-step explanation:
The formula for this is:
6(6 + x) = 3(3 + 25) and
6(6 + x) = 3(28) and
36 + 6x = 84 and
6x = 48 so
x = 8
Layla and Bobby want to make 10 potholders each. If it takes one-eighth of a yard to make each potholder, how much total fabric will they need? (Write your answer as a decimal number!)
Which polynomial is equivalent to (18n^2 - 9n +1) divided by (3n - 1)? Assume the divisor is not equal to zero.
Answer:
6n-1
Step-by-step explanation:
The Equivalent polynomial is 6n-1.
What is polynomial?An algebraic expression known as a polynomial requires that all of its exponents be whole numbers. Any polynomial must have variable exponents that are non-negative integers. Although a polynomial contains variables and constants, we are unable to divide a polynomial by a variable.
We have,
To divide (18n² - 9n+ 1) by (3n-1).
Now, performing the division we get
3n-1 | 18n² - 9n+ 1 | 6n -1
18n² - 6n
_________
-3n + 1
-3n +1
_______
0
Thus, the quotient is 6n -1.
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Hello! Can someone please help me solve this? I need to know how to make the graph. Thanks!
Answer:
month us your x, and temp. is your y
type the graph into demos graph calculator.
hope this helps
please help me oh my lord
Answer:
A
Step-by-step explanation:
Which of the following is a solution of the equation 9 - 2x = -1?
Answer:
x = 5
Step-by-step explanation:
9 - 2x = - 1
9 + 1 = 2x
10 = 2x
x = 5
Answer:
hope it helps
have a good day
Step-by-step explanation:
q
find the first derivative of the following:
f(x)=x²
Answer:
[tex] \displaystyle f'(x) = 2 {x} [/tex]
Step-by-step explanation:
we would like to differentiate the following:
[tex] \displaystyle f(x) = {x}^{2} [/tex]
take derivative In both sides:
[tex] \displaystyle f'(x) = \frac{d}{dx} {x}^{2} [/tex]
use exponent derivation rule:
[tex] \displaystyle f'(x) = 2 {x}^{2 - 1} [/tex]
simplify substraction:
[tex] \displaystyle f'(x) = 2 {x}^{1} [/tex]
by law of exponent we obtain:
[tex] \displaystyle f'(x) = 2 {x} [/tex]
and we are done!
Answer:
f'(x) = 2x
Step-by-step explanation:
Using the power rule
[tex]\frac{d}{dx}[/tex] (a[tex]x^{n}[/tex] ) = na[tex]x^{n-1}[/tex]
f(x) = x²
f'(x) = 2.1 [tex]x^{2-1}[/tex] = 2x
Write -74.5 as a mixed number.
Answer:
-74 10/5
Step-by-step explanation:
first you will write the decimal number in fraction form which will be,
-74.5 = -745/10
now, on diving we will get,
74 as quotient and 5 as remainder, 10 as divisor.
now mixed fraction is, quotient divisor/remainder
the answer will be -74 10/5
•you can solve it to get the fraction you got previously as, =(-74 X10 + 5)/5 you will get the fraction in question.
I got a little help from my tutors at Gauthmath app, you can get it too. I would suggest you this app. really cool app.
Hope my answer helps.
Okay the first time nobody came, but please come now. I want steps. This must be written in scientific notation. Thanks! Do 17 and 18 or 19 and 20. Your choice! Just 2 of them. One division and multiplication.
Answer:
Your welcome! :)
Step-by-step explanation:
17: 35000
18: 0.0029
19: 0.000003
20: 1.5
Given csc(A) = 60/16 and that angle A is in Quadrant I, find the exact value of sec A in simplest radical form using a rational denominator . Someone please help me!
Answer:
[tex] \frac{15 \sqrt{209} }{209} [/tex]
Step-by-step explanation:
Objective: Understand and work with trig identies.
Recall multiple trig identies and manipulate them to get from cosecant to secant.
Given
[tex] \csc(a) = \frac{60}{16} [/tex]
Apply reciprocal identity csc a = 1/sin a.
[tex] \sin(a) = \frac{16}{60} [/tex]
Apply pythagorean identity to find cos a.
[tex]( \frac{16}{60}) {}^{2} + \cos(x) {}^{2} = 1[/tex]
[tex] \frac{256}{3600} + \cos(x) {}^{2} = 1[/tex]
[tex] \cos(x) {}^{2} = \frac{3600}{3600} - \frac{256}{3600} [/tex]
We can simplify both expression
[tex] \cos(x) {}^{2} = \frac{225}{225} - \frac{16}{225} [/tex]
[tex] \cos(x) = \frac{ \sqrt{209} }{15} [/tex]
Cosine is positve on quadrant 1 so that cos(a)
Apply reciprocal identity sec a= 1/ cos a.
The answer is
[tex] \sec(a) = \frac{15}{ \sqrt{209} } [/tex]
Rationalize the denominator.
[tex] \frac{15}{ \sqrt{209} } \times \frac{ \sqrt{209} }{ \sqrt{209} } = \frac{15 \sqrt{209} }{209} [/tex]
A ball is launched from 8 feet off the ground at an initial vertical speed of 64 feet per second. It is aimed across a field at a target also 8 feet off the ground. The height of the ball at time, t, in seconds, is given by the function, h = –16t 2 + 64t + 8. It will take the ball
seconds to hit its target.
Answer:
a
Step-by-step explanation:
because
Answer:The equation that is given, h = –16t 2 + 64t + 8, represents the general formula of the motion which is h(t) = h0 + v0t - 16t² where h0 is the initial height (8 feet), v0 is the initial velocity (+64 ft/s) and t is time in seconds. To determine the time when the ball is at the maximum height, we need to determine the vertex of the parabola which is done as follows:
vertex = time at maximum height = -b/2a = -64 / 2(-16) = 2 seconds
The maximum height can be calculated by substituting the time we obtained to the function.
h = –16t 2 + 64t + 8
h = –16(2)^2 + 64(2) + 8 = 72 feet
Step-by-step explanation:
x=6 is a solution to the inequalityx−5≤ 10
Answer:
Yes!
Step-by-step explanation:
Graph the system below and write its solution.
2x+y=4
1
y =
2*-1
Note that you can also answer "No solution" or "Infinitely many" solutions.
.
Solution:
?
No
solution
Infinitely
many
(0,0)
0
5
?
Answer:
2x+y=4
2times-1 is -2
2x+-2=4
2x=4
x=2
lol it looks easy but everytime i submit my answer it ends up wrong sooo help pls
Answer:
(y+8)(y+2)
Step-by-step explanation:
y^2 + 10y + 16
What two numbers multiply to 16 and add to 10
8*2 = 16
8+2 =10
(y+8)(y+2)
1.
Line RK
Line TY
Line RU
Line PQ
2. Pick three
- X
- T
- Q
- U
- Y
3. Pick three
- X
- s
- P
- R
- U
- T
4.
Plane QRP
Plane XUY
Plane s
Plane TRY
5. Show work if possible pls
(1/2, 4)
(4, 1/2)
(8, 1)
(1, 8)
6. Round to one decimal point
7-11. Show work if possible plz!
Answer:
the answer is plane try I'm pretty sure it's that.
Solve for in x in
4+3 (2x-4)=28
Answer: x=6
Step-by-step explanation:
Let's solve your equation step-by-step.
4+3(2x−4)=28
Step 1: Simplify both sides of the equation.
4+3(2x−4)=28
4+(3)(2x)+(3)(−4)=28(Distribute)
4+6x+−12=28
(6x)+(4+−12)=28(Combine Like Terms)
6x+−8=28
6x−8=28
Step 2: Add 8 to both sides.
6x−8+8=28+8
6x=36
Step 3: Divide both sides by 6.
6x
6
=
36
6
Answer:
[tex]x=6[/tex]
Step-by-step explanation:
[tex]4+3 (2x-4)=28[/tex]
Distribute 3 to the parenthesis:
[tex]4+6x-12=28[/tex]
Add 12 to both sides:
[tex]4+6x-12=28[/tex]
+12 +12
[tex]4+6x=40[/tex]
Subtract 4 from both sides:
[tex]4+6x=40[/tex]
-4 -4
[tex]6x=36[/tex]
Divide both sides by 6
[tex]6x=36[/tex]
/6 /6
[tex]x=6[/tex]
Hope this helps!
