Answer:
B
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (0, - 6) and (x₂, y₂ ) = (8, - 4) ← 2 points on the line
m = [tex]\frac{-4+6}{8-0}[/tex] = [tex]\frac{2}{8}[/tex] = [tex]\frac{1}{4}[/tex]
The line crosses the y- axis at (0, - 6 ) ⇒ c = - 6
y = [tex]\frac{1}{4}[/tex] x - 6 → B
what is the mean devuation of the following numbers
Answer:
hi pls do enter the no.s
Multiply: (6x - 1)(6x +1)
Answer:
36x^2 -1
Step-by-step explanation:
6x times 6x= 36x^2
6x times 1= 6x
-1 times 6x= -6x
-1 times 1= -1
so, ...
36x^2+6x+(-6x)+(-1) = 36x^2 -1
What is the slope of the line that passes through the points (1, 1) and (9, 7)? 3/4 4/5 5/4 4/3
Answer:
3/4
Step-by-step explanation:
We can use the slope of the line by using the slope formula
m = (y2-y1)/(x2-x1)
= (7-1)/ ( 9-1)
= 6/8
= 3/4
Answer: 3/4
Step-by-step explanation: To find the slope of this line, I will be showing you the graphing method.
To find the slope of the line using the graphing method,
we first set up a coordinate system.
Next, we plot our two points, (1, 1), which we label point A, and (9, 7), which we label point B, and we graph our line, as shown below.
Now, remember that the slope, or m, is equal to
the rise over run from point A to point B.
To get from point A to point B, we rise
6 units and run 8 units to the left.
So our slope, or rise over run, is 6 over 8, which reduces to 3/4.
5 (x+4)=35.please solve it for me
Answer:
3 = x
Step-by-step explanation:
5(x+4) = 35
distribute: 5x + 20 = 35
subtract 20 to both sides
15 = 5x
divide by 5 to make x independent
x=3
30 POINTS!! Given triangle ABC shown below, which graph shows the transformation (x-2, y+4)?
Answer:
Its C
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
Take point A at ( 4,-1)
We are shifting down 2 and to the right 4
(4-2, -1+4) becomes ( 2,3)
Choice C has A' at ( 2,3)
(Math never got easier!) No seriously help:)
Answer:
Step-by-step explanation:
cosФ=0 then the angle=π/2=90 degrees
sinФ==1 sin 90=1
12) the original price of the console that Amanda bought :
240+(240*50%)=360 dollars
the price before the tariffs:
360-(360*50^)=180 dollars
can someone please help me
Answer:
3x^2 + 3/2 x -9
Step-by-step explanation:
f(x) = x/2 -3
g(x) =3x^2 +x -6
(f+g) (x) = x/2 -3 + 3x^2 +x -6
Combine like terms
= 3x^2 + x/2 +x -3-6
= 3x^2 + 3/2 x -9
Hi There! Can someone please help me with this Maths Question as soon as possible. I will mark the brainliest. Write each calculation as a single power. a) 8^5 multiplied by 8^4 b) 3^11 multiplied by 3 c)9^3 multiplied by 9^7 multiplied by 9^6 d) 7^7 ÷ 7 e) 12^10 ÷ 12^5 f) (6^3)^6
I'll be using the following properties about exponents:
[tex]a^b \times a^c=a^{b+c}[/tex]
[tex]a^b \div a^c=a^{b-c}[/tex]
[tex](a^b)^c=a^{bc}[/tex]
where a, b, and c are some positive integers
Part a:
[tex]8^5 \times 8^4 = 8^{5+4}=8^9[/tex]
Part b:
[tex]3^{11} \times 3 = 3^{11} \times 3^{1} = 3^{11+1} = 3^{12}[/tex]
Part c:
[tex]9^3 \times 9^7 = 9^{3+7}=9^{10}[/tex]
Part d:
[tex]7^7 \div 7 = 7^7 \div 7^1 = 7^{7-1}=7^6[/tex]
Part e:
[tex]12^{10} \div 12^5 = 12^{10-5}=12^5[/tex]
Part f:
[tex](6^3)^6 = 6^{6 \times 3} = 6^{18}[/tex]
These should be all the answers. Let me know if you need any clarifications, thanks!
the diagrams shows a right-angled triangle. find the size of angle x. give your answer correct to 1 decimal place.
Answer:
1. 40.8 degrees
2. 65.6 degrees
Step-by-step explanation:
1.
sin(x) = opposite / hypotenuse = 17/26
x = arcsin(17/26) = 40.83 degrees
2. tan(x) = opposite / adjacent = 11/5 = 2.2
x = arctan(11/5) = 65.56 degrees
ANSWER FAST A 10 ft long ladder has one end that leans against a wall and another that rests on the ground 6 feet from the wall. How high on the wall does the ladder rest?
Answer:
8 feet
Step-by-step explanation:
[tex]h = \sqrt{10^{2} - 6^{2} } = \sqrt{100 - 36} = \sqrt{64} = 8[/tex]
x=y-y and 2x+4y=10 solve using substitution
Answer:
(0, 2.5)
Step-by-step explanation:
Well we substitute y-y into x in the following equation,
2x + 4y = 10
2(y-y) + 4y = 10
2y - 2y + 4y = 10
Combine like terms
2y - 2y = 0
4y = 10
10/4
y = 2.5
If y is 2.5 we can plug those into y.
2x + 4(2.5) =10
2x + 10 = 10
-10
2x = 0
0/2
x = 0
Directions: For
1.what is the square root
361
Answer:
√361=19
Step-by-step explanation:
Points A(-l, y) and B(5,7) lie on a circle with centre 0(2, -3y). Find the values of y. Hence, find the radius of the circle
Answer:
The answer is below
Step-by-step explanation:
Points A(-l, y) and B(5,7) lie on a circle with centre O(2, -3y). This means that AB is the diameter of the circle and OA = OB = radius.
For two points X([tex]x_1,y_1[/tex]) and Y([tex]x_2, y_2[/tex]), the coordinates of the midpoint (x, y) between the two points is given as:
[tex]x=\frac{x_1+x_2}{2},y=\frac{y_1+y_2}{2}[/tex].
For A(-l, y) and B(5,7) with center O(2, -3y), the value of y can be gotten by:
[tex]For\ x\ coordinate:\\2=\frac{-1+5}{2}\\ 2=2.\\For\ y\ coordinate:\\-3y=\frac{y+7}{2}\\ -6y=y+7.\\-6y-y=7\\-7y=y\\y=-1[/tex]
The value of y is -1. Therefore A is at (-1, -1) and O is at (2, -3(-1))= (2, 3)
The radius of the circle = OA. The distance between two points X([tex]x_1,y_1[/tex]) and Y([tex]x_2, y_2[/tex]) is given as:
[tex]|OX|=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\\\Therefore\ the\ radius \ |OA|\ is :\\|OA|=\sqrt{(2-(-1))^2+(3-(-1))^2}=\sqrt{25}=5[/tex]
The radius of the circle is 5 units
The makers of Mini-Oats cereal have an automated packaging machine that is set to fill boxes with 24.3 ounces of cereal (as labeled on the box). At various times in the packaging process, we select a random sample of 100 boxes to see if the machine is (on average) filling the boxes as labeled. On Tuesday morning, at 7:45 a.m., a random sample of 100 boxes produced an average amount of 23.6 ounces. Which of the following is an appropriate statement of the null hypothesis?
A) The machine fills the boxes with the proper amount of cereal.
B) The average is 24.3 ounces (H0: μ = 24.3)
C) The machine is not filling the boxes with the proper amount of cereal (H0: μ ≠ 24.3 ounces).
D) The machine is not putting enough cereal in the boxes.
E) The average is less than 24.3 ounces (H0: μ < 24.3).
F) The machine fills the boxes with an average of 23.6 ounces (H0: μ = 23.6).
Answer:
B.
Step-by-step explanation:
The null hypothesis will say that the mean is equal to what it is supposed to be. In this case, each box is supposed to have 24.3 ounces of cereal.
So, your null hypothesis would be that the average is equal to 24.3, or H₀ = 24.3. B.
Hope this helps!
Calcule o valor dos produtos a) (-4). (-7/8) b) (-4). (-7/8) n sei pq tá repetido tá aqui na folha ;-; c) (-4).(+ 3,5) d) (-2).(-3/4). (-1/7) PRA HOJEE
Answer:
a) (-4). (-7/8) = 28/8
b) (-4). (-7/8)= 28/8
c) (-4).(+ 3/5) = -12/5
d) (-2).(-3/4). (-1/7) = (6/4)(-1/7)= -6/28
Step-by-step explanation:
a) (-4). (-7/8) = 28/8
b) (-4). (-7/8)= 28/8
c) (-4).(+ 3/5) = -12/5
d) (-2).(-3/4). (-1/7) = (6/4)(-1/7)= -6/28
É repetido talvez com sinal alterado para mostrar a diferença na resposta. Se o sinal for alterado, a resposta também se tornará negativa. Seria - 28/8.
Quando um número negativo é multiplicado por um número negativo, obtém um número positivo. Mas quando um número positivo é multiplicado por um número negativo, dá uma resposta negativa.
Sempre se lembre
negativo * negativo = positivo
positivo * negativo = negativo
negativo * positivo = negativo
positivo * positivo = positivo
Em palavras simples, dois sinais diferentes dão um sinal negativo e dois sinais semelhantes dão um sinal positivo na multiplicação.
English
a) (-4). (-7/8) = 28/8
b) (-4). (-7/8)= 28/8
c) (-4).(+ 3/5) = -12/5
d) (-2).(-3/4). (-1/7) = (6/4)(-1/7)= -6/28
Its repeated maybe with a changed sign to show the difference in the answer. If the sign is changed the answer would also become negative . It would become - 28/8.
When a negative number is multiplied with a negative number it gives a positive number. But when a positive number is multiplied with a negative number it gives a negative answer.
Always remember
negative * negative= positive
positive *negative=negative
negative *positive =negative
positive * positive = positive
In simple words two unlike signs give a negative sign and two similar signs give a positive sign in multiplication.
Question is the attached file.
Answer:
The critical points are 12 and 0.
Step-by-step explanation:
We have that the critical numbers are those values that result from equating the derivative of a function to zero. Also called roots or zeros of the derived function.
IF f is defined in x, it will be said that a is a critical number of f if f '(x) = 0 or if f is not defined in x.
Now the function is:
f (x) = x ^ 2 / (x -6)
we have that the derivative of the quotient is:
(f / g) '= (f' * g - g '* f) / g ^ 2
we replace and we have:
f (x) = [2 * x * (x-6) - 1 * x ^ 2] / (x -6) ^ 2
simplifying we have:
f (x) = [x ^ 2 - 12 * x] / (x -6) ^ 2
this must be equal to 0, like this:
[x ^ 2 - 12 * x] / (x -6) ^ 2 = 0
we solve:
x ^ 2 - 12 * x = 0
x * (x - 12) = 0
Thus:
x = 0
x - 12 = 0 => x = 12
The critical points are 12 and 0.
x + 3y = 42
2x - y= 14
Answer:
x=12,y=10
Step-by-step explanation:
Step: Solve x+3y=42
x+3y=42
x+3y+−3y=42+−3y(Add -3y to both sides)
x=−3y+42
Step: Substitute−3y+42forxin2x−y=14:
2x−y=14
2(−3y+42)−y=14
−7y+84=14(Simplify both sides of the equation)
−7y+84+−84=14+−84(Add -84 to both sides)
−7y=−70
Divide both sides by -7
y=10
Step: Substitute10foryinx=−3y+42:
x=−3y+42
x=(−3)(10)+42
x=12(Simplify both sides of the equation)
Hope this Helps:)
-Ac<3-
The area of a circle is increasing at a rate of 0.4 cm square per second. What is the rate of change of the circumference of the circle when its radius is 5cm?
Answer: 4π cm^2/minute
Step-by-step explanation:
Rate of change :
Change with respect to time (dr/dt)
dr/dt = 0.4cm^2/s
r = 5cm
The rate of change when the Radius is 5cm
Area / Circumference of a circle (A) = πr^2
From chain rule of differentiation:
dA/dt = (dr/dt) * (dA/dr)
If A = πr^2
dA/dr = 2πr
dA/dr = 2π * 5 = 10π
However,
dA/dt = (dr/dt) * (dA/dr)
dA/dt = (0.4) * (10π)
dA/dt = 4π cm^2/minute
What is the simplified expression for
2^2 • 2^3 over
24
O 20
O 21
O 22
O 23
Answer:
(B)[tex]2^1[/tex]
Step-by-step explanation:
We are to simplify the given expression: [tex]\dfrac{2^2 \cdot 2^3}{2^4}[/tex]
Step 1: Apply the addition law of indices to simplify the numerator.
[tex]\text{Addition Law: }a^x \cdot a^y=a^{x+y}[/tex]
Therefore:
[tex]\dfrac{2^2 \cdot 2^3}{2^4} \\\\=\dfrac{2^{2+3}}{2^4}\\\\=\dfrac{2^5}{2^4}[/tex]
Step 2: Apply the Subtraction law of indices to simplify the expression
[tex]\text{Subtraction Law: }a^x \div a^y=a^{x-y}\\\\\implies \dfrac{2^5}{2^4} =2^{5-4}\\\\=2^1[/tex]
The correct option is B.
Write the equation of a circle with center (7, -12) and radius 9.
Answer:
( x-7)^2 + ( y+12) ^2 = 81
Step-by-step explanation:
The equation of a circle can be written in the form
( x-h)^2 + ( y-k) ^2 = r^2 where ( h,k) is the center and r is the radius
( x-7)^2 + ( y--12) ^2 = 9^2
( x-7)^2 + ( y+12) ^2 = 81
Answer:
(x - 7)² + (y + 12)² = 81
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r the radius
Here (h, k) = (7, - 12) and r = 9, thus
(x - 7)² + (y - (- 12))² = 9², that is
(x - 7)² + (y + 12)²= 81
Simplify (2^3)^–2. PLEASE I NEED HELP U WILL GET 10 POINTS
Answer:
I won't give you the answer straight away so you take the time to read my answer and understand
Step-by-step explanation:
We knoe that 2 to the third is 8. when you square to a negative power, you do squaring normally, and then take the reciprocal of that number. so 8 to the second power is 64, and we flip it over, sp the answer is 1/64
Write a pair of negative integers whose difference is 8.
Answer:
(-5,-13) has a difference of 8
Answer:
-2 and -10
Step-by-step explanation:
negative integers are whole numbers below 0
difference is the same as (-)subtraction
x-y=8
if x= -2
-2-y=8
-y=8+2
-y=10
y= -10.
confirmation-2 - (-10)=8
-2+10=8
8=8
what is the midpoint of the segment shown below (2 2) (3 5) a. (5/2, 7/2) b. (5, 7) c. (5/2, 7) d. (5, 7/2)
Answer:
[tex]( \frac{5}{2} \: , \frac{7}{2} )[/tex]Option A is the correct option.
Step-by-step explanation:
Let the points be A and B
A ( 2 , 2 ) ------> ( x1 , y1 )
B ( 3 , 5 ) -------> ( x2 , y2)
Now, let's find the mid-point :
Midpoint = [tex] (\frac{x1 + x2}{2} \:, \frac{y1 + y2}{2} )[/tex]
plug the values
[tex] = ( \frac{2 + 3}{2} \: , \frac{2 + 5}{2} )[/tex]
Calculate the sum
[tex] = \: ( \frac{5}{2} \:, \frac{7}{2} )[/tex]
Hope this helps..
Best regards!!
If Camryan has 12 Tie fighters and Logan has 23 more than Camryan how many Tie fighters does Logan have.
Answer:
logan has 35 Tie fighters
Step-by-step explanation:
Camryan has 12
Logan has 23 more
23+12=35
hope i helped
-lvr
Please Help! Two lines, A and B, are represented by the following equations: Line A: y = x − 1 Line B: y = −3x + 11 Which of the following options shows the solution to the system of equations and explains why? (3, 2), because the point does not lie on any axis (3, 2), because one of the lines passes through this point (3, 2), because the point lies between the two axes (3, 2), because both lines pass through this point
Answer:
The last choice (3,2), because both lines pass through this point.
Step-by-step explanation:
For a point to be a solution to a system of linear equations, both equation's lines have to pass through that same point.
Answer: (3, 2), because both lines pass through this point
Step-by-stepexplanation:
This can be solved by substitution. The graph will show the same result.
2) w(x) =
18
-X +-
5'
5. Find w
ܚ ܝ
13
67
A)
B)
10
17
70
39
C)
D)
20
40
PLZ HELP ):
Answer:
sorry don't know what is ans
Answer:
Hi Mate!
plz don't scan the questions, it will be incorrect
Express 15 degrees in Radian measure.
Answer:
Formula 15° × π/180 = 0.2618rad
0.261799
Step-by-step explanation:
Answer:
1 /12 pi
Step-by-step explanation:
To convert degrees to radians, multiply by pi/ 180
15 * pi/ 180
1 /12 pi
writing linear equations
Answer:
The graph in blue: y=4/3x-2
Step-by-step explanation:
Slope-intercept form is y=mx+b, m being the slope and b being the y-intercept.
To find the slope, you just put rise/run of the line.
Hope this helped :)
A current of 2.5 A delivers 3.5 of charge
1 Ampere = 1 Coulomb of charge per second
2.5 A = 2.5 C of charge per second
Time to deliver 3.5 C of charge = (3.5 C) / (2.5 C / sec)
Time = (3.5 / 2.5) (C / C-sec)
Time = 1.4 sec
A current of 2.5 A delivers 3.5 C of charge in 1.4 seconds.
9. A solid rectangular block of copper 5 cm by 4 cm by 2 cm
is drawn out to make a cylindrical wire of diameter 2 mm.
Calculate the length of the wire.
Answer:
length = 1273.2 cm or 12.73 m
Step-by-step explanation:
Assume no loss.
diameter of wire, d = 2 mm
radius of wire, r = 1 mm = 0.1 cm
Volume of block, V = 5*4*2 = 40 cm^3
cross sectional area of wire, A = pi (r^2) = pi 0.1^2 = 0.01pi cm^2
Length of wire
= V/A
= 40 cm^3 / 0.01pi cm^2
= 4000/pi cm
= 1273.2 cm
= 12.73 m