Answer:
(−4 -6.9 )= x, y rotation 240 degree anti clockwise
Step-by-step explanation:
We are told radius = 8 so the center point or point of origin is 0.0
360/3 = 120 degree x 2 = 240 degree is where we need to be.
(8,0) circulating anti clockwise = -8,0 at 180 = 180 degree.
This is 3 seconds.
We divide 8/3 to find the 4th and know it will be negative in the 3rd quadrant across the negative y axis, the lower and left point on the graph.
We know both are negative if going anti clockwise 240 degree.
We also know that the hands of a clock or mechanics of a mill cannot increase in length they shorten so they cannot be 8.7 even though triangles slants do increase this is independent of completing the lengths in a triangle. The lengths shorten.
-4 = x this is because it crosses -4 x axis to reach to -6.9 y coordinate.
Y= 6.9 as the length of 8 is shortened by 1.1 units between each 180 degree line we have 210deg (shows (-6.35, -2.4) also; 240 deg (-6.9, -4 ) and a 270 deg (this shows (0,8)
if 240/6.9 = 34% reduction
As 8 6.9 of 8 as a percentage = 86.25
As a ratio decrease we have 13.75% with the size of the coordinates at 240 degrees from 180 degrees the highest point is 270 degrees and is half again 1.1/2 = 0.55 increase in coordinates of y.
y would show -6.35 at 210 degrees and x would show 1.1 whole ratio change and show -2.4 at 210 degrees. The reason for this is that it is cutting the axis line and is a narrowing crossing for x axis shortly before 180 degree change.
The shortest point of the hand and central to 240 and 180 is 210 degree.
Use the Factor Theorem to examine the polynomial p(x)=6x4+x3−45x2+26x+24. Which binomial is a factor of p(x)?
2x+3
(3x-2)
(2x-1)
(3x−4)
Answer:
(D) 3x−4
Step-by-step explanation:
Factor Theorem
Given a polynomial P(x) and a linear function x-a, If P(a)=0, then the linear function x-a is a factor of P(a).
In Option A:
[tex]L$inear Function =2x+3\\Set 2x+3=0$\\x=-\frac{3}{2} \\p(x)=6x^4+x^3-45x^2+26x+24\\p(-\frac{3}{2})=6(-\frac{3}{2})^4+(-\frac{3}{2})^3-45(-\frac{3}{2})^2+26(-\frac{3}{2})+24\\\\p(-\frac{3}{2})=-89.25[/tex]
In Option B
[tex]L$inear Function =3x-2\\Set 3x-2=0$\\x=\frac{2}{3} \\p(x)=6x^4+x^3-45x^2+26x+24\\p(\frac{2}{3})=6(\frac{2}{3})^4+(\frac{2}{3})^3-45(\frac{2}{3})^2+26(\frac{2}{3})+24\\\\p(\frac{2}{3})=22.8[/tex]
In Option C
[tex]L$inear Function =2x-1\\Set 2x-1=0$\\x=\frac{1}{2} \\p(x)=6x^4+x^3-45x^2+26x+24\\p(\frac{1}{2} )=6(\frac{1}{2} )^4+(\frac{1}{2} )^3-45(\frac{1}{2} )^2+26(\frac{1}{2} )+24\\\\p(\frac{1}{2} )=26.25[/tex]
In Option D
[tex]L$inear Function =3x-4\\Set 3x-4=0$\\x=\frac{4}{3} \\p(x)=6x^4+x^3-45x^2+26x+24\\p(\frac{4}{3} )=6(\frac{4}{3})^4+(\frac{4}{3} )^3-45(\frac{4}{3} )^2+26(\frac{4}{3})+24\\\\p(\frac{4}{3} )=0[/tex]
We can see that only Option D: 3x−4 gives a result of 0. Therefore, by the factor theorem, it is a factor of the polynomial.
which of the following descriptions represents the transformation shown in the image? part 2b
Answer: b) rotation of 180°, reflection across y-axis
Step-by-step explanation:
The black triangle is in Quadrant IV.
A rotation of 180° will move it to Quadrant II.
The red triangle is in Quadrant I so you must reflect it across the y-axis.
Prove that
(1 + cot A + tan A) (sin A - cos A) = sin A tan A - cot A cos A
Answer:
see explanation
Step-by-step explanation:
Using the trigonometric identities
tan A = [tex]\frac{sinA}{cosA}[/tex] , cot A = [tex]\frac{cosA}{sinA}[/tex]
Consider the left side
(1 + cotA + tanA)(sinA - cosA)
each term in the second factor is multiplied by each term in the first factor.
1(sinA - cosA) + cotA(sinA - cosA) + tanA(sinA - cosA)
= sinA - cosA + cosA - [tex]\frac{cos^2A}{sinA}[/tex] + [tex]\frac{sin^2A}{cosA}[/tex] - sinA ( collect like terms )
= [tex]\frac{sin^2A}{cosA}[/tex] - [tex]\frac{cos^2A}{sinA}[/tex]
= ( sinA × [tex]\frac{sinA}{cosA}[/tex] ) - ([tex]\frac{cosA}{sinA}[/tex] × cosA )
= sinAtanA - cotAcosA
= right side ⇒ proven
Find the distance between (16,12) and (0,0)
Answer:
3/4 using equation y2-y1/x2-x1
Step-by-step explanation:
Use the equation y2-y1/x2-x1
x1, y1 x2, y2
(16,12) (0,0)
0-12/0-16= -12/-16= 3/4
what is the sum of 1/2(4x+4) + (2x+8)
Answer:
4x + 10
Step-by-step explanation:
1/2 x 4x =2x
2x + 2x =4x
1/2 x 4 = 2
2 + 8 = 10 Answer: 4x + 10
The diagram represents the factorization of a2+8a+12. A 2-column table with 2 rows. First column is labeled a with entries a squared, 2 a. Second column is question mark with entries 6 a, 12. First row is labeled a with entries a squared, 6 a. Second row is labeled 2 with entries 2 a, 12. What is the missing number that will complete the factorization? 6 8 12 24
Answer:
(A)6
Step-by-step explanation:
Given the quadratic expression: [tex]a^2+8a+12[/tex]
We factorize:
[tex]a^2+8a+12=a^2+6a+2a+12\\=a(a+6)+2(a+6)\\=(a+2)(a+6)[/tex]
Therefore, the missing number that will complete the factorization is 6.
Factorizing a² + 8a + 12 into (a + 2)(a + 6), the missing number to complete the factorization is: 6.
What is Factorization?Factorization can be defined as a process of resolving a product into factors.
Thus:
a² + 8a + 12
a² + 6a + 2a + 12
(a² + 6a) + (2a + 12)
a(a + 6) +2(a + 6)
(a + 2)(a + 6)
Therefore, factorizing a² + 8a + 12 into (a + 2)(a + 6), the missing number to complete the factorization is: 6.
Learn more about factorization on:
https://brainly.com/question/25829061
a cylinder has radius 2cm. the volume of the cylinder is 100cmcubed. work out the height of the cylinder, rounded to 2 decimal places.
Answer: height = 7.96 cm
Step-by-step explanation:
Height = volume / πr^2
h = 100 / π*2^2
h = 7.96 cm
PLS HELP ME!!!! ASAP I WILL MARK BRAINLIEST!!!!!!
Answer:
(-3)^3 x^5
Step-by-step explanation:
x*x*x*x*x *(-3)*(-3)*(-3)
There are 5 x terms
x^5
There are 3 (-3) terms
(-3)^3
Multiply theses together
(-3)^3 x^5
The right answer is (-3)^3 x^5
please see the attached picture for full solution
hope it helps...
Good luck on your assignment..
PLEASE HURRY!!! What is the value of p in the equation?
One-fourth (8 minus 4 p) + 2 p = 12 Here are the answer choices...
–20
–2
5
10
Answer:
10
Step-by-step explanation:
took the test on edge
the transformation shown is a rotation
true or false
Answer:
True
Step-by-step explanation:
Un fabricante de ventanas cuadradas cobra a razón de 3 euros por cada metro de marco y 12 euros por el cristal, sean cuales sean las dimensiones.
a)cuanto costara una ventana de 2 metros de lado.
b) por una ventana hemos pagado 60 euros¿cuanto mide su lado?
c)encuentra la expresión que nos de el precio de la ventana en función de las dimensiones y realiza una representación gráfica de esta función.
Answer:
Givens
The cost of the square windows is 3 euros per meter, and 12 euros for the crystal.If a window has 2 meters side, how much would it cost? (A)Notice that the window is a square, that means all four sides are congruent, so it has 8 meters in total, which would cost 24 euros plus the crystal. Therefore, the total cost of a window with 2 meters side is 24+12 = 36 euros.
Specifically, the function of the cost is: [tex]C(x)=3x+12[/tex], where [tex]x[/tex] represents meters of sides. (C)
If we paid 60 euros, the dimensions are (B)
[tex]60=3x+12\\60-12=3x\\x=\frac{48}{3}=16[/tex]
The window has 16 meters between the four sides, which gives 5 meters per side.
The graph of the function is attached.
4
3
5
6
Jacob rolls two fair number cubes. Find the probability that the sum of
the numbers he rolls is 8.
A Use the table to find the sample space for
1 2.
rolling a particular sum on two number cubes.
Each cell is the sum of the first number in that
1
row and column.
2
3
B
How many possible outcomes are in the
sample space?
4
5
с
6
Circle the outcomes that give the sum of 8.
D How many ways are there to roll
a sum of 8?
What is the probability of rolling a sum of 8?.
TRY THIS!
Find the probability of each event.
1a. Rolling a sum less than 5.
1b. Rolling a sum of 7 or a sum of 9.
REFLECT
1c. Give an example of an event that is more likely than rolling a sum of 8.
1d. Give an example of an event that is less likely than rolling a sum of 8.
Stephen and Bridget are marking exam papers. Each set takes Stephen 71 minutes and Bridget 2 hours. Express the times Stephen and Bridget take as a ratio in its simplest form.
Answer: 1:1.69014084507
Step-by-step explanation:
Evaluate A^2-B^2 for A=3 and B=-4.
Answer:
7
Step-by-step explanation:
3^2 = 9
(-4)^2 = 16
16-9= 7
Help me!
A spinner can land on either red or blue. You spin the spinner and then roll a six-sided number cube.
What is the sample space of outcomes?
{(R, 1), (R, 2), (R, 3), (R, 4), (R, 5), (R, 6), (B, 1), (B, 2), (B, 3), (B, 4), (B, 5), (B, 6)}
{(R, B), (B, R), (R, 1), (B, 2), (R, 3), (B, 4), (R, 5), (B, 6)}
{BR, 123456}
{1, 2, 3, 4, 5, 6, B, R}
A sample set contains every possible outcome.
The answer would be:
(R, 1), (R, 2), (R, 3), (R, 4), (R, 5), (R, 6), (B, 1), (B, 2), (B, 3), (B, 4), (B, 5), (B, 6)}
The sample space of the outcomes is {(R, 1), (R, 2), (R, 3), (R, 4), (R, 5), (R, 6), (B, 1), (B, 2), (B, 3), (B, 4), (B, 5), (B, 6)}
How to determine the sample spaceThe sample space of the spinner is:
S1 = {R, B}
The sample space of the six-sided number cube is:
S2 = {1,2,3,4,5,6}
When the two sample spaces are merged together, we have:
S = {(R, 1), (R, 2), (R, 3), (R, 4), (R, 5), (R, 6), (B, 1), (B, 2), (B, 3), (B, 4), (B, 5), (B, 6)}
Hence, the sample space of the outcomes is (a)
Read more about sample space at:
https://brainly.com/question/5750471
Si una persona de lunes a viernes entrena diariamente 1 hora ¿cuanto tiempo debe entrenar el sábado para que el promedio diario de las horas de entrenamiento de los 6 días sea 1,5 horas?
Answer: 4 horas
Step-by-step explanation:
Una semana (de lunes a viernes) contiene 5 días
Si se entrena 1 hora por día:
1 x 5 = 5 horas (total de horas de entrenamiento de lunes a viernes)
Ese total más el número de horas que se entrena el sábado (x) dividido por 6 (numero de días en la semana incluyendo sábado) debe ser igual a el promedio de horas entrenadas en los 6 días (1.5)
(5+x) /6 =1.5
Despajando x:
5+x =1.5 x 6
5+x =9
x =9-5
x = 4 horas
Melanie’s bedroom floor is rectangular in shape and has a width equal to 8x−6 and a length equal to 7x−3. What equation represents the area of the floor?
Select one or more:
a. A=56x2+66x+18
b. A=56x2+18x+18
c. A=56x2−66x+18
d. A=56x2−18x+18
Answer:
C
Step-by-step explanation:
Since the area of a rectangle is the width multiplied by the length, the area of this one would be:
[tex](8x-6)(7x-3)= \\\\56x^2-42x-24x+18=\\\\56x^2-66x+18[/tex]
Therefore, the correct answer is choice C. Hope this helps!
In the picture above, parallel lines p and q are cut by transversal line t. If the measure of angle 1 is 11x+7 and the measure of angle 8 is x+17, then x is equal to _____ and the measure of angle 1 is_____ degrees. The measure of angle 8 is _____ degrees.
Answer:
-11
Step-by-step explanation:
7/10 divided by 2
Please help if available ✌
Answer:
0.35
Step-by-step explanation:
if you divide them together you get 0.35
The sum of the measures of two complementary angles exceeds the difference of their measures by 86. Find the measure of the larger angle.
Oliver bought a scarf that costs 8 dollars and a watch that costs 9 dollars. At the counter he received a discount. If he paid only 13 dollars, how many dollars was the discount.
Answer: 4
Step-by-step explanation:8 + 9 = 17 you take what he paid 13 and subtract 13 from 17 and you get 4. 4 is how many dollars off he got.
Can someone plz help me out! With this problem I really need help ASAP! I will mark you as brainiest! Help help ASAP!
Answer:
[tex]h=\frac{1452}{7\pi }[/tex]
Step-by-step explanation:
[tex]84=\pi \left(\frac{7}{11}\right)^2h\\\mathrm{Switch\:sides}\\\pi \left(\frac{7}{11}\right)^2h=84\\\frac{49\pi }{121}h=84\\[/tex]
[tex]\mathrm{Multiply\:both\:sides\:by\:}121\\121\cdot \frac{49\pi }{121}h=84\cdot \:121\\49\pi h=10164\\\mathrm{Divide\:both\:sides\:by\:}49\pi \\\frac{49\pi h}{49\pi }=\frac{10164}{49\pi }\\h=\frac{1452}{7\pi }\\or\\h=66.0266[/tex]
Answer:
h=66
Step-by-step explanation:
84=22/7 *(7/11)^2*h
84=22/7*49/121*h
84=(22*49/7*121) * h ( we simplify by 7 and 11)
84=2*7/11 *h
84=14/11 *h
84=14h/11
:14
6=h/11
h=6*11
h=66
I'll send a screenshot of the problem. I'd really like an answer, please do your best!
Answer:
a). $(725 - 22t)
b). $99
Step-by-step explanation:
Expense account of the school has balance after 't' weeks = $(450 - 70t)
And fundraising account has the balance = $(275 + 48t)
a). Total amount in both the accounts after 't' weeks
= $(450 - 70t) + $(275 + 48t)
= $(450 + 275) + $(-70t + 48t)
= $(725 - 22t)
b). Total amount after 8 weeks
= $(725 - 22×8)
= $(275 - 176)
= $99
15. If the point (5,k) lies on the line represented by the equation 2x + y = 9, the value of k is....
C) -1
D) -2
A and B where wrong. 15 points for whomever answers correctly
Answer:
The answer is C.
Step-by-step explanation:
Given that (5,k) lies on the line that has the equation of 2x + y = 9. So in order to find k, you have to substitute the coordinates into the equation :
[tex]2x + y = 9[/tex]
Let x = 5,
Let y = k,
[tex]2(5) + k = 9[/tex]
[tex]10 + k = 9[/tex]
[tex]k = 9 - 10[/tex]
[tex]k = - 1[/tex]
SH
Complete each step in the following solution.
10x + 8 = 3(x - 2)
10x + 8 = 3x
DONE
7x=
DONE
x= -2
Answer: x= -2
Step-by-step explanation: use pemdas
10x + 8 = 3(x - 2) distribuite parenthesis
10x + 8 = 3x - 6
10x + 8 = 3x - 6 add like terms
7x +8= -6 add like terms
7x= -14 divide to get x alone
x= -2
Answer:
x = - 2
Step-by-step explanation:
10x + 8 =3(x-2)
10x + 8 =3x - 6
10x - 3x = - 6 - 8
7x = - 14
7x/7 = -14/7
x = - 2
Which expression is equivalent to (fg)(5)?
A: f(5) x g(5)
B: f(5) + g(5)
C: 5f(5)
D: 5g(5)
Answer:
f(5).g(5)
Step-by-step explanation:
(fg)=(f.g)
this is how it starts: (fg)(X)= f(x) [g(x)]
x=5
f(5).g(X)
Write the coefficients of x² in each of the following 1) 2+x²+x 2) 2-x²+x³
Answer:
(1) 1 (2) 0
Step-by-step explanation:
Looking at 1) 2+x²+x;
The coefficient of x is 1 because we see +x in the express which is the same as 1 × x = x.
2) Looking at 2) 2-x²+x³
There is no expression with x but we have x^2 , x^3 . Hence the coefficient of x is 0 because 0×x =0
Answer:
1) 1 and 2) -1
Step-by-step explanation:
1) 2+x²+x
+x² ⇒ coefficient of x² is 12) 2-x²+x³
-x² ⇒ coefficient of x² is -1the area that lies between Z= - 0.42 and Z= 0.42 is
Answer:
the answer is 0.84
Step-by-step explanation:
assume the two numbers are on a number line and take the absolute value of their difference
a map is drawn to the scale of 1:1000. find the actual distance between two towns dogo and Dagger which are 55 cm apart
Answer:
Dogo and Dagger are 55,000 units apart. (I don't know the unit of measurement.)
Step-by-step explanation:
1 : 1000
55 : 55000
Dogo and Dagger are 55000 units apart (Is it kilometers, centimeters? I don't know what unit of measurement it is.)
Helpppp with this asappp plz❤️
Step-by-step explanation:
1 (b) ( boy, boy), (boy,girl), ( girl,boy ), ( girl, girl )
(c) 4
(d) 2/4 = 1/2
(e) 1/4
2 (a) (1,head), (1,tail), (2,head), (2,tail), (3,head), (3,tail), (4,head), (4,tail)
(b) (A,1) (A,2), (A,3), (B,1), (B,2), (B,3), (C,1), (C,2),
(C,3)