Step-by-step explanation:
csc(4x) − 2 = 0
csc(4x) = 2
sin(4x) = 1/2
In radians:
4x = π/6 + 2kπ, 5π/6 + 2kπ
x = π/24 + kπ/2, 5π/24 + kπ/2
In degrees:
4x = 30° + 360°k, 150° + 360°k
x = 7.5° + 90°k, 37.5° + 90°k
what is the answer to
x^{2} + 2x + 15 = 0
From my knowledge:
²−2−15=0
x=5
x=-3
8(4k - 4) = -5k - 32
Answer:
k=0
Step-by-step explanation:
8(4k-4)=5k-32
32k-32=-5k-32
32k-32+32=-5k-32+32
32k=-5k
32k+5k=-5k+5k
37k=0
37k/37=0/37
k=0
Answer:
k=0
Step-by-step explanation:
To solve for k, we need to first distribute the 8 through the parenthesis.
32k-32=-5k-32
Lets add 5k to both sides.
37k-32=-32
add 32 to both sides
37k=0
divide 37 from both sides
k=0
A circle is centered at C(-1,-3) and has a radius of 6. Where’d does the point P(-6,-6) lie?
what is |x-4| if x>4
Answer:
x-4
Step-by-step explanation:
If x>4, |x-4|>0 which means |x-4|=x-4
The point slope formula (if possible) to write an equation of the line given the following information…we
The equation in point slope form is y - 6 = 2(x + 3)
This is from the general point slope template of [tex]y - y_1 = m(x - x_1)[/tex]
The m is the slope, which in this case is m = 2. The [tex](x_1,y_1)[/tex] is the point the line goes through. In this case, [tex]x_1 = -3 \text{ and } y_1 = 6[/tex]
If you were to solve that equation in bold for y, then you should get y = 2x+12 which is now in y = mx+b form, aka slope intercept form.
32 1/4 divided by 1/8 = 258 create a story or context for this number sentence
If the equation of the line is
(5y + 1)/10 = x, then what is the slope of the line?
A. 10
B. 5
C. 2
D. -1
Answer:
2
Step-by-step explanation:
(5y + 1)/10 = x
Multiply each side by 10
(5y + 1)/10*10 =10 x
(5y + 1) = 10x
Subtract 1
5y +1-1 = 10x-1
5y = 10x-1
Divide by 5
5y/5 = 10x/5 - 1/5
y = 2x-1/5
This is in slope intercept form y = mx+b where m is the slope and b is the y intercept
The slope is 2
Will Mark Brainlest Help Please ,,,,
[tex]\\ \sf\longmapsto 2x+y=2[/tex]
[tex]\\ \sf\longmapsto 2x=2-y[/tex]
[tex]\\ \sf\longmapsto x=\dfrac{2-y}{2}\dots(1)[/tex]
And
[tex]\\ \sf\longmapsto x+1=y+2[/tex]
[tex]\\ \sf\longmapsto x=y+2-1[/tex]
[tex]\\ \sf\longmapsto x=y+1[/tex]
Put the value[tex]\\ \sf\longmapsto \dfrac{2-y}{2}=y+1[/tex]
[tex]\\ \sf\longmapsto 2-y=2(y+1)[/tex]
[tex]\\ \sf\longmapsto 2-y=2y+2[/tex]
[tex]\\ \sf\longmapsto 2-2=2y+y[/tex]
[tex]\\ \sf\longmapsto 3y=0[/tex]
[tex]\\ \sf\longmapsto y=\dfrac{0}{3}[/tex]
[tex]\\ \sf\longmapsto y=\infty[/tex]
Put in eq(1)[tex]\\ \sf\longmapsto x=\dfrac{2-y}{2}[/tex]
[tex]\\ \sf\longmapsto x=\dfrac{2-\infty}{2}[/tex]
[tex]\\ \sf\longmapsto x=\dfrac{2}{2}[/tex]
[tex]\\ \sf\longmapsto x=1[/tex]
Answer:
x=1 , y=0
Step-by-step explanation:
2x+y=2.......1
x+1=y+2
x-y=2-1
x-y=1...... 2
from equation 2 we get ,
x-y=1
x=1+y
putting the value of x in equation 1 we get,
2*(1+y) +y=2
2+2y+y=2
2+3y=2
3y=2-2
3y=0
y=0/3
y=0
putting the value of y in equation 2 we get,
x-0=1
x=1+0
x=1
hence x=1 , y=0
Will someone please help me with this problem!! **It's multiple choice!
A = (-7,-6)
B = (8,-9)
Find the slope of line AB
m = (y2-y1)/(x2-x1)
m = (-9-(-6))/(8-(-7))
m = (-9+6)/(8+7)
m = -3/15
m = -1/5
The slope of line AB is -1/5.
Flip the fraction and the sign to go from -1/5 to +5/1 = 5. The perpendicular slope is 5.
Let m = 5.
Use the coordinates of point C (2,12) along with the perpendicular slope to get
y - y1 = m(x - x1)
y - 12 = 5(x - 2)
y - 12 = 5x - 10
y = 5x - 10+12
y = 5x + 2
Lastly, convert this to standard form
y = 5x + 2
5x+2 = y
5x+2-y = 0
5x-y = -2
Choice A is the closest match, but the -56 should be -2 instead. It seems like your teacher made a typo somewhere.
Answer:
5x - y = -2.
Step-by-step explanation:
The equation of this altitude line has a slope = -1/m where m is the slope of line AB . It will also pass through the point C.
The slope of line AB = (-9 - (-6)) / (8 - (-7))
= -3/15
= -1/5
So the slope of the required line = -1 / -1/5 = 5.
Using the point C and the point-slope form of a line:
y - y1 = m(x - x1)
y - 12 = 5(x - 2)
y - 5x = -10 + 12
y - 5x = 2
5x - y = -2.
PART A: Find a rational number that is between 5.2 and 5.5. Explain why it's rational.
PART B: Find an irrational number that is between 5.2 and 5.5. Explain why it is irrational. Include the decimal approximation of the irrational number to the nearest hundredth.
Answer:
A. 5.3 B. 5.4
Step-by-step explanation:
A. because its a fraction
B. because it cannot be express as a ratio of two integers
Use the function f(x) = 2x3 - 3x2 + 7 to complete the exercises.
f(−1) =
f(1) =
f(2) =
Answer:
2, 6, 11
Step-by-step explanation:
To evaluate f(- 1) substitute x = - 1 into f(x)
f(- 1) = 2(- 1)³ - 3(- 1)² + 7 = 2(- 1) - 3(1) + 7 = - 2 - 3 + 7 = 2
Similarly
f(1) = 2(1)³ - 3(1)² + 7 = 2(1) - 3(1) + 7 = 2 - 3 + 7 = 6
f(2) = 2(2)³ - 3(2)² + 7 = 2(8) - 3(4) + 7 = 16 - 12 + 7 = 11
Answer:
f(-1) = 2
f(1) = 6
f(2) = 11
Step-by-step explanation:
Got it right on Edge (⌣_⌣”)
What, if any, are the solutions to the equation 2(x - 3) = 2x - 6?
Answer:
2(x-3)=2x-6
2x-6=2x-6
2x+2x=6+6
4x=12
4 4
x=3
Step-by-step explanation:
answer x=3
A girl scored 18 out of 25 in English language and p% in mathematics. if her average score is 78% , what is the value of p
Answer:
84%
Step-by-step explanation:
percentage of score in English=18/25*100
=72%.
72+p/2=78
72+p=156
p=84%
Mark me BRAINLIEST if helped
Tysm!
Morgan rewrote the expression 90 + (10 + 4.8) as (90 + 10) + 4.8. How will this change the work that is needed to evaluate the expression? PLZ I NEED THIS PLZ HELP ME
Answer: Because of PEMDAS, the way Morgan rewrote the expression would change the the order of the steps to simplify it.
Step-by-step explanation: PEMDAS is the order of operations and it stands for Parenthesis, Exponents, Multiply, Divide, Addition, and Subtraction. If we simplify Morgan's version of the expression, we would add 90+10 first, which makes 100, then add 4.8 which makes 104.8. We come to the same conclusion when simplifying the original expression, 104.8. The difference is that we add 10+4.8 first and then add it to 90. While in this situation, the outcome was not different, the order of operations was changed.
600 becomes 720 in 2 years when the interest is simple if the rate of interest is increased by 2% then what will be the total amount.
Hi
So: 720 -600 = 120
120 for two years makes 120/2 = 60 in a year .
60 from 600 is 600/60 = 10
Interest is 10 %
If interest in 2% more, then it's 12%.
I'm sure you can count 12% simple interest for two years, so I let you try.
good luck.
this one from maths pls help
Answer:
The total amount left by Manavi and Kuber is: (1) 399
Step-by-step explanation:
Manavi
saving account + amount spent at the mall: 1/'2 + 1/4 = 3/4
left over: 1 - 3/4 = 4-3/4 = 1/4
1260 ( 1/4) = 315
The total leftover for Manavi is Rs.315.
Now do the same steps with Kuber.
Kuber
saving account + amount spent at the mall: 1/3+ 3/5 = 14/15
left over: 1- 14/15 = 15-14/15 = 1/15
1260 (1/15) = 84
The total leftover for Kuber is Rs.84.
Lastly, just add both left over amount together.
315+84 = 399
The total amount left by Manavi and Kuber is: (1) 399
What is the image point of (-5,9) after a translation left 1 unit and down 1 unit?
Answer: (-6,8)
Step-by-step explanation:
Translation is a rigid motion inn which every point of the figure moved in the same direction and for the same distanceTranslation rules are
Left c units : [tex](x,y)\to(x-c,y)[/tex]
Down c units : [tex](x,y)\to(x,y-c)[/tex]
The image point of (-5,9) after a translation left 1 unit and down 1 unit will be:
[tex](-5,9)\to(-5-1,9-1)=(-6,8)[/tex]
Hence, the image point is (-6,8).
Helppp thanksss!!!!!!
Answer:
1 mile
Step-by-step explanation:
in 20 minutes Stuart has gone 1 mile
in 20 minutes Brandy has gone 4 miles
therefore they meet 1 mile from Stuart's house
Answer:
1 mile
Step-by-step explanation:
Please answer ASAP thank you and please I will mark you as a brainlist
Answer:
6 1/6 or 6 2/12
Step-by-step explanation:
2 4/6 + 3 1/2
Get a common denominator
2 4/6 + 3 1/2 * 3/3
2 4/6 + 3 3/6
5 7/6
Rewriting
5 6/6 + 1/6
6 1/6
The inequalities x < -5 and -X > -5 are the same.
True
False
QUESTION-:
The inequalities x < -5 and -X > -5 are the same.
True
False
ANSWER-:
FALSE
!! HOPE ITS HELP U !!
Freddy the frog is climbing up a well. Every day he climbs up 3 m but some nights he falls asleep and slips back 4m at the start of the 16th day he has climbed a total of 29 m. On how many nights was he asleep?
Answer: The frog fell asleep for 4 nights.
Step-by-step explanation: First, he climbs up 3m every night. there are 16 nights before he gets to 29m. He has not climbed up for the 16th day so 15*3= 45. 45-29= 16. 16/4=4. The frog slept for 4 nights.
20 The nth term of an arithmetic series is Un where un > 0 for all n.
The sum to n terms of the series is Sn
Given that u4 = 6 and that S11 = (u6)2 + 18
Find the value of u20
Answer:
Hi,
[tex]u_{20}=30[/tex]
Step-by-step explanation:
[tex]u_n=u_1+(n-1)*r, \ r= commun\ ratio.\\u_4=u_1+3*r=6\\u_6=u_1+5r\\(u_6)^2=u_1^2+10ru_1+25r^2\\s_n=u_1+u_1+r+u_1+2r+...+u_1+10r=11*u_1+55r\\s_{11}=(u_6)^2+18\ \\\Longrightarrow\ u_1^2+10ru_1+25r^2+18=11u_1+55r\\\Longrightarrow\ 4r^2+2r-12=0\\\Longrightarrow\ 2r^2+r-6=0\\r=\dfrac{3}{2} \ or\ r=-2\ (excluded)\\\\u_1=6-3r=\dfrac{3}{2} \\\\\\\boxed{u_{20}=u_1+19*r=30}\\[/tex]
The value of the 20th term of the arithmetic series will be 30
What is arithmetic progression?An arithmetic progression or arithmetic sequence is a sequence of numbers such that the difference between the consecutive terms is constant.
Un = u₁+(n-1) x r
u₄ = u₁ +(3 x r)=6
u₆ = u₁ +5r
u₆²=u₁²+10ru₁+25r²+18=11u₁+55r
Sn= u₁+u₁+r+u₁+2r+.............u₁+10r= (11 x u₁) +55 r
4r²+2r-12=0
2r²+r-6=0
r=3/2
u₁=6-3r=3/2
u₂₀=u₁+(19 x r)= 30
Hence the value of the 20th term of the arithmetic series will be 30
To know more about arithmetic progression follow
https://brainly.com/question/6561461
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He’s asking which number is not supposed to be there
Answer:
65
Step-by-step explanation:
They all between 9
Answer:
the answer is 65......
A woman deposit $600 into an account that pay 5 1/4% interest per year. How much interest will she recieve in one year ?
Answer:
$31.5
Step-by-step explanation:
Intrest = P. A. * Intrest Rate * Time
Intrest = 600 * 5.25 /100 = 31.5
42. How many solutions does this system of
equations have?
3x + 4y= 7
-3x – 4y = 7
A) 0
B) 1
C) 2
D) Infinite
Answer:
[tex]\Large \boxed{\mathrm{A) \ 0 }}[/tex]
Step-by-step explanation:
3x + 4y = 7
-3x - 4y = 7
Add both equations.
0x + 0y = 14
0 = 14
There are no solutions.
Answer:
A) 0
Step-by-step explanation:
Adding both equations.
0 + 0 = 14
0 = 14 (no solutions)
Help pls need work shown
Answer:
1.) P = 8g + 50
2.) Find the attached file for the graph.
Step-by-step explanation:
Let the profit = P
And g = good sold.
Given that each yo-yo sells for $8.00
The rate or the slope of the equation will be 8
Also, it is given that they must pay a clerk $50.00 a day to sell them. A flat rate of 50 dollars is an intercept of the equation.
Using the general linear equation of
Y = mX + C
The equation for the profit the store will make in a day will be.
P = 8g + 50
Please find the attached file for the graph
luis almuerza 1/3 de una pizza y juan 2/5 de la misma si deciden distribuirse el resto de la pizza en partes iguales determina que fraccion le tocaria a cada uno
Answer:
A cada uno le toca:
2/15
del total de la pizza.
Step-by-step explanation:
1/3 + 2/5 = 5 / 15 + 6 / 15 = 11/15
los dos, inicialmente, han almorzado
11/15
de la pizza.
Si el resto lo dividen en dos partes:
15/15 - 11/15 = 4/15
el resto es de 4/15
al dividir este resto entre los dos:
(4/15) / 2 = 4/(15*2) = 4/30 = 2/15
A cada uno le tocarían:
2/15
del total de la pizza
1. Calculate the amount of gallons needed to fill the pool shown below.
Answer:
25,070 gal
Step-by-step explanation:
will make it simple and short.
vol = ( a + b ) * h/2 times the depth
vol = (8 + 3.5) x (35/2) x 20 = 4025 cu. ft. ---------->>> then convert to gal.
6.2288 gal
vol = 4025 cu.ft. x ----------------- = 25,070 gal
1 cu.ft.
3/2x + 7/2 = 2x what is the solution to the equation
Answer:
x=7
Step-by-step explanation:
3/2x + 7/2 = 2x
Subtract 3/2x from each side
3/2x -3/2x + 7/2 = 2x-3/2x
7/2 = 2x -3/2x
Get a common denominator
7/2 = 4/2x - 3/2x
7/2 = 1/2 x
Multiply each side by 2
7/2 *2 = 1/2x*2
7 =x
Answer:
x=7
Step-by-step explanation:
im smart
pls help, and explain. will give brainliest
Answer:
10.28
Step-by-step explanation:
Using ratio
12 : 9
8 :x
Crose multiple
12x = 72
Make x subject formula
x = 10,28