Slope = change in Y / change in x
Slope = (-7 - 2) / (-3 - -3)
Slope = -9/0
Because the change in x = 0, the slope is undefined.
The answer is the slope is undefined.
Looking for the answer to this
Given system of linear equations are ,
x + y = 2 -3x + y = 2And we need to find the Solution of the linear equation . So let's Firstly number the equations .
[tex]\large{\red{\frak{ Given}}}\begin{cases} \sf x + y = 2\qquad ..........(i) \\\\\sf -3x + y = 2 \qquad ..........(ii) \\\end{cases}[/tex]
→ Multiplying equⁿ (i) by 3 ,
=> 3 ( x + y ) = 2*3
=> 3x + 3y = 6
→ Adding the two equations ,
=> 3x + 3y -3y + y = 6 + 2
=> 4y = 8
=> y = 8/4
=> y = 2
→ Put y = 2 in (i) ,
=> x + y = 2
=> x + 2 = 2
=> x = 2- 2
=> x = 0
★ Hence the required solution is ( 0 , 2 ) .Write a polynomial in standard form with the zeros –4, 0, 1, and 4.
Answer:
uhhm
Step-by-step explanation:
....
The required polynomial in standard form with zeros –4, 0, 1, and 4 is x⁴- x³ - 16x²+16x
Polynomial functions are functions that have a leading variable of 3 and above.
Given the zeros of a polynomial as -4, 0, 1, and 4, their corresponding factors will be:
(x+4)), x-0, x-1 and x - 4
To get the polynomial function required, we will take the product of the factors as shown:
= x(x-1)(x+4)(x-4)
= (x²-x)(x²-4²) (Note that (x+4)(x-4) is from different of two square)
f(x)= x⁴-16x²-x³+16x
Rearranging
f(x) = x⁴- x³ - 16x²+16x
Hence the function x⁴- x³ - 16x²+16x gives the required polynomial in standard form.
Learn more here: https://brainly.com/question/14263896
A race-car is driving counter-clockwise on a circular track with a radius of 1.9 miles. The car starts at the 3 o'clock position and travels at a constant speed of 85.5 miles per hour.
What distance (in miles) has the race-car traveled if the car has swept out an angle of 212 degrees?
_____miles
What is the measure of the angle swept out by the car (in radians) if the car has traveled 4.9 miles?
_____radians
Define a function, h, that gives the race-car's distance above the horizontal diameter of the track (in miles) in terms of the number of hours since the race-car started driving, t.
Answer:
The answer is below
Step-by-step explanation:
The car is moving in a circular track with a radius of 1.9 miles. The distance covered by the car if the track is revolved once = 2π * radius of the track.
a) Since the car has swept out an angle of 212 degrees, the distance covered by the race car = [tex]\frac{212}{360}*2\pi(1.9)=7.03 \ miles[/tex]
b) If the car traveled 4.9 miles, the angle swept out (θ) is:
[tex]4.9= \frac{\theta}{360} * 2\pi r\\\\\theta=\frac{4.9}{2\pi (1.9)}*360 \\\\\theta=147.76^o=147.76^o*\frac{\pi}{180} \\\\\theta=2.58\ rad[/tex]
c) h = distance covered, t = time in hourss.
Hence:
h = 85.5t
The race-car's motion round the track is a repeating motion that can be
described by a sinusoidal function.
The correct responses are;
Distance travelled when the car swept an angle of 212° ≈ 7.03 milesIf the car has travelled 4.9 miles, the angle swept out, θ ≈ 2.58 radiansThe function is; [tex]\underline{h(t) = 1.9\cdot sin(45\cdot t)}[/tex].Reasons:
Known parameters are;
Radius of the track, r = 1.9 miles
Point the car starts = 3 O'clock
Speed of the car = 85.5 mph
Required:
Distance swept out when the car traveled an angle of 212°.
Solution;
Distance of one complete turn = 2·π·r
Angle of one complete turn = 360°
Therefore, at 212°, we have;
[tex]\dfrac{212^{\circ}}{360^{\circ}} \times 2 \times 1.9 \times \pi \approx 7.03[/tex]
Distance travelled when the car swept an angle of 212° ≈ 7.03 milesRequired:
The measure of the angle swept out by the car if the car has travelled 4.9 miles.
Solution;
Let, θ represent the angle, we have;
[tex]\dfrac{\theta}{2 \cdot \pi} \times 2 \times 1.9 \times \pi \approx 4.9 \ miles[/tex]
We get;
[tex]{\theta} = \dfrac{4.9 \ miles}{2 \times 1.9 \ miles \times \pi } \times 2\cdot \pi \approx 2.58 \ radians[/tex]
If the car has travelled 4.9 miles, the angle swept out, θ ≈ 2.58 radiansRequired:
The function, h, that gives the distance of the above the horizontal
diameter of the track (in miles) in terms of the number of hours since the
race-car started driving, t.
Solution;
The function that gives the car height can be presented as follows;
The angular velocity, ω = [tex]\dfrac{v}{r}[/tex]
Therefore;
[tex]\omega = \dfrac{85.5 \ mph}{1.9 \ miles} = 45 \ rad/hour[/tex]
The general form of the sinusoidal function is h = A·sin[k·(θ - b)] + c
Therefore, we get;
h = 1.9·sin[k·(θ - b)] + c
The period, T = 2·π/ω = 2·π/k
Therefore, given that ω·t = θ, we get;
h = 1.9·sin[ω·t - b] + c = 1.9·sin[45·t - b] + c
The vertical sift, c, and the horizontal shift, b, can both be taken as zero,
given that the sin(0) = 0, therefore;
h = 1.9·sin[0] + c = c = 0, such that the at the start, t = 0, the car is at a
distance of h = 0 above the horizontal line.
The function, h, that gives the distance of the car above the
horizontal track, in terms of the number of hours since the car started
driving, t, is therefore;
[tex]\underline{h(t) = 1.9\cdot sin(45\cdot t)}[/tex].Learn more here:
https://brainly.com/question/16014064
The diagram shows as scale drawing of a playground
The scale of the drawing is 1:500
Answer:
45
Step-by-step explanation:
3+1.5+3+1.5=9
9*500=4500
4500/100=45
{ x is an odd whole number less than 9}
This may be more complicated than it looks but here are the odd numbers before nine:
1, 3, 5, 7
Hope this helps!
A spinner contains the numbers 1 through 50. What is the probability that the spinner will land on a number that is not a multiple of 7?
Give your answer in fraction form.
Answer:
the answer to the question is
Step-by-step explanation:
43/50
Answer: the answer is 43/50
help Jake is a bully. He likes to pick on little kids, but they don’t have a way to defend themselves. They complain to teachers about Jake and tells on him.
Answer:
cool
Step-by-step explanation:
Answer:
tells i think
Step-by-step explanation:
it would be tattling not telling..righttttt?????
A. Add the following integers.
11.7 + 9 =
12. - 9+ (- 10 ) =
13. (- 14 ) + 5 =
14.9+(-14) =
15.-5+ (-8)=
Answer:
11. 16
12. -19
13. -9
14. -5
15. -13
Step-by-step explanation:
. Lightning Lucy’s burnable CDs are on sale this
month for 10% off regular prices. If a pack of 10
blank CDs normally costs $15, how much do you
save per CD?
Original unit cost of CDs = $_________ per CD
10% of original cost = $_________
Original cost minus the 10% discount = $_______
Discounted unit cost of CDs = $_______ per CD
Subtract the two unit costs to find
how much saved per CD = $_________
Answer:
Original Cost = $1.50 per CD
Discount = $1.50
Discounted Cost = $13.50
Discounted Cost = $1.35 per CD
You Saved = $0.15 per CD
Step-by-step explanation:
$15/10CDs = $1.50
$15x10% = $1.50
$15-$1.50 = $13.50
$13.50/10CDs = $1.35
$1.50-$1.35 = $0.15
A pastry bag full of frosting forms a cone with the dimensions shown. Find the volume of frosting in the pastry bag.
Answer:
kajhfsdbbcbb,bnmcxbvljhhjw eutiugvawgygewfcufbuicmauigpuygpvghsfBgeilvlhkdb;bwgvPWIHITVNUAHUEIGEOYUGE8GPUWIEHOIgorucrugc t rueagurwWUGHCRWGCugpgpuyGPGCPGUGGUyguUYFUYGUOYUOYGOUYGOFUGIcefgyxsnjdfryugvouscbaknqpiuvhrwklemfnvvvvvvvr4uhui4jqkwserupwehdnjqhbgiwebduudirbgdqfwaiqjnweisdkrfmtguiwdnnnnnnnnnnnnnnerijjjjjjj
Step-by-step explanation:
For what value of x do the expressions 2x +3 and 3x -6 have the same value?
Answer:
9
Step-by-step explanation:
2x+3=3x-6
3+6=3x-2x
9=x
Answer:
x= 9
Step-by-step explanation:
hello :
2x +3 = 3x -6
2x-3x=-6-3
-x= -9
so : x= 9
en la librería habían 680 libros para el comienzo de clase pidieron a la editorial 125 más Cuántos libros hay ahora en total para vender
Answer:
Que? No se.
Step-by-step explanation:
Answer:
805
Step-by-step explanation:
The area of the four walls of a room is 156 m2. The breadth and height of the room are 8 m and 6 m
respectively. Find the length of the room.
WIll GIVE BRAINLYEST TO WHOEVER ANSWERS BOTH QUESTIONS FIRST CORRECTLY
Answer:
1. 8.4 in 2. 33.6
Step-by-step explanation:
I need help solving 4th grade math
Answer:
Whats the math?
Step-by-step explanation:
sir/miss please add something to answer or this can be reported so remake this add something then we will answer
For the following integral, give a power or simple exponential function that if integrated on a similar infinite domain will have the same convergence or divergence behavior as the given integral, and use that to predict whether the integral converges or diverges. Note that for this problem we are not formally applying the comparison test; we are simply looking at the behavior of the integrals to build intuition.
∫(x+5)/x^3+7x+5 dx
Answer:
hello your question is incomplete attached below is the complete question
answer :
for I1 = [tex]\frac{1}{x^2} + \frac{4}{x^3}[/tex] The integral converges
for I2 = [tex]\frac{2x + 6}{2(x^2 + 6x + 4 )}[/tex] The integral diverges
for I3 = [tex]\frac{1}{x^2}[/tex] The integral converges
for I4 = 1 The integral diverges
Step-by-step explanation:
The similar integrands and the prediction ( conclusion )
for I1 = [tex]\frac{1}{x^2} + \frac{4}{x^3}[/tex] The integral converges
for I2 = [tex]\frac{2x + 6}{2(x^2 + 6x + 4 )}[/tex] The integral diverges
for I3 = [tex]\frac{1}{x^2}[/tex] The integral converges
for I4 = 1 The integral diverges
attached below is a detailed solution
-5 + 8 • -7
help lols
Answer:
Step-by-step explanation:
-5 + (8 x -7)
using PEMDAS, (8 x -7) = -56
so -5 + -56 = -61
Please help me out here, I’ve been reposting the same questions and have not seen people not answer mine. :( just please i will give u brainiest
Answer:
There are infinite solutions because they are the same equation
2D + 1G = 12
and
4D + 2G = 24 (divide by 2) 2D + G = 12
2D + 1G = 12 is the same as 2D + 1G = 12
m=n give reason
2)x=y. give reason
3) y+n = x+m give reason
Answer:
[tex]m = n[/tex] --> Corresponding angle
[tex]x = y[/tex] --> Vertically opposite
Step-by-step explanation:
Given
The attachment
Required
State the reason for the given statements
m = n
m and n are corresponding angles.
So:
[tex]m = n[/tex]
x = y
x and y are vertically opposite angles
So:
[tex]x = y[/tex]
[tex]y + n = x + m[/tex]
In (b)
[tex]x = y[/tex]
Add m to both sides
[tex]x + m = y +m[/tex]
In (a) [tex]m = n[/tex]
So, substitute n for m on the left hand side
[tex]x + n = y + m[/tex]
help me pls i need help
Answer:
B
Step-by-step explanation:
:-)
Answer:
B
Step-by-step explanation:
This problem is to compare the value of the two numbers. Obviously, 0.21>0.012
What is true about (0, 5)
Answer:
0/5 equals zero as anything divided by zero gives zero. However 5/0 is an undetermined form which gives infinity.
Step-by-step explanation:
Tara earned $320 this month and saved $96. Write a ratio statement to describe how much Tara saved versus earned.
Answer:
3: 10
Step-by-step explanation:
saved: earned
96: 320
simplify by dividing both sides by the same thing just like a fraction:
96: 320
24: 80
6: 20
3: 10
The Patterson's are saving up to go on a family vacation in 2 years. They invest $2900 into an account with an annual interest rate of 1.14% compound daily. How much is earned on the investment after 2 years?
In a relation, the input values can also be referred to as the __________?
Answer: The answer for the blank is domain.
Step-by-step explanation: Domain is the input of a function, and range is the output.
condition (0°≤A≤360°)
sin5A+sin3A=cos2A-cos6A
Answer:
sin5A+sin3A=cos2A-cos6A
2SIN((5A+3A)/2)COS ((5A-3A)/2)=2SIN((2A+6A)/2)SIN((2A-6A)/2)
[tex] \frac{2 \sin(4a )cosa}{ - 2 \sin(4a) \sin(2a) } = 1[/tex]
[tex] - \frac{ \cos(a) }{2 \sin(a) \cos(a ) } = 1[/tex]
-1/2sinA=1
-1/2=sinA
sinA=sin(180+30),sin(330)
:.A=210,330
(I SUCK AT MATHS)
If 15 metres of rope costs £22.50, how much would 12 metres cost?
Answer:
$18
Step-by-step explanation:
22.50×15=1.50
1.50×12=18
the sum of a number and its inverse equals 3 29/52, write the mathematical expression
Answer:
Step-by-step explanation:
The sum of a number and its inverse is 3 29/52. Find the number?
x+1/x=329/52
x+1/x-329/52=0
solve the fraction
(
using the quadratic formular
Answer:
Step-by-step explanation:
the yellow is the glow in the dark kind
find the remainder when x³-2x²+4x-3 is devided by x-2
Answer:
x²+4
Step-by-step explanation:
Find the value of X.
A. 9
B. 18
C. 4
D. 14
Answer:
C is the answer
Step-by-step explanation:
10x=180-140
so,x=40÷10=4answer
Jayvion took out a simple interest loan to pay for some new furniture. If the loan was for 5 years at 12% and he paid $960 interest, how much money did he borrow?
Answer:
$544.73
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Simple Interest Rate Formula: [tex]\displaystyle A = P(1 + r)^t[/tex]
A is final amountP is principle amountr is ratet is timeStep-by-step explanation:
Step 1: Define
A = 960
r = 0.12
t = 5
Step 2: Solve for P
Substitute in variables [Simple Interest Rate Formula]: [tex]\displaystyle 960 = P(1 + 0.12)^5[/tex][Interest] (Parenthesis) Add: [tex]\displaystyle 960 = P(1.12)^5[/tex][Interest] Evaluate exponents: [tex]\displaystyle 960 = P(1.76234)[/tex][Interest] [Division Property of Equality] Isolate P: [tex]\displaystyle 544.73 = P[/tex][Interest] Rewrite: [tex]\displaystyle P = 544.73[/tex]