y = -4x - 6 and -4x - y - 6 = 0 are both representations of the same linear equation.
The first equation, y = -4x - 6, is in slope-intercept form, where y is the dependent variable, x is the independent variable, -4 is the slope and -6 is the y-intercept. This means that when you graph this equation, the slope of the line will be -4 and the y-intercept will be -6.
The second equation, -4x - y - 6 = 0, is in standard form, where the variables are on one side of the equation and the constants are on the other side. To get this equation, you can move the y term to the other side by adding y to both sides, and then move the constants to the other side by adding 6 to both sides.
Both equations represent the same line. They are just in different forms, one is in slope-intercept form and the other is in standard form.
Answer:
infinite number of solutions
Step-by-step explanation:
y = - 4x - 6 → (1)
- 4x - y - 6 = 0 → (2)
substitute y = - 4x - 6 into (2)
- 4x - (- 4x - 6) - 6 = 0 ← distribute parenthesis and simplify left side
- 4x + 4x + 6 - 6 = 0
0 = 0 ← true statement
when both sides have the same numeric value
this indicates the system has an infinite number of solutions.
entre 4 grupos de un colegio recolectaron 200kg de papel para reciclarlo.el primer grupo recogio 60 1/4 kg el segundo 13 1/5 y el tercero 45,93 kg cuanto recogio el cuarto grupo?
Answer:
segun yo es asi no confies mucho en mi
Step-by-step explanation:
200 kg total de papel
primer grupo= 60kg
segundo= 13kg
tercero= 45.93
cuarto= x
si sumamos el total recolectado por los tres primero grupos
60+13+45.93
esto nos da
118.93
si en total se recgio 200kg de basura y tenemos que los tres primeros grupos recogieron 118.93, entonces solo queda restar el total menos lo recolectado
200-188.93= cuarto grupo
cuarto grupo=81.07kg
Salma, joe, and alan sent a total of 106 text messages during the weekend, salma sent 9 fewer messages than alan. Joe sent 3 times as many messages as alan. How many messages did they each send?
Answer:
Salma, joe, and alan sent 14, 69, and 23 text messages respectively
Step-by-step explanation:
Given that Salma, joe, and alan sent a total of 106 text messages during the weekend, it means that
s + j + a = 106 where s, j, and a are the number of messages sent by Salma, joe, and alan respectively
Given salma sent 9 fewer messages than alan
s = a - 9
Joe sent 3 times as many messages as alan
j = 3a
hence
a - 9 + 3a + a = 106
5a - 9 = 106
5a = 106 + 9
5a = 115
Divide both sides by 5
a = 115/5
= 23
s = 23 - 9
= 14
j = 3* 23
= 69
Please help asap I will give you brainliest Find the area of the shaded region
Answer:
36
Step-by-step explanation:
Area of total region = 12 ×5
=60
Area of the small region = 8×3
=24
Area of shaded region = Area of Total region - area of small region
= 60 - 24
= 36
5) 15 – 3(x + 2) ??????????????????????
Answer:
-3x + 9
Step-by-step explanation:
Solve the triangle. Round decimal answers to the nearest tenth.
Answer:
x = 5.7 y = 9.4
m∠H = 31°
Step-by-step explanation:
cos of an angle = adjacent side/hypotenuse
and sine of an angle = opposite side/hypotenuse
cos 59 = x/11 and sin 59 = y/11
11 cos 59 = x 11 sin 59 = y
x = 5.7 y = 9.4
m∠H = 90 - 59 = 31°
You need to memorize the definitions of all the trig functions and then these types of problems will be easy for you.
[tex]x=5.7[/tex], [tex]y=9.4[/tex] and ∠[tex]H[/tex][tex]=31[/tex]° is the solution of the triangle.
What is trigonometric ratio?
Trigonometric ratios are the ratios of the length of sides of a triangle. These ratios in trigonometry relate the ratio of sides of a right triangle to the respective angle.
The basic trigonometric ratios formulas are given below :
sin θ = Perpendicular/Hypotenuse
cos θ = Base/Hypotenuse
tan θ = Perpendicular/Base
sec θ = Hypotenuse/Base
cosec θ = Hypotenuse/Perpendicular
cot θ = Base/Perpendicular
What is the sum of angle of triangle?The sum of angles of a triangle equals the straight angle (180 degrees, π radians, two right angles, or a half-turn)
According to question,
In Δ FGH ,
∠G = 59°
Hypotenuse of triangle = 11
Base of triangle according to the ∠G = x
Perpendicular of triangle according to the ∠G = y
Now,
Cosθ = [tex]\frac{Base}{Hypotenuse}[/tex]
[tex]Cos[/tex] 59° = [tex]\frac{x}{11}[/tex]
[tex]x[/tex] [tex]=11[/tex]× [tex]0.515[/tex] ( Cos59° = [tex]0.515[/tex] )
x [tex]=5.7[/tex]
Sinθ = [tex]\frac{Perpendicular}{Hypotenuse}[/tex]
[tex]Sin[/tex] [tex]59[/tex]° [tex]=\frac{y}{11}[/tex]
[tex]y=11[/tex] * 0.857
y [tex]=9.4[/tex]
According to the sum of angle of triangle
∠F + ∠G +∠H = 180°
90° + 59° + ∠H = 180°
∠H = 180° - 90 -59
∠H = 31°
Hence,[tex]x=5.7[/tex], [tex]y=9.4[/tex] and ∠[tex]H[/tex][tex]=31[/tex]° is the solution of the triangle.
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what is the appropriate unit of measure for the mass of a steel cabinet?
Ayça, bir masanın uzun kenarını karışıyla 12 karış olarak ölçmüştür. Karışı 2 cm daha uzun olsaydı
masanın uzun kenarını 1 karış daha az olarak ölçecekti.
Buna göre Ayça'nın karışıyla ölçmek istediği masanın uzun kenarı kaç santimetredir?
Answer:
sen türksün be ne işin var senin burada
solve the problem: -10 + +10 =
Answer:
0
Step-by-step explanation:
-10+ + 10
-10+10
0
Suppose 65% of jurors come to a just decision. In a jury of ten people, what is the probability more than half come to a just decision? 0.7515 0.2485 0.0949 0.8374 0.9051
Answer: 0.7515
Step-by-step explanation:
Binomial probability formula:
[tex]P(X=x)=\ ^nC_xp^x(1-p)^{n-x}[/tex] , where
n = total number of trials.
p= probability of success in each trial.
x= Number of successes.
Let x be a binomial variable that represents the number of jurors come to just decision.
p= 0.65
n= 10
Required probability= [tex]P(x>5)=P(x=6)+P(x=7)+P(x=8)+P(x=9)+P(x=10)\\\\ =\ ^{10}C_6(0.65)^6(0.35)^4+ ^{10}C_7(0.65)^7(0.35)^3+ ^{10}C_8(0.65)^8(0.35)^2+ ^{10}C_9(0.65)^9(0.35)^1+^{10}C_{10}(0.65)^{10}(0.35)^0\\\\=0.75149550912\approx0.7515[/tex]
Hence, the probability more than half come to a just decision = 0.7515
Chris needs to recover his drumhead. The drumhead's circumference is 40.82 inches. What is the area of the drumhead that needs to be covered? 1. 6.5 to the power of 2 (inches) 2. 132.67 to the power of 2 (inches) 3. 128.17 to the power of 2 (inches) 4. 64.09 to the power of 2 (inches)
Answer: 132.67 to the power of 2 (inches)
Step-by-step explanation:
The circumference of a circle is given as 2πr. Therefore, in his case,
2πr = 40.82
2 × 3.142 × r = 40.82
6.284r = 40.82
radius = 40.82/6.284
radius = 6.5 inches
Area will now be:
= πr²
= 3.142 × 6.5²
= 3.142 × 42.25
= 132.75 inches²
Therefore, the closest answer will be 132.67 to the power of 2 (inches).
Is 30% of 70 is the same as 3/7 of 70?
Answer:
No
Step-by-step explanation:
30% is the same as 3/10
3/7 is about the same as 43%
There is a difference among the percentage so no it's not correct
Yes, the value 30% of 70 is the same as 3/7 of 70.
What is an expression?Expression in maths is defined as the relation of numbers variables and functions by using mathematical signs like addition, subtraction, multiplication, and division.
To show this mathematically, we can start by calculating 30% of 70:
30% of 70 = (30/100) x 70
= 0.3 x 70
= 21
Now, let's calculate 3/7 of 70:
3/7 of 70 = (3/7) x 70
= 30/100 x 70
= 0.3 x 70
= 21
As we can see, both calculations give us the same result of 21. Therefore, 30% of 70 is the same as 3/7 of 70.
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Drag each number to the correct location on the table. Classify the real numbers as rational or irrational numbers. Please Help I need the answer today!
Answer:
did you ever figure out what the answer was it was because working on this and don't know what to do
Step-by-step explanation:
Answer:
Rational Numbers: √400 | -5/250 | 5.012121212...
Irrational Numbers: √1000 | ^3√30 | 0.01562138411...
What's the slope of the line
Answer:
-1/2
Step-by-step explanation:
first point is 1,-4
second point is 5,-6
Slope is y2-y1/x2-x1
-6 - -4 / 5 - 1
-2/ 4
-1/2
Which point satisfies the system of equations y=3x-2 and y=-2x+3?
8
7
B
6
C
5
4
D
9 8 7 6 5 4 3 -2 -1
1
2 3 4 5 6 7
B
9x
-2
-3
4
-5
-5
-7
-9
ΟΑ. Α
ОВ.
B
Occ
ODD
Answer:
27633883532
2732937293739
839364923274693
93730347395393649364
027402649249364
026393473849337
92739262926382
193
19632963286392
92539253925292
9279253285292
2283792
88248935392
926263925392
7363854276393
233
Which side of DEF is the longest?
A. DE
B. EF
C. DF
D. Cannot be determined
[tex] \huge {\tt{Answer:}} [/tex]
A. DE
Option (A) DE side of the triangle DEF is the longest side.
What is a triangle?A triangle is a flat geometric figure that has three sides and three angles. The sum of the interior angles of a triangle is equal to 180°. The exterior angles sum up to 360°.
For the given situation,
The diagram shows the triangle with angles ∠D = 65°, ∠E = 42°.
The sum of the interior angles of a triangle is equal to 180°.
⇒ [tex]\angle D+\angle E+\angle F=180[/tex]
⇒ [tex]65+42+ \angle F=180[/tex]
⇒ [tex]\angle F=180-107[/tex]
⇒ [tex]\angle F=73[/tex]
The side corresponding to the ∠D is EF, ∠E is DF, ∠F is DE
The angle which is greater has the longest side.
⇒ [tex]\angle F > \angle D > \angle E[/tex]
⇒ [tex]DE > EF > DF[/tex]
Thus the side DE has the longest length.
Hence we can conclude that option (A) DE side of the triangle DEF is the longest side.
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Find the slope of the line that passes through (4,-5) and (-2,9)
a -2/3
b 5/3
c -7/3
d 2
Answer:
C) -7/3
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(9-(-5))/(-2-4)=(9+5)/-6=14/-6
simplify -14/6 to -7/3
i need help ASAP 6th grade work!!!!! HELP
Answer:
y=7miles
Step-by-step explanation:
The total perimeter is 21 miles and we know two sides of the triangle are 7 miles, or 14 miles together.
We need to know the one other side of the triangle, so we can subtract the 14 miles we know from the total 21 miles.
21-14=7miles
Answer:
y=7 mi
Step-by-step explanation:
If you know that each side of this triangle is 7 and they are each side is the same length, you can make an educated guess that the answer is 7. If you need An easier method 7x3=21. a triangle has 3 sides so your answer would be 7
In a game, Theodore received a handful of coins (pennies, nickels, dimes, and quarters) as a prize. When he got home, he found that he had managed to get $2.09 in change. He noticed that he had three times as many pennies as dimes, one more nickel than dimes, and twice as many.quarters as dimes. How many quarters did Theodore get in his prize? F. 4 G. 5 9 'H J. 7 K. 8
Answer:
6
Step-by-step explanation:
https://web2.0calc.com/questions/algebra_69756
Theodore get 6 quarters in Prize.
What is Algebra?A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.
Variables are the name given to these symbols because they lack set values.
In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.
Given:
let p the number of pennies, d be the number of dimes, n be the number of nickels and q be number of quarters.
So, the expressions are
p = 3d
n = d+1
= 5(d+1)
d = 10d
and, q = 2d
= 25 (2d)
and, the total is = $209
= 209
Then,
3d + 5(d+ 1) + 10d +25 ( 2d) = 209
68d + 5 = 209
d = 3
Thus, the number of quarters = 2d = 6 quarters.
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f(x) = 5x-3
slove this its is Evaluate functions
Answer:
f(5) = 22
Step-by-step explanation:
When we want to solve for f(x) = 5x - 3 when x is 5, all we have to do is plug in 5 as x into the equation.
f(x) = 5x - 3
f(5) = 5(5) - 3
5 * 5 = 25
25 - 3 = 22
f(5) = 22
I hope this helps you!
Escribe 2 ejemplos que contengan universo, población y muestra. Pueden ser de artículos de tu agrado como: celulares, motos, consolas de juegos, etc.
Responder:
Teléfonos móviles :
Universo - -> {todos los teléfonos móviles} - unidad experimental
Población - -> {Samsung, tecno, LG, iPhone, Motorola, Huawei, .....} - -> valores variables de unidades experimentales
Muestra - - -> {Samsung, tecno, iPhone} - selección aleatoria de datos de población
Países europeos :
Universo - -> {todos europeos} - unidad experimental
Población - -> {Inglaterra, Noruega, Turquía, Italia, Francia, Holanda, .....} - -> valores variables de todos los países europeos
Muestra - - -> {España, Alemania, Polonia} - selección aleatoria a partir de datos de población
Explicación paso a paso:
Haciendo distinción entre universo, población y muestra. Univerae y la población se describen como sinónimos en algún texto. Sin embargo, otros textos estadísticos hicieron diferencias sutiles entre ambos; con el universo que se dice que contiene todas las unidades experimentales. ; siendo población el conjunto de valores de la variable. Sin embargo, podemos asumir de manera concluyente que ambos son sinónimos, ya que de ellos se extrae una muestra que es un subconjunto de un conjunto de datos más grande (población).
❄️✨⚡️WILL MARK BRAINLIEST⚡️✨❄️
b. -10 each time
c. The height of the slide/ the height at the top of the slide
d. 6 seconds. when Kirk is on the ground ( 0 feet off the ground), 6 seconds have past. You can see this in the point (6,0)
What is the slope of the line that passes through the points (-2, 2), and (-4, -2)
Answer:
Step-by-step explanation:
(-2 - 2)/(-4 + 2)= -4/-2= 2 is the slope
y - 2 = 2(x + 2)
y - 2 = 2x + 4
y = 2x + 6 is the equation
Answer:
The slope is 2
Step-by-step explanation:
Hope this helps！
need help solving..........
Answer:
Angle A always equal angles T
the first answer
Answer: sry i dont know
Step-by-step explanation:
please help solve this but don't spam ( Transposition method )
Answer:
x = -⁷/9
Step-by-step explanation:
[tex] \frac{9x - 8}{3} = \frac{9x - 3}{2} [/tex]
Multiply both sides by 3
[tex] \frac{9x - 8}{3}*3 = \frac{9x - 3}{2}*3 [/tex]
[tex] 9x - 8 = \frac{3(9x - 3)}{2} [/tex]
Multiply both sides by 2
[tex] 2(9x - 8) = \frac{3(9x - 3)}{2}*2 [/tex]
[tex] 2(9x - 8) = 3(9x - 3) [/tex]
[tex] 18x - 16 = 27x - 9 [/tex]
Subtract 27 from each side
18x - 16 - 27x = 27x - 9 - 27x
-9x - 16 = -9
Add 16 to both sides
-9x - 16 + 16 = -9 + 16
-9x = 7
Divide both sides by -9
-9x/-9 = 7/-9
x = -⁷/9
The cost of 2 pounds of coffee is $17.95. To the nearest dollar, what is the cost of 5 pounds of coffee?
Answer:
$45
Step-by-step explanation:
17.95÷2 = 8.975
8.975 × 5 = 44.875
Round to $45
Answer:
$45
Step-by-step explanation:
17.95/2 would be 8.975
then 8.975 times 5 would be 44.875
rounding it to the dollar would be about 45 dollars
hope this helps
help plssss i give brainliest
Answer:
(7, - 2 )
Step-by-step explanation:
Given the 2 equations
x = - 3y + 1 → (1)
- 3x - 3y = - 15 → (2)
Substitute x = - 3y + 1 into (2)
- 3(- 3y + 1) - 3y = - 15 ← distribute and simplify left side
9y - 3 - 3y = - 15
6y - 3 = - 15 ( add 3 to both sides )
6y = - 12 ( divide both sides by 6 )
y = - 2
Substitute y = - 2 into (1) for corresponding value of x
x = - 3(- 2) + 1 = 6 + 1 = 7
solution is (7, - 2 )
I NEED HELP ASAP PLEASE!!! I'LL GIVE BRAINLIEST FOR THE CORRECT ANSWER!!!
Answer:
x = 3
y = 4
Step-by-step explanation:
Please let me know if you want me to write an explanation for my answer :)
could u help me that would be really nice i have been going trow a hard time
Answer:
38
Step-by-step explanation:
38 / -2 = -19
-19 + 7 = -12
Five decreased by twice a number
Answer:
5-2x
Step-by-step explanation:
Plz solve this question
Find the measure of unknown angles
Answer:
1360
Step-by-step explanation:
I know because I get all a's but then again I might be wrong I didn't take my time so sorry
Answer:
x = 110°
Step-by-step explanation:
∠ QRS = ∠ YRT = 110° ( vertically opposite angles )
∠ PQR = 180° - 120° = 60° ( adjacent angles )
The sum of the interior angles of a quadrilateral = 360°
Sum the angles and equate to 360°, that is
110 + 60 + x + 80 = 360
250° + x = 360° ( subtract 250° from both sides )
x = 110°