Answer:
The single equation is [tex]y = 0[/tex]
Step-by-step explanation:
We are given the following system of equations:
[tex]x + y = 0[/tex]
[tex]x + 2y = 0[/tex]
From the first equation:
[tex]x = -y[/tex]
Replacing in the second equation:
[tex]-y + 2y = 0[/tex]
[tex]y = 0[/tex]
The single equation is [tex]y = 0[/tex]
4x+9/y+11=0 and 6/y -3x=8
9514 1404 393
Answer:
(x, y) = (-2 12/17, -51)
Step-by-step explanation:
Here is the answer to ...
[tex]4x+\dfrac{9}{y}+11=0\\\\\dfrac{6}{y}-3x=8[/tex]
If you mean something else, then parentheses are needed.
__
Let z = 1/y. Then the equations in general form are ...
[tex]4x+9z+11=0\\3x-6z+8=0[/tex]
The solution (cross multiplication method) is ...
x = (9·8 -(-6)·11)/(4(-6)-3·9) = 138/-51 = -2 12/17
z = (11·3 -8·4)/-51 = -1/51
y = 1/z = -51
The solution is (x, y) = (-2 12/17, -51).
Paul rolls a fair dice 132 times.
How many times would Paul expect to roll a three?
There are 6 numbers on the dice, rolling a 3 would be 1/6
Multiply total rolls by probability of getting a 3:
132 x 1/6 = 132/6 = 22
The answer: 22 times.
bobby drove 110 miles and his car used 5 gallons of gas. How many miles can he drive with 16 gallos of gas
Answer:
Bobby can drive 352 miles with 16 gallons of gas.
Step-by-step explanation:
110 miles uses 5 gallons of gas.To find how many miles can be driven with one gallon we divide 110 by 5.
110 ÷ 5 = 22
Therefore to find the amount of miles that can be driven with 16 gallons we multiply 16 × 22 = 352
b) In a survey of 200 families, 80 were found using 'A brand ton only, 75 were found using 'B' brand tea only and each family is using at least one of the two brands, (1) Draw a Venn diagram to illustrate the above information (i) How many families are using both brande? (111) How many families are using 'A' brand? (iv) How many families are using 'B' brand?
Answer:
The answer would be D
Step-by-step explanation:
I did the quiz
Step-by-step explanation:
n(u)=200
no(A)=80
no(B)=75
ii) Using both brand=200-80-75
=45
iii)n(A)=80+45
=125
iv)n(B)=75+45
=120
In a triangle ABC, if a=16m c=14m b=19m. Find the angles
Step-by-step explanation:
went to a calculator
it said
Angle ∠A = 55.543°
Angle ∠B = 78.28°
Angle ∠C = 46.177
(17)^ 3 *(289)^ -6 =(17)^ 2m - 1
Answer:
m = -4
Step-by-step explanation:
The given expression is :
[tex](17)^{3}\cdot(289)^{-6}=(17)^{2m-1}[/tex]
We need to find the value of m
We know that, 17² = 289
So,
[tex](17)^{3}\cdot(17^2)^{-6}=(17)^{2m-1}\\\\(17)^{3}\cdot(17)^{-12}=(17)^{2m-1}[/tex]
Also,[tex]x^ax^b=x^{a+b}[/tex]
So,
[tex]17^{3-12}=17^{2m-1}\\\\17^{-9}=17^{2m-1}\\\\\implies -9=2m-1\\\\-9+1=2m\\\\-8=2m\\\\m=-4[/tex]
So, the value of m is equal to -4.
if f(r)= 3.14 r^2 what is f(3)
Answer:
f(3) = 28.26
Step-by-step explanation:
Substitute r = 3 into f(r) , that is
f(3) = 3.14 × 3² = 3.14 × 9 = 28.26
A television screen measures 35 cm wide and 26 cm high. What is the diagonal measure of the screen?
Answer:
43.6 (approximately)
Step-by-step explanation:
Diagonal measures of the screen is,
√(35²+26²)
= √(1901)
= 43.6 (approximately)
Answered by GAUTHMATH
We calculate the dioglonal using the Pythagorean theorem
[tex]\displaystyle\ C^2=A^2+B^2=> C=\sqrt{A^2+B^2} \ then \\\\C=\sqrt{26^2+35^2} =\sqrt{1225+676} =\sqrt{1901} \approx43.6\\\\Answer : the \:diagonal \:\:length is \:\underline{43.6}[/tex]
y=-3x+5
5x-4y=-3
pls help
Hello!
[tex]\large\boxed{x = 1, y = 2}[/tex]
We can solve this system using substitution.
Since y = -3x + 5, we can substitute this into the following equation:
5x - 4(-3x + 5) = -3
Simplify:
5x - 4(-3x) - 4(5) = -3
5x + 12x - 20 = -3
Combine like terms:
17x - 20 = -3
Add 20 to both sides:
17x = 17
x = 1
Substitute to find y:
y = -3(1) + 5
y = -3 + 5
y = 2
Solution: (1, 2)
Answer:
(1,2) x=1; y=2
Step-by-step explanation:
We can plug the value of Y into the second equation like so:
[tex]5x-4(-3x+5)=-3\\5x+12x-20=-3\\17x=-3+20\\17x=17\\x=1[/tex]
Then we can plug the value of x into the first equation.
[tex]y=-3+5\\y=2[/tex]
(1,2)
Hope this helped! Please mark brainliest :)
Arrange the numbers as they appear from left to right on a horizontal number line.
2.85
-1.58
-2.5
-1.85
-2.57
-2.76
2.5
Answer:
-2.76, -2.57, -2.5, -1.85, -1.58, 2.5, 2.85
what is a square plus b square?????????????????
Answer:
c squared
Step-by-step explanation:
Answer:
C Squared
Step-by-step explanation:
Simplify: 4y2 + 5y + 2 + 8y2 + 4y + 5.
Answer:
12y² + 9y + 7
General Formulas and Concepts:
Algebra I
Terms/CoefficientsStep-by-step explanation:
Step 1: Define
Identify
4y² + 5y + 2 + 8y² + 4y + 5
Step 2: Simplify
Combine like terms (y²): 12y² + 5y + 2 + 4y + 5Combine like terms (y): 12y² + 9y + 2 + 5Combine like terms: 12y² + 9y + 7Answer:
12y² + 9y + 7
Step-by-step explanation:
4y² + 5y + 2 + 8y² + 4y + 5
Simplify :-
4y² + 5y + 2 + 8y² + 4y + 5
arranging like terms4y² + 8y² + 5y + 4y + 2 + 5
Combine like terms12y² + 9y + 7
PLS HELP(algebra 1)
solve -7 + 18(17h + 19)
Answer:
335+306h
Step-by-step explanation:
solve the brackets first by distributing 18 to 17h and 19
-7+306h+342
then group the like terms
-7+342+306h
335+306h
Find the measure of ∠AED for m∠BEC = 118
Answer: 118°
Step-by-step explanation:
What is the order of rotational symmetry of a regular pentagon?
Answer:
yeet
Step-by-step explanation:
urmom
What is the volume of the sphere in terms of pi?
V=
6 in.
Answer:
= 288π in2
Step-by-step explanation:
Volume of a sphere is given by;
V =(4/3)πr3
V = volume
r is radius
Therefore V = {(4/3) × π × (6^3)} in3
= 288π in2
help please please i beg
Answer:
6²
Ste㏒㏒㏑p-by-step explanation:
Answer:
[tex]x=-1[/tex]
Step-by-step explanation:
[tex]3^{x}+3^{x+2}=\frac{10}{3} \\=> 3^{x} + 3^{x}*3^{2}= \frac{10}{3} \\\\=> 3^{x} (1+9)=\frac{10}{3} \\=> 3^{x}=\frac{10}{3}:10\\=> 3^{x}=\frac{1}{3} \\ \\=> x=-1[/tex]
will make brainliest, please help
Which equation in slope-intercept form represents a line that passes through the point (5,−1) and is parallel to the line y=2x-7?
Answer:
y = 2x - 11
Step-by-step explanation:
y = 2x + b
-1 = 2(5) + b
-1 = 10 + b
-11 = b
Solve the equation and enter the value of d below. 6d + 7 d= 39
Answer:
d=3
Step-by-step explanation:
13d=39
d=39/13
d=3
Hello!
6d + 7d = 39 <=>
<=> 13d = 39 <=>
<=> d = 39 : 13 <=>
<=> d = 3 => 6 × 3 + 7 × 3 = 39
Good luck! :)
Find the inverse of the function y = x2 – 12
Answer: [tex]y=\sqrt{x+12}[/tex]
Step-by-step explanation:
I hope you mean y = x² - 12 and not y = 2x - 12.
You switch the y and x variables:
x = y² - 12
And solve for y:
x + 12 = y²
[tex]y=\sqrt{x+12}[/tex]
It would be great if someone helped me with this
Answer:
Step-by-step explanation:
They appear to be linear so that's easy enough to find out. What we are being asked is to find the equation represented by each table. Knowing that they are linear, we need the slope of each one and then the y-intercept of each one (each "one" being each table). Let's begin with the y-intercept. The y-intercepts exist where x = 0. In the first table, where x = 0, y = -4; in the second table, where x = 0, y = 3.
The equation we will finally fill in is y = mx + b, where m is the slope and b is the y-intercept.
Solving for slope in the first table:
[tex]m=\frac{-4-(-7)}{0-(-1)}=\frac{3}{1}=3[/tex] and the equation for this table is
y = 3x - 4
Solving for the slope in the second table:
[tex]m=\frac{3-4}{0-(-1)}=\frac{-1}{1}=-1[/tex] and the equation for this table is
y = -1x + 3 or just y = -x + 3
That's the system, which happens to be choice D
Someone pls help me ill give out brainliest pls don’t answer if you don’t know
Answer:
Step-by-step explanation:
The area of a sector has the formula
[tex]A_s=\frac{\theta}{360}*\pi r^2[/tex] Hopefully, this looks somewhat familiar to you. Theta is the central angle given as 75, r is the radius given as 4. Filling in:
[tex]A_s=\frac{75}{360}*(3.14)(4)^2[/tex] and simplifying that a bit to look less threatening, but not by much:
[tex]A_s=\frac{5}{24}(3.14)(16)[/tex] and
[tex]A_s=\frac{251.2}{24}=\frac{157}{15}=10.466666666...[/tex] Not sure how you're supposed to express your answer so I gave both the fraction and its decimal equivalency.
Which of the following is a solution to 2sin^(2)x+sinx-1=0
45\deg
200\deg
240\deg
270\deg
330\deg
Hello,
[tex]2*sin^2(x)+sin(x)-1=0\\\Delta=1+4*2*1=9=3^2\\sin^2(x)=\frac{-1-3}{4} =-1\ (impossible)\\or\\sin^2(x)=\frac{-1+3}{4} =\dfrac{1}{2}\\sin(x)=\dfrac{\sqrt{2} }{2} \Longrightarrow (x=45^o\ or\ x=135^o)\\or\\sin(x)=-\dfrac{\sqrt{2} }{2} \Longrightarrow (x=315^o\ or\ x=225^o)\\[/tex]
Answer A : 45°
The first and last term of an A. P are 1 and 121 respectively. Find the number of terms in the A.P and the common difference between them if the sum of the term is 1281
Answer:
No.of terms=21
Common difference=6
What is the approximate value of x. Enter only a numeric answer rounded to the nearest tenth
Answer:
14.9 degrees
Step-by-step explanation:
For this problem you can use Tan∅=o/a and solve for the angle:
15.7 / 59 = 0.2661
Then use inverse tangent of 0.2661 to get 14.9.
Un par de zapatos más dos pantalones valen $ 70.000 en una tienda. Se ofrece una oferta, al comprar dos o más pares de zapatos del mismo precio se descuenta un 10% en cada par y por tres o más pantalones del mismo precio un 15% en cada pantalón. Juan paga por tres pantalones $ 38.250 y luego, compra dos pares de zapatos. ¿Cuánto pagó Juan por los dos pares de zapatos?
Answer:
49.5 $
Step-by-step explanation:
Comencemos por lo siguiente:
Si llamamos x al precio del par de zapatos y "y" al precio de cada pantalón, entonces la tienda ofrece:
un par de zapatos x más dos pantalones 2*y en 70.000 $ (deben ser 70 $ pero esa cifra no importa a los fines de resolver el problema, habrá solo que hacer el ajuste correspondiente, en lo que aqui respecta hablaremos de 70 $)
Entonces de acuerdo a lo expuesto
x + 2y = 70 or y = ( 70 - x) /2 (1)
Esa es la condición inicial.
Ahora bién Juan paga por tres pantalones 38.25 $
Eso quiere decir ( como los pantalones son iguales) que pago 38.25/3 por cada pantalón
38.25/3 = 12.75 $
Ahora bién ese precio tubo una rebaja del precio original del 15 % ( quiere decir que el precio original de cada pantalón es de
12.75/0.85 = 15 $ x = 15 $
Entonces si nos vamos a la ecuación (1) (alli los precios son originales) tenemos que
y = ( 70 - x ) / 2 y = ( 70 - 15 ) / 2 y = 55/2 y = 27.5 $
Ahora Juan paga por dos pares de zapatos donde según las ofertas de la tienda el debera tener un descuento del 10 % en cada par
Por lo que si un par cuesta 27.5 $ le darán un descuento del 10% es decir pagará 27.5 *0.9 = 24.75 por cada par, como son dos pares
pagará 2 * 24.75 = 49.5 $
a ratio equivalent to 10:15
Answer:
3/2, 6/4, 9/6, 12/8, 15/10, 18/12, 21/14, 24/16, 27/18, 30/20, 33/22, 36/24, 39/26, 42/28, 45/30, 48/32, 51/34, 54/36, 57/38, 60/40
Step-by-step explanation:
Answer:
20 : 30
Step-by-step explanation:
Given Ratio :-
10 : 15Equivalent Ratio :-
10 : 15 10 / 15 10 * 2 / 15 *2 20 / 30 20 : 30Multiply the polynomial by distribution. Show your work and explain the steps you used to solve.
(a – 3)(a2 + 2a – 6)
help please
Hello,
Why "Multiply the polynomial by distribution" ?
It's s t u p i d, you compliquate the equation.
In order to find the roots of P(a)=(a-3)(a²+2a-6)=0
a²+2a-6
=(a²+2a+1)-7
=(a+1)²-7
=(a-√7)(a+√7)
P(a)=(a-3)(a-√7)(a+√7)
Roots are 3,√7 and -√7
(If i have well understood the question , sorry if not)
Please answer this to the best of your ability
Answer:
For this exercise we need to solve the next equation:
3 +6x = 2x + 27
We can start substracting 3 at both sides:
3 + 6x - 2 = 2x + 27 - 3
6x = 2x + 25
And then, we can substract 2x::
6x - 2x = 2x + 24 - 2x
4x = 25
Then, we divide by 4:
4x/4 = 24/4
x = 24/4 = 6
Now, we can see if we have done it correctly:
3 + 6*6 = 39
2 * 6 + 27 = 39
And we have seen our result is correct