3x - 12 = 4x + 3
3x - 4x = 3 + 12
-x = 15 / : (-1)
x = -15
Answer:
One solution
Step-by-step explanation:
3х – 12 = 4х + 3
3x - 4x = 3 + 12
-x = 15
x = -15
This is a one solution because x only equals 1 number.
Using Cramer's Rule, what are the values of x and y in the solution to the system of linear equations below? -2x + 3y + z = 7 -4x - y -2z = 15 x + 2y +3z = -7
Answer:
x = -3
y = 1
z = -2
Step-by-step explanation:
-2x + 3y + z = 7
-4x - y -2z = 15
x + 2y +3z = -7
|-2 3 1|
|-4 -1 -2|
|1 2 3|
Determinant of this from online determinant calculator is;
D = 21
For Dx, we have;
|7 3 1|
|15 -1 -2|
|-7 2 3|
Determinant of this from online determinant calculator is;
Dx = -63
For Dy, we have;
|-2 7 1|
|-4 15 -2|
|1 -7 3|
Determinant of this from online determinant calculator is;
Dy = 21
For Dz, we have;
|-2 3 7|
|-4 -1 15|
|1 2 -7|
Determinant of this from online determinant calculator is;
Dz = -42
From creamers rule;
x = Dx/D
y = Dy/d
z = Dz/d
Thus;
x = -63/21
x = -3
y = 21/21
y = 1
z = -42/21
z = -2
Thus,
x = -3
y = 1
z = -2
A hot-air balloon is tied to the ground with two ropes, as shown below. One rope is directly under the balloon and makes a right angle with the ground. The other rope forms an angle of 50° with the ground. Determine the height of the balloon above the ground, to the nearest foot. For this open-ended question, do you want to type your answer or upload the picture of your work on the paper? *
Answer:
84 ft
Step-by-step explanation:
Since this is a right triangle we can use trig functions
sin theta = opp side / hypotenuse
sin 50 = y / 110 where y is the height above the ground
110 sin 50 = y
84.26488 = y
To the nearest foot
84 ft
Answer:
84 feet
Step-by-step explanation:
Since you are given an angle and the length of hypotenuse, you can use the trigonometric function sine.
sinθ = opposite length / hypotenuse length
sin (50) = x / 110
sin(50) * 110 = x
~84 feet
What is -4 square root of 12 + the square root of 75 in simplest radical form?
If A=(-1,-3) and B=(11,-8), what is the length of line ab?
Hi!
[tex]A=(-1,-3) \ and \ B=(11,-8)\\\\|AB|=\sqrt{(11-(-1))^2+(-8-(-3))^2}\\\\|AB|=\sqrt{(11+1)^2+(-8+3)^2}\\\\|AB|=\sqrt{12^2+(-5)^2}\\\\|AB|=\sqrt{144+25}\\\\|AB|=\sqrt{169}\longrightarrow\boxed{|AB|=13}[/tex]
Answer:
d=13
Step-by-step explanation:
the steps are in the pics below
teresa repartee un chocolate entre sus hermanos. ella le dio 1/3 a miguel y 1/4 a diego. que parte de chocolate repartido teresa?
Answer:
Teresa tiene 1 chocolate.
Ella le da 1/3 del chocolate a Miguel, entonces ahora Teresa tendrá un chocolate menos un tercio de chocolate, es decir, ella tiene:
1 - 1/3 = 3/3 - 1/3 = 2/3 de un chocolate.
Ahora le da 1/4 a diego, entonces lo que le sobra va a ser:
2/3 - 1/4
recordar que tenemos que tener el mismo denominador en ambas fracciones, entonces podemos reescribir esto como:
(4/4)*(2/3) - (3/3)*(1/4)
(a cada fracción la multiplico y divido por el denominador de la otra)
8/12 - 3/12 = (8 - 3)/12 = 5/12
Es decir, Teresa finalmente tiene 5/12 del chocolate.
Entonces la parte de chocolate que repartió es lo que le falta, que se obtiene como:
1 - 5/12 = 12/12 - 5/12 = 7/12
Ella repartió 7/12 de su chocolate.
La fracción de chocolate que repartió Teresa es 7/12
How to add two fractions?Let we have to add two fractions as:
[tex]\dfrac{a_1}{b_1} + \dfrac{a_2}{b_2}[/tex]
Then we will find Lowest Common Multiple (LCM) of [tex]b_1[/tex] and [tex]b_2[/tex]
That will help to make the denominators same.
Once the denominators become same, the numerators can add up directly, giving us the final result of addition.
For this case, we're provided that:
Teresa gave 1/3th of the chocolate to MiguelTeresa gave 1/4th of the chocolate to Diego.So, the total part she gave is addition of those fractions.
Total part of chocolate Teresa gave = 1/3 + 1/4
LCM of 3 and 4 is 12 since 12 is the smallest number whose factors are 3 and 4 both(this is what LCM of two numbers denote).
Converting each fraction such that it has denominator 12, we get;
[tex]\dfrac{1}{3} \times\dfrac{4}{4} = \dfrac{4}{12}\\\\\dfrac{1}{4} \times\dfrac{3}{3} = \dfrac{3}{12}\\[/tex]
And their addition is:
[tex]\dfrac{1}{3} + \dfrac{1}{4} = \dfrac{4}{12} + \dfrac{3}{12} = \dfrac{7}{12}[/tex]
Thus, the portion of the chocolate that Teresa distributed is 7/12.
Learn more about fraction addition here:
https://brainly.com/question/17544795
I need help I don't understand this
Answer:
x = 2
Step-by-step explanation:
Given
- 3 + 6x = 25 - 8x ( add 8x to both sides )
- 3 + 14x = 25 ( add 3 to both sides )
14x = 28 ( divide both sides by 14 )
x = 2
Answer:
x = 2
Step-by-step explanation:
-3 +6x = 25 -8x
Add 8x to each side
-3 +6x+8x = 25 -8x=8x
-3+14x = 25
Add 3 to each side
-3+3+14x = 25+3
14x = 28
Divide by 14
14x/14 = 28/14
x = 2
f(x)= |3x+4| + 2
g(x)= 4
find (f + g) (x)
Answer:g∘f(x)=g(f(x))=g(−3x+4)=(−3x+4)2. In x=−2 we have g∘f(−2)=(−2⋅−3+4)2=102=100.
Step-by-step explanation:
yuhhh babyyyy
The ideal gas equation says that the product of the pressure, P, and the volume of a gas, V, is equal to the number of moles of the gas, n, times the gas constant, R, times the temperature of the gas, T.
Answer:
PV = nRT
Step-by-step explanation:
The ideal gas equation says that the product of the pressure, P, and the volume of a gas, V, is equal to the number of miles of the gas,n, times the gas constant, R, times the temperature of gas,T.
which of the following equations is equivalent to the ideal gas equation?
P = pressure
V = volume
n = number of miles
R = gas contact
T = Temperature
Products means multiplication (×)
Times means multiplication (×)
product of the pressure, P, and the volume of a gas, V = P × V
number of miles of the gas,n, times the gas constant, R, times the temperature of gas,T = n × R × T
Therefore,
P × V = n × R × T
PV = nRT
The ideal gas equation is PV = nRT
Answer:
T=PV/nR
Step-by-step explanation:
this is the answer for edmentum
The measure of an angle is 112.7º. What is the measure of its supplementary angle?
Answer:
67.3
Step-by-step explanation:
Let x = unknown angle
Supplementary angles add up to equal 180
Hence 112.7 + x = 180
Solve for x
112.7 + x = 180
Subtract 112.7 from both sides
x = 67.3
An angle supplementary to an angle with a measure of 112.7 degrees has a measure of 67.3
What number is halfway between -0.5 and 2.3
Answer:
0.9
Step-by-step explanation:
In order to get halfway between -0.5 and 2.3, first, we need to take their sum:
Sum of digits
Sum = [tex]{-0.5+2.3}[/tex]
Sum = [tex]1.8[/tex]
Take the average of the sum
Average = [tex]\frac{1.8}{2} = 0.9[/tex]
Hence the halfway between the numbers is 0.9
hey please answer soon i need this done soon! 20points!!!
Which classification describes the system of linear equations?
{3x−y=2y=3x+2
consistent independent
inconsistent
consistent dependent
Answer:
consistent independentExplanation:-The system of linear equations {3x−y=2y=3x+2 describes consistent independent .Hope it is helpful to you stay safe healthy and happy ☺️Which expression is equivalent to 1/3 (6m+15) +3
There are 6 red socks and 8 black
socks in a drawer. Without looking,
you pick out 2 socks to wear. What
is the probability of picking red, black?
a. 15/91
b. 14/27
c. 24/91
Answer:
24/91
Step-by-step explanation:
6 red socks and 8 black = 14 socks
P( red) = red/total = 6/14 = 3/7
Keep the red sock
5 red socks and 8 black = 13 socks
P(black) = black / total = 8/13
P(red, black, keeping the sock) = 3/7 * 8/13 = 24/91
It is given that cos 0 = -0.4209 and 0° 0 < 360°. Calculato the values of 0
Answer:
114.89 degrees
245.11 degrees
Step-by-step explanation:
cos is negative in the second and third quadrant ("pointing" on the x-axis to the left).
so, the first answer for the second quadrant is
114.89 degrees.
the answer for the third quadrant is then backwards the same angles from a full 360 degree rotation
360 - 114.89 = 245.11 degrees
TAREA
Considere un sistema coordenado que contiene el punto A(2 ; -4). Encuentre el punto B si los puntos A y
B se encuentran a la misma distancia con respecto a:
a. Eje Y
b. Eje X
c. Origen
Answer:
Don't know
Step-by-step explanation:
Translate it into English
I NEEDDDDD HELPPPP PLEASEEEEEE!!!!!!!!
Answer:
sin C = 12/13
Step-by-step explanation:
Since this is a right triangle
Sin C = opp side / hypotenuse
sin C = 36/39
sin C = 12/13
The paper water cups provided near the water jug are cones of radius 1.51.51, point, 5 centimeters (\text{cm})(cm)(, start text, c, m, end text, )and height 2\, \text{cm}2cm2, start text, c, m, end text. Your water bottle is a cylinder of radius 1.5\,\text{cm}1.5cm1, point, 5, start text, c, m, end text and height 4\, \text{cm}4cm4, start text, c, m, end text. How many full paper cups of water would you have to drink to get the same amount of water as one full water bottle
Answer:
The answer is "6 paper cups".
Step-by-step explanation:
Calculating the volume of cone:
[tex]V=\pi r^2 \frac{h}{3}[/tex]
[tex]=3.14 \times 1.5^2 \times \frac{2}{3}\\\\=4.71239[/tex]
Calculating the volume of cylinder:
[tex]V=\pi r^2h[/tex]
[tex]=3.14 \times 1.5^2 \times 4\\\\=28.27433[/tex]
Calculating the paper water cups:
[tex]=\frac{28.27433}{4.71239}\\\\= 5.99999788\\\\=6[/tex]
Solve for x. Round to the nearest tenth, if necessary. PLEASE HELP!
Answer:
15.6
Step-by-step explanation:
SOH -CHA-TOA
Tan = opp / adj
Tan(60) = 27/x
x = 27/tan(60)
Answer:
x ≈ 5.4
Step-by-step explanation:
Using the tangent ratio in the right triangle
tan60° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{MN}{LM}[/tex] = [tex]\frac{9.3}{x}[/tex] ( multiply both sides by x )
x × tan60° = 9.3 ( divide both sides by tan60° )
x = [tex]\frac{9.3}{tan60}[/tex] ≈ 5.4 ( to the nearest tenth )
What is the explicit formula for this sequence?
-7, -3, 1, 5, ...
Answer:
Step-by-step explanation:
a1 = - 7
d = 4
an = a1 + (n - 1) * d
an = - 7 + (n - 1) * 4
an = - 7 + 4n - 4
an = -11 + 4n
Try this out. Let n = 3
a3 = -11 + 4*3
a3 = - 11 + 12
a3 = 1 Which is what the series says.
Given the box plot, will the mean or the median provide a better description of the center?
*box plot with min at 10.5, Q1 at 11.5, median at 12.5, Q3 at 13.5, max at 15*
Answer:
A- The mean, because the data distribution is symmetrical
Step-by-step explanation:
When the number of values to the left and left of a distribution are almost or the same, such that the peak of the distribution is at the centre and the tail are spread out at both sides, then we say we have a symmetrical distribution. For, symmetrical data, the mean is the best measure of centre. However, for non - symmetrical distributions (skewed) the median is usually taken as the measure of centre of the data. However, since the distribution Given above, is almost symmetrical, then the mean sglhoukdnbe the preferred measure of centre.
help me friends write in copy
20 pts so don't spam
Answer:
ii
Step-by-step explanation:
from what you've written in the comments I think this question requires you to find the equation that can be expressed in two variables,so the best way to do this is to solve the pairs as simultaneous equations and see the ones that will give you two answers x and y
if you solve the first pair you will have
x + y = 5
2x+2y=10
2(x + y =5)
1(2x+2y=10)
2x+2y=10
2x+2y=10--
now from this you will see that it cannot be expressed as two variables because the answer is just zero..
for the second equation it can be expressed as two variables
x - y = 8
3x-3y =16
3(x-y =8)
1(x-3y=16)
3x-3y=24
x - 3y=16
2x/2=8/2
x=4
x-y=8
4-y=8
-y=8-4
-y/-1=4/-1
y=-4...
so you see it can be expressed as two variables..
if you solve the third one it will also give you an answer which is zero so it can't be expressed as two variables.
and the fourth one also cannot.
I hope this helps and if you don't understand feel free to ask..and sorry if it's wrong
What is the length of the diagonal of the square shown below?
Answer:
option (B) is correct ......
Answer:
B. [tex]5\sqrt{2}[/tex]
Step-by-step explanation:
Hi there!
Notice how the diagonal splits the square into two right triangles. To find the length of the diagonal, we can use the Pythagorean theorem: [tex]a^2+b^2=c^2[/tex] where a and b are the legs of a right triangle and c is the hypotenuse, or the side opposite the right angle.
In this case, a is 5, b is 5 and we're trying to solve for c.
[tex]a^2+b^2=c^2[/tex]
Plug in the known values
[tex]5^2+5^2=c^2\\25+25=c^2\\50=c^2\\c=\sqrt{50}[/tex]
Simplify the radical
[tex]c=\sqrt{25*2} \\c=5\sqrt{2}[/tex]
I hope this helps!
x^4-x^2+x-1 is divided by x-1
Answer:
1
Step-by-step explanation:
If a picnic area is located at the midpoint between Lubbock and Amarillo, find the distance to the picnic area from the sign.
Answer:
52
Step-by-step explanation:
It is given that the picnic spot is in the Plainview. The picnic spot is also located between the md point of the places Lubbock and Amarillo.
In the figure the sign shows that from the place where we are standing,
-- the distance to Lubbock = 5 units
-- the distance to Plainview = 52 units
-- the distance to Amarillo = 128 units
So, form this we can say that the distance from the sign board to the picnic area in Plainview is 52.
what is the answer to this polynomial (5x-2)^2?
Answer:
Answer and Explanation: Given polynomial expression is: (5x2+3x−5)−(x2 −6x−4) ( 5 x 2 + 3 x − 5) − ( x 2 − 6 x − 4).
Step-by-step explanation:
Answer:
25x^2 -20x +4
Step-by-step explanation:
(5x-2)^2
FOIL
(5x-2)(5x-2)
25x^2 -10x -10x +4
25x^2 -20x +4
A. It is not possible to determine if the triangles are congruent
B. ∆ABD ≅ ∆CBD by the SAS Postulate
C. ∆ABD ≅ ∆CBD by the SSS Postulate
Answer:
C. ∆ABD ≅ ∆CBD by the SSS Postulate
Step-by-step explanation:
We can prove that ∆ABD and ∆CBD congruent by the SSS Postulate.
The SSS postulate states that of three sides in one triangle are congruent to three corresponding sides in another, therefore, the two triangles are congruent.
From the diagram shown,
AB ≅ CB,
AD ≅ CD
BD = BD
We have three sides in ∆ABD that are congruent to three corresponding sides in ∆CBD.
Therefore, ∆ABD ≅ ∆CBD by the SSS Postulate
Answer: Triangles ABD and CBD are congruent by the SSS Congruence Postulate.
Hope it helps :)
what is 1*24 equals to
1*24= 24....
when any number is multiplied by one it gines the same no. for eg 241526×1=241526..
doesn't matter how greayer or smaller the number is....
Please hurry I will mark you brainliest
answer ..........(114,0.16)
Answer:
I dont mind answering but what is the question comment the question and i will solve it for you ;)
Please help me :)))!!!!!!
Answer:
16 × X + 3=
Step-by-step explanation:
u will get your answer
What is the value of this variable
9514 1404 393
Answer:
48
Step-by-step explanation:
The measure of the angle where the chords cross is the average of the measures of the intercepted arcs.
(70 +x)/2 = 59
x = 2×59 -70
x = 48