Answer:
6x+4 = 8x
4=2x
x=2 hrs
Step-by-step explanation:
What is another name for CD?
Answer:
I think album is another name of CD.
17
Select the correct answer from each drop-down menu.
Consider this system of equations:
2x+ıy=3
(equation A)
fr-y=6
(equation B)
The expressions that give the value of y are
The solution for the given system is
and
Answer:
The expressions that give the value of y are A - 3B and (1/3)A - B
The solution is (27/13, -60/13)
Step-by-step explanation:
We can see both equation A and equation B.
Equation A: 2x + (1/4)y = 3
Equation B: (2/3)x - y = 6
To find the value of y, we have to solve both equations A and equation B simultaneously. This is done by multiplying equation B by 3 and subtracting from equation A (A - 3B) to get:
(13/4)y = -15
y = -60/13
you can also get y by dividing equation A by 3 and subtracting equation B (1/3A - B)
Put y = -60/13 in equation A to get x:
2x + (1/4)(-60/13) = 3
2x = 3 + 15/13
2x = 54/13
x = 27/13
The solution is (27/13, -60/13)
The graph below shows the solution to which system of inequalities?
10-
TO
10
-10
whats the mean, median, mide and range of 4,6,3,1,9,0,5? please answer.
Answer:
mean=14
median =4
Range=3
Step-by-step explanation:
Mean = 4+6+3+1+9+0+5/2
=28/2
=14
Median = ( N+1/2 )th item
= ( 7+1 )/2
= 8/2
= 4
Range = largest no- lowest no
= 9-6
= 3
Hello can someone help me with this problem
Answer: x = 60
Step-by-step explanation:
If two parallel lines are cut by a transversal, then the pairs of consecutive interior angles are supplementary and their sum is 180°.
2x + 5 + x - 5 = 180
3x = 180
3x : 3 = 180 : 3
x = 60
Need help on this!!!!
Answer:
D
Step-by-step explanation:
First find h(3)
2(3)-2= 4
then find g(4)
4³-5= 59
Are the lines parallel, perpendicular, or neither?
y = 7x +3
y = 1/7x - 5
Answer:
Neither (Answer)
Step-by-step explanation:
Comparing both the equations with slope-intercept form (y = mx + c), where 'm' is the (slope/gradient) and and 'c' is the (y-intercept).
If slopes are equal then the lines are parallelIf the product of slopes is equal to '-1' then lines are perpendicularOtherwise, lines are intersecting (Neither)Note: If the slopes are equal as well as the y-intercepts then they are same lines (overlapping) i.e lines are scaler multiple of each other.
Slope of line 1 = m1 = 7
slope of line 2 = m2 = 1/7
neither the slopes are equal nor the their product is equal to '-1'
Determine the measure of ZA.
45.6°
57.7°
55.2°
32.3°
Step-by-step explanation:
Cos A = 40^2 + 25^2- 34^2 ÷ (2×40×25)
= 200+625-1156 ÷ (2000)
= 1069 ÷2000
Cos A = 0.5345
A= cos inverse 0.5345
A = 57.7
Answer:
57.7
Step-by-step explanation:
took the test
does the point (-4, 2) lie inside or outside or on the circle x^2 + y^2 = 25?
Answer:
The points lie INSIDE THE CIRCLE
hope it helps
have a nice day
Given equation of the Circle is ,
[tex]\sf\implies x^2 + y^2 = 25 [/tex]
And we need to tell that whether the point (-4,2) lies inside or outside the circle. On converting the equation into Standard form and determinimg the centre of the circle as ,
[tex]\sf\implies (x-0)^2 +( y-0)^2 = 5 ^2[/tex]
Here we can say that ,
• Radius = 5 units
• Centre = (0,0)
Finding distance between the two points :-
[tex]\sf\implies Distance = \sqrt{ (0+4)^2+(2-0)^2} \\\\\sf\implies Distance = \sqrt{ 16 + 4 } \\\\\sf\implies Distance =\sqrt{20}\\\\\sf\implies\red{ Distance = 4.47 }[/tex]
Here we can see that the distance of point from centre is less than the radius.
Hence the point lies within the circle .
Rewrite the equation by completing the square.
Answer:
4(x - [tex]\frac{1}{2}[/tex] )² = 0
Step-by-step explanation:
Given
4x² - 4x + 1 = 0 ( factor out 4 from the first 2 terms )
4(x² - x) + 1 = 0
To complete the square
add/subtract ( half the coefficient of the x- term)² to x² - x
4(x² + 2(- [tex]\frac{1}{2}[/tex] )x + [tex]\frac{1}{4}[/tex] - [tex]\frac{1}{4}[/tex] ) + 1 = 0
4(x - [tex]\frac{1}{2}[/tex] )² - 1 + 1 = 0
4(x - [tex]\frac{1}{2}[/tex] )² = 0
how do you know where to put the decimal point in problem 6?
6. 4 × 1.18
Answer:
just do 64 * 118 = 7552
count the decimal points in BOTH the items 1 for the 6.4
and 2 in the 1.18 1+2 = 3
so starting from the right move in "3" positions and
put a decimal point
7.552
Step-by-step explanation:
what is gravity write it's SI system
Step-by-step explanation:
gravity, also called gravitation, in mechanics, the universal force of attraction acting between all matter. ... On Earth all bodies have a weight, or downward force of gravity, proportional to their mass, which Earth's mass exerts on them. Gravity is measured by the acceleration that it gives to freely falling objects.
its Sl unit is m/s².
hope it helps.stay safe healthy and happy.P and Q are points on the line 3y - 4x = 12
a Complete the coordinates of P and Q.
P(0, 1) Q(,0)
Answer:
Step-by-step explanation:
Since the coordinates of P are (0, 1), this makes P the y-intercept of that line. The y-intercept exists where x = 0. And in the coordinate (0, 1), x does in fact equal 0.
Since the one coordinate given in Q is (?, 0), this means that Q is the x-intercept of the line. The x-intercept exists where y = 0. And in the coordinate (?, 0), y does in fact equal 0. So in order to solve for the x coordinate of Q, we plug in a 0 for y and solve for x:
3(0) - 4x = 12 and
-4x = 12 so
x = -3
225 students appeared at an examination. Among them, the ratio of the number of students who passed in the first and in the second division were 4.5. If 25 students passed in the third division and 29 students failed in the examination, find (i) the number of students who passed in the first and in the second division (ii) The ratio of the number of students who passed in the first second and in the third division.
(i) the number of students who passed in the first and in the second division
76+95=171 students
(ii) The ratio of the number of students who passed in the first second and in the third division.
RATIO is 4:5:(25/19) or 4:5: 1.3157894…….
225-29=196 (29students failed)
196-25=171. (Subtract 25 students from the 3rd division)
4x+5x= 171 (171 students from 1st and second division)
9x=171
X=19
4x19=76 5x19= 95 1.31578.....x19= 25
Una recta pasa por los puntos A(-40) y B(2,-3).calcular su área
Answer:
Supongo que la pregunta completa es:
"Una recta pasa por los puntos A(-4, 0) y B(2, -3)"
Luego dice "calcular su área", pero una recta es un elemento unidimensional (los cuales no tienen área, el área es un concepto bidimensional).
Por lo que el área de esta recta no está definida.
Ignorando esto, podemos encontrar la ecuación que define a nuestra recta.
Sabemos que una recta se escribe como:
y = a*x + b
donde a es la pendiente y b es la ordenada al origen.
Sabemos que para una recta que pasa por los puntos (x₁, y₁) y (x₂, y₂), la pendiente será:
a = (y₂ - y₁)/(x₂ - x₁)
Entonces, para nuestra recta que pasa por los puntos (-4, 0) y (2, - 3) la pendiente será:
a = (-3 - 0)/(2 - (-4) )
a = -3/6 = -1/2
Entonces nuestra línea es algo como:
y = (-1/2)*x + b
para encontrar el valor de b, usamos el hecho de que esta línea pasa por el punto (2, -3)
esto significa que cuando x = 2, tenemos que tener y = -3
reemplazando esos dos valores obtenemos
-3 = (-1/2)*2 + b
-3 = -1 + b
-3 + 1 = b
-2 = b
La ecuación que define a esta recta es:
y = -(1/2)*x - 2
Nuevamente, el área de esta recta no está definida, por lo que no podemos calcular el área de esta recta.
GIVING 15 POINTS PLS HELP!!!
Part A: factor 2x^2b^2 + 5xb^2 + 2b^2. Show your work.
Part B: factor x^2 - 8x + 16. Show your work.
Part C: factor x^2 - 49. Show your work.
Answer:
the picture I've given is an answer
What is the result of subtracting the second equation from the first?
-2x+y = 0
-7x+3y = 2
Answer:
-5x + 2y=2
Step-by-step explanation:
[tex]- 7x + 3y = 2 \\ - 2x + y = 0 \\ subtracting \: this.we \: have \\ ( - 7x \: + 3y - 2) - ( - 2x + y) \\ - 7x + 2x + 3y - y - 2 \\ - 5x + 2y - 2 \\ therefore \: we \: have \\ - 5x + 2y = 2[/tex]
4. Given the perimeter find the missing side.
Answer:
x^2 + 3x + 5
Step-by-step explanation:
sum of the two given side = 2x^3 + 3x^2 + 3x -2
missing side = 2x^3 + 4x^2 + 6x + 3 - 2x^3 - 3x^2 - 3x + 2 = x^2 + 3x + 5
- (For 10 points!)
Alfred draws candles randomly from a pack containing 4 colored candles of the same shape and size. There are 2 red candles, 1 green candle, and 1 blue candle. He draws 1 candle and then draws another candle without replacing the first one. Find the probability of picking 1 red candle followed by another red candle, and show the equation used.
(don't joke around please?? /gen)
Answer:
The probability of picking 1 red candle followed by another red candle is 16.66%.
Step-by-step explanation:
Since Alfred draws candles randomly from a pack containing 4 colored candles of the same shape and size, and there are 2 red candles, 1 green candle, and 1 blue candle, and he draws 1 candle and then draws another candle without replacing the first one, to find the probability of picking 1 red candle followed by another red candle, the following calculation must be performed:
2/4 x 1/3 = X
0.5 x 0.333 = X
0.16666 = X
Therefore, the probability of picking 1 red candle followed by another red candle is 16.66%.
Answer:
1/6
Step-by-step explanation:
2/4 x 1/3 = 1/6
pls help me don't know what to do
Answer:
x=15
Step-by-step explanation:
The 60 degree angle and the (x+45) degree angle are both the same degree because they are vertical angles.
So to solve, just subtract 45 from 60
60-45=15
That's your answer!
Hope this helps!
razones y proporciones. un pelotero profesional ha bateado 14 imparables , en 40 turnos al bate . hallar la razón entre las veces que ha bateado de imparable y los turnos que ha tenido que batear.
Answer:
El pelotero ha bateado imparables en el 35% de sus intentos.
Step-by-step explanation:
Dado que un pelotero profesional ha bateado 14 imparables en 40 turnos al bate, para hallar la razón entre las veces que ha bateado imparables y los turnos que ha tenido que batear se debe realizar el siguiente cálculo:
14 / 40 = X
0.35 = X
0.35 x 100 = 35
Por lo tanto, el pelotero ha bateado imparables en el 35% de sus intentos.
Solve for X (line a and b parallel)
Answer:
x=29°
Step-by-step explanation:
as lines are parallel.
external alternate angles are equal.
7x-86=4x+1
7x-4x=1+86
3x=87
x=87/3=29
(a) A pentagon ABCDE has sides AE and CD parallel and the line EC
is parallel to side AB. Sides ED and BC, when extended, meet at a
point F. ZABC is equal to ZCDE. Show that ZAEC = ZCFD.
(b) If, furthermore, triangles EDC and DFC are both isosceles, with
ED = DC and DF = FC, find the angles of the pentagon.
(a) ∠AEC = ∠CFD, by transitive property of equality
(b) ∠CDE = 108°, ∠DCB = 108°, ∠ABC = 108°,∠EAB = 144°, ∠AED = 72°
The reason the above values are correct is as follows:
(a) The given parameters are;
Figure ABCDE is a pentagon
The sides AE is parallel to side CD
Line EC is parallel to side BC
The point of intersection of the extension off side ED and BC = Point F
∠ABC = ∠CDE
Required:
To show that ∠AEC = ∠CFD
Method:
Draw the pentagon ABCDE and include the added construction
Analyze the drawing
Solution:
∠ECF and ∠ABC are corresponding angles between parallel lines EC ║BC
∴ ∠ECF ≅ ∠ABC by corresponding angles formed by parallel lines are congruent
∠ECF = ∠ABC by definition of congruency
∠ABC = ∠CDE = ∠ECF by transitive property
∠ECD ≅ ∠AEC by alternate angles formed between parallel lines having a common transversal
∠ECD = ∠AEC by definition of congruency
∠ECF = ∠FCD + ∠ECD by angle addition postulate
∠CDE = ∠FCD + ∠CFD by exterior angle theorem
From ∠CDE = ∠ECF above, we have;
∠ECF = ∠FCD + ∠ECD = ∠FCD + ∠CFD
∴ ∠ECD = ∠CFD by addition property
∠ECD = ∠AEC, therefore;
∠AEC = ∠CFD, by transitive property
(b) Given that ΔEDC and ΔDFC are both isosceles triangles, with sides;
ED = DC, and DF = FC;
Let r represent ∠CFD, we have;
∠FCD = ∠CDF by base angles of isosceles triangle ΔDFC
∠ECD = ∠CED by base angles of isosceles triangle ΔEDC
∠AEG = ∠CDE by corresponding angles formed by parallel lines having a common transversal
∠AEC = ∠ECD by alternate angles
∴ ∠AEG + ∠AEC + ∠CED = 180° Sum of angles on a straight line
∠CDE = ∠CFD + ∠FCD
∠CDE + ∠CDF = 180° (linear pair angles)
∴ ∠AEG + ∠CDF = 180° by transitive property
∠AEC + ∠CED = ∠CDF by transitive property
∠AEC = ∠ECD = ∠CED = ∠CFD = r
∴ ∠CFD + ∠CFD = ∠CDF
2·r = ∠CDF
∠CDE = ∠FCD + ∠CFD
∠FCD = ∠CDF = 2·r
∴ ∠CDE = 2·r + r = 3·r
∠CDE = 3·r
The angles of the pentagon are;
∠CDE + ∠DCB + ∠ABC + ∠EAB + ∠AED = 540° sum of angles in a pentagon
∠DCB = 180° - ∠FCD
∠DCB = 180° - 2·r
∠ABC = ∠CDE = 3·r
∠EAB = ∠CEH corresponding angles
∠CEH = 180 - ∠AEC
∴ ∠EAB = 180° - ∠AEC
∴ ∠EAB = 180° - r
∠AED = ∠AEC + ∠CED = r + r = 2·r
∠AED = 2·r
Therefore, we have;
3·r + 180° - 2·r + 3·r + 180° - r + 2·r = 540°
5·r + 360° = 540°
r = (540° - 360°)/5 = 36°
r = 36°
∠CDE = 3 × 36° = 108°
∠DCB = 180° - 2×36° = 108°
∠ABC = 3 × 36° = 108°
∠EAB = 180° - 36° = 144°
∠AED = 2 × 36° = 72°
Learn more about geometry word problems here:
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What is 10{,}000+2{,}000+50+510,000+2,000+50+510, comma, 000, plus, 2, comma, 000, plus, 50, plus, 5 in standard form?
Answer:
1.2055 × 10⁴
Step-by-step explanation:
10,000 + 2,000 + 50 + 5
= 12,055
Writing 12,055 in standard form
The first digit in standard form should be between 1 and 10
Therefore, the first digit in 12,055 is 1 then point other numbers
As in 1.2055
There are 4 digits after the decimal point.
So we have 10⁴
12,055 = 1.2055 × 10⁴
Check:
1.2055 × 10⁴
= 1.2055 × 10,000
= 12,055
HELP ASAP
Jack is taking a two-day road trip. He drove 425 miles on the first day, and needs to travel a total of 825 miles to reach his final destination. How many miles does Jack need to drive on the second day to get to his destination?
Answer:
400 miles
Step-by-step explanation:
825 - 425 = 400
Answer:
Step-by-step explanation:
825 - 425= 400 which is what she is going to drive on the second day
Solve the inequality.
–13.4 ≥ 6.7 + 4.3 + w
–24.4 ≥ w
24.4 ≥ w
23.4 ≥ w
–23.4 ≥ w
Answer:
-24.4 ≥ w
Step-by-step explanation:
-13.4 ≥ 6.7 + 4.3 + w
-13.4 - 6.7 - 4.3 ≥ w
-24.4 ≥ w
c) Which of these numbers is a square number?
A
4 x 105
B
9 x 104
С
4 x 103
D
9 x 103
Find the derivative of the function. f(x) = 2x + 6
a. 6
b. 2
c. -2
d. 1/2
PLEASE ANSWER WITH THESE ANSWERS
Hi there!
[tex]\large\boxed{\text{ B. 2}}[/tex]
f(x) = 2x + 6
Differentiating 2x = 2 (Power rule, dy/dx xⁿ = nxⁿ⁻¹)
Differentiating a constant always equals 0.
Thus:
f'(x) = 2
geometry peculiar pool
please help!!!
after the sketch answer
1. Let x represent the length of BC. Write expressions for the lengths of AB, CD, and DE.
Answer:
hi.
Step-by-step explanation:
download photo math
The cue ball needs to be hit at a point that is 21.66 inches from the top bumper and 13 inches from the right bumper.
The first step is to calculate the angle at which the cue ball will hit the top bumper. We know that the angle of incidence is equal to the complement of the angle of reflection, so the angle of incidence is equal to 90 - 13/50 = 77 degrees.
The next step is to calculate the distance that the cue ball will travel along the top bumper before it strikes the other ball. We know that the angle of incidence is equal to the angle of reflection, so the angle of reflection is also 77 degrees. We also know that the distance between the cue ball and the other ball is 50 inches.
Using the law of sines, we can write the following equation:
sin(77) = (50 / d) * sin(180 - 77)
where d is the distance that the cue ball will travel along the top bumper before it strikes the other ball.
Solving for d, we get:
d = 50 * sin(77) / sin(103)
≈ 21.66 inches
Therefore, the cue ball needs to be hit at a point that is 21.66 inches from the top bumper and 13 inches from the right bumper.
To learn more about point here:
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Can like someone help me I'm lost-
Answer:
the first graph
Answer:
1st option
Step-by-step explanation:
If the rate of change is constant, then it's always a straight line, so the 1st option, and if you see the graph, you'll see the line is going down at a rate of 1/4, so the slope is 1/4. So the answer to your question will be the 1st option.
Answered by GAUTHMATH