Given:
A line passes through the point (1,4) and is parallel to the x-axis.
To find:
The equation of the line.
Solution:
If a line is parallel to x-axis, then the line is a horizontal line. We know that the slope of a horizontal line is always 0. So, the slope of the required line is 0.
The point-slope form of a line is:
[tex]y-y_1=m(x-x_1)[/tex]
Where, m is the slope and [tex](x_1,y_1)[/tex] is the point.
The slope of the required line is 0 and it passes through the point (1,4). So, the equation of the line is:
[tex]y-4=0(x-1)[/tex]
[tex]y-4=0[/tex]
[tex]y-4+4=0+4[/tex]
[tex]y=4[/tex]
The required equation is [tex]y=4[/tex].
Therefore, the correct option is B.
How many solutions does it have? Pls help
Answer:
2 solutions
i hope this will help you
Do you remember how to solve a multistep linear equation with variables on both sides? Review with a Quick Check.
Solve:
5(a−1)−15=3(a+2)+4
Answer:
Step-by-step explanation:
5(a-1) -15 = 3(a+2) +4, distribute multiplication over subtraction and addition
5a -5 -15 = 3a +6 + 4, isolate the variable on one side
5a -3a = 6 +4 +5 +15, combine like terms
2a = 30, divide both sides by 2
a= 15
evaluate and solve: y + 3 = –y + 9
The value of y is 3.
Answer:
Solution given;
: y + 3 = –y + 9
add +y on both term
y+y+3=-y+y+9
subtract both side by 3
2y+3-3=9-3
2y=6
divide both side by 2
2y/2=6/2
y=3
Answer:
y = 3
Step-by-step explanation:
y + 3 = –y + 9
Add y to each side
y+y + 3 = –y +y+ 9
2y +3 = 9
Subtract 3 from each side
2y+3-3 = 9-3
2y = 6
Divide by 2
2y/2 = 6/2
y = 3
Please help out with this question..
Answer:
Step-by-step explanation:
C = 16 * 3 = 48
Match each equation with its solution.
Answer:
1. x = -2 , 3
2. x = - 1, 5
3. -1, 6/5
4. - 0/3, 1.3
Step-by-step explanation:
1.
[tex]ln(x+5)=ln(x-1)+ln(x+1)\\\\x+ 5 = (x-1)(x+1)\\\\x + 5 = x^2 - 1\\\\x^2 - x - 6 = 0 \\\\x^2 - 3 x + 2 x - 6 =0 \\\\x(x-3)+2(x-3)=0\\\\x = -2 and 3[/tex]
2.
[tex]e^{x^{2}}=e^{4x +5}\\\\x^2 - 4x - 5 = 0 \\\\x^2 - 5x + x - 5 = 0 \\\\x (x-5)+1 (x-5)=0\\\\x = -1 and 5[/tex]
3.
[tex]log_{4}(5x^2 +2)=log_{4}(x +8)\\\\5x^2 - x - 6 = 0 \\\\5 x^2 - 6 x + 5x- 6 = 0 \\\\5 x (x + 1)-6(x+1)=0\\\\x = -1 and \frac{6}{5}[/tex]
4.
[tex]log(x-1)+log 5x = 2\\\\5 x (x-1) =2 \\\\5x^2 - 5x -2 = 0 \\\\x = \frac{5\pm\sqrt{25+40}}{10}\\\\x = \frac{5\pm 8}{10}\\\\x = 1.3, - 0.3[/tex]
Solve the following system of equations by graphing. Label the solution and all intercepts.
4x-2y=8
y=1/2x+2
Please show me also how to graph it. Thanks a ton!
Answer:
(4,4)
y = 4
x = 4
Step-by-step explanation:
First we need to input y = 1/2x + 2 into 4x - 2y = 8.
4x - 2 (1/2x + 2) = 8 <-- Then solve
4x - 1x + -4 = 8
3x - 4 = 8
+4 +4
---------------------
3x = 12
3 3
x = 4
Now we need to use x and apply it to find y.
y = 1/2x + 2
y = 1/2(4) + 2
y = 2 + 2
y = 4
Now to graph go on the x axis (horizontal axis) and go to 4, then up 4 on the y axis.
You need to graph the point (4,4).
I hope this helps!
Answer:
see graph (4,4)
to manually graph just pick any two values for X in the first equation and calculate the corresponding Y value ... put a "dot" (a point on the graph)
do for both points , and draw al LINE between them...
repeat fore the second equation... the "solution" is where the two lines cross
Step-by-step explanation:
plsssss helpp in the next 2 min gives 10 points
Answer:
The answer is 144,5
Step-by-step explanation:
144,5/170×100 =85%
If the discriminant of an equation is zero, which of the following is true of the equation?
[tex]\sf Your \: question \: is \: incomplete. \: [/tex]
______________________
[tex]\sf \: I \: believe \: this \: is \: the \: answer \: you \: wanted[/tex] ⟹
[tex]\sf If \: the \: discriminant \: of \: an \: equation \: is \: zero, \: then \\ \sf \: the \: equation \: will \: have \:\underline{ 1 \: real \: solution \: with \: real \: and \: equal \: roots}.[/tex]
[tex]\boxed{ \sf{Explanation}} [/tex]
[tex]\sf If \: discriminant \: of \: quadratic \: equation \: ax^{2} + bx + c \: \\ \sf is \: b^{2} - 4ac = 0 \: then \: it \: will \: have \\ \sf↦\underline{1 \: real \: solution \: with \: real \: and \: equal \: roots.} [/tex]
Answer:
see explanation
Step-by-step explanation:
If b² - 4ac = 0
Then the roots are real and equal
please answer the question below! first to answer correctly, I will mark as brainliest.
The probability of not winning would be :
1 - probability of winning
This is written as:
1 - n/n+3
Now to simplify as a single fraction rewrite as:
N+3/n+3 - n/n+3
Simplify to get : 3/n+3
In a triangle ABC, angle BAC = 53° and angle ACB = 28°. If AB is produced to D, find angle CBD.
Angle CBD= 81°
I hope it helps you...
Answer:
81
Step-by-step explanation:
∠CBD is the exterior angle of the ΔABC.
Exterior angle property:
Exterior angle equals the sum of opposite interior angles.
∠CBD = ∠ABC + ∠ACB
= 53 + 28
= 81°
If m ≠ 1 and mn - 3 = 3 - n , then what is the value of n?
A) 6/ m+1
B) 6/ m-1
C) 6/ m+n
D) 6/ m-n
[tex]n = \frac{6}{m + 1} [/tex]
Hope it helps you...
The value of n is n= 6/( m+1).
What is expression?An expression is a set of terms combined using the operations +, – , x or , /.
Given:
mn - 3 = 3 - n
mn + n = 6
n(m+ 1) =6
n= 6/( m+1)
Learn more about expression here:
https://brainly.com/question/14083225
#SPJ2
If there were 36 candies and only 12 children, how many candies would each child get?
Answer:
3 each
Step-by-step explanation:
36 / 12 = 3
.................................................
Find square root of 0.0324
Answer:
0.18
Step-by-step explanation:
A group of ten people is going to play ball this weekend . Four will play basketball : half as many people will play baseball , and the rest will play soccer. How many people will play soccer?
Answer:
4
Step-by-step explanation:
Four people will play basketball, so 10 - 4 = 6.
Half as many people will play baseball, and half of 4 is 2, so 6 -2 = 4.
The rest will play soccer, which is 4.
Problem 7:
show that 4^n + 4^n+1 + 4^n+2 + 4^n+3 + 4^n+4 is divisible by 11 for any positive integer
4ⁿ + 4ⁿ⁺¹ + 4ⁿ⁺² + 4ⁿ⁺³ + 4ⁿ⁺⁴
= 4ⁿ (4⁰ + 4¹ + 4² + 4³ + 4⁴)
= 4ⁿ × 341
= 4ⁿ × 11 × 31
Find the missing side or angle.
Round to the nearest tenth.
b=3
a=9
c=11
C= ?
Answer:
C=125°
Step-by-step explanation:
Hi there!
To find angle C, we can use the cosine law:
[tex]cosC=\frac{a^2+b^2-c^2}{2ab}[/tex]
Plug in the given information
[tex]cosC=\frac{9^2+3^2-11^2}{2(9)(3)}[/tex]
[tex]cosC=\frac{-31}{54}[/tex]
[tex]C=cos^-^1(\frac{-31}{54})[/tex]
[tex]C=cos^-^1(\frac{-31}{54})\\C=125[/tex]
Therefore, angle C is approximately 125 degrees.
I hope this helps!
A basketball team received a care package and split it evenly among
5 players. If each player received 9 candy bars, how many candy bars
were in the care package?
Help please
Answer:
45
Step-by-step explanation:
9x5
order the set of irrational numbers from least to greatest
Answer:
answer is A
hope it helps please mark as brainliest answer and give me thanks
#Dhruv hereFind the missing side lengths
Answer:
x = 11√3
y = 11
Step-by-step explanation:
Let 60 be the reference angle
sin 60 = p/h
√3/2 = x/22
or, 22√3 = 2x
or, x = (22√3)/2
so, x = 11√3
now
[tex]h^2 = p^2 + b^2\\or, 22^2 = (11\sqrt{3} )^2+y^2\\or, 484 = 363 + y^2\\or, 484-363 = y^2\\or, 121 = y^2\\or, \sqrt{121} = y\\so, y = 11[/tex]
2. What are the last 2 digits of 1 + 2 + 3 + + 2005 2006
Let S be the sum. So you have
S = 1 + 2 + 3 + … + 2004 + 2005 + 2006
as well as
S = 2006 + 2005 + 2004 + … + 3 + 2 + 1
Then
2S = (1 + 2006) + (2 + 2005) + … + (2005 + 2) + (2006 + 1)
2S = 2007 + 2007 + … + 2007 + 2007
2S = 2006 × 2007
S = (2006 × 2007)/2
S = 2,013,021
which makes the last two digits 21.
△ABCis reflected to form △A′B′C′. The vertices of △ABC are A(3, 1), B(1, 5), and C(6, 9). The vertices of △A′B′C′ are A′(−1, −3), B′(−5, −1), and C′(−9, −6). Which reflection results in the transformation of △ABC to △A′B′C′? Reflection across the x-axis reflection across the y-axis reflection across y = x reflection across y=−x I NEED HELP PLS The answer choies are: A. Reflection across the x-axis B. Reflection across the y-axis C. Reflection across y = x D. Reflection across y=−x
Answer: D) reflection across y = -x
Explanation:
When we reflect over y = x, we basically swap x and y. So for instance, the point (3,1) becomes (1,3).
When reflecting over y = -x, we will do the same thing but we'll make each coordinate swap in sign from positive to negative (or vice versa). The rule for reflecting over y = -x is [tex](x,y) \to (-y,-x)[/tex]
So if we apply that rule to point A(3,1) then it becomes A ' (-1, -3).
Similarly, B(1,5) moves to B ' (-5, -1)
Finally, C(6,9) becomes C ' (-9, -6)
please help me out really need help
Answer:
B
add the two together.... 5x^3 is the only cube A or B only x is 6x and only B has that
Step-by-step explanation:
Answer:
your answer is B
[tex]f(x)=2x^{2} +6x-4[/tex]
[tex]g(x)=5x^{3} -6x^{2} -3[/tex]
[tex](f+g)x=2x^{2} +6x-4+5x^{3} -6x^{2} -3[/tex]
[tex]=5x^{3} -4x^{2} +6x-7[/tex]
OAmalOHopeO
How do I simplify this? With steps please :)
Answer:
[tex]{ \tt{ = \frac{ {p}^{2} + 8p + 16 }{ {p}^{2} - 16 } }} \\ \\ = { \tt{ \frac{ {(x + 4)}^{2} }{(x - 4)(x + 4)} }} \\ \\ = { \tt{ \frac{(x + 4)}{(x - 4)} }}[/tex]
Express 0.00506 in standard form
Answer:
[tex]5.06 x 10^{-3}[/tex]
Step-by-step explanation:
Move decimal 3 place to right.
Because the decimal was moved to right, the exponent is negative.
AYUDAAA!!
Compara 3/15 y 0.92
Step-by-step explanation:
[tex] \frac{3}{15} = \frac{1}{5} = 0.2 \\ 0.92 = \frac{23}{25} \\ 0.92 > 0.2[/tex]
half past 9:00p.m. what is half past of 9:00p.m.
Answer:
The answer is 9:30 pm :D.
PLEASE HELP ME! I REALLY NEED HELP
Answer:
a)
(i) 5.8 hours
(ii) 6.5 hours
(iii) 6 hours
(iv) 6 hours
b) 180 hours
En un grado pienzan diseñar targetas de cuidadores del ambiente para repartir en los comercios. cada una tendra una frase para concientizar, el nombre de la escuela y el grado. las targetas seran un cuadrado con 10 cm de lado. aqui tienes un papel de 30 cm de ancho x 30 cm de largo y un cuadrado de 10 cm x 10 cm. ¿Cuantos cuadrados crees que entran en la hoja? ¿cuantas tarjetas puedes hacer con la hoja?
Answer:
Entran 9 cuadrados en la hoja
Se puden hacer 10 tarejtas por que hay un cuadradro de 10*10 extra.
Step-by-step explanation:
El area de la hoja sera:
[tex]A_{Hoja}=30*30=900 \:cm^{2}[/tex]
Ahora el area de cada tarjeta es:
[tex]A_{tarjeta}=10*10=100\: cm^{2}[/tex]
Para determinar cuantos tarjetas entran en la hoja debemos vidivir las aras encontradas arriba:
[tex]\frac{A_{Hoja}}{A_{tarjeta}}=\frac{900}{100}=9[/tex]
Entonces entran 9 cuadrados en la hoja
Se puden hacer 10 tarejtas por que hay un cuadradro de 10*10 extra.
Espero te haya sido de ayuda!
A regular hexagon has a radius of 20 in. What is the approximate area of the hexagon?
600 in.2
1,038 in.2
1,200 in.2
2,076 in.2
Answer:
B
Step-by-step explanation:
A=(3*sqrt(3)*a^2)/2
A=(3*sqrt(3)*400)/2=1038
Answer:
B. 1,038 in.2
Step-by-step explanation:
I need helppppp!!!!!!!!
Answer:
√124
Step-by-step explanation:
Using the Pythagorean theorem, We got: x^2 + (√101)^2 = 15^2
x^2 + (√101)^2 = 15^2
x^2 = 15^2 - (√101)^2
x^2 = 225 - 101
x^2 = 124
x = √124
The answer is √124