A straight line is represented by a linear function.
The equation of the line is [tex]y = -\frac 14 x[/tex]
From the coordinate plane, the line passes through the following points
[tex](x,y) =(0,0)\ (4,-1)[/tex]
The slope of the above points is calculated using:
[tex]m = \frac{y_2 -y_1}{x_2 -x_1}[/tex]
So, the above equation becomes
[tex]m = \frac{-1 - 0}{4-0}[/tex]
This gives
[tex]m = \frac{-1}{4}[/tex]
Rewrite as:
[tex]m = -\frac{1}{4}[/tex]
The line equation is then calculated as:
[tex]y = m(x-x_1) + y_1[/tex]
So, we have:
[tex]y = -\frac 14 (x-0) + 0[/tex]
This gives
[tex]y = -\frac 14 (x)[/tex]
Remove bracket
[tex]y = -\frac 14 x[/tex]
Hence, the equation of the line is [tex]y = -\frac 14 x[/tex]
Read more about line equations at:
https://brainly.com/question/4074386
Which of the following is the correct value of x?
A. 62
B. 31
C. 118
D. 56
Answer:
31°
Step-by-step explanation:
The sum of interior angles in a triangle is equal to 180° we can calculate the measure of missing angles using this information
The given triangles are isosceles I have drawed the on the shape, check out the attachment olease.
Can someone please help me with math.
Answer:
6. B
7. D
Step-by-step explanation:
[tex]\sqrt{4}[/tex] = 2
Point A Before: ( 1 , 3 )
1 - 4 = -3
3 - 2 = 1
( -3 , 1 )
hope this helps
Two angles of a quadrilateral measure 110° and 120°. The other two angles are in a ratio of
3:10. What are the measures of those two angles?
Answer:
30, 130
Step-by-step explanation:
sum of internal angles in a quadrilateral is 360.
sum of other two angles
[tex] = 360 - (120 + 110) \\ = 360 - 230 \\ = 130[/tex]
simplify fully
35x3yz2/21x2y3z
Answer:
[tex]\frac{5xz}{3y^{2} }[/tex]
Step-by-step explanation:
Answer:
Step-by-step explanation:
i is a good game and a good idea but it needs more people who are not the only ones that they were playing in a few weeks ago i dont have a game on joke
1.
The equation of the line having x-intercept -3/2, y-intercept 3/4 is
1) 3x + 2y - 6 = 0
2) 2x - 4y + 3 = 0
3) 2x + 3y - 5 = 0
4) 4x - 3y - 12 = 0
O
1)
2)
O
3)
O
4)
Answer:
2nd option
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- [tex]\frac{3}{2}[/tex], 0) and (x₂, y₂ ) = (0, [tex]\frac{3}{4}[/tex] )
m = [tex]\frac{\frac{3}{4}-0 }{0+\frac{3}{2} }[/tex] = [tex]\frac{\frac{3}{4} }{\frac{3}{2} }[/tex] = [tex]\frac{1}{2}[/tex] and c = [tex]\frac{3}{4}[/tex] , then
y = [tex]\frac{1}{2}[/tex] x + [tex]\frac{3}{4}[/tex] ( multiply through by 4 to clear the fractions )
4y = 2x + 3 ( subtract 4y from both sides )
0 = 2x - 4y + 3 , that is
2x - 4y + 3 = 0 ← equation of line
The exterior angles of a pentagon are (m+5)°, (2m+3)°, (3m+2)°, (4m+1)° and (5m+4)° respectively. Find the measure of each angle.
Answer:
Step-by-step explanation:
Sum of exterior angles of any polygon =360°
Sum of exterior angles of polygon = 360°
m + 5 + 2m + 3 + 3m + 2 + 4m + 1 + 5m + 4 = 360
m + 2m + 3m + 4m + 5m + 5 + 3 + 2 + 1 + 4 = 360 {Combine like terms}
15m + 15 = 360 {Subtract 15 from both sides}
15m = 360 - 15
15m = 345 {Divide both sides by 15}
m = 345/15
m = 23
m + 5 = 23 + 5 = 28°
2m + 3 = 2*23 + 3 = 46 + 3 = 49°
3m + 2 = 3*23 + 2 = 69 + 2 = 71°
4m + 1 = 4*23 + 1 = 92 + 1 = 93°
5m + 4 = 5*23 + 4 = 115 + 4 = 119°
Answer:
see explanation
Step-by-step explanation:
The sum of the exterior angles of a polygon = 360°
Sum the angles and equate to 360
m + 5 + 2m + 3 + 3m + 2 + 4m + 1 + 5m + 4 = 360, that is
15m + 15 = 360 ( subtract 15 from both sides )
15m = 345 ( divide both sides by 15 )
m = 23
Then
m + 5 = 23 + 5 = 28°
2m + 3 = 2(23) + 3 = 46 + 3 = 49°
3m + 2 = 3(23) + 2 = 69 + 2 = 71°
4m + 1 = 4(23) + 1 = 92 + 1 = 93°
5m + 4 = 5(23) + 4 = 115 + 4 = 119°
SHOW YOUR WORK
9 ÷ 4.5 = ?
Answer: 2
Step-by-step explanation:
Change the divisor 4.5 to a whole number by moving the decimal point 1 places to the right. Then move the decimal point in the dividend the same, 1 places to the right.
We then have the equations:
90 ÷ 45 = 2
and therefore:
9 ÷ 4.5 = 2
Can someone help me on this plzzz
Please help I need an answer soon
Answer:
I think D
Step-by-step explanation:
I think mean is center, or the center of the data. Range is the spread of data, or how far it is spread.
❗❗❗❗After the February phase of the revolution, what major mistake did the new provisional government make that would make it more susceptible to being overthrown?
ASAP Giving you 100 points ❗❗❗❗
Answer: c
Step-by-step explanation:
Answer:
again, did some reading, they make note of continuing battle to support Serbia. I saw nothing of Japan. so my calculated guess would be the 2nd one. to continue in battle even with heavy casualties
Step-by-step explanation:
doesn't mean I'm right though.
A regular Hexagon with side length = 9.6 meters. What is the total area of the shape? Round to two decimal places at the end of tour calculation.
Answer:
A= 239.328 meters²
Step-by-step explanation:
A=n(b)(h)/2
n=6
b=9.6
h=8.31
F r e e points!!!!!!!!!!!!!!!!!
Answer:
gang
Step-by-step explanation:
Answer:
Thanks so much!!
Step-by-step explanation:
Hep please will give brainiest and other!!!
Write an equation of the line that passes through the points (-3, -9) and (5, -9).
y = -9
Ok so to write the equation of the line you will need the slope and y-intercept. Since we are given two-point we can easily find the slope by using this equation for slope formula:
[tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
So now that we have our equation we can just plug in the numbers:
[tex]\frac{(-9)-(-9)}{5-(-3)}[/tex]
After subtracting you should get:
0/8
Since zero is in the numerator and you can't divide zero by anything, the slope is 0. We still need the y-intercept for the equation however since the slope is 0 there is no need to put anything else.
Then to find the y-intercept all you have to do is plug in one of the coordinatines into the slope equation to solve, for example, using the point (5,-9):
[tex](-9) = 5(0) + b[/tex]
B is the variable for the y-intercept. Also notice how I put 0 as our slope into the equation. Now all you have to do is solve for b. Which you would get b = -9. Since you have your slope and your y-intercept now you just write out your equatoin for the line which is:
y = 0x - 9
**Just write it as
y = -9
Answer:
Y = -9
Step-by-step explanation:
You're welcome and have a nice day
What is the value of x in the equation −8 + x = −2? (1 point)
−10
−6
6
10
Which of these correctly rearranges the terms in this polynomial so like terms are next to each other
Question is not complete, so i have attached it.
Answer:
B: -2x² - 6x² - 6x + 3x + 3 + 2
Step-by-step explanation:
From the image attached, the given polynomial is;
3 - 6x - 2x² + 3x - 6x² + 2
For like terms to be next to each other, we have to rearrange it as follows;
-2x² - 6x² - 6x + 3x + 3 + 2
Like terms are x² and x, thus they are now arranged next to each other.
The only option that corresponds to our answer is option B
Select the correct triangles
Identify the triangles that are right triangles
Answer:
1st and 4th are the right triangles
The question is in the picture above^
WHICH OF THE FOLLOWING ANGLES CANNOT BE CONSTRUCTED USING
RULER AND COMPASSES?
(a) (b) 85 (c) 15 (d) 135
what is the value of z so that -9 and 9 both are solutions of x^2+ z= 103?
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Answer: z=22
Explanation:
9^2 + z = 103
81 + z = 103
103 - 81 = z
22 = z
I hope this helped!
<!> Brainliest is appreciated! <!>
- Zack Slocum
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
~~Answer~~
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The answer you seek is z = 22. :3 Step by step explanation is best explained by the user above. Hope we helped! :D
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I really need help!!!!! Correct answers only, look at the screenshot
15 POINTS NEED ASAP PLS!!!!
The table shows the rates for sending text messages. Are the rates proportional??
Explain.
I need this quick pls answer thanks
Answer:
Need a pic to answer your question
The volume in a single layer is 18 cubic centermeters. There are 5 layers in the rectangular prism. What is the volume in cubic centimeters of this rectangular prism
Answer:
the volume of the rectangular prism is 90 cm^2
Step-by-step explanation:
The computation of the volume of the rectangular prism is shown below:
Given that
The volume in a single layer is 18 cubic centimeters
And, there are 5 layers in the rectangular prism
So based on the above information
The volume of the rectangular prism is
= 5 ×18 cubic centimeters
= 90 cm^2
Hence, the volume of the rectangular prism is 90 cm^2
In the accompanying diagram of circle O, mAB = 64 and
m
What is the measure of CD?
A 104°
B 80°
C 52°
D 40°
Answer:
D 40°
Step-by-step explanation:
52= X + 64 /2
*2. *2
104 = X + 64
-64 -64
40 =X
I need help with this question, I already know the answer but I need someone to explain step by step
Question: 3x-y=5
Answer: y=3x-5
Answer:
y=3x-5
Step-by-step explanation:
so step by step would go like this
1) add Y to the opposite side
3x=Y+5
2)Subtract 5 from the side with Y
y=3x-5
145/250 = ??
Giving brainliest
Answer:
exact form= 29/50
decimal form= 0.58
percent form= 58%
Step-by-step explanation:
Answer:
58%
Step-by-step explanation:
Considere un proceso industrial en el que se producen vigas de acero las cuales pueden tener defectos de dureza y peso. En el caso de un defecto en la dureza requiere de un estudio de laboratorio. Sin embargo, de procesos anteriores se sabe que 12% de las vigas no pasan la prueba de dureza, que 7% no pasan la prueba de pesado y que sólo 0.5% no pasan ninguna de las dos pruebas.
Si en el proceso se elige una viga al azar y una medición rápida identifica que no pasa la prueba de dureza, ¿cuál es la probabilidad de que el pesado no sea el correcto?
Step-by-step explanation:
PRUEBA DE HIPÓTESIS” CONTROL ESTADÍSTICO DE PROCESOS “PRUEBA DE HIPÓTESIS” IV – “A”
2. 2 “PRUEBA DE HIPÓTESIS” "AÑO DE LA PROMOCIÓN DE LA INDUSTRIA RESPONSABLE Y DEL COMPROMISO CLIMÁTICO" UNIVERSIDAD NACIONAL “SAN LUIS GONZAGA” DE ICA FACULTAD DE ADMINISTRACIÓN “PRUEBA DE HIPÓTESIS” Curso : CONTROL ESTADÍSTICO DE PROCESOS Doctor : Dr. ORLANDO GABRIEL HERNÁNDEZ Año : IV - “A” Turno : MAÑANA Autores : CARRILLO MAMANI, GERALD FLORES JAUJE, LUIS HUARIPAUCAR GAMBOA, SONIA OCHOA SUAREZ, GIUSEPI 2014
3. 3 “PRUEBA DE HIPÓTESIS” INTRODUCCIÓN Es evidente que las distribuciones muestrales, vistas en el capítulo anterior, basadas en la teoría de la distribución normal, desarrollan un papel de gran importancia en la inferencia estadística. La inferencia estadística comprende dos partes principales, a saber: la estimación de parámetros y la prueba o docimasia de hipótesis. En este capítulo estudiaremos la segunda de ellas, con el fin de desarrollar métodos y observar su aplicación a problemas corrientes de la vida diaria. La inferencia estadística está basada en el supuesto de tomar muchas muestras, todas con igual probabilidad de ser seleccionadas y a través de una de ellas sabremos algo acerca de la población, mediante el cálculo de estimadores, que nos permitan hacer aseveraciones, incorrectas algunas veces, estableciéndose la probabilidad de error. Este método se basa en la aplicación de técnicas de muestreo, para lo cual se requiere de un buen diseño, además de la aplicación de métodos aleatorios de selección, cuando las probabilidades son iguales para cada elemento de una población. En algunos casos no requieren ser iguales, siempre que se conozcan y sean diferentes a cero. CONTENIDO Conceptos generales, usos y procedimientos de aplicación. Pruebas de hipótesis con aplicaciones en distribuciones de: Medias, Proporciones. Teoría de las muestras pequeñas. Distribución “t” de
Mark is increasing his exercise routine by running and walking at least 4 miles each day. His goal is to burn a minimum of 1,500 calories from this exercise. Walking burns 270 calories/mile and running burns 650 calories. Could he meet his goal by walking 3 miles and running 1 mile?
Answer:
No
Step-by-step explanation:
1. (270 * 3) + (650 * 1)
2. 810 + 650
3. 1,460 miles. Therefore, by doing this, Mark would have trekked 1,460 miles.
4. 1500 > 1460, so Mark would not meet his goal by doing this.
m∠A = 50°, c = 25, a = 19, m∠C=?
Using the Sine Law
Answer:
m<C can not be computed
Step-by-step explanation:
m∠A = 50°, c = 25, a = 19, m∠C=?
Using the Sine Law
a/sin m<A = c/sin m<C
Substitute the given values
19/sin50 = 25/sinC
19sinC = 25sin50
19sinC = 19.1511
sinC = 19.1511/19
sinC = 1.0079
C = arcsin1.0079
Hence m<C can not be computed
The measure of two angles are (3x+50) and (4x - 10). What must be true
about the angles if x = 20? What is the sum of their measures?
Answer: The two angles add up to 180 so they are supplementary angles.
The sum of their measures is 180 degrees.
Step-by-step explanation:
Plug in given value for x.
x=20
(3x+50)=
(60+50)=110
110
(4x-10)=
80-10=70
70
There are several true things about these angles you can find from this information but I think you are looking for the answer at top.
Arc JHL represents what part of the circle?
Explanation is in a file
bit.[tex]^{}[/tex]ly/3a8Nt8n