What is the slope of the line that contains these point?
(13,11),(14,6),(15,1),(16,-4)
Answers
Answer:
Step-by-step explanation:
You can easily find the slope by using two points. Let’s use (13, 11) and (14, 6)
We look at the slope equation as: y2 - y1 divided by x2 and x1.
13 = x1 11= y1 and 14= x2 6=y2
Plug in: 6-11/14-13 and solve
Answer: -5
Hope I made sense :)
Answer:
Slope (m) = -5
Step-by-step explanation:
*If all the given four points are on a straight line then; the slope derived from first two points should be equal to the slope derived from the next to points.
Let's verify this ...
For the first two points:
Slope (m) = change in y ÷ change in x = [tex]\frac{6 - 11}{14 - 13} = \frac{-5}{1} = -5[/tex]
For the next two points:
m = [tex]\frac{-4 - 1}{16 - 15} = -5[/tex]
*Proved ∴ points (13,11) , (14,6) , (15, 1) and (16,-4) are on the same line.
We can find the equation of this line and ascertain that the four points are on a single line.Taking another point (x,y) on the line and point (13,11);
m = [tex]\frac{y - 11}{x - 13} = -5[/tex]
y = -5x + 65 + 11
y = -5x + 76
Let's graph this equation. (graph attached)
Related Questions
3x + x- 2x + 8 = 3x + x
Answers
Answer:
x=4
Explanation:
3x+x−2x+8=3x+x
Step 1: Simplify both sides of the equation.
3x+x−2x+8=3x+x
3x+x+−2x+8=3x+x
(3x+x+−2x)+(8)=(3x+x)(Combine Like Terms)
2x+8=4x
2x+8=4x
Step 2: Subtract 4x from both sides.
2x+8−4x=4x−4x
−2x+8=0
Step 3: Subtract 8 from both sides.
−2x+8−8=0−8
−2x=−8
Step 4: Divide both sides by -2.
−2x−2=−8−2
x=4
What is the slope of the line that passes through points (-3,5) and (11, 5)?
Answers
5 times a number is 6 less than the square of that number
Answers
Answer:
5x = x^2 - 6
Step-by-step explanation:
a number can be represented by x,
5 times a number can be represented as the product of 5 and x, 6 less than the square of that number tells us that this is equal to a number squared minus 6. is tells us that these two expressions are equal.
If you want a working number, just solve by completing the square once this is in standard form. This is then converted to vertex form.
x^2-5x-6 = (x-5/2)^2-49/4 = (x^2-5x+25/4) -49/4 = x^2-5x-6.
(x-5/2)^2-49/4=0
(x-5/2)^2=49/4
(x-5/2) = ±√49/4
(x-5/2) = ±7/2
x=5/2±7/2
x=(5±7)/2
x=12/2,-2/2
x=6,-1
Thus, the number can either be 6 or -1.
What are inverse functions?
Answers
If functions transfer some a to b via some formula, then inverse of such functions transfer b to a via some other formula.
Hope this helps.
What is the value of x that makes the equation true 2x+20=-2(4x-25)
Answers
2x + 20 = -2(4x - 25)
2x + 20 = -8x + 50
+8x +8x
_______________
10x + 20 = 50
-20 -20
_______________
10x = 30
__ __
10 10
x = 3
X Problem P5-9 (similar to)
Question Help
Based on the after-tax retums, at what federal tax rate (as shown in Chapter 4) is an investor better off choosing a tax-exempt 7 16 percent municipal bond over a
taxable 10.39 percent corporate bond?
The after-tax retum on the corporate bond when the tax rate is 10% is %
Answers
Answer:
The after-tax rate for the Corporate Bond when the tax rate is 10% is 9.35%
Step-by-step explanation:
The investor is better of at any rate above 30%, i.e 31% of tax rate would give the investor 7.1691% return ( 10.39 − ( 10.39 ⋅ 31 % ) )
Thus the return from the tax exempt municipal bond would be higher than the return from the taxable corporate bond.
The after-tax rate for the Corporate Bond when the tax rate is 10% is 9.35%( 10.39 − ( 10.39 ⋅ 10 % ) )
if set A. have numbers 5, 25, 15, and 35 can you describe set A ?
Answers
Answer:
Set A = { 5, 25, 15, 35 }the set of multiples of 5Step-by-step explanation:
Words to describe the set:
A set can also be described by just defining it using plain words. For example, the set A= {Monday, Tuesday, Wednesday, Thursday, Friday, Saturday, Sunday} can be described using words like “the set of days of the week”. Another example can be “the set of months of the year”.
x + 2y = 4
2x – 3y = 1
I will give brainiest
Answers
2 + 2(1) = 4
2(2) - 3(1) = 1
A college student borrows $2000
for 3
months to pay for a semester of school. If the interest is $41.25
,
find the monthly payment.
Answers
Answer:
707.91 dollars.
Step-by-step explanation:
2000 divided by 3 = 666.66
666.66 + 41.25 = 707.91
Answer:
the correct answer is 680.42
Step-by-step explanation:
Select the smallest fraction from the following fractions.
2/4, 3/6, 1,3, 7/9
Answers
Answer: 1/3
Step-by-step explanation:
2/4 and 3/6 can be simplified to 1/2.
1/3 is smaller than 1/2 because it have a larger denominator, but the same numerator.
Multiple 1/3 by 3/3 and you get 3/9, which is smaller than 7/9.
Fill in the blank. In the triangle below, zº = ___º
Answers
Answer:
[tex]\huge\boxed{43 \textdegree}[/tex]
Step-by-step explanation:
We can use basic angle relationships to find the measure of z.
We know that all angles in a triangle will add up to 180°. Since we already know two out of the 3 angles (47° and 90° - right angles are always 90°) we can add those two up and subtract from 180 to find out the missing angle length.
[tex]47+90=137\\\\180-137=43[/tex]
Hope this helped!
K divided by seven is 7
Answers
Answer:
K/7=7 K=49
Step-by-step explanation:
K=49 because if you multipy 7 and 7 because its the inverse operation you get 49.
Por qué estaría el cuervo parado en la rama de un árbol con un trozo de queso en el pico.
Answers
El cuervo está parado en una rama con un trozo de queso en el pico debido a que tenía la intención de reservarlo para otra ocasión. No obstante lo pierde por creer en el zorro.
¿Por qué estaría el cuervo parado en una rama de un árbol con un trozo de queso en el pico?El cuervo estaría parado en una rama de un árbol con un trozo de queso en el pico debido a que le gustaba reservar comida para tener provisiones disponible para ocasiones futuras. No obstante, en la fábula se menciona que se encuentra con el zorro que tiene el proposito de quitarle el trozo de queso.
Para ello, el zorro comienza a adular al cuervo para que cante y este cae en la trampa, soltando el trozo de queso. Luego de esto, el zorro toma el trozo de queso y se va.
Nota: Esta pregunta está incompleta debido a que tiene información faltante. A continuación se menciona la información faltante.
Fábula: El cuervo y el zorro.Aprenda más sobre fábulas en: https://brainly.com/question/12343277
#SPJ1
Which line is perpendicular to 3y + 2x = 9?
Options:
6x - 4y = 12
2x + 3y = 6
y + 3x = -2
y = -2x + 6
Answers
Answer:
2x + 3y = 6
Step-by-step explanation:
Complete the table to find solutions to the linear equation y=-10x+30
Answers
How many solutions does the following system have?
2x+3y=1
-3x - 2y= - 1
infinitely many solutions
two solutions
one solution
no solutions
Answers
Answer:
I'm pretty sure its one solutions
Step-by-step explanation:
Answer:
One solution
Step-by-step explanation:
B. One solution is the correct answer
Felix bought x pounds of grapes that cost $1.25 per pound and y boxes of cereal that cost $2.50 per box. He spent less than $10. Which graph represents this scenario?
Answers
Answer:
The Answer is B
Step-by-step explanation:
Trust me i did it
Answer:
B ANSWER IS B
Step-by-step explanation:
Indicate the equation of the given line in standard form. The line with slope 9/7 and containing the midpoint of the segment whose endpoints are (2, -3) and (-6,5).
Answers
Given parameters:
Coordinates of end points = (2, -3) and (-6,5).
Slope of line = [tex]\frac{9}{7}[/tex]
Unknown:
Equation of the line with the given slope = ?
Solution:
Let us find the coordinates of the mid-point of the line given.
Since the end points are (2, -3) and (-6,5);
Midpoint;
x, y = [tex]\frac{x_{1} + x_{2} }{2}[/tex] , [tex]\frac{y_{1} + y_{2} }{2}[/tex]
x, y = [tex]\frac{2 + (-6)}{2}[/tex] , [tex]\frac{-3 + 5}{2}[/tex] = -2 , 1
The coordinate of the mid point = -2,1
Equation of a line is;
y = mx + c
x and y are the coordinates
m is the slope
c is the y intercept
We need to find c in order to fully develop our equation;
y = mx + c
y = 1 , x = -2 and m = [tex]\frac{9}{7}[/tex]
So,
1 = [tex]\frac{9}{7}[/tex] x (-2) + c
c = 1 + [tex]\frac{18}{7}[/tex] = [tex]\frac{25}{7}[/tex]
Now, the equation of the line is;
y = -2x + [tex]\frac{25}{7}[/tex]
Multiply through by 7,
7y = -14x + 25
The equation of the line is 7y = -14x + 25
2. Rectangle A measures 8 inches by 2 inches. Rectangle B is a scaled copy of Rectangle
A. Select all of the measurement pairs that could be the dimensions of Rectangle B.
a. 40 inches by 10 inches
b. 10 inches by 2.5 inches
c. 9 inches by 3 inches
d. 7 inches by 3 inches
e. 6.4 inches by 1.6 inches
Answers
Answer:
a. 40 inches by 10 inchesStep-by-step explanation:
Given the measurement of Rectagle A = 8in by 2in. If rectangle B is a scaled copy, this means the length and with of the new triangle by be that of A multiplies by a constant factor.
If the scale is 5:1, this means that the dimension of Rectangle B is as shown;
Length of B = 5(8in) = 40in
Width of new Rectangle B = 2(5) = 10in
Hence the measurement pairs that could be the dimensions of Rectangle B are 40in by 10in
the rest of the measurement are not multiplied by a constant value.
You and your soccer team are interested in buying jerseys. The price of each jersey is $50. If you buy 4 jerseys, you will get 10% discount. How much do you have to pay if you buy 8 jerseys?
Answers
Answer: $4.84
Explanation:
County A: Multiply the price by the sales tax to find out how much money the sales tax will add. Remember to convert percent to decimal!
$75 * 0.0725 = $5.4375
Add the original price and the sales tax.
$75 + $5.4375 = $80.4375
County B: Multiply the price by the sales tax to find out how much money the sales tax will add. Remember to convert percent to decimal!
$70 * 0.08 = $5.6
Add the original price and the sales tax.
$70 + $5.6 = $75.6
Then take the difference.
80.4375 – 75.6 = 4.8375
Round to the nearest hundredth: $4.84
3x - 10x + 5 = 5x + 1
What is X?
Answers
Answer:
x=1/2
Step-by-step explanation:
What is the slope-intercept equation of the line below?
y-intercept = (0, -2)
slope = 4/5
Answers
Answer:
y=4/5x-2
Step-by-step explanation:
If an area can be washed at a rate of 2,700 cm2/minute, how many square inches can be washed per hour? Enter your answer with the correct number of significant digits. Use the equivalent measures indicated. (1 centimeter ≈ 0.39 inch, 1 hour = 60 minutes)
Answers
Answer:
250,000
Step-by-step explanation:
Simplify: (8 2/3)^4
Answers
Answer:
8^8/3
Step-by-step
Mr. Oates has 3/4 pound of oatmeal he uses 2/3 of the oatmeal to big muffins how much oatmeal does Mr. Courts have left
Answers
Answer:
1/12
Step-by-step explanation:
3/4-2/3 = 9/12-8/12 = 1/12
Select all the pairs of equivalent expressions. Need answer ASAP!
Answers
1. 2
2. 4
3. 5
Didn’t know how to write it out.
Which of the following does not represent a function?
Answers
$1.5 x 10^13 in decimal
Answers
what is 1232 dived by 77 ? please show work
Answers
Answer:
16 is ur answer
Step-by-step explanation:
1. open calculator
2. write 1232/77
3. get 16
In 2003 Nebraska had a population of 1,739,291 while Kansas had a population of 2,723,507. What was their combined population?
Answers
Answer:
4,452,798
Step-by-step explanation:
Hope this helps
