Answer: n = 2 ....... (2, -4)
Step-by-step explanation:
To find n, one must write the equation for the points given, which are (-2, 4) and (-4, 8). Remember, the standard linear equation is y = mx + b, where m is the slope of the line.
To find the slope, refer back to (y2-y1)/(x2-x1), or in this case, (8-4)/(-4+2), which gives us -2
With our slope of -2, we can write the equation as y = -2x+b. Now, we need to find b (the y-intercept) by plugging in a point as (x,y)
Let's use (-4,8) point and plug it into our linear equation: y = -2x+b
to get 8=(-2)(-4) +b
8=8+b
0=b (which means our y-intercept is 0)
Now, our official linear equation is y=-2x
The problem gives us (n, -4) where -4 y, so we plug in -4 as y in the equation to get:
-4=-2x
-4/-2=x
2 = x
And there we go :) I hope this helps!
Answer:
The value of n = 2.
Step-by-step explanation:
Given the following points passing through a line, (-2, 4), (-4, 8), and (n , -4) wherein we must find the value of n:
It helps to determine the equation of the line, using the slope-intercept form: y = mx + b, where:
m = slope (rate of change), which measures the steepness of the line.b = y-coordinate of the y-intercept; it is the point on the graph where it crosses the y-axis. Slope:In order to solve for the slope of the line, use the following slope formula:
[tex]\displaystyle\mathsf{m =\:\frac{y_2 - y_1}{x_2 - x_1}}[/tex]
Let (x₁, y₁) = (-2, 4)
(x₂, y₂) = (-4, 8)
Substitute these values into the slope formula.
[tex]\displaystyle\mathsf{m =\:\frac{y_2 - y_1}{x_2 - x_1}}[/tex]
[tex]\displaystyle\mathsf{m =\:\frac{8 - 4}{-4 -(-2)}\:=\:\frac{4}{-4+2}\:=\Frac{4}{-2}\:=\:-2}[/tex]
Hence, the slope of the line is: m = -2.
Y-intercept:Next, we must solve for the y-intercept. Since it is the point where the graph crosses the y-axis, set x = 0 and solve for the value of y.
Use the slope, m = -2, and one of the given points, (-2, 4), and substitute these values into the slope-intercept form to solve for the value of the y-intercept, b:
y = mx + b
4 = -2(-2) + b
4 = 4 + b
Subtract 4 from both sides:
4 - 4 = 4 - 4 + b
0 = b
The y-intercept is: b = 0.
Linear Equation in Slope-intercept Form:Therefore, the equation of the line in slope-intercept form is:
y = -2x + 0 or y = -2x.
Find the value of n in (n, -4)In order to determine the value of n, substitute its corresponding y-coordinate, -4, and substitute into the equation in the previous step:
Set y = -4:
y = -2x
-4 = -2x
Divide both sides by -2 to solve for x:
[tex]\displaystyle\mathsf{\frac{-4}{-2}\:=\:\frac{-2x}{-2}}[/tex]
x = 2
Therefore, the value of n = 2.
If f(n) = -3n + 10 what is the 5th term???
-2x - (1 - 8x) + x - 10
Answer:
7x-11
Step-by-step explanation:
Answer:
7x-11=
X= 11/7
Step-by-step explanation:
4p - 3=17
Please help
Answer:
hey there,
4p=17+3p=20/4So now p=5Step-by-step explanation:
#BEBRAINLYAnswer:
5
Step-by-step explanation:
17+3=20
4×5=20
20-17=3
NO LINKS PLEASE HURRY I REALLY NEED HELP
Answer:
The choice;
[tex] - 1.45x - 3.41[/tex]
I hope I helped you^_^
Answer:
[tex]3.81x - 5.26x - 4.94 + 1.5 = \\ = - 1.45x - 3.41[/tex]
Find the slope of the line graphed below. m=(
Answer:
m = 2
Step-by-step explanation:
Rise:4 and run=2
4/2 = 2
hello there
I am looking for help here pls
Answer:
b
Step-by-step explanation:
I'm not sure how to explain this if it is correct plz mark as brainiest
An angle measures 64.8° more than the measure of its supplementary angle. What is the measure of each angle?
Answer: angle 1 = 56 and angle 2 = 124
Step-by-step explanation:
Supplementary angle equal 180 degrees
let X be angle 1 and X +68 be angle 2
x + x + 68 = 180
2x + 68 = 180
- 68 - 68
2x = 112
x = 56
x + 68 = 56 + 68 = 124
You have 100 coins worth $6.95. All of the coins are nickels and dimes. How many nickels and how many dimes do you have? Write a system that represents the situation. Estimate the solution using a graphing calculator.
Answer:
61 Nickels and 39 Dimes
Step-by-step explanation:
you have $3 and 5 cents in nickels and 3$ and 90 cents in Dimes
it all equals 100 coins all together
The number of dimes is 39 dimes
The number of nickels 61 nickels
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the number of dimes be = x
Let the number of nickels be = y
So , total number of coins = 100
x + y = 100 be equation (1)
And , the total amount = $ 6.95
The cost of one dime = $ 0.10
The cost of one nickel = $ 0.05
So , total cost = 0.10x + 0.05y = 6.95 be equation (2)
Now , on simplifying equation (1) and equation (2) , we get
x + y = 100
10x + 5y = 695 be equation (3)
Divide equation (3) by 5 , we get
2x + y = 139 be equation (4)
Now , Subtracting equation (1) from equation (4) , we get
x = 39
Therefore , the number of dimes is 39 dimes
Substituting the value of x in equation (1) , we get
x + y = 100
y + 39 = 100
Subtract 39 on both sides of the equation , we get
y = 61
Therefore , the number of nickels is 61 nickels
Hence ,
The number of dimes is 39 dimes
The number of nickels 61 nickels
To learn more about equations click :
https://brainly.com/question/10413253
#SPJ2
what is the equation of the blue line
Answer: y+-1m -1
Step-by-step explanation:
0.25x+2.25x+0.25=2.5x+0.25 equals
Answer:
0
Step-by-step explanation:
combine the same variables
Answer: Infinite Solution
Step-by-step explanation: 2.5x+0.25=2.5x+0.25, since the equations are equal, any number you plug in will be the same.
Find the values of x, y, and z in the triangle to the right.
Answer:i think 24
Step-by-step explanation:
Which expression does not have a solution of 9, if w = 4? 5 + w w + 5 13 - w 5 - w
Answer:
5 - w does not have a solution of nine.
Step-by-step explanation:
5 - 4 = 1
In the fourth grade at Jefferson elementary School, there are 125 students. In the fifth grade, there are 136 students. How many total students are there in fourth and fifth grade?
answer is 261
Step-by-step explanation:
add both numbers together
PLEASE HELP WILL MARK BRAINIEST!! TY
Answer:
y=3x-36
Step-by-step explanation:
slope must be negative reciprocal
-1/3 changes to +3
then use point slope form with new points TO FIND NEW Y INTERCEPT
y=MX+B
0=3(12) + b
b= -36
new problem is y= 3x-36
Ax + b =0 solve for a
X/4=-5/20
Algebra
Solve for x
Answer:
Algebra =
X/4 = -5/20
Simplify :
X/4 = -1/4
Of course, Will same x/4 = -1/4
Answer : X = -1x = -1
Step-by-step explanation:
[tex]\begin{aligned}\tt\frac{x}{4}&=\tt\frac{-5}{20}\\\tt 20x&=\tt -5\times 4\\\tt 20x&=\tt -20\\\tt x&=\tt -1\end{aligned}[/tex]
WILL GIVE BRAINLIEST, EXTRA POINTS, THANK YOU, AND STARS!!!
Answer:
162kph (i think, sorry if im wrong)
Which means 486km in 3 hours....
Step-by-step explanation:
Hope this helps!
Helpppppppp!!! it’s urgent
Answer:
6
Step-by-step explanation:
75-6=4y+4y+3.5y
or 11.5y=69
or y=69\11.5
=6
Answer:
- 7.5 y - 4y= 6 - 75
Step-by-step explanation:
= - 11.5y = -69
= y = 6
Please help screenshot attached have 1 hr 30 mins
Answer:
$202.80
Step-by-step explanation:
y=0.08x+1/20
x=2520
y=0.08x+1.20
0.08*2520+1.20
201.6+1.20
$202.8
Given j ∥ k and m∠2=100° .
What is m∠5 ?
Enter your answer in the box.
Answer:
∠5 = 80
Step-by-step explanation:
∠4 = ∠2 {Corresponding angles are equal}
∠4 = 100
∠5 + ∠4 = 180 {linear pair}
∠5 + 100 = 180
∠5 = 180 - 100
∠5 = 80
12 1/2, 3 3/4 what is the distance between the two
Answer:
Estimate the following (by rounding off to nearest hundred (a)6,941 (b)6,320 (c) 416 (d)126 (e)109 (f)202 (g) 146 (h)7,699 (I)8,311 (j)986
Step-by-step explanation:
What is 12*12 in active numbers?
Answer:
144
Step-by-step explanation:
12x12= 144
36. Is 12 a divisor of 48?
Answer:
yes
Step-by-step explanation:
a divisor is a number that you use to divide another one. 48 divided by 12 is 4. Therefore, 12 is a divisor of 48
what is the square root of ten
Answer:
3.16227766017 is the answer
Answer: 3.16227766017
Step-by-step explanation:
Or you could round and get 3.2 or 3.16
Karen has two dogs. The larger dog weighs 1.4 pounds more than the
smaller dog. The combined weight of the two dogs is 12.6 pounds. What is
the weight, in pounds, of the smaller dog? Only type in a numeric
response.
Answer:
11.2
Step-by-step explanation:
Find the difference and express your answer in scientific notation.
(8.9 x 10^-6) - (6.7 x 10^-8)
Difference:
How much greater is [tex]8.9*10^8[/tex] than [tex]1.6*10^6[/tex]? Express your answer using either standard notation or scientific notation.
[tex]8.9*10^8 - 1.6*10^6[/tex]
[tex]890,000,000-1,600,000[/tex] Convert to standard notation
[tex]888,400,000[/tex] Standard Notation
[tex]8.884*10^8[/tex] Scientific Notation
Who can answer this?
Answer:
B
Step-by-step explanation:
HELP PLS its due tomorrow
Indicated operation? Perform it?
what is the value of the function when x = 0?
Answer:
f(0) = -2.
Step-by-step explanation:
This question pertains to the y-intercept. By definition, the y-intercept is the point on the graph where it crosses the y-axis, and has coordinates, (0, b). It is also the value of y when x = 0. Looking at the graph, the point where the line crosses the y-axis is (0, -2). The y-coordinate is the y-intercept, b.
Therefore, the value of the function when x = 0 is: f(0) = -2.