Answer:
m [ slope ] = 8/3
Step-by-step explanation:
What is the slope of the line that passes through the points (5, 1) and (2, -7)?
m = ∆y / ∆x
m = y₂ – y₁ / x₂ – x₁
| (5, 1) → (x₁, y₁) | (2, -7) → (x₂, y₂) |
[each coordinate will correspond (directly go to) to the variables shown]
m = (-7) – (1) / (2) – (5)
m = -8 / -3
m = 8 / 3
This means that this line has a rise of 8 and a run of 3.
Up 8 and right 3 proportionally, it would touch the opposite corners of a plane that was 8 by 3 units.
Slope can be thought of as the steepness of a line, the greater the slope, the greater the steepness.
These points are generally known as cartesian coordinates.
____________
Once you have the slope, you can back track from one of the coordinates to find the equation of the line.
Just multiply the slope by the x of either coordinate, make it opposite, and then add that to the y of that coordinate to get b [the y-intercept; where it crosses the y axis, x is always 0]
Since (2, -7) is closer to the y axis than (5, 1) it is more convenient.
In (2, -7), 2 is the x variable and -7 is the y variable.
-mx + y = (-8/3)(2) + (-7) = -16/3 + (-21/3)
21/3 is the same as 7 [so it will have a common denominator].
-16 + -21 / 3 = -37/3 = b
Thus this line has an equation of
y = mx + b
↓ ↓
y = 8/3x – 37/3.
__________________________
Or you can refer to point slope which is what is taught:
y – y₁ = m(x – x₁).
You can tell that there are some similarities to this and the slope formula.
m = ( y₂ – y₁ / x₂ – x₁ ) →
m × ( x₂ – x₁ ) =
( y₂ – y₁ / x₂ – x₁ ) × ( x₂ – x₁ )
[multiply the denominator by both sides]
m ( x₂ – x₁ ) = y₂ – y₁
[x₂, and y₂ can just be x and y since you only need the initial coordinate and slope, because the second coordinate can be anything along that line]
m ( x – x₁ ) = y – y₁ →
y – y₁ = m(x – x₁)
[symmetric property of equality]
if a = b, b = a.
Can see please help me with the 2 equations (in the picture) find x
Answer:
1. x = 2
2. couldn't figure out. sorry
Step-by-step explanation:
It says a=lw not a=ew
pls answer
Answer:
width = 126 ft
Step-by-step explanation:
I'm going to assume that I am solving for width.
Area = width x length
84 = 2/3 x width
Now divide 84 by 2/3 to get the width (when you divide by a fraction, you actually multiply by its reciprocal, so it is 84 times 3/2)
84 x 3/2 = width
width = 126 feet
Please help me find the area of the shape
Answer:
96 units^2
Step-by-step explanation:
area of a triangle A=bxh/2
substitute b with 8 and h with 24
A=8x24/2
multiply
A=193/2
the divide
A=96
PLEASEE MY LAST POINTS!!!!!! PLEASE HELP :(
What method can be use to prove the triangles below are congruent?
options:
not congruent
sas
asa
sss
A grocery store sells a bag of 8 oranges for $6.24. If Chase spent $8.58 on oranges, how many did he buy?
Answer:
11 oranges
Step-by-step explanation:
6.24÷8=0.78
1 orange=0.78
8.58÷0.78=11
Chase bought 11 oranges.
Hope this helped!
What is the product of -6x3 and 2x5?
Answer:
for the first one it's going to be -30 and the second one is 10
The approximate volume is ___ cubic centimeters. Do not round your answer.
Use 3.14 for π.
Answer:
:>
Step-by-step explanation:
yufgvhjbfhbvnfmnbjgfkjbingmknb jgkfbm jnnmnnnnnn
Nicole finishes walking at 5:15 she walked away from her house for 17 minutes and then walked back which took 17 minutes at what time did Nicole leave her house to start walking
Answer:
4:51
Step-by-step explanation:
The sum of two numbers is 11. Twice the first number minus the second number is 7
Find the numbers.
Answer:
6 and 5
Step-by-step explanation:
6 * 2 = 12
12 - 5 = 7
6 and 5 is your answer
Answer: 6; 5
Step-by-step explanation:
Based on the questions, we set up two equations, let the x be the first number, and y be the second number.
x + y = 11
2x - y= 7
x = 11 - y [Subtract y from both side]
2x - y = 7
2(11 - y) - y = 7 [Plug in 11-y for x, solve for y]
22 - 2y - y = 7
22 - 3y = 7
-3y = -15 [Subtract 22 from both side]
y = 5
x + y = 11 [Plug in 5 for y, solve for x]
x + 5 = 11 [Subtract 5 from both side]
x = 6
The diagram below gives the lengths of all but one side of pentagon ABCDE. What is the
perimeter of pentagon ABCDE?
12 cm
Perimeter =
8 cm
4cm-
15 cm
hurry asap i need it by tomorrow!!
Answer:
44
Step-by-step explanation:
[tex]BC^{2} = (15-12)^{2} + (8-4)^{2}\\BC^{2} =9 + 16\\BC = \sqrt{9+16} \\BC = \sqrt{25} \\BC = 5[/tex]
P = 12 + 15 + 8 + 4 + 5 = 44
i have two questions
question 1:
N% of 15 is 6
Question 2:
18 is N% of 32
Whats the answer?
Answer for question 1 is Percentage Calculator: 6 is what percent of 15? = 40.
Answer for question 2 is What is 18 percent (calculated percentage %) of number 32? Answer: 5.76.
hope it helps. Please mark me Brainleist please.
Answer:
1. 40%
2. 56.25%
Step-by-step explanation:
1. N% of 15 = 6
N/100 x 15 =6
N = (6 × 100)/15
N = 40
2.N% of 32 = 18
N/100 x 32 = 18
N = (18 x 100) /32
N= 56.25
please help me i would really appreciate it
i will mark brainliest if you dont play around
Answer:
Step-by-step explanation:
The total number of triangles is 5
The total number of all shapes is 13
The ratio is triangles to total
The ratio is 5 to 13
Note
This problem is not very well defined. Notice the circle at the bottom left. It's less than 1/2 a circle. Question: do you count it or don't you. The answer to that question will influence other partial figures.
All you do is count the total number of figures and the number of triangles. I did count the part circle on the lower left as with the triangles that are missing their tops.
What does the variable "b" stand for in exponential functions represented by the equation y = a(b)ˣ
Answer:
The rate of growth or decay
Explanation:
If b was above 1 (i.e. 1.01, 1.02) then it is an exponential growth function and if b was below 1, then it is an exponential decay function
Please answer correctly and no giving links.
the diameter of a bike wheel is 25 inches. If the wheelmakes 20 Complete rotations, how far does the bike travel?
Answer:
1571 in
Step-by-step explanation:
Given data
Diamter= 25 in
radius= 25/2= 12.5in
Circumference= 2πr
substitute
C=2*3.142*12.5
C=78.55in
In 1 revolution the bike will travel 78.55in
in 20 revolutions the bike will travel
=78.55*20
=1571 in
solve for x plezzzzzz
Step-by-step explanation:
x-5 = 12
X = 17
hope this helps
Need help quick! Will give brainliest to first right answer.
Which system of equations has no solution?
O 5x+5y = 10 and 2x+2y=4
O 3x-6y = 4 and - 4x+8y=7
O 6x+2y = 6 and 7x+3y=9
O 3x-4y = 16 and 2x+3y = 5
Answer:
the first one or the last one
Step-by-step explanation:
5x+5y = 10 and 2x+2y=4
0 = 0
3x-6y = 4 and - 4x+8y=7
0 = 37 / 3
6x+2y = 6 and 7x+3y=9
0 = 3
3x-4y = 16 and 2x+3y = 5
x=4 and y=−1
Is 8 a solution to 1 2 x+9=13? Explain.
[tex]12x+9=13\\2x=4\\x=2[/tex]
So no.
Luis is 0.25 meters shorter than Harry, if Luis is 1.7 meters tall determine Harry’s height.
Answer: 1.95
Step-by-step explanation:
Luis is Harry's height minus 0.25m, which means Harry is Luis' height plus 0.25m.
Luis + 0.25 = Harry
1.7 + 0.25 = 1.95 m
What is the solution to -3x+23-7?
O x>-12
O x>12
O x<12
O x<-12
Which shows how to rewrite 4 x 47
using the Distributive Property?
Answer:
B) 4(40 + 7)
Step-by-step explanation:
First: Add 40 + 7 = 47
Second: Multiply 47 x 4 = 188
The table shows all of the possible outcomes of rolling two dice. If Jerome were to roll two dice 48 times, about how many times could he expect to roll doubles?.
NEED ANSWERS PLSS HELP
For #4, one of your classmates gave the answer, 72. What mistake did they make?
Solve the system of equations
Answer:
Step-by-step explanation:
Answer:
x=−6,y=24
x=2,y=−8
Step-by-step explanation:
Graph if needed:
When completing addition and subtraction, according to the order of operations you should always complete the addition first. Is that true or false?
False. You have to do it left to right or you can do it in a different order but you can't change the signs.
Write an explicit formula for a_na
n
, the n^{\text{th}}n
th
term of the sequence 45, 15, 5, ...45,15,5,....
Answer:
the answer is 3n+7 please do you get it
In Kite KLMN, find the measure of
Answer:
M = K =
101°Step-by-step explanation:
M = K, because it's a kite.
Kite has 2 angles on the left and right, each with the same size,The kite also has different angles at the other angle points.(Addition of kite angles result in 360°)
Therefore
360 = 63 + 95 + 2M
2M = 360-63-95
2M = 202
M = 202÷2
M = K = 101°
The size of each angle M and angle K = 101 degrees.
____________________
#IndonesianPride - kexcvi
#MerdekaMerdeka
Slope
Rate Of Change
Pls Help
Answer:
-1/2
Step-by-step explanation: