What is the slope of the line that passes through the points (8, 7)(8,7) and (4, 5) ?(4,5)? Write your answer in simplest form.
Answers
Work shown in attached image:
The slope of the line is 1 / 2. The equation of the line is y = 1/ 2 x + 3.
What is an equation of the line?An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.
The general form of the equation of the line:-
y = mx + c
m = slope
c = y-intercept
Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given that the line passes through points (8, 7) and (4, 5). The slope of the line will be calculated as,
Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )
Slope = ( 5 - 7 ) / ( 4 - 8 )
Slope = -2 / -4
Slope = 1 / 2
Calculate the y-intercept,
y = mx + c
5 = 1 / 2 x 4 + c
c = 5 - 2 = 3
The equation is written as,
y = mx + c
y = 1/2x + 3
Therefore, the slope of the line is 1 / 2. The equation of the line is y = 1/ 2 x + 3.
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Related Questions
Two trains are traveling at a constant rate. Find the rate of each train
Answers
Train B is moving at a constant speed of =20mph
(1, 4) is a solution of the graph. True or False
y
4
2
2
-2
2
х
21
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26. the type of tissue that sends
electrical signals through the
body
Answers
Answer:
Nervous tissue
Step-by-step explanation:
Nervous tissue sends electrical signals. Muscle tissue helps produce movement. Connective tissue joins, protects, and cushions organs.
A farmer with 5000 feet of fencing wants to enclose a rectangular field and then divide it into two plots by adding a fence in the middle parallel to one of the sides. Using the function A(x) , analytically find the WIDTH of the field that would maximize its area. (Round your answer to the nearest whole number)
Answers
Answer:
The required width of the field that would maximize the area is = 1250 feet
Step-by-step explanation:
Given that:
The total fencing length = 5000 ft
Let consider w to be the width and L to be the length.
Then; the perimeter of the rectangular field by assuming a parallel direction is:
P = 3L + 2w
⇒ 3L + 2w = 5000
3L = 5000 - 2w
[tex]L = \dfrac{5000}{3} - \dfrac{2w}{3}[/tex]
Recall that:
The area of the rectangle = L×w
[tex]A(w) = ( \dfrac{5000}{3}-\dfrac{2}{3} ) w[/tex]
[tex]A(w) = \dfrac{5000}{3}w-\dfrac{2}{3} w^2[/tex]
Taking the differentiation of both sides with respect to t; we have:
[tex]A' (w) = \dfrac{5000}{3} - \dfrac{2}{3} ( 2 w)[/tex]
[tex]A' (w) = \dfrac{5000}{3} - \dfrac{4w}{3}[/tex]
Then; we set A'(w) to be equal to zero;
So; [tex]\dfrac{5000}{3} - \dfrac{4w}{3}=0[/tex]
5000 = 4w
w = 5000/4
w = 1250
Thus; the required width of the field that would maximize the area is = 1250 feet
Also, the length [tex]L = \dfrac{5000}{3} - \dfrac{2w}{3}[/tex] can now be :
[tex]L = \dfrac{5000}{3} - \dfrac{2(1250)}{3}[/tex]
L = (5000 -2500)/3
L = 2500/3 feet
Suppose, the farmer divides the plot parallel to the width; Then 2500/3 feet = 833.33 feet and the length L = 1250 feet.
ILL GIVE BRAINLIEST!!!!!!!!!!!!
Answers
Answer:
6.30
Step-by-step explanation:
There are 48 students in a school band. The ratio of girls to boys is 5:7. How many girls are in the band? How many boys are in the band?
Answers
5:7
= 5+7 = 12
48 ÷ 12 = 4
1 part of ratio = 4
4 x 7 = 28
so there are 28 boys.
Answer:
The number of boys is 20 and the number of girls is 28
Step-by-step explanation:
5+7= 12 that means 5/12 students are boys, while 7/12 students are girls
Boys: (5/12)48= 20
Girls: (7/12)48= 28
29 + 15x = -x - 3. Simplified
Answers
What is the domain of the function y=3 squared root of x -1 ?
O-o
-1
O 0
1
Answers
[tex]y=3\sqrt{x-1}[/tex]
The domain is x ≥ 1 as x cannot be less than 1 or else it'll become negative in square root which you cannot find a value.
2688 divided by 96 with remainder
Answers
Answer: OK, the answer is 28.
Step-by-step explanation: Also there is no remainder for this division problem, you could have the remainder if the numbers are not the same as a multiplication problem, so did you get it?
A snowboard shop charges $10, plus an additional #3 per hour to rent a snowboard. Write the equation for the line in slope-intercept form.
HURRY HELP PLS!!
Answers
Answer:
y = 3x + 10
Step-by-step explanation:
Answer:
im pretty sure it is (0,5) or (10,0)
Step-by-step explanation:
Find the difference: 65.12 - 3.1.
Answers
Answer:
62.02
Step-by-step explanation:
Answer:
It's 62.02
Step-by-step explanation:
65.12
- 3.10
6 2.02
7 X-4 = *
A) 28
B) 11
C) -11
D) -28
Answers
Answer:
7*-4=-28
Step-by-step explanation:
7*-4=-28
I have alot of questions
Answers
Answer:
The coordinates of the vertex D. are (2, -5)
The coordinates of the vertex E. are (3, -2)
The coordinates of the vertex F. are (6, -4)
Step-by-step explanation:
The point D of the graph is located +2 on the x-axis and -5 on the y-axis
The point E of the graph is located +3 on the x-axis and -2 on the y-axis
The point F of the graph is located +6 on the x-axis and -4 on the y-axis
I hope that this helps! :)
When you have finished, use your Whisper voice to read each number out loud in both
unit and word form. How much does each number need to change for a ten
For 1 hundred?
Answers
So 90 or ninety
If you mean place value it’s tenths
The required numbers should be changed only by a unit, as proceeding from ten to 1 hundred.
Given that,
To determine how much each number needs to change for a ten for 1 hundred.
A number system is described as a technique of composing to represent digits. It is the mathematical inscription for describing the numbers of a given set by using numbers or other characters in a uniform method. It delivers a special presentation of every digit and describes the arithmetic structure.
Here,
According to the question,
The number from ten to 1 hundred,
10, 11, ......,99, 100.
From the above series, it can be concluded that each number is greater than by unity from the previous number.
Thus, hte required numbers should be changed only by a unit, as proceeding from ten to 1 hundred.
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What type of equation is -1/2y=1/2x+5
Answers
Answer:
Linear Equation: A linear equation is an algebraic equation. · 2. Polynomial Equation: · 3. Quadratic Equation: · 4. Trigonometric equation: · 5. Radical Equation:
Step-by-step explanation:
mark sets the dinner table every 2 days and dries the dishes every 3 days if he sets the table on day 2 and dries the dishes on day 3 on what day would mark first perform both chores on the same day
Answers
Answer:
On day 6 Mark will do both chores.
Step-by-step explanation:
You have to find the LCM (Least Common Multiple) of 2 and 3. The LCM is 6 so therefore it is day 6.
2l+2w for l = 5.2 and w = 6.7
Answers
Answer:
23.8
Step-by-step explanation:
2(5.2) + 2(6.7) = 23.8
Answer:
23.8 ...............
Step-by-step explanation:
I asked my alexa.
what is the radius of the cylinder
Answers
A 100-square grid has 70 shaded squares. Explain how you could express this model as a fraction, percent, and decimal.
Answers
Answer:
sample answer : 70 out of 100 is the ratio , so it represents 70%. can be reduced by dividing the numerator and the denominator by 10 to get the reduced fraction . Dividing 7 by 10 results in the decimal equivalent 0.70
Step-by-step explanation:
Answer:
70 out of 100 is the ratio, so it represents 70%. It can be reduced by dividing the numerator and the denominator by 10 to get the reduced fraction. Dividing 7 by 10 results in the decimal equivalent 0.70.
Step-by-step explanation:
IM TIMED PLZ HELP Which values of a, b, and c correctly represent the answer in simplest form? a= 38, b= 14, c= 1 a= 1, b= 14, C = 38 a= 1, b= 7, C= 19 a= 19, b= 7, C= 1
Answers
Answer:
you're right, a=1 b=7 c=19
Step-by-step explanation:
help ⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️ 3) Scott is twice as old as Ben. Donna is 6 years older than Ben. The sum of their ages is 34. How old are Donna, Scott, and Ben?
Answers
Answer:
S=2B
D=B%2B6
S%2BD%2BB=34
Substitute,
2B%2BB%2B6%2BB=34
4B%2B6=34
4B=28
B=7
Then,
S=2%287%29=14
D=7%2B6=13
Step-by-step explanation:
hope this helps
Answer:
donna is 13
scoot is 14
ben is 7
Step-by-step explanation:
2x+6=34 2x+6-6=34-6 2x=28[tex]\frac{2x}{2} =\frac{28}{2}[/tex]x=14you have $6.17. you buy 7 items that cost $0.76 each. how much money do you have left
Answers
Answer:
$0.85
Step-by-step explanation:
if you multiply 7x0.76=5.32
and then subtract the 6.17-5.32=$.85
Answer:
.85
Step-by-step explanation:
Multiply .76x7 then subtract 5.32 from 6.17 and you get 0.85.
A rectangular garden has an area of 71.44 m2. If the width of the garden is 7.6 m, what is the length in meters?
Please help I am stuck on the problem!!!!!!!!!!!!!!
Answers
Someone help me with this, it’s due today
Answers
Answer:
use points (1,1) and (0,2) for the rise and run
slope is 1
I hope this is good enough:
Answer:2\2
Step-by-step explanation: you can see it at 2\2
B angle is what degree
C angle is what degree
Answers
Answer: B= 55°, C= 125°
Step-by-step explanation:
1) B is vertical to 55°, so B=55°
2) B and C are supplementary, so C=180-55°=125°
Answer:
125 degrees
Step-by-step explanation:
Which decimal and percent represents 7/8
Answers
Answer:
decimal - 0.875
percent - 87.50%
Step-by-step explanation:
Cho flipped a coin 20 times. The coin landed on tails 8 times. What is the ratio of the number of times the coin landed on heads to the number of flips?
Answers
Answer:
The answer is
A ) 12 to 20
Step-by-step explanation:
Cho flipped heads 12 times. She flipped the coin a total of 20 times, making the ratio 12 to 20.
I hope this helped you! If it did, please consider rating, pressing thanks, and giving my answer 'Brainliest.' Have a fantastic day! :)
school uniform shirt normally cost $15 each but are on sale for 30% off the original price. You also have a coupon before you take the percent discount. If you have $150 to spend, which of the following equations will help you to determine how many shirts, x, you can buy
Answers
Answer:
125 shirts
Step-by-step explanation:
What is another way to summarize the outcome of this proof?
1
Given: AB II CD
A
B
4
6
5
Prove: 23 a 26
с
7
8
D
Statement
Reason
1. AB||CD
1. Given
2.23 27
2. Corresponding angles theorem
3. Vertical angles are congruent
3. 27 - 26
4. m23 = m27
m27 = m_6
5. m23 = m26
4. Definition of congruence
5. Substitution
6.23 - 26
6. Definition of congruence
Vertical angles are congruent.
B. If two lines are parallel, then alternate interior angles are
congruent.
C. Corresponding angles theorem.
D. If two lines are parallel, then alternate exterior angles are
congruent.
Answers
Answer:
Option B: If two lines are parallel, then alternate interior angles are
congruent.
Step-by-step explanation:
Notice that angles 3 and 6 are INTERNAL relative to the parallel lines, that is located in between the parallel lines. They are also alternate angles. Therefore, the correct answer is:
"If two lines are parallel, then alternate interior angles are congruent."
Two angles of a triangle measure 55 and 20. What is the measure of the third angle of the triangle
Answers
Answer:
105
Step-by-step explanation:
180-(55+20)=105
105 is the missing angle because every triangle equals 180 degrees so you just subtract the angles you have already found from 180.
the person above me is correct i checked it so it is indeed 105!
