[tex]m = \frac{y_2 - y_1}{x_2 - x_1} [/tex]
Let these points
[tex] \begin{cases}(x_1, y_1) = ( - 4, - 1) \\ (x_2, y_2) = ( 2, 8) \end{cases}[/tex]
[tex]m = \frac{8 - ( - 1)}{2 - ( - 4)} \\ m = \frac{8 + 1}{2 + 4} \Longrightarrow \frac{9}{6} \Longrightarrow \frac{3}{2} \\ m = \frac{3}{2} [/tex]
Slope-Intercept[tex]y = mx + b \\ m = slope \\ b = y - intercept[/tex]
Substitute the value of m in the equation.
[tex]y = \frac{3}{2} x + b[/tex]
Substitute any coordinate points that are given or part of the graph in the equation.[tex](x_, y) = ( - 4, - 1)[/tex]
[tex] - 1 = \frac{3}{2} ( - 4) + b[/tex]
Solve the equation for b-term.[tex] - 1 = \frac{3}{ \cancel{2}} ( \cancel{ - 4}) + b\\ - 1 = 3( - 2) + b \\ - 1 = - 6 + b \\ - 1 + 6 = b \\ 5 = b[/tex]
Rewrite the equation by substituting the value of b in the equation.[tex]y = \frac{3}{2} x + 5[/tex]
Answer[tex] \large \boxed{y = \frac{3}{2} x + 5}[/tex]
If you have any questions related to the answer, feel free to ask via comment.
What is the value of y?
Enter your answer in the box.
WILL GIVE BRAINLIEST PLZZZ HELP
Answer:
its B.
Step-by-step explanation:
Square root 5 x square root 5 x square root 2 x square root 2
Answer left in surds
Answer:
10 or [tex]\sqrt{100}[/tex] (in surds)
Step-by-step explanation:
[tex]\sqrt{5}[/tex] × [tex]\sqrt{5}[/tex] × [tex]\sqrt{2}[/tex] × [tex]\sqrt{2}[/tex] = 5×2 = 10 or [tex]\sqrt{100}[/tex]
When the same square root multiply each other, they equal to the number in the square root. E.g. [tex]\sqrt{5}[/tex] × [tex]\sqrt{5}[/tex] = 5 because [tex]\sqrt{5}[/tex] × [tex]\sqrt{5}[/tex] also equals to [tex]\sqrt{25}[/tex], which is 5.
Hope this is helpful :)
20 points.
Find the equation of the line: which passes through (1,-7) and is perpendicular to (-4,6) and (5,-3)
Answer:
-9 6 that is because the line has to be perpenducular to the other line
Step-by-step explanation:
Slope of line between points (-4, 6) and (5, -3)
=> Rise / Run
=> [6 - (-3)] / [(-4) - 5]
= 9 / (-9)
= -1.
Thus slope of perpendicular line
= -1 / (-1) = 1.
We have y = x + c.
When x = 1, y = -7.
=> (-7) = (1) + c, c = -8.
Hence y = x - 8.
help? please
a perimeter of 100cm and
the largest possible area
Write the equation of the directrix of the parabola shown below.
y2 + 16y+ 4x + 4 = 0
Answer:
x = 16 is the answer
Step-by-step explanation:
PLS HELP Anna buys bananas and apples. She buys 2 more apples than twice the number
of bananas. Altogether, Anna bought 14 fruits. How many apples did she buy?
(Hint use a bar model)
Your answer
Answer:
You have to put this in a bar model yourself so convert it later
She bought 10 apples
Step-by-step explanation:
3x + 2 = 14
why i did this
because she bought 2 times the amount of bananas, it should be x + 2x = 3x
then i added two because she bought two extra apples
so 3x+2 = 14
subtract 2
3x = 12
x = 4
So now we substitute x in apples
2x +2 = # of apples
8 +2 = 10
check
10 - 2 = 8
8/2 = 4
4 = # of bananas
Answer:
Anna bought 4 bananas and 10 apples.
Step-by-step explanation:
System of Equations
Let's call the following variables:
x = number of bananas Anna buys
y = number of apples Anna buys
She buys 2 more apples than twice the number of bananas, thus:
y = 2x + 2 [1]
Anna bought 14 fruits in total, thus:
x + y = 14 [2]
Substituting [1] in [2]:
x + 2x + 2 = 14
Simplifying:
3x = 12
Dividing by 3:
x = 4
Substituting in [1]:
y = 2*4+2 = 10
Anna bought 4 bananas and 10 apples.
Find the Y intercept of the line y-3=2(x + 1)
Answer:
y=2x+1
Step-by-step explanation:
Lesson 3.3T - Calculating Slope from Graphs
Name
Period
Date
Sketch a line that has the given slope.
1. Positive Slope
2. Negative Slope
3. Zero Slope
4. Undefined Slope
Itt
Draw a slope triangle for each line (when possible) and give the slope. Remember to designate
if slope is positive or negative.
5.
6.
Remember
that slope is
rise over run.
SLOPE =
SLOPE =
8.
2
4-3
.
-2
SLOPE
SLOPE =
EdGems Core - Course 3
Copyright 2018 All Rights Reserved
Lesson 3.3 - Calculating Slope from Graphs
Answer:
1. draw a line from the bottom left quadrant to the top right quadrant
2. draw a line from the top left quadrant to the bottom right quadrant
3. draw a horizontal line in any quadrants
4. draw a vertical line in any quadrants
5. Connect to the dots by going up to and right two. The slope will be 1.
6. Connect the dots by going up four and left two. The slope will be -2.
7. Connect the dots by going up for and right one. The slope will be 4.
8. You cannot connect the dots because it's a zero slope, so the slope is 0.
Step-by-step explanation:
Hope this helpsss! :)
The question is the link
Answer:
The answer is the girls ate more.
Step-by-step explanation:
I divide the amount of ice cream for the girls and the boys and the results came out as the girls ate more then the boys.
Can someone help I've tried many times and keep getting confused by math.
Answer:
C) y = 2/3x + 2
Step-by-step explanation:
first find the slope:
(0,2)
(3,4)
(4-2)/(3-0)
2/3
y = 2/3x + b
2 = 2/3(0) + b
b = 2
y = 2/3x + 2
state if polygons are similar
Answer:
yea its is
Step-by-step explanation:
consider the expression 7 - 4y. Why would the co-efficient be -4 and not 4?
Because the answer to X is a negative number, and negative numbers are needed for negative answers
Answer: because it won’t make sense if it was 74y it has to have an equation or expression.
Step-by-step explanation: I’m not that smart and I have no friends on brainly but hope it helps and makes your day.
David and his 2 children are going to the zoo.
The administration price is
Adult:£60
Children:£67
FAMILY DISCOUND CARD GIVES
1/5 off adults price
60% off child price
Work out the total price David pays after using his discount card.
Answer:
£92.40
Step-by-step explanation:
Discount price for David =1/5 of 60
= 1/5 × 60/1
= £12 (5 multiplied by 12 is 60)
Price for one child = £67
Price for 2 children= £67 × 2
= 134
Therefore discount price for the children,
134 × 60/100
= 134 × 6/10
= 134 × 3/5
= 26.8 × 3
= 80.4
= £80.40
Therefore total Price David pays,
£80.40 + £12
= £92.40
81, 6, 7, 1, 42
Mode ??
Median ??
Answer:
No mode
Median 7
Step-by-step explanation:
Mode: The mode is the element that occurs most in the data set. In this case, all elements occur only once, so there is no mode.
Median: Arrange the data in an ascending order and the median is the middle value. If the number of values is an even number, the median will be the average of the two middle numbers.
Answer:
Mode: no mode
No mode because there are no repeating numbers.
Median=7
Put in order from least to greatest- 1,6,7,42,81
Find the one in the middle- 7
8, 20, 50, ...
Find the 10th term.
Answer:
[tex]a_{10}=\frac{5^{10}}{2^7} -1[/tex]
Step-by-step explanation:
[tex]a_{n}=a_1 . r^{n}-1[/tex]
Here
[tex]r=\frac{5}{2}[/tex]
[tex]a_1 =8[/tex]
For n=10 (tenth Term)
[tex]a_{10}=8(\frac{5}{2})^{10} -1[/tex]
[tex]a_{10}=\frac{5^{10}}{2^7} -1[/tex]
In rectangle FGHJ , the diagonals intersect at point M, FM = 3.2x , and JG = 40.
What is the value of x?
Enter your answer as a decimal in the box.
Answer:
[tex]x=6.25[/tex]
Step-by-step explanation:
FM=3.2x
JG=40
Generally the diagonal of a rectangle are equal to each other and diagonal bisects each other
Therefore
[tex]2FM=JG[/tex]
[tex]2*(3.2x)=40[/tex]
[tex]x=40/6.4[/tex]
[tex]x=6.25[/tex]
Answer:
x=6.25
Step-by-step explanation:
pls anwer fast is due in 5min
Answer:
Taking my points
Step-by-step explanation:
You spammed my own question
X-7<14 help me please I need help
Answer:
x < 21
Step-by-step explanation:
A floral design on a floor is made up of 16 tiles which are triangular,
the sides of the triangle being 9cm, 28cm and 35cm. Find the cost of
polishing the tiles at the rate of 50p per m^2?
Answer:
Answer
Area of tiles = 16 x area of 1 Δ
S=
2
a+b+c
=
2
9+28+35
=
2
72
=36
Area=
36(36−9)(36−28)(36−35)
36×27×8×1
36
6
cm
2
Area of tiles = 16 ×36
6
=1410.20.
Cost of polishing per cm
2
= 50.
Cost of polishing = 1410.90 cm
2
1410.90 x
2
1
705.45
Step-by-step explanation:
PLEASE HELP I NEED THIS DONE VERY FADT PLZZZ
Answer:
Angle 4 is 65°
Step-by-step explanation:
180-115=65
Answer:
m<4 would be 65 degrees.
Step-by-step explanation:
You know they add up to 180, so 180 - 115 = 65 degrees.
Has anybody done this problem before on Carnegie learning Mathia I’ve been stuck on this problem and I need to turn in this assignment
Answer:
Conclusion: ◇WAU ≅ ◇JAU
Reason: ASA theorem
Step-by-step explanation:
slope of -6,8 and -6,-8
Answer:
use math.way.com
Step-by-step explanation:
A snack mix contains toasted oat cereal, chocolate, and nuts in a ratio of 2 : 2 : 1 by mass. What mass of each ingredient is needed to make a 750 g mix?
Answer:
300g cereal
300g chocolate
150g nuts
Step-by-step explanation:
5x=750
x=150
2x=300
Tim's pay increased by 5% to £880
a fortnight.
What was his pay before the
increase?
Answer:
£838.10Step-by-step explanation:
Let the previous salary be x
Increase = 5%
New salary = £880
x + 5% = 880x*1.05 = 880x = 880/1.05x = £838.10 (rounded)Answer:
£838.10Step-by-step explanation:
let x be past payaccording to the question
[tex]x \times \frac{105}{100} = 880[/tex]
[tex]x = 880 \times \frac{100}{105} [/tex]
[tex]x = 838.10[/tex]
please help me this is due in 10 minutes i’ll give brainlyist
Answer:
y=125x+500
Step-by-step explanation: plug the values into x and it's that equation
How do you calculate the area of a circle
Just follow this formula.
Area of a Circle= [tex]\pi R^{2}[/tex]
That means PI Radius Squared
Hope this Helps.
-Northstar
Its best to ask your teacher bc like some people wont answer bc thats hard
I'm having trouble graphing this problem: y=3/5x
Answer:
(the slope is 3/5)
Hope this helps :)
Write a situation to represent the equation
Y = 5x
Help with math problem