Answer:
The slope-intercept equation is:
[tex]y=\frac{3}{2}x+1[/tex]
Step-by-step explanation:
Given the equation
[tex]y-4=-\frac{2}{3}\left(x-6\right)[/tex]
comparing it with the point-slope form of the line equation
[tex]y-y_1=m\left(x-x_1\right)[/tex]
where m is the slope
so the slope of the line is -2/3.As we know that the slope of the perpendicular line is basically the negative reciprocal of the slope of the line, so
The slope of the perpendicular line will be: 3/2
The point-slope form of the equation of the perpendicular line that goes through (-2, -2) is:
[tex]y-y_1=m\left(x-x_1\right)[/tex]
[tex]y-\left(-2\right)=\frac{3}{2}\left(x-\left(-2\right)\right)[/tex]
[tex]y+2=\frac{3}{2}\left(x+2\right)[/tex]
writing the line equation in the slope-intercept form
[tex]y+2=\frac{3}{2}\left(x+2\right)[/tex]
subtract 2 from both sides
[tex]y+2-2=\frac{3}{2}\left(x+2\right)-2[/tex]
[tex]y=\frac{3}{2}x+1[/tex]
Thus, the slope-intercept equation is:
[tex]y=\frac{3}{2}x+1[/tex]
Here,
As the slope-intercept form is
[tex]y=mx+b[/tex]
where m is the slope and b is the y-intercept
so
[tex]y=\frac{3}{2}x+1[/tex]
m=3/2
b = y-intercept = 1
Therefore, the slope-intercept equation is:
[tex]y=\frac{3}{2}x+1[/tex]
Lines / and m parallel. Can be represented by the 3x+4y=8. If line m passes thorough the point (2,-5), which equation can be used to find the equation of line m
Answer:
y=−34x+2.75
Step-by-step explanation:
Parallel lines have the same slope. Solve for the slope in the first line by converting the equation to slope-intercept form.
3x + 4y = 12
4y = –3x + 12
y = –(3/4)x + 3
slope = –3/4
We know that the second line will also have a slope of –3/4, and we are given the point (1,2). We can set up an equation in slope-intercept form and use these values to solve for the y-intercept.
y = mx + b
2 = –3/4(1) + b
2 = –3/4 + b
b = 2 + 3/4 = 2.75
Plug the y-intercept back into the equation to get our final answer.
y = –(3/4)x + 2.75
Ms. Walch works as a car salesperson. She earns a monthly base salary of $ 4,000 Plus $ 500 commission for each car she sells. How many cars does Ms. Walsh need to sell in a given month to earn a total salary of $ 10,000 for that month?
Answer:
20 cars
Step-by-step explanation:
10,000 ÷ 500 = 20
Answer:
2 cars
Step-by-step explanation:
4,000 + 500 = 4,500 x 2 =10,000
thus its 2 cars
48 out of 120 people at a fair bought fried Oreos. What percentage of the people bought fried Oreos?
1 point
Answer:
40%
Step-by-step explanation:
Answer:
it will be 40%
Step-by-step explanation:
because the formula of getting the answer is 48/120×100 which is 40
Help me out plssss!!!!
Answer: m=6.2t, 148.8 miles
Step-by-step explanation:
to figure out the equation we do 93/15=6.2 and we make it into a equation which is m=6.2t. since we know the butterfly travels 6.2 per hour we do 6.2 x 24 = 148.8
sorry if it's wrong
What is the radian measure of an angle equal to 225 degrees????
Answer:
225° = 5π/4 radians.
Step-by-step explanation:
hope this helps :D
The radian measure of an angle of 225 degrees is 1.25π radian or 3.925 radians.
Given,
225 degrees.
We need to find the radian measure of 225 degrees.
What is the radian measure of an angle?
We have,
π radian = 180 degree
So,
2π = 360 degrees.
This is the formula for the radian of an angle.
Find the radian measure for 225 degrees.
We have,
π radian = 180 degrees
Multiply 225/180 on both sides by 180.
225/180 x π radian = 225/180 x 180 degrees
1.25 π radian = 225 degrees
or
We can take π = 22/7 = 3.14
225/180 x 3.14 radian = 225 degrees.
3.925 radian = 225 degrees
Thus the radian measure of an angle of 225 degrees is 1.25π radian or 3.925 radians.
Learn more about the measure of an angle from a radian here:
https://brainly.com/question/8916147
#SPJ2
Solve for x:
2x - 14 = 3x + 6
Answer:
x = - 20Step-by-step explanation:
[tex]2x - 14 = 3x + 6[/tex]
Move 3x to the other side of the equation
[tex]2x - 3x - 14 = 6 \\ - x - 14 = 6[/tex]
Move -14 to the right side of the equation.
[tex] - x = 14 + 6 \\ - x = 20[/tex]
Multiply both sides by - 1
[tex] - ( - x) = - 20 \\ x = - 20[/tex]
We have the final answer as
x = - 20Hope this helps you
Answer: add 14 to both sides of the equation
2x-14=3x+6
2x-14+14=3x+6+14
Simplify
add the numbers
2x-14+14=3x+6+14
2x=3x+6+14
add the numbers
2x=3x+6+14
2x=3x+20
subtract 3x from both sides of the equation
2x=3x+20
2x-3x=3x+20-3x
simplify
Combine like terms
2x-3x=3x+20-3x
-x=3x+20-3x
Combine like terms
-x=3x+20-3x
-x=20
Divided both sides of the equation by the same term
-x=20
-x/-1=20-/-1
Simplify
Cancel terms that are in both the numerator and denominator
-x/-1=20/-1
x=20/-1
Divide the numbers
x=20/-1
x=-20
So the answer is x=-20
Hope this helps... Stay safe and have a great day/night!!! :D
Which expression is a sum of a number and a product?
A. 3 + 5x
B. 5 + x - 3
C. 5(x - 3)
D. 5x
Answer:
its a. rhejhdhrhrjdhr
Beth cooks 2 pounds of pasta. She serves 5 pound of pasta on each plate.
What is the total number of plates Beth serves with the 2 pounds of pasta?
Answer:
2/5
Step-by-step explanation:
please help!! I'm confused, ignore the math book thing. And it's asking what property it is, the associative property or the communitive property?
Answer:
its associative property
Step-by-step explanation:
2+d=2+d
d=2
Can I actually get help and not people saying random stuff just for points????
Thomas is purchasing notebooks for
school. He has $25 to spend and each
notebook costs $4.15. How many
notebooks can he buy if he must first
buy a calculator for $8.64?
Answer:
4
Step-by-step explanation:
please solve this for me
Answer:
the square of -5 is 25 not -25
, -4(1)(-3) is 12 not -12 because when we multiply 2 negative numbers their result is positive
+5 should be written instead of -5
Step-by-step explanation:
+5 should be written instead of -5 as the formula is (-b+-(b²-4ac)½)/2a . since b=-5 ;-b=+5
ASAP HELP FOR BRAINLIEST!!!
A basketball player's goal was to score at least 275 points in the season. So
far, he has scored 212. If there is one game left, how many points must he
score to reach his goal? Be sure to include an inequality to represent this
scenario.
Answer:
63 more points
Step-by-step explanation:
275(goal) - 212(current points) = 63(points needed)
Check your work: 212+63=275
He needs to score 63 points
Sylvia bikes home along a straight road from her friend's house, a distance of 8 miles,
The graph shows her journey
Answer:
what is the question and what is the graph
Step-by-step explanation:
HURRY THIS IS TIMED!! I'LL GIVE BRAINLIEST! Please answer the question attached:
Answer:
Answer A is Linear. You can see this because each term is equal to the previous term plus a fixed amount (3), making it an arithmetic sequence.
Answer B is not linear. This is because each term is a multiple of the previous one, making it a geometric sequence.
Answer:
Function A
Step-by-step explanation:
Each time x increases by 1, y increases by 3. Function B is exponential instead of linear, because y increases by a larger number each time rather than increasing by the same amount.
Good luck :)
Mae Ling earns a weekly salary of $315 plus a 7.5% commission on sales at a gift shop. How much would
she make in a work week if she sold $4,900 worth of merchandise?
She would make $
Answer:
4400*7.5%=330+315=$645 a week
Step-by-step explanation:
3. You are selling hot cocoa at an
amazing price of $0.80 a cup. You
want to make(earn) $ 48. How many
cups do you need to sell?
Answer:
you need to sell 60 cups
Step-by-step explanation:
48÷0.80= 60 cups
hope it helps!
please mark me brainliest
PLS HELP
The owner of a grocery store wants to mix two kinds of candy together to make 15 lb that he can sell for $5.00 per lb. He wants to use chocolate candies that he sells for $7.00 per lb and sugar candies that he sells for $2.00 per lb. How many pounds of each should the owner use?
_ pounds of chocolate candies
Answer:
9 pounds of chocolate candies
6 pounds of sugar candies
Step-by-step explanation:
x + y = 15
y = 15 - x
(7x + 2y) / 15 = 5
7x + 2y = 15 * 5 = 75
7x + 2 * (15 - x) = 75
7x + 30 - 2x = 75
5x = 45
x = 9
15 - 9 = 6
y = 6
9 pounds of chocolate candies and 6 pounds of sugar candies
The owner should use 6 pounds of the chocolate candies, and the other 9 pounds of the sugar candies.
What is a system of equations?A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.
Given that owner of a grocery store wants to mix two kinds of candy together to make 15 lb that he can sell for $5.00 per lb.
He wants to use chocolate candies that he sells for $7.00 per lb and sugar candies that he sells for $2.00 per lb.
x + y = 15
y = 15 - x
(7x + 2y) / 15 = 5
7x + 2y = 15 x 5 = 75
7x + 2 (15 - x) = 75
7x + 30 - 2x = 75
5x = 45
x = 9
Now 15 - 9 = 6
y = 6
Threfore, we conclude that 9 pounds of chocolate candies and 6 pounds of sugar candies.
Learn more about equations here;
https://brainly.com/question/25180086
#SPJ2
URGENT
The measure of one of the acute angles in a right triangle is 24. what is the measure of the other angle?
Answer:
do you have pictures and more measurements so i can solve the problem for you?
Step-by-step explanation:
What is the equation of the line whose y-Intercept is 3 and slope is 1?
y = x + 3
as x increases by 1, y increases by 1 (Slope)
when x equals 0, y equals 3 (y-intercept)
1. It's a 3-digit whole number 2. It's divisible by 4 3. It's divisible by 5 4. It's divisible by 11 5. It's divisible by 3
Answer: 660 is divisible by 2,4, 5, 11 and 3
Write a function in any form that would match the graph shown below. please help :)
Answer:
0, -4
2,0
-4,0
-2,-8
Step-by-step explanation:
I chose the points that were most visable
Tommy is baking a cake. He knows that he needs 2/3 cups of flour to make 4 cakes. How many cups of flour will Tommy need to make 8 cakes?
need the answer asap
Answer:
10,15
Step-by-step explanation:
Answer:
AC=39
Step-by-step explanation:
-x+25=3(2x-8)
-x+25=6x-24
49=7x
x=9
AC = 2(-9+25)=-11+50=39
Write in standard form the equation y - 9 = 1/3(x - 6).
What is the sample space of a single spin of the spinner
Answer:
The sample space of an experiment is the set of all possible outcomes of that experiment.
Answer:
Y, P, R, B (or something like that)
Step-by-step explanation:
just read what the other answer said
The length of a rectangle is 5 less than 3 times its width. The perimeter is
78. Find the LENGTH.*
Answer:
The length is 28 and the width is 11
Step-by-step explanation:
To solve this problem, we can make the width as x.
Since the length is 5 less than 3 times the width, it's going to be 3x - 5
So now we've got the length and width, just need to find the perimeter, which is all the sides added up together. They already gave us the perimeter, so we just have to solve the equation:
2(3x - 5) + 2x = 78
6x - 10 + 2x = 78
8x - 10 = 78
8x = 88
x = 11
x = 11, but remember, x is the width, not the length. Since we already found what x is, we just have to plug it into the equation of:
3x - 5
3 × 11 - 5
33 - 5 = 28
Answer: Length = 28 (don't forget to add the unit if there is one)
Use the properties of equality to solve the equation 3x+2-x=11x+9. State which property justifies your first step and why you chose it. Check your solution
The first step we'll make is subtraction property of equality and we choose this property to separate the variables and contsnts.
What are the properties of equality?Facts regarding any two or more quantities connected by the equal sign are known as properties of equality.
There are four types of properties of equality.
Addition property, when two equal quantities are increased by a common value, the equality is preserved.
Transitive property of equality, entities that are equivalent to one another are also equivalent to one another.
Subtraction property, equality is maintained when a common term is subtracted from two equal terms.
Multiplying by a common term do not alter the equality, according to the multiplication property of equality.
Given, An equation 3x + 2 - x = 11x + 9.
The first step would be subraction property of equality.
We'll subtract 2 from each side of the equation.
3x + 2 - x - 2 = 11x + 9 - 2.
3x - x = 11x + 7.
We choose subraction property of equality to separate the vriables and the constants.
learn more about subtraction property of equality here :
https://brainly.com/question/29182336
#SPJ2
pllllllllllllllllllllzzzzzzzzzzzzzzz hhhhhhhheeeeeeeeelllllllllllppppppppp
Help MEE!! what is the answer please
Answer:
v=12500-2500h
Step-by-step explanation:
Ok so to create this equation all you need to do is look at what information is given. You start with 12500 gallons of water so we know our equation is going to have 12500 in it.
So far our equation would look like this v=12500
The next information we are given is that it is decreasing by 2500 every hour so we know that we are going to be subtracting 2500 based on how many hours have went by so our equation would then look like this.
v=12500-2500h
we can check this by plugging in some numbers to see if it works. So at Zero hours we should still be at 12500
v=12500-2500(0)
v=12500
Ok so we know that it works for zero, but we should check at least one more number. We know that after 3 hours we would of lost 7500 gallons of water so it should equal 12500-7500=5000 gallons. Lets check this in our equation
v=12500-2500(3)
v=12500-7500
v=5000 Gallons
