Line a passes through points (2, 1) and (7, 9). Line b is perpendicular to a. What is the slope of line b?
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Answers
please refer to the pic below for the solution! :)
The slope of the perpendicular line will be - 5/8.
What is Equation of line?
The equation of line in point-slope form passing through the points
(x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
Given that;
Two points on the line are (2, 1) and (7, 9).
Now,
Since, We know that;
The slope of the line passing through the points (x₁ , y₁) and (x₂, y₂) is;
⇒ m = (y₂ - y₁) / (x₂ - x₁)
So, The slope of the line passing through the points (2, 1) and (7, 9) is;
⇒ m = (y₂ - y₁) / (x₂ - x₁)
⇒ m = (9 - 1) / (7 - 2)
⇒ m = 8 / 5
Since, The product of the slope of the perpendicular lines is - 1.
Here, Line b is perpendicular to a.
So, The slope of the line b is,
m₂ = - (1/8/5)
= - 5/8
Thus, The slope of the perpendicular line will be - 5/8.
Learn more about the equation of line visit:
https://brainly.com/question/18831322
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Related Questions
P(x) = 3x³+ 2x²-x what is the value of P(2)
Answers
Answer:
polynomial is -1
so answer is-1
What is the equation of the line that has a slope of -6/5 and goes through the point (5, -4)?
Answers
Answer:
Step-by-step explanation:
Given
slope =6/5
point =(5, -4)
So
the equation of the line =
(y-y1)=m(x-x1)
Where X1=5,y1=-4,m=6/5
Put the values
(Y+4)=6/5(x-5)
5(Y+4)=6(x-5)
5y+20=6x-30
5y-6x=-30-20
-6x+5y=-50
6x-5y=50.
So the equation of the line is 6x-5y=50.
Convert the expression (5x + 2)(x - 7) from factored form to standard form
Answers
(5x)(x) = 5x^2
(5x)(-7) = -35x
(2)(x) = 2x
(2)(-7) = -14
5x^2 - 35x + 2x - 14
Now combine like terms.
5x^2 - 33x - 14.
This is the right answer because it is now in the form of ax^2 + bx + c
Answer:
(5x + 2)(x - 7) = 5x² - 33x - 14Step-by-step explanation:
[tex](5x+2)(x-7)=\\\\=(5x)(x)+(5x)(-7)+(2)(x)+(2)(-7)=\\\\=5x^2-35x+2x-14=\\\\=5x^2-33x-14[/tex]
Please please help me i'm begging you!
Answers
Answer:
A is 8 ounces/ 12 cupcakes is 12 cupcakes/8 ounces I'm not sure about C and D is 18 cupcakes for 12 ounces of frosting
Step-by-step explanation:
Find the product.
(2a^2+b) (3a-3b)
Enter the correct answer.
Answers
=============================================
Work Shown:
(2a^2+b)(3a-3b)
c(3a-3b) ..... let c = 2a^2+b
3ac-3bc .... distribute
3a(c)-3b(c)
3a(2a^2+b)-3b(2a^2+b) .... plug in c = 2a^2+b
3a(2a^2)+3a(b)-3b(2a^2)-3b(b) ... distribute
6a^3+3ab-6a^2b-3b^2
6a^3-6a^2b+3ab-3b^2
You could also use the FOIL rule to get the same result. The box method is a visual way to keep track of the terms.
Find the difference between 7/10 and 1/5.
Answers
Answer:
the answer is [tex]\frac{7}{2}[/tex]
Step-by-step explanation:
(Try using Symbolab, I use it all the time it gives the correct answer and it gives good explanations.)
hope this helps :)
Find the surface area of the rectangular prism.
8 yd
4 yd
5 yd
Answers
Answer:
A=184
Step-by-step explanation:
classify each number as an integer or a not integer
Answers
Answer:
can't really do that.
Step-by-step explanation:
whats the numbers lol
Answer:
0, -5, 3 = Integers 8.1, 1/2, =2.5 = Not an Integer
Step-by-step explanation:
Edge 2021
36x-2 + 34x+2 = 180 solve
Answers
Answer:
First, collect the like terms
36x+34x=180+2-2
Solve,
74x=180
x=180/74
2.43243243243
When you round it, it will be approximately,
x≅2.43
Step-by-step explanation:
I hope it helped please give me brainliest
Answer:
[tex]x = \frac{18}{7} [/tex]
I need help, confused.
Answers
Answer:
x=90
Step-by-step explanation:
it is a square so: 360/4=90
Help!! I gotta turn it in a few minutes
Answers
Answer: 4/21
Step-by-step explanation:
1/7 = 6/42
2/3 = 28/42
28+6=34
42-34=8
8/42=4/21
There are three fourth grades classrooms (A, B, and C) at the local elementary school. Room A contains 12 children, Room B contains 18, and Room C contains 24 children. All the fourth graders get together to play a game in the middle of the day. The teachers want the children to be on teams with their own classmates but all the teams also need to be of equal size. Can you find the largest size of the teams so that each team contains only children from the same classroom?
Answers
Answer:
The largest size of the teams would be 6 if you wanted all teams to be the same size and consist of only members from their own room.
Step-by-step explanation:
In order to solve this, you need to find the greatest common factor. The highest number that can go into 12, 18, and 24 evenly would be 6.
Answer:
2 teams of 6 for class A, 3 teams of 6 for class B. and 4 teams of 6 for class C
Step-by-step explanation:
We are given the total amount of students in each class. 12,18,24. In order to separate these we have to find the common denominator among all the classes total numbers. 6 is a common denominator between them all as we can break it down to the number thats most common. Take the total number of students in each class and divide it by six. That is the total number of groups to be equal among them all.
a. Find (f + g)(x).
b. Find (f + g)(3).
Use the functions f(x)=x+5 g(x)=2x+1
Answers
Answer:
Step-by-step explanation:
[tex](f+g)(x) =f(x) + g(x)\\f(x) = x+ 5\\g(x) = 2x + 1\\(f+g)(x) = x+ 5 + 2x + 1\\(f+g)(x) = 3x + 6\\\\(f+g)(3) = 3(3) + 6 = 15[/tex]
The length of a rectangle is one inch less than five times its width. If the perimeter of the rectangle is 46 inches, find its dimensions. Write your answer as two numbers separated by a comma
Answers
Answer:
19,4 or 4,19
Step-by-step explanation:
Let the width of the rectangle be 'w' in
According to the question length of the rectangle (l) is one inch less than five times it's width;
[tex] \longrightarrow [/tex] l = (5w - 1) in
Perimeter of rectangle = 46 inches
Formula of perimeter of rectangle = 2(Length + Width)
So,
[tex]\rm \implies 2(Length + Width) = 46 \\ \\ \rm \implies 2(5w - 1 + w) = 46 \\ \\ \rm \implies 2(6w - 1) = 46 \\ \\ \rm \implies 6w - 1 = \dfrac{46}{2} \rm \implies 6w - 1 = 23 \\ \\ \rm \implies 6w = 23 + 1 \\ \\ \rm \implies 6w = 24 \\ \\ \rm \implies w = \dfrac{24}{6} \\ \\ \rm \implies w = 4 \: in[/tex]
[tex] \therefore [/tex] Width of the rectangle (w) = 4 in
Length of rectangle (l) = 5 × 4 - 1 = 19 in
What do you need to add to 5 7/8 to make 8
Answers
Answer:
[tex] 2 \frac{1}{8} [/tex]
Step-by-step explanation:
[tex]8 - 5 \frac{7}{8} \\ \\ = 8 - \frac{5 \times 8 + 7}{8} \\ \\ = 8 - \frac{40 + 7}{8} \\ \\ = 8 - \frac{47}{8} \\ \\ = \frac{8 \times 8 - 47}{8} \\ \\ = \frac{64 - 47}{8} \\ \\ = \frac{17}{8} \\ \\ = 2 \frac{1}{8} [/tex]
Step-by-step explanation:
5 7/8+x=8
x=8-5 7/8
l.c.m of denominators=8
=3 3/8
Which of these is equivalent to 8: 5
3:4
3:7
4:2
4:3
Pls help
Answers
Answer:
I'm not 100% if its right but I think its 4:2.
Step-by-step explanation:
Answer:
the closest one i think is 4:3(dont get mad at me if its wrong)
Step-by-step explanation:
The sum of 3r2 + 58 - 6 and -r2 + 3x + 9 is?
Answers
Answer:
2r ^2 +61+3x
Step-by-step explanation:
1 Collect like terms.
(3{r}^{2}-{r}^{2})+(58-6+9)+3x(3r
2
−r
2
)+(58−6+9)+3x
2 Simplify.
2{r}^{2}+61+3x2r
2
+61+3x
help me please i turn this in 5 minutes
Answers
Answer:
Its B
Step-by-step explanation:
50/10=5
Answer:
B. The store made a profit of $5.00 per store.
Step-by-step explanation:
As you can see on the graph, there is a point (200 , 40).
now i will use this equations:
200/40 = x
40 = number of shirts sold
200 = profit made from 40 shirts
x = amount of money per shirt sold.
200/40 = 5
Each shirt is sold for $5.00
Hello help with question please :)
Answers
Answer:
A
Step-by-step explanation:
slope is (y2-y1)/(x2-x1)
anyhow that comes out to -3/2
the only place that actually applies is in A
Answer:
A
Step-by-step explanation:
6=-3/2×-2+3
6=3+3
6=6
-3=-3/2×4 + 3
-3=-6+3
-3=-3
2.5 miles into _______inches
Answers
This means that you would have to multiply 63,360 by 2.5 which will give you... 158,400inches
Hope this helped:)
Explain why the vertical line does not represent a linear function.
y
5
G C
1
2 2
4 5 r
The vertical line has
for the input I
> EMERGENCY
Answers
Answer:
Its my first answer but may i have a brainlist please im new
Step-by-step explanation:
what is 2+2-3+7-9+23-6+78-34+89
what does that equal
Answers
2+2-37-9+23-6+78-34+89 = 149
Answer:
149
Step-by-step explanation:
2+2-3+7-9+23-6+78-34+89
2+2+7+23+78+89=201
3-9-6-34=52
201-52
149
3(a+b)=a+2 make a subject of the formula
Answers
Answer:
a = 2 - 3b
2
Step-by-step explanation:
3(a + b) = a + 2 expand
3a + 3b = a + 2
3a - a = 2 - 3b
2a = 2 - 3b
a = 2 - 3b
2
MORE.FREE.POINTSS.
"I'm a cowboyy babyy"
this ones less points, BUT STILL
Answers
Answer:
thx may i have brainliest to plz i so close to next rank
Step-by-step explanation:
Answer:
bbbbbbbbbbbbbbbbbb
Step-by-step explanation:
popppppppppppppppppppppppppppppp
science pls answer I give brainliest
Answers
Answer:
I would say B
Step-by-step explanation:
Some inland areas can be warm but cold where-as some places near the coast stay warm most of the time
Let f(x)=|x| and g(x)=x+2. What are the domain and range of (f•g)(x)?
Answers
Answer:
Step-by-step explanation:
f(x) = | x |
g(x) = x + 2
y = | x + 2 |
Domain: all real numbers
Range: y ≥ 0
Find the midpoint of the segment with the following endpoints.
(5,5) and (1,1)
Answers
Answer:
(3,3)
Step-by-step explanation:
x=(5+1)/2=3
y=(5+1)/2=3
PLS HELP!!
Find the value of x. Show any calculations used to find your answer.
Answers
========================================
Work Shown:
(small vertical)/(large vertical) = (small horizontal)/(large horizontal)
8/x = 16/40
8*40 = x*16 .... cross multiply
320 = 16x
16x = 320
x = 320/16 .... divide both sides by 16
x = 20
Note: there are other proportions you could set up such as 8/16 = x/40. The key here is that whatever equation you set up, it must cross multiply to 16x = 320 so that you get the same solution.
In 1902, the yearly attendance at a major league baseball park was 3.4×10^5 people. One hundred years later, the yearly attendance was 1.7×10^6 people. How many times greater was the attendance in 2002 than in 1902?
Answers
Answer:
1,360,000
Step-by-step explanation:
1,700,000-340,000 = 1,360,000 or 1.36×10^5
The info is in the picture
Answers
Answer:
no it isn't the inverse.
