The equation of line that passes through (-2,-1) and is perpendicular to f(x) = (-1/5)x + 1 is f(x) = 5x + 9.
What is the equation of line that passes through the given point and is perpendicular to f(x) = (-1/5)x + 1?The slope-intercept form is expressed as;
y = mx + b
Where m is slope and b is the y-intercept.
Given the equation of the graph
f(x) = (-1/5)x + 1
Using the slope intercept, slope m is -1/5
The equation of a perpendicular line to f(x) = (-1/5)x + 1 must have a slope that is the negative reciprocal of the graph.
Slope of perpendicular line = -1 / (-1/5)
Slope of perpendicular line = 5
Plug the slope m = 5 and point (-2,-1) into point-slope formula and simplify.
( y - y₁ ) = m( x - x₁ )
( y - (-1) ) = 5( x - (-2) )
( y + 1 ) = 5( x + 2 )
y + 1 = 5x + 10
y = 5x + 10 - 1
y = 5x + 9
f(x) = 5x + 9
Therefore, the equation of the perpendicular line is f(x) = 5x + 9.
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If p and q vary inversely and pis 11 when q is 18, determine q when p is equal to 9.
Answer:
q = 22
Step-by-step explanation:
Given that,
p and q are inversely proportional to each other i.e.
[tex]p=\dfrac{k}{q}[/tex]
Put p = 11 and q = 18
So,
[tex]11=\dfrac{k}{18}\\\\k=11\times 18\\\\k=198[/tex]
Now put k = 198, p = 9 and find q. So,
[tex]q=\dfrac{k}{p}\\\\q=\dfrac{198}{9}\\\\q=22[/tex]
Hence, the value of q is equal to 22.
A college has an acceptance rate of about 21% if 8700 students apply about how many will be accepted
Answer:
1827
Step-by-step explanation:
Answer:
1827
Step-by-step explanation:
21% of 8700 = 1827
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2 Justin had 3 rolls of ribbon. He used of a roll of ribbon to tie a parcel and 5 of another roll of ribbon to tie a present. How many rolls of ribbon did he use in all? How many rolls of ribbon did Justin have left?
Answer:1 roll of ribbon left
Step-by-step explanation:
Someone help me please :(
9514 1404 393
Answer:
A. ∠EAG and ∠BAC
Step-by-step explanation:
Vertical angles share a vertex and have opposite rays for sides.
Rays AE and AB are opposite; rays AG and AC are opposite. These are the only pairs of opposite rays in the figure, so the vertical angles must be constructed from one of the rays of the first pair and one of the rays of the second pair. ∠EAG and ∠BAC are a pair of vertical angles.
The other pair is ∠EAC and ∠BAG.
what is between 3.25 and 3.26
Answer:
3.251, 3.252, 3.253, 3.254, 3.255.......3.259
Step-by-step explanation:
Answer:
3.251, 3.252, 3.253, 3.254, 3.255, 3.256, 3.257, 3.258 , and 3.259
Step-by-step explanation:
A sequence is shown below
6, 8, 10, 12, 14
Which function represents this sequence?
A. f(n) = 4 + 2(n - 1)
B. f(n) = 4 + 2(n + 1)
C. f(n) = 6 + 2(n - 1)
D. f(n) = 6 + 2(n + 1)
Answer:
[tex]c \: is \: correct \\ you \: can \: put \: 1 \: 2 \: 3 \: 4numbers \: in \: equations \: and \: find \: best \: answer[/tex]
Which of the following shows the prime factorization of using exponential notation?
Which of the following shows the prime factorization of using exponential notation?
Which of the following shows the prime factorization of using exponential notation?
Which of the following shows the prime factorization of using exponential notation?
Which of the following shows the prime factorization of using exponential notation?
how do i simplify 12 /16 to the lowest terms and find equivalent fraction that has a denominator of 32
The prime factorization of 72 using exponential notation is 2³ x 3².
What is Prime Factorization?Prime factorization is a process of writing all numbers as a product of primes.
Given:
Prime factorization is representing a number in form of products of its primes.
Consider the given number 72
72 = 2 x 2 x 2 x 3 x 3
So, 72 can be written as 2 × 2 x 2 × 3 × 3.
Thus, exponential notation it can be written as 2³ x 3².
Also, Simplifying 12 /16 as
= 12/16
= 3/4
and, the equivalent fraction whose denominator is 32.
Then, 3/4 = x/32
4x = 96
x = 24
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-15 POINTS-
Don’t explain.
Y=[?]
Step-by-step explanation:
of course I need to explain it, since you don't know how to get it. that is the purpose of Brainly. not to be a calculator slave to you, but to enable you to solve similar problems on your own in the future.
both shapes are similar.
that means that
1. both have the same angles
2. there is one common scaling factor for all pairs of corresponding sides (and other lengths as heights, ...).
we need 2. here to solve.
AB / EF = f = 3/2
x = AD
x / EH = f = 3/2
x / 2.4 = 3/2
x = 2.4 × 3/2 = 7.2 / 2 = 3.6
One end of a cable is attached to the top of a flagpole and the other end is attached 6 feet away from the base of the pole.
If the height of the flagpole is 6 feet, find the length of the cable.
i think it 134
sorry if it wrong
Can someone solve this
Answer:
So the side with the red square is 90 degrees. Anytime you see that that's what it will be. The inside of the triangle should equal 180 so 90 + 60 is 150. 180-150 = 30
Two side lengths are 90 and 30.
Step-by-step explanation:
If the x and y are pythagorean theorem then a2+b2=c2
If not then y= 120
and x= 150
the outside should equal 360
Choose the function that represents the data in the table.
0
-3
1
-1
2
1
3
3
4
5
5
7
O f(x) = - 3
f(x) = 2x-3
f(x) = x2-3
f(x) = 2x2-3
Answer: C
Step-by-step explanation:
i just took the test of edg2021
The function hat represents the data in the table is :
f(x) = 2x² - 3.
What is function?A function is a relation between a dependent and independent variable. We can write the examples of functions as -
y = f(x) = ax + b
y = f(x, y, z) = ax + by + cz
Given is to find the function that represents the data in the table.
The given table is -
{x} 0 1 2 3 4 5
{y} -3 -1 1 3 5 7
The function that will be represented by the table will be such that the coordinates of {x} and {y} will be satisfied by that function. The function that satisfy the given coordinates in the table is → y = 2x² - 3. So, it can be concluded that the function that represents the data in the table is : f(x) = 2x² - 3.
Therefore, the function hat represents the data in the table is :
f(x) = 2x² - 3.
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Eric spent $21.85, including sales tax, on 2 jerseys and 3 pairs of socks. The jerseys cost $6.75 each and the total sales tax was $1.03. Fill in the table with the correct prices.
Item Cost
Cost of each jersey $
Cost of each pair of socks $
Cost of sales tax $
Answer
Cost of each jersey $6.75
Cost of each pair of socks $4.69
Cost of sales tax $1.03
Step-by-step explanation:
To find the cost of the socks you fist add $6.75 + $1.03 and you get $7.78.Then you subtract that by $21.85.After that you do $14.07 divided by 3 and you get $4.69.
Choose the system of equations which matches the following graph:
Question 11 options:
1)
x − 2y = 8
2x + 4y = 12
2)
x − 2y = 8
2x − 4y = 12
3)
x + 2y = 8
2x + 4y = 12
4)
x + 2y = 8
2x − 4y = 12
Thanks for helping me!
Answer:
3
Step-by-step explanation:
the equations of the lines are y= -1/2x+3(red) and y= -1/2x+4(blue)
rearrange the equations to find a match
1. y= -1/2x+ 4
y= -1/2x+3
2. y= 1/2x+4
y= 1/2x+3
3. y= -1/2x+4
y= -1/2x+3
4. y= -1/2+4
y= 1/2x-3
Find the missing length indicated. Leave your answer in simplest radical form.
Please help due today!!
A delivery person has two different delivery routes that he follows. The first route is 20.75 miles long and the second is 33.25 miles long. He travels each route 4 times a week. After 8 weeks, how many total miles has he traveled?
Answer:
He travelled: 1728 miles
Step-by-step explanation:
20.75 * 4 = 83 (Route A miles a week)
33.25 * 4 = 133 (Route B miles a week)
83 + 133 = 216 (Route A + Route B)
216 * 8 = 1728
Can someone sole this please
The value of u is given by the equation u = 37°
What is a Triangle?A triangle is a plane figure or polygon with three sides and three angles.
A Triangle has three vertices and the sum of the interior angles add up to 180°
Let the Triangle be ΔABC , such that
∠A + ∠B + ∠C = 180°
The area of the triangle = ( 1/2 ) x Length x Base
For a right angle triangle
From the Pythagoras Theorem , The hypotenuse² = base² + height²
if a² + b² = c² , it is a right triangle
if a² + b² < c² , it is an obtuse triangle
if a² + b² > c² , it is an acute triangle
Given data ,
Let the sum of total internal angles of a triangle be = 180°
Now , the triangle be ΔABC
The measure of ∠A = u + 4°
The measure of ∠B = u
The measure of ∠C = ( 180° - ( u + 41° ) ) ( angles on a straight line = 180° )
From the triangle theorem ,
u + 4° + u + ( 180° - ( u + 41° ) ) = 180° be equation (1)
On simplifying the equation , we get
2u + 184° - u - 41° = 180°
u + 143° = 180°
Subtracting 143° on both sides of the equation , we get
u = 37°
Therefore , the value of u is 37°
Hence , the value of u in the triangle is 37°
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Help me I do t know how to do this
If you can help me with these 4 questions I'll give you brainliest :))
Answer:
Mode: None
Range: 14
Median: 5.5
Mean: 6
Hope this helps!
Answer:
9. The mode is: There is no mode all the numbers occur once.
10. The range is: 14
11. The median is: 5.5
12. The mean is: 6
(x+8)² find the product, please
Answer:
Step-by-step explanation:
Answer:
Step-by-step explanation:
Maria’s vegetable garden measures 5⅔ feet by 6⅚ feet. What is the area of the garden?
Maria’s vegetable garden measures 5⅔ feet by 6⅚ feet. 38.72 feet² is the area of the garden. This can be solved using the concept of the area of rectangle.
What is area of a rectangle?A rectangle is a sort of quadrilateral with parallel sides that are equal to one another and four vertices that are all 90 degrees apart. Because of this, it is also known as an equiangular quadrilateral. Because the opposing sides of a rectangle are equal and parallel, it can also be referred to as a parallelogram.
Each and every square is a rectangle since it is a quadrilateral with right angles on all four sides. But not all rectangles are squares; for a shape to be a square, all of its sides must have the same length.
So a square is also a rectangle and a rhombus. There is no square shape in the rectangle or rhombus. The trapezium shape is a parallelogram.
Maria’s vegetable garden measures 5⅔ feet by 6⅚ feet.
So, it is a rectangular garden.
Now, area = 5⅔ feet × 6⅚ feet
or, area = 17/3 feet × 41/6 feet
or, area = 697 /18 feet²
or, area = 38.72 feet²
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Find the volume of this figure, rounded to the nearest whole number. DO NOT INCLUDE THE UNIT OF MEASURE!
Answer:
483
Step-by-step explanation:
A=1/2(a+b)h
A = 96.6
V = A x h
V = 96.6 x 5
V=483
Quentin places 58 fish in several tanks. If he places 8 fish in each tank, how many fish are not placed in the tanks but in a small fish bowl ins
Answer: 2 fishes
Step-by-step explanation:
From the question, we are informed that Quentin places 58 fish in several tanks and that he places 8 fish in each tank. This means the amount of tanks that'll be used will be:
= 58/8
= 7 2/8
Since 7 tanks will be used and each tank contains 8 fishes, the number of fishes will be: = 7 × 8 = 56
Since there are 58 fishes and 56 fishes are in the tank, there'll be a remainder of (58 - 56) = 2 fishes which will be placed in the small fish bowl.
What is the measure of missing angle F?
Answer:
84 (:
Step-by-step explanation:
9789 dived by 11 that’s it
Answer: 889.909090909
Step-by-step explanation:
divide
A biology class examined some flowers in a local meadow. They saw 36 flowers, of which 25% were perennials. How many perennial flowers did the students see?
Answer: nine
Step-by-step explanation: 36 - 25 = 9 or 25% x 1 + 36 = 9
Answer:
9
Step-by-step explanation:
1 first split 36 by 4 because 25% is 1/4
2 once when divided you should get 9 because 9x4 is 36
please please help middle school math I really need it I will give you brainliest I promise! PICTURE INCLUDED!
Consider the piecewise function.
f (x) = StartLayout Enlarged left-brace first row 2 x, x less-than 1 second row negative 4, x = 1 third row x + 8, x greater-than 1 EndLayout
The function has a discontinuity at x = 1. What are Limit of f (x) as x approaches 1 minus and Limit of f (x) as x approaches 1 plus?
Limit of f (x) = 2 as x approaches 1 minus. Limit of f (x) = 9 as x approaches 1 plus.
Limit of f (x) = 9 as x approaches 1 minus. Limit of f (x) = 2 as x approaches 1 plus.
Limit of f (x) = negative 4 as x approaches 1 minus. Limit of f (x) = negative 4 as x approaches 1 plus.
Limit of f (x) D N E as x approaches 1 minus. Limit of f (x) D N E as x approaches 1 plus.
Answer: A.
= 2
= 9
Step-by-step explanation:
edge2021
Answer:
A
Step-by-step explanation:
EDGE
Help
Fjfjdjfjdjdjdjdjjfjfjfhfjd
Answer:
A. 36°
Step-by-step explanation:
Given:
m<NST = 15x - 4
m<RSN = 6x
m<RST = 122°
Required:
m<RSN
Solution:
First we need to create an equation to determine the value of x.
Thus:
m<NST + m<RSN = 122° => angle addition postulate
15x - 4 + 6x = 122 (substitution)
Add like terms
21x - 4 = 122
21x - 4 + 4 = 122 + 4
21x = 126
21x/21 = 126/21
x = 6
✔️m<RSN = 6x
Plug in the value of x
m<RSN = 6(6) = 36°
For the following data set, find Q1, Q2, Q3 and the interquartile range.
15, 12, 23, 15, 7, 8, 21, 10, 12, 14, 16, 24, 19
Answer: q1=11 q2=15 q3=20
Step-by-step explanation:
( 25 points!!!)pls answer this all plss
Answer:
1. the second one.
2. 7 faces
3. im not positive but I believe its 9
4. 24/3 = 8 30/7 30/7= 4 and 2/7
5. underline the second, third, and 4th
6. 195 minutes. 3 hours and 25 minutes
7. 768
8. 4/2, 20/5, 16/2, 30/3
9. 20
10. 6 7/10, 10 4/5, 15 8/20
11. 0.2
12. 0.2
13. Monday and Friday
14. 3rd also known as the rhombus
15. between 6,000 and 7,000
16. equal to
Step-by-step explanation:
I hope this helps :))