Given:
The equation of given line is
[tex]y=3x-4[/tex]
A line is perpendicular to the given line and passes through the point (9,5).
To find:
The equation of the perpendicular line.
Solution:
We have,
[tex]y=3x-4[/tex]
On comparing this equation with slope intercept form [tex]y=mx+b[/tex], we get
[tex]m=3[/tex]
It means, the slope of the given line is 3.
The product of slopes of two perpendicular lines is -1.
[tex]m\times m_1=-1[/tex]
[tex]3\times m_1=-1[/tex]
[tex]m_1=-\dfrac{1}{3}[/tex]
Point slope form of a line is
[tex]y-y_1=m(x-x_1)[/tex]
Where, m is the slope.
The slope of perpendicular line is [tex]-\dfrac{1}{3}[/tex] and it passes through the point (9,5). So the equation of the line is
[tex]y-5=-\dfrac{1}{3}(x-9)[/tex]
[tex]y-5=-\dfrac{1}{3}(x)-\dfrac{1}{3}(-9)[/tex]
[tex]y-5=-\dfrac{1}{3}x+3[/tex]
Adding 5 on both sides, we get
[tex]y-5+5=-\dfrac{1}{3}x+3+5[/tex]
[tex]y=-\dfrac{1}{3}x+8[/tex]
Therefore, the equation of required line is [tex]y=-\dfrac{1}{3}x+8[/tex].
Which equation represents the following quadratic equation written in vertex form?
x2 + 4x - 2= 0
the Answer is x= -- 2 + V 6
12 square + 9 square= c square
Answer:
21 square I think bc 9 + 12 = 21
Step-by-step explanation:
Answer:225 squ.
Yw*-*
How many centimeters of cubic amounts to the volume of the cube with a edge of 0.1 m
Answer:
[tex]V=1000\ cm^3[/tex]
Step-by-step explanation:
The edge of the cube, a = 0.1 m
We need to find the volume of the cube. The formula for the volume of the cube is given by :
[tex]V=a^3[/tex]
Put the respected values,
[tex]V=(0.1)^3\\\\V=0.001\ m^3\\\\or\\\\V=1000\ cm^3[/tex]
So, the volume of the cube is equal to [tex]1000\ cm^3[/tex].
How do people do taxes?
Answer:
Like do a form on the internet or do a form in mail
Step-by-step explanation:
Please answer and i'll do what ever you want! also brainleast and 100 points included
Which ordered pair is the best estimate for the solution of the system of equations?
y=−34x−2y=x+6
a (−4.5,1.75)
b(−4.25,1.5)
c(−4.5,1.5)
d(−4.75,1.75)
Use the second equation. Replace x with the answer choices and if it equals the y value than that is the answer:
Y = x + 6
-4.5 + 6 = 1.5
The answer would be C. (-4.5,1.5)
Answer:
c(−4.5,1.5) is your answer
which statement is always true about a parallelogram?
Answer:
Option C will be your answer
Step-by-step explanation:
have a nice day and good luck!! :)
Find the value of x.
140
40
A. 50
B. 90
C. 20
D. 70
Hannah decided to make finger gelatin for a huge children’s party. She had to make 8 packs of gelatin. Each pack needed 2 cups of water. How many quarts of water will she need? a 8 quarts
b 3 quarts
c 4 quarts
d 6 quarts
Answer:
C.) 4 quarts
Step-by-step explanation:
(Keep in mind that 4 cups=1 quart
1 pack=2 cups2 packs=4 cups/1 quart3 packs=6 cups4 packs=8 cups/2 quarts5 packs=10 cups6 packs=12 cups/3 quarts7 packs=14 cups8 packs=16 cups/4 quarts16 cups=4 quartsHope this helped!! :)
Stay safe and have a wonderful day/night!!!!!
Brainliest?!?!
Answer:
4 quarts
Step-by-step explanation:
8x2c= 16oz
16oz÷2c= 8pt
8pt÷2pt=4qt
4QT
go pico go go go go pico go (help me answer this )
Answer:
a
Step-by-step explanation:
Help me please, This is due in a little
Answer:
Linear.
Why?
Y= 10 x 2^x
Is a linear because when a number has "^x" in it that means it is a linear.
What is the mean of 46, 37, 34, 31, 29, and 24?
Matt needs to buy 13 cases of oil. Each case contains 24 bottles. How many bottles of oil will Matt have?
Answer:
312
Step-by-step explanation:
24×13=312
Hope that helps
122213434234=13341612356=??
Answer:
1226778109
Step-by-step explanation:
Ichiro bought 5 candy bars for $5.50. How much would he pay if he bought 9 candy bars
A. $9.90
B.$ 1.10
C.$27.50
Answer:
A
Step-by-step explanation:
Each candy bar is $1.10
How do I do Angle Measures of Parallel Lines
Answer:
Two lines are parallel if the have the same slope. Example 1: Find the slope of the line parallel to the line 4x – 5y = 12. To find the slope of this line we need to get the line into slope-intercept form (y = mx + b), which means we need to solve for y: The slope of the line 4x – 5y = 12 is m = 4/5.
Step-by-step explanation:
The manager of a music store surveyed a random sample of customers who shop in the store about their favorite type of music. The table shows the number of customers who selected each type of music.
Answer:
C
Explanation:
Add all the people of the compared categories together
5 + 9 + 12 = 26
26 < 27 is true
therefore, C
Turn this fraction into a decimal. Show your work. 13/16.
Answer:
0.8125
Step-by-step explanation:
First , we all know that fraction is like division.
So I divided 13 by 16
Then I got my answer
Answer:
.812
Step-by-step explanation:
13/16 = .812
The fraction sign also means to divide, so all you do is 13/16 = .812
Work:
First, multiply 13 by 10^1 to get 130, then you can divide.
[tex]\sqrt[16]{130} \\[/tex] = 8.12. Finally, you take the 10^1 you did from 130 and divide 8.12 to get .812
Write an expression for 11 more than a
Answer:
a + 11
Step-by-step explanation:
a + 11
a is the variable, plus 11.
anyone got ph recommendations lol
Answer: hmmmmmmmmmmmmmmmm no sorry
Step-by-step explanation: thanks for the points tho G
32 + x = -12
What is the very first step?
Answer: The first step would be to subtract 32 from both sides.
Step-by-step explanation:
The answer to the whole equation is -44.
To get -44 you need to get rid of the 32 to get the x to be alone.
explain how the following diagram demonstrates the pythagorean theorem?
Answer:
the largest block represents the hypotenuse which would be c² the smallest can either be a or b and the block thats left over will be the letter you didn't use for the small block so in terms the blocks represents a²+b²=c²
[tex]\bold{a^2+b^2=c^2}[/tex] is indeed the Pythagorean theorem. It implies that adding the hypotenuse square as well as the two sides of a right triangle equals the hypotenuse square.
Calculating value by using the Pythagorean theorem:The smallest side of the triangle in this instance contains 36 squares, which equals [tex]\bold{6^2}[/tex]. The triangle's bigger side has 64 (or [tex]\bold{8^2}[/tex]) squares. You get 100 by multiplying 36 and 64, which is the same as [tex]\bold{10^2}[/tex]. Using the formula [tex]\bold{a^2+b^2=c^2}[/tex], you should arrive at [tex]\bold{6^2+8^2=10^2}[/tex].Find out more information about the Pythagorean theorem here:
brainly.com/question/343682
PLS ANSWER ASAP WHOEVER ANSWERS FIRST AND ANSWWRES CORRECTLY WILL GET BRAINLIEST AND WILL GET A THANK YOU
Answer:it’s the 3rd
Step-by-step explanation:
Answer:
7y+8
Step-by-step explanation:
You add all of the X's together and the singular numbers together to get the answer
click on me for a picture!
- HERES A BETTER EXPLANATION: Angle 1 is 140°. You need to find the value of angles, 2, 3, and 4. I’m pretty sure everything should add up to 360°
Answer:
140
Step-by-step explanation:
1 and 3 are vertical angles meaning they are equal. 4 and 3 make a straight angle. A straight angle is 180.
180-140=40
2 and 4 are straight angles so should be equal.
1=140
2=40
3=140
4=40
Find the median of the data in the dot plot below.
centimeters
Height for each toddler
at Ms. Cabrera's daycare
Loi
:
Es
+
+
+
80
81
82
83
84
85
86
Height (centimeters)
AY
Using it's concept, it is found that the median of the data in the dot plot is 83.5.
What is the median of a data-set?The median of the data-set separates the bottom half from the upper half, that is, it is the 50th percentile.
The dot plot gives the number of times each measure appears, hence in this problem, the data-set is composed by:
{81, 82, 83, 83, 84, 84, 85, 85}
Even cardinality, hence the median is the mean of the two middle elements, 83 and 84, hence:
M = (83 + 84)/2 = 83.5.
The median of the data in the dot plot is 83.5.
More can be learned about the median of a data-set at https://brainly.com/question/22481790
Nina pays $32.67 to mail a package. It costs $0.45 per ounce to mail package. How much does Nina's package weight?
A group of friends wants to go to the amusement park. They have no more than $245 to spend on parking and admission. Parking is $9.25, and tickets cost $25.75 per person, including tax. Which inequality can be used to determine pp, the maximum number of people who can go to the amusement park?
Answer:
25.75x+9.25
Step-by-step explanation:
9.25 is the constant. You multiply the ticket by the amount of people to get ticket cost. Then you add ticket cost 9.25 to get final answer.
Inequality is 9.25 + 25.75 × p ≤ 245 which represents the maximum number of people who can go to the amusement park.
What is inequality?Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.
We have been given that the group of friends has no more than $245 to spend on parking and admission.
And the parking is $9.25, and tickets cost $25.75 per person, including tax.
Let the number of people would be p who can go to the amusement park,
So the inequality that expresses the relationship is
⇒ 9.25 + 25.75 × p ≤ 245
Therefore, inequality is 9.25 + 25.75 × p ≤ 245 which represents the maximum number of people who can go to the amusement park.
Learn more about the inequalities here:
brainly.com/question/20383699
#SPJ2
Let x=−118 and y=−114 .
Which expression has a negative value?
Multiple choice question.
A)
x+y
B)
x−y
C)
x·y
D)
xy
Answer:
A
Step-by-step explanation:
negative +negative =negative
Which function is graphed
Answer -2-
Step-by-step explanation:
find the value of f(4)
Answer:
5
Step-by-step explanation:
For this question, look for the y value when x=4. The y-value when x=4 is 5.
If AB=4 feet & AD=10 feet & m
What is DC?
What is BD?
What is m
What is m
Answer:
1. DC = AB = 4 ft
2. BD = 10.80 ft
3. m<CED = [tex]90^{0}[/tex]
4. m<EBC = [tex]65^{o}[/tex]
Step-by-step explanation:
From the given quadrilateral,
Given: AB = 4 ft, AD = 10 ft and m<BAE = 65.
1. DC = AB = 4 ft (opposite sides of a parallelogram are equal)
2. Applying the Pythagoras theorem to ΔABD, we have;
[tex]/hyp/^{2}[/tex] = [tex]/Adj 1/^{2}[/tex] + [tex]/Adj 2/^{2}[/tex]
[tex]BD^{2}[/tex] = [tex]4^{2}[/tex] + [tex]10^{2}[/tex]
= 16 + 100
= 116
BD = [tex]\sqrt{116}[/tex]
= 10.7703
BD = 10.80 ft
3. m<CED = [tex]90^{0}[/tex] (the diagonals bisects each other at right angle)
4. m<ABC + m<BAC + m<ACB = 180
90 + 65 + m<ACB = 180
m<ACB = 180 - 155
m<ACB = [tex]25^{0}[/tex]
So that,
m<BEC + m<EBC + m<ECB = 180
90 + m<EBC + 25 = 180
m<EBC = 180 - 115
m<EBC = [tex]65^{o}[/tex]