The lines represented by the equations y=\frac{4}{5}x+8y= 5 4 x+8 and 20y+25x=18020y+25x=180 are
Given:
The equations of lines are
[tex]y=\dfrac{4}{5}x+8[/tex]
[tex]20y+25x=180[/tex]
To find:
The relation between two of lines.
Solution:
The slope intercept form of a line is
[tex]y=mx+b[/tex]
Where, m is slope and b is y-intercept.
We have,
[tex]y=\dfrac{4}{5}x+8[/tex] ...(i)
[tex]20y+25x=180[/tex] ...(ii)
Equation (i) can be written as
[tex]20y=-25x+180[/tex]
[tex]y=\dfrac{-25x+180}{20}[/tex]
[tex]y=\dfrac{-25x}{20}+\dfrac{180}{20}[/tex]
[tex]y=\dfrac{-5x}{4}+9[/tex] ...(iii)
On comparing (i) with slope intercept form, we get
[tex]m_1=\dfrac{4}{5}[/tex]
On comparing (iii) with slope intercept form, we get
[tex]m_2=-\dfrac{5}{4}[/tex]
Now,
[tex]m_1\times m_2=\dfrac{4}{5}\times (-\dfrac{5}{4})[/tex]
[tex]m_1\times m_2=-1[/tex]
The product of slopes of both lines is -1. We know that the product of slopes of two perpendicular lines is -1.
Therefore, the given lines are perpendicular.
Evaluate Each Function:
p(x)=x-3; find p(x/3)
A. 3x-3
B. 2x-3
C. -3+[tex]\frac{1}{3}x[/tex]
D. x-6
Answer:
C. - 3 + 1/3xStep-by-step explanation:
Given
p(x)=x - 3Find
p(x/3)Substitute x with x/3:
p(x/3) = x/3 - 3 = -3 + 1/3xCorrect choice is C.
I suck at math please help!
Answer:
62
Step-by-step explanation:
the triangles angles always add up to 180 degrees
66+52=118
180-118=62
hope this helps :) have a nice day !!
PLEASE HELP ME ON MATH ASAP
Answer: the answer is 4
Step-by-step explanation: 3x4 is 12 so 12-(2+4)=6
SOMEONE PLS HELP I DONT WANT TO FAIL THIS TEST
AB is parallel to DE in the map below.
A
15 feet
6 feet
D
C с
x feet
B В
9 feet
m
Which proportion solves for the distance between D and E?
A proportion which solves for the distance between D and E is: 9/6 = 15/x.
The properties of similar triangles.In Geometry, two (2) triangles are said to be similar when the ratio of their corresponding sides are equal and their corresponding angles are in congruence.
By applying the properties of similar triangles, we have this expression:
AB/DE = BC/CD
Substituting the given parameters into the expression, we have;
9/6 = 15/x.
Read more on similar triangles here: https://brainly.com/question/7411945
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The grades Katya earned on her last 10 math quizzes:{92, 80, 88, 100, 94, 98, 72, 80, 96, 84} Which measurement is the greatest? Please can u help?
Answer:
https://preview.redd.it/t4p9fgd30ag61.gif?format=mp4&s=56295791fda9b2006756326ff4863b84a5c30271
Step-by-step explanation:
Someone please help!
Answer:
its B
Step-by-step explanation:
They are all direct variations
2 x 10^-1 4 x 10^2 how many times longer
Answer:
2x10^-12
Step-by-step explanatiion:
Simplify:
3(n-2)
whats the answer?
Answer: 3n-6
Step-by-step explanation: You have to use the distributive property. 3 times n is 3n and 3 times -2 is -6.
Solve the following systems of equations without graphing
5x + 10y = 30
-5x +15y = 20
Answer:
(2, 2)
Step-by-step explanation:
In this case, elimination would be the most efficient means of solving.
Simply, add the two equations, and you will be left with only one variable to solve for. (In this case y) You are then able to take your solution and plug it into an equation and solve for x, therefore giving you their intercept.\
5x + 10y = 30
+
-5x + 15y = 20
(x's cancel) 25y = 50
25y = 50
y = 2
5x + 10(2) = 30
5x + 20 = 30
5x = 10
x = 2
The solution to this equation is (2, 2)
Value of x? I need this very quickly.ASAP.
Answer:
x = 5
Step-by-step explanation:
The sum of the angles of a triangle is 180°.
(180 - 18x + 5) + (-1 + 8x) + 46 = 180
⇒ 180 - 18x + 5 - 1 + 8x + 46 = 180
⇒ -10x + 230 = 180
⇒ -10x = -50
⇒ x = 5
PLZ HURRY PICTURE IS THERE
Answer:
area of circle=4/3 π4²=67cm²
Directions: Solve for x. Round to the nearest tenth. 16" N 37
The value of x is: x = 35.57.
Here, we have,
given that,
from the given diagram, we get,
it is a right angle triangle,
base = x
hypotenuse = 37
and angle = 16°
now, we know that,
cos θ = adjacent / hypotenuse
so, we get,
cos 16° = x/37
The value of cos 16° is equal to the x-coordinate (0.9613).
∴ cos 16° = 0.9613.
=> 0.9613 = x/37
=> x = 35.57
Hence, The value of x is: x = 35.57.
To learn more about trigonometric relations click :
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The formula for the surface area of a cube is 6 s2 , where s is the length of one side of the cube. What is the volume of the cube shown below if each side is 5 ft long?
Answer:
125ft³
Step-by-step explanation:
The volume of a cube is expressed as
s³
Where s = length of each(one) side.
From. The question, s= 5ft
Therefore,
The volume of the cube => (5ft)³
= 125 ft³
please give me the answer help a brother out
Answer:
F
Step-by-step explanation:
Answer:
H
Step-by-step explanation:
Evaluate if x=1/2
2x+8+12x
What’s the answer
Plssssssss answer thissssss!
simplify
(2x-1/x^2-2x-3) + (1/x-3)
Answer:
-6x²+x-1 x²Step-by-step explanation:
Used photomath witch is an app that takes photos of equations and can solve them or simplify them.
If point A is rotated 90 degrees clockwise about the origin, what are the coordinates of the new point?
Answer:
i think (-5)
Step-by-step explanation:
i hope its correct
need help ty I’ll give brainliest
Answer:
120
Step-by-step explanation:
all angles of a triangle add up to 180. 180-15-45= 120.
:D
brainliest pls
Given :
Measure of an angle = 15°
Measure of the second angle = 45°
Let the measure of the third angle be x.
We know that :
▪︎Sum of all angles of a triangle = 180°[angle sum property]
Which means :
[tex] =\tt 15 + 45 + x = 180[/tex]
[tex] =\tt 60 + x = 180[/tex]
[tex] =\tt x = 180 - 60[/tex]
[tex]\hookrightarrow\color{plum}\tt \: x = 120°[/tex]
Thus, the measure of the third angle = 120°
Since the sum of all these angles is equivalent to 180°[15+45+120=180] we can conclude that we have found out the correct measure of the third angle.
Therefore, the correct option is (C) 120
Cameron is creating a garden. He designs a rectangular garden with a length of (x + 4) feet and a width of
(x + 3) feet. When x = 5, what is the area of the garden?
The area of Cameron's garden is Ft^2
Plzzz help no one ever helps me
Answer:
72 [tex]ft^{2}[/tex]
Step-by-step explanation: to find the area is length multiplied by width. plug 5 into the equations and you get (9)(8)=72. the unit is feet squared, so your answer is 72[tex]ft^{2}[/tex]
On a map, Norristown is 18 miles south of Lincoln, and Lincoln is 29 miles west of Allenport. Find the distance from Norristown to Allenport
Answer:34.1
Step-by-step explanation:
Please help.
Is algebra.
Answer:
Step-by-step explanation:
#3 D
#4 c
Answer:
1. D
2. C
Step-by-step explanation:
I used a ✨calculator✨
PLSS HELP ME IN MATH!!!
..........the answer is 48 × 10^-8
45 is ________% of 300
Answer:
15
Step-by-step explanation:
100/300=.3333333
.33333x45=15
Complete the table
Original price- $60
Percent of Discount- ??
Sale price- $45
What is the percent of discount?
Answer:
Hey there! Therefore, your discount would be 25%.
Step-by-step explanation:
Find all numbers whose absolute value is 6.
Answer:
6 and -6
|6|=6
|-6|=6
Find the slope that passes through the line (9, 3) and (2, 7)
Answer:
-4 / 7
Step-by-step explanation:
m = (y2 - y1) / (x2 - x1)
m = (7 - 3) / (2 - 9)
m = 4 / -7
m = -4 / 7
OR
m = (y2 - y1) / (x2 - x1)
m = (3 - 7) / (9 - 2)
m = -4 / 7
Jada was solving the equation
6
−
x
=
−
16
6−x
=−16. She was about to square each side, but then she realized she could give an answer without doing any algebra. What did she realize?
The solution Jada seeks does not require any algebra but can be solved to give; x = 22.
How to solve the equationWhen solving the given equation;
6 - x = -16The solution of the equation can be obtained by subtracting 6 from both sides of the equation so that we have;
-x = -16 -6-x = -22.Therefore, the value of x is; 22
Read more on equation;
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what can be concluded from the graph
Answer:
Either B or D
Step-by-step explanation:
18 1/4 as an improper fraction
Answer:
73/4
Step-by-step explanation:
18x4 = 72. 72 + 1 = 73
Answer: 73/4
Step-by-step explanation:
An improper fraction is simply a fraction in which the numerator is larger than the denominator. Thus, simply convert 18 into fourths, 72/4, then add 1/4 to get 73/4
Hope it helps <3 :D