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.
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.
Someone please help!
Answer:
its B
Step-by-step explanation:
They are all direct variations
The length of a ribbon is 5 6 meter. Sun Yi needs pieces measuring 1 5 meter for an art project. What is the greatest number of pieces measuring 1 5 meter that can be cut from the ribbon? How much ribbon will be left after Sun Yi cuts the ribbon?
Answer:
5
Step-by-step explanation:
Hope this helps
if 4 books cost $52, how much will 2 books cost?
Answer: 2 books would cost $26.
Step-by-step explanation:
4 books : $52 You need to get down to 2 books. Divide 4 by 2 and .............................................52 by 2.
2 books : $26
help 8+x2=−12..im confused
Answer:
Step-by-step explanation:
No real solutions exist. Subtract 8 on both sides to get:
[tex]x^2=-20[/tex]
You cannot take the square root of a negative number without involving imaginary numbers.
Answer and Explanation
__________________________________________________________
-10__________________________________________________________
The answer is -10 because...
You need to multiply 2 by "x," and to find out what "x" is, we need to add...
[tex]2+-12[/tex]
__________________________________________________________
And if we add [tex]2[/tex] by [tex]-12[/tex], we get [tex]-10[/tex], which is our answer.
__________________________________________________________
and now, if we add [tex]-20[/tex] by [tex]8[/tex], we get [tex]-12[/tex], which is what the equation equals, and this is how we know it is correct.
__________________________________________________________
Hope this helps! :)
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
Anybody good in geometry and know how to do this? Free Brainliest and points!
Answer:
Step-by-step explanation:
That is a horizontal reflection about the vertical line x=2.
Answer:
the answer is B. reflection over y = 4
Step-by-step explanation:
Evaluate if x=1/2
2x+8+12x
What’s the answer
Plssssssss answer thissssss!
Find all numbers whose absolute value is 6.
Answer:
6 and -6
|6|=6
|-6|=6
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 !!
solve this and show work
Answer:
1.71
Step-by-step explanation:
x/4 = 3/7
4 * 3 = 12
12/7 = 1.714285714285714
Rounded to the nearest hundreths, the answer is 1.71
In 2011, 39 people died by being struck by lighting, and 24 people were injured. There were l 310,000,000 people in the United States. What is the probability of being one of the people struck by lighting
Answer: 0.0000203%
Step-by-step explanation:
The total number of people struck by lightning includes both those who died and those who were injured:
= 39 + 24
= 63 people
Probability of being struck is:
= People struck / U.S. Population
= 63 / 310,000,000
= 0.0000203%
what is needed in order to write the equation of a line in slope intercept form
Answer:
Step-by-step explanation:
you only need the rate of change and the y intercept.
At the zoo the ratio of monkeys to gorillas is 5:1 if there were 20 monkeys how many gorillas would there be?
Answer:
4
Step-by-step explanation:
To get to 20 you have to multiply 5 by 4 so do the same with the 1 and multiply by 4 to make it proportional. 1 x 4= 4. There would be 4 gorillas
In a lab, 700 cells are present at the beginning of an experiment. During the first 7 hours,
the number of cells increased by 12% each hour.
Estimate the time when the number of cells is 1735.
Round answer to nearest whole hour.
Answer:
2 hours
Step-by-step explanation:
1=700
x=1735
1735=700x
1735/700
x=2.47
Answer:
Step-by-step explanation:
This is an exponential equation of the form, A=ar^t, where a is the initial amount and r is the common ratio or rate of growth and t is time. In this case.
A=700(1.12)^t and we want to find when A=1735
1735=700(1.12)^t
1735/700=1.12^t
ln(1735/700)=t(ln(1.12))
t=(ln(1735/700))/(ln(1.12))
t=8 hours
hello can someone help me with this?
Answer:
11/21/52100-1-1/2-1/5-2-10A group of students go to the store to buy school supplies. If they buy three
binders and four notebooks, the bill will be $4.85. If they buy three binders and
ten notebooks, the bill will be $8.75. What is the cost of each binder and
notebook?
Answer: Binder = 75c notebook = 65c
Step-by-step explanation:
3b + 10n = 875
3b + 4n = 485
Subtracting gives:
6n = 390
390/6 = 65
n = 65
Substitute 65 into 3b + 4n = 485
3b + 260 = 485
3b = 485 - 260
3b = 260
b = 75
HELP ME! im not sure !
Answer:
193.2
Step-by-step explanation:
The way you would find the volume to a rectangular prism, is multiplying your length x width x height.
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
#SPJ1
PLSS HELP ME IN MATH!!!
..........the answer is 48 × 10^-8
what percentage of this 100 square grid is shaded?
Answer:
80 percent
20 for the first shaded multiply with 4 and its 80
help with hw plz also I already found x
Step-by-step explanation:
If you found x already just look for the triangle that equals 180 or whatever the total angle is for problem.
Which of the polygons can always be classified as a rhombus?
a) Quadrilateral
b) Trapezoid
c) Rectangle
d) Square
Answer:
c
Step-by-step explanation:
2 x 10^-1 4 x 10^2 how many times longer
Answer:
2x10^-12
Step-by-step explanatiion:
Please help due today
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
can yall plz help and show work
Answer:
#4: ≤
Step-by-step explanation:
What is m∠1?....................
answer is 147
hope that helped
Answer:
m∠1 = 147°
Step-by-step explanation:
triangle = 180°
117 + 30 = 147
180 - 147 = 33
line = 180°
180 - 33 = 147
m∠1 = 147°
I need help with these questions. Please show workings.
Answer:
see explanation
Step-by-step explanation:
∠ AOB = 360° - 264° = 96°
The altitude OM bisects ∠ AOB and the base AB
(a)
∠ MOB = 0.5 × 96° = 48°
Using the cosine ratio in right triangle MOB
cos48° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{OM}{OB}[/tex] = [tex]\frac{18}{r}[/tex] ( OB is the radius r of the circle )
Multiply both sides by r
r × cos48° = 18 ( divide both sides by cos48° )
r = [tex]\frac{18}{cos48}[/tex] ≈ 27 cm ( to the nearest cm )
(b)
Using the tangent ratio in the right triangle MOB
tan48° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{MB}{OM}[/tex] = [tex]\frac{MB}{18}[/tex] ( multiply both sides by 18 )
18 × tan48° = MB then
AB = 2 × MB = 2 × 18 × tan48° = 36 × tan48° ≈ 40 cm ( to nearest cm )