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.
Fireworks are set off from a hill 80 feet above the Mississippi. The outer
shells will fall after exploding at its maximum height. The firework's height
about the surface of the river is given by the function h(t) = -16t^2 + 64t +
80. What is the height of the rocket after 1.5 seconds?
Answer:
752 ft
Step-by-step explanation:
Assuming t represents time, and the time we are trying to find is how high the rockets go after 1.5 seconds, we must take the equation and put 1.5 in wherever t occurs, this looks like:
-16(1.5)²+64(1.5)+80
solving this, we get:
-24²+96+80
576+96+80
752
Please help.17 Points
Answer:
9738.2
Step-by-step explanation:
cus I'm right 84920021
Earth makes a full rotation every
24 hours, Noptune makes a full rotation
every 16 hours. What is the ratio of
Earth rotations to Neptune Rotations?
(in simplest terms)
Answer:
I think the ratio is 3:2 :)
Please answer it is urgent.
Answer:
2/3
Step-by-step explanation:
The slope is a 2/3 gradient :>>
Answer:
I believe that the answer is 2/3.. but I may be wrong...
Step-by-step explanation:
In which quadrant, or on which axis, does the terminal side of angle 540° lie?
Your answer:
A. Q II
B. QIII
C. Quadrantal angle / positive x-axis
D. Quadrantal angle / negative x-axis
7. What is the slope of the line that passes through the points (14, -18) and (5, -12)?
Answer:
slope =[tex]-\frac{2}{3}[/tex]
Step-by-step explanation:
Use the slope formula [tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex] to find the slope, or [tex]m[/tex]. The [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of one point, and the [tex]x_2[/tex] and [tex]y_2[/tex] represent the x and y values of another point. So, substitute the x and y values of the points (14, -18) and (5, -12) into the formula and solve:
[tex]m = \frac{(-12)-(-18)}{(5)-(14)}\\m = \frac{-12+18}{5-14}\\m = \frac{6}{-9} \\m = -\frac{2}{3}[/tex]
Thus, the slope is [tex]-\frac{2}{3}[/tex].
Expand & simplify
(2x + 6)2
Answer: 4x+12
Step-by-step explanation:
The distributive property states that a(b+c) = ab+ac.
Thus, simply do 2*2x+2*6 = 4x+12
Hope it helps <3 :D
Solve x2 + 10x = 24 by completing the square. What is the solution set of the equation? Show your work.
Answer:
32.6193819
Step-by-step explanation:
calulater never lies XD
Answer:
The answer should be: x=2,-12
which on your answer should backwards: {-12,2}
Step-by-step explanation:
There are 35 students in a classroom. The ratio of girls to boys is 2 to 3. How many boys and how many girls are there in the classroom?
Answer:
15 girls and 10 boys
Step-by-step explanation:
Answer:
students=35
ratio of girls to boys=2:3
2+3=5
girls.
⇒[tex]\frac{2}{5}[/tex]×35
⇒2×7
⇒14
boys
⇒[tex]\frac{3}{5}[/tex] × 35
⇒3×7
⇒21
Step-by-step explanation:
The value of y varies directly with x. When y = 75, X = 3. What is the value of y when * is is 21
Answer:
7
Step-by-step explanation:
21 / 3 = 7
I hope this helps u! :D
pls answer this one
By prime factorisation method factorize 400 and find the sum of prime numbers involved.
Step-by-step explanation:
PLS MARK ME AS BRAIN LIST ANSWER
What is the slope of the line below asap plzzzzzzzzzzzzzzzzzzzzz quick
Answer:
w of king akinf arro
Step-by-step explanation:
What is the new location of the point (7,-8)
when it has been rotated 90 degrees?
Answer: The answer is A
Step-by-step explanation:
Challenge A gold mine has two elevators, one for equipment and another for the miners. The
equipment elevator descends 6 feet per second. The elevator for the miners descends 13 feet per
second. One day, the equipment elevator begins to descend. After 32 seconds, the elevator for the
miners begins to descend. What is the position of each elevator relative to the surface after
another 12 seconds? At that time, which elevator is deeper?
The nosition of thn
in
Answer:
.
Step-by-step explanation:
Explain how to solve the equation 21 = m +14. What is the value of m?
Enter your explanation and answer in the space provided.
Answer:
m = 7
Step-by-step explanation:
21 = m + 14
21 - 14 = m
m = 7
Pattie buys a handbag that costs 240 dollars and a scarf that costs 86 dollars. If sales tax is 7%, what is the total purchase price including tax?
Answer:
$348.82
Step-by-step explanation:
240 +86=326
326× 7%= 22.82
326+22.82= $348.82
Answer:
$348.82
Step-by-step explanation:
If f(1) = 9 and f(n) = 4f(n − 1) then find the value of f(4).
Answer:
576
Step-by-step explanation:
f(2) = 4f(1) = 4*9 = 36
f(3) = 4f(2) = 4 * 36 = 144
f(3) = 4f(3) = 4 * 144 = 576
You travel 36 miles north and then 15 miles east. How far are you from your starting point?
Answer:
21 is the correct answer because
Calculate angle y
Can somebody work this out?
Answer:
y = 110
Step-by-step explanation:
ABCD is a cyclic quadrilateral ( its vertices are on the circle )
The opposite angles are supplementary, sum to 180° , then
∠ C = 180° - 70° = 110° , thus
y = 110
Ali has invited 18 adults and 6 children to a cookout.
Mo, Ali’s best friend, suggests that Ali seat an equal number of adults and an equal number of children at each table.
What is the greatest number of tables Ali could use? How many adults and how many children would be seated at each table? Explain.
Answer:
Ali could use 6 tables. There would be 3 adults
and 1 child seated at each table.
Step-by-step explanation:
GCF to find the number of tables:
18: 1, 2, 3, 6 , 9, 18;
6: 1, 2, 3, 6 .
102 = 1.2 x w
what is w?
Answer:
122.4
Step-by-step explanation:
Just Divide.
Answer:
85
Step-by-step explanation:
1x2 x 85 = 102
Ill give brainliest,
The fastest train on Earth, the TGV from France can travel at faster speeds than most any other train. During a test, the train travel 800 miles in 2.5 hours. What is its speed?
Answer:
The fastest car on Earth, a British-made Thrust SSC, would win every ... The fastest train on Earth, the TGV from France, can travel at faster speeds than trains in the United States. During a speed test, the train traveled 800 miles in 2.5 hours. What is its ... Based on this speed.
Step-by-step explanation:
The speed of the train is 320 miles per hour.
What is speed?Speed is the ratio of the given distance and time.
It shows how fast an object is moving at a given time.
The formula is Distance / Time.
We can find the distance or time when the required values is given using this formula.
We have,
The speed of the TGV train can be calculated using the formula:
Speed = distance/time
where distance is given in miles and time is given in hours.
In this case,
The distance traveled by train is 800 miles, and the time taken to travel this distance is 2.5 hours.
Substituting these values into the formula, we get:
Speed = 800 miles / 2.5 hours
Simplifying the expression on the right-hand side, we get.
Speed = 320 miles per hour
Therefore,
The speed is 320 miles per hour.
Learn more about speed here:
https://brainly.com/question/7359669
#SPJ2
I have to turn it in by tonight
Answer: (x,y) -> (x,-y)
Step-by-step explanation:
If you take any point, for example (-1,1) from the blue shape, you have to multiply the y value by -1 to get to (-1,-1) for the red shape. You can test it out with any point on the two figures.
Also, by looking at it, you can see that it is a reflection over the x axis and a reflection over the x axis always just multiplies the y value by -1.
Workout 2/7+1/5 and then simplyfy it
Answer:17/35
Step-by-step explanation:
The fractions have unlike denominators. First, find the Least Common Denominator and rewrite the fractions with the common denominator.
LCD(2/7, 1/5) = 35
Multiply both the numerator and denominator of each fraction by the number that makes its denominator equal the LCD. This is basically multiplying each fraction by 1.
(2/7x5/5)+(1/5x7/7)=?
Complete the multiplication and the equation becomes
10/35+7/35=?The two fractions now have like denominators so you can add the numerators.
Then:10+7
——- =17/35
3
This fraction cannot be reduced.
Therefore:2/7+1/5=17/35
Do you links of a rectangle is for X +7 and the width is three if the area of the rectangle is 129 square units what is the value of X
Answer:
x = 36
Step-by-step explanation:
Length of a rectangle, x+7
Width = 3
Area of the rectangle, A = 129 units²
The area of a rectangle is given by :
A = lb
So,
[tex](x+7)\times 3=129\\\\(x+7)=43\\\\x=43-7\\\\x=36[/tex]
So, the value of x is equal to 36.
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.
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
How do solve for x in supplementary ,complementary and vertical angles
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! :)
Identify the transformation that was applied to this letter
A. Rotation about the origin
B. Reflection over the x-axis
C. Translation
D. Reflection over the y-axis