Answer:
y = -3x + 5
Step-by-step explanation:
For two lines to be perpendicular, the product of their slope must be -1.
Slope of the given line M = 1/3
Slope of the required line is m
If product is -1, then;
Mm = -1
1/3 m = -1
m = -3
SInce it intersects at the y intercept, y intercept c = 5
Get the required equation. Substitute m = -3 and c = 5 into the equation
y = mx+c
y = -3x + 5
Hence the required equation of the line is y = -3x + 5
Can someone pls help me ? I really need help
Answer:
its A.56
Step-by-step explanation:
Select the correct answer.
What is the value of y in the triangle?
y
30°
60°
6
O A.
3
OB. 6
C. 673
D.
33
This is a special kind of right triangle, called a 30-60-90 triangle.
Across from the 30 degree angle, the side is equal to x. Across from the 60 degree angle, the side is equal to x[tex]\sqrt{3}[/tex]. And across from the 90 degree angle, the side is equal to 2x.
Using what we know about 30-60-90 triangles, lets first solve for x. We know that the hypotenuse, given, is equal to 6.
2x = 6
x = 3
Then, we are looking for the side opposite of the 60 degree angle. So its value is x[tex]\sqrt{3}[/tex].
x = 3
3 * [tex]\sqrt{3}[/tex] = 3 [tex]\sqrt{3}[/tex]
y = 3[tex]\sqrt{3}[/tex] (option D)
Hope this helps!! :)
The value of y for the given triangle will be 3√3, hence option (D) will be correct.
What is a triangle?A triangle is a 3-sided shape that is occasionally referred to as a triangle. There are three sides and three angles in every triangle, some of which may be the same.
Right angle triangles are triangles in which one angle is 90°.
The sum of all three angles inside a triangle will be 180° and the area of a triangle is given as (1/2) × base × height.
Given a right-angle triangle
Let the side opposite to 30° is perpendicular and the remaining y will be base.
By trigonometric relation
cosx = base/hypotenuse
cos30° = y/6
y = 6 × cos30° ⇒ y = 6 × √3/2
y = 3√3 hence the value of the hypotenuse or y will be 3√3.
For more about triangles,
https://brainly.com/question/2773823,
#SPJ2
Solve the following rational equation plz help!!
Answer:
x = [tex]\frac{9}{4}[/tex]
Step-by-step explanation:
Given
[tex]\frac{4x}{x+1}[/tex] - [tex]\frac{5}{x}[/tex] = [tex]\frac{4}{x^2+x}[/tex] ← factor denominator
[tex]\frac{4x}{x+1}[/tex] - [tex]\frac{5}{x}[/tex] = [tex]\frac{4}{x(x+1)}[/tex]
[ x ≠ 0, x ≠ - 1 as these would make the terms undefined ]
Multiply through by x(x + 1)
4x² - 5(x + 1) = 4
4x² - 5x - 4 = 4 ( subtract 4 from both sides )
4x² - 5x - 9 = 0 ← in standard form
(x + 1)(4x - 9) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 1 = 0 ⇒ x = - 1
4x - 9 = 0 ⇒ 4x = 9 ⇒ x = [tex]\frac{9}{4}[/tex]
However, x ≠ - 1 for reason given above, then
solution is x = [tex]\frac{9}{4}[/tex]
If x + 3 = 13, then the value of 5x – 74 is
Answer:
-24
Step-by-step explanation:
We are given two equations and are asked to solve if one equals a certain amount to the other.
Let's focus on x + 3 = 13, we need to first figure out what is x. Which is very simple, what plus 3 equals 13?
10 of course, therefore x = 10, and we can implement into the other equation.
5x - 74
Since x = 10, we can substitute x with 10 and then multiply.
5(10) - 74
50 - 74
What is 50 - 74?
-24
I need help with this
Which graphs cannot represent a proportional relationship? Explain how you know.
PLEASE THIS IS DUE AT 11p.m
(i put the other one in the wrong subject)
Answer:
A and D
Step-by-step explanation:
because they pass through the origin
HELP ME PLEASE!!!!ITS DUE TODAY!!
Answer:
234
Step-by-step explanation:
1950 x 0.88 = 1716 paid
1950-1716 = 234
Find the value of x. Round your answer to the nearest tenth.
Answer:
In this question, we can use the Pythagorean theorem to solve for x.
11^2 + x^2 =24^2
x^2 = 24^2 -11^2
x is about 21.3
Let me know if this helps!
1) A basketball player made 13 out of every 20 free-throws. How many
free-throws does he make out of every 100 attempts?
Answer:
20*5=100
So it would be 13*5=65
Step-by-step explanation:
Mark works at a rock concert selling programs. He is paid $15 for
the night plus 20¢ for each program that he sells. He sells 150
programs. How much does he earn working at the rock concert?
Answer:
$45
Step-by-step explanation:
15 + (150 * 0.20)
15 + 30
$45
c) El 9 % de 700 =
d) El 15 % de 6 000 =
A TV that usually sells for $185.63 is on sale for 25% off. If sales tax on the TV is 5%, what is the price of the TV, including tax?
Answer: A TV that usually sells for $185.63 is on sale for 25% off. If sales tax on the TV is 5%, what is the price of the TV, including tax?
178.18 x 0.25 = 44.55
178.18 - 44.55 = 133.63 = sales price
133.63 x 0.05 = 6.68
133.63 + 6.68 = 140.31 = total price
Step-by-step explanation: That's how I solved it...
The average of a list of 4 numbers is 90.0 . A new list of 4 numbers has the same first 3 numbers as the original list, but the fourth number in the original list is 80 , and the fourth number in the new list is 96 . What is the average of this new list of numbers?
Answer:
94
Step-by-step explanation:
Average = sum of numbers / number of items in the set
for the first list, the average is 90 and there are four numbers, the sum of the numbers is 90 x 4 = 360
If the 4th number is 80, the sum of the first 3 numbers = 360 - 80 = 280
so the sum of the first three numbers on the second list is 260. The fourth number is 96. The sum of the numbers = 280 + 96 = 376
Average of the new list = 376 / 4 = 94
If it took 10 hours to mow
of 15 lawns, then at that
rate, how many lawns could be sell in : mowed in 24 hours? What was the
rate of lawns mowed per hour?
Find the slope of the line
y=-6/5x + 4/9
Answer:
-6/5
Step-by-step explanation:
slope =coefficient of x
14 pencils cost £3.36. How much would 8 pencils cost?
Answer:
£1.92
Step-by-step explanation:
3.36/14 will give you the cost of each pencil
£0.24 is the cost of one pencil
8 pencils will cost you £1.92
melissa takes a shower every 2 days, how many days does she take a shower in a year
Kara ran 5 miles yesterday. She ran again today. Her total distance for
both days is 6.5 miles. If she ran at a pace of 6 miles per hour today,
how long did Kara run today?
9514 1404 393
Answer:
15 minutes
Step-by-step explanation:
We can let t represent the time in hours that Kara ran today. Then her distance today is ...
distance = speed · time
distance = 6t
Her total distance for both days is ...
5 + 6t = 6.5
6t = 1.5 . . . . . . . . . . subtract 5
t = 1.5/6 = 1/4 . . . . . divide by 6
Kara ran 1/4 hour today. That is 15 minutes.
A fruit punch recipe requires 2 cups of grape juice for every 3 cups of apple juice. How
many cups of apple juice will you need if you use 9 cups of grape juice? Use a double
number line to help you answer the question. (4)
Answer:
9 cups of grape juice = 10 cups of apple juice.
Step-by-step explanation:
2 cups of grape juice = 3 cups of apple juice
9 cups of grape juice = ? cups of apple juice
9-2=7 cups of grape juice
3+7=10 cups of apple juice
9 cups of grape juice = 10 cups of apple juice.
Factor each expression by finding the GCF.
8 + 16 =
8 ( 1 + 16)
2 (4 + 16)
8 ( 1 + 2)
4 (2 + 6)
Ocean waves crash on the beach at a
velocity of 4.4 m/s. If the distance
between the crest of each wave is 4m,
find the frequency of the waves.
Answer:
f = 1.1 Hz
Step-by-step explanation:
Given that,
The velocity of an ocean wave, v = 4.4 m/s
The distance between the crest of each wave is 4 m.
We need to find the frequency of the waves.
The distance between the crest of a wave is called the wavelength of a wave.
The relation between the frequency, wavelength and the velocity of a wave is given by :
[tex]v=f\lambda\\\\f=\dfrac{v}{\lambda}\\\\f=\dfrac{4.4}{4}\\\\f=1.1\ Hz[/tex]
So, the frequency of the waves is 1.1 Hz.
3. Ifu={1,2,3,4,5,6,7,8,9, 10}
X= {1,2,4,6,7,8,9}
Y= {1,2,3,4,7,9)
and Z= {2,3,4,7,9)
Whatis XnYnZ?
(WAEC) pls help
Answer:
we conclude that:
X∩Y∩Z = {2, 4, 7, 9}Step-by-step explanation:
Given
u = {1,2,3,4,5,6,7,8,9, 10}
X= {1,2,4,6,7,8,9}
Y= {1,2,3,4,7,9)
Z= {2,3,4,7,9)
To determine
X∩Y∩Z = ?
We know that the intersection of three given sets represents the largest set which consists of all the elements that are common to all the sets.
The intersection of sets is denoted by the symbol '∩'.
Thus,
X= {1,2,4,6,7,8,9}
Y= {1,2,3,4,7,9)
Z= {2,3,4,7,9)
X∩Y∩Z = {2, 4, 7, 9}
Therefore, we conclude that:
X∩Y∩Z = {2, 4, 7, 9}The sun of two numbers is 36. The larger number is 18 more than the smaller number. What are the numbers?
Answer:
Step-by-step explanation:
a+b=36
lets name the 2 numbers a,b
b=a+18
a+a+18=36
2a=36-18
2a=18
a=9
b=27
Answer:
the numbers are 9 and 27
Step-by-step explanation:
equation to the problem: x+y=36
one number (y) is 18 times greater than the other number (x): x+18=y
plug in the 2nd equation to the first equation (systems of equations):
x+(x+18)=36
solve the equation:
2x+18=36
*minus 18 on both sides*
2x=18
*divide the whole equation by 2 to get the value of just one x*
x=9
since variable x is the n smaller number, add 18 to 9 to get the 2nd number:
18+9= 27
y=27
Find the area of the rectangle
Step-by-step explanation:
Length : 7cm
Breadth : 5cm
Area of a rectangle :
Length × Breadth
[tex]Area = 7cm \times 5cm \\ = 35 {cm}^{2} [/tex]
Can somebody plz help write the equation for each question correclty thanks :D
(Only if u done these before) :3
WILL MARK BRAINLIEST :DD
Answer:
1. 482
2. 60
HOPE THIS HELPS YOU
Answer
20. 470 = x - 12 (Solving for X: There was 482 pages before decreasing by 12)
21. 65 = x + 5 (Solving for X: There was 60 pages read before reading 5 more)
Which graph represents the inequality you found in part i.?
Answer:
Graph A represents the inequality x > 6.
A
Hope this helps have a great day
Simplify the expression [tex]5^{3}[/tex] × [tex]5^{-5}[/tex]
A. 1/5
B. 1/5^2
C. -5^2
D. 5^2
what is the slope of (4,6) and (-6,2)
Answer:
2/5
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(2-6)/(-6-4)
m=-4/-10
simplify
m=2/5
Answer:
Step-by-step explanation:
Slope is m=(y2-y1)/(x2-x1)
m=(2-6)/(-6-4)
m=-4/-10
m=2/5
Select all possible solutions for 2x + 7 < 3x - 5.
Answer:
7<x-5
12<x
x>12
Step-by-step explanation:
HELP PLEASE THIS IS EASY MATH BUT I LITERALLY DONT UNDERSTAND IT
Answer:
salim go the best deal sorry if i am wrong
(hope it helps can i plz have brainlist :D hehe)
Step-by-step explanation: