The slope of the line perpendicular to the given line is calculated by taking the negative reciprocal of the given slope.The slope of the given line is 4/3. The slope of the line perpendicular to the given line is -3/4.
To find the slope of a line perpendicular to the given line, we need to take the negative reciprocal of the slope of the given line. The equation of the given line is y = 4/3x - 5/3. To calculate the slope, we need to rearrange the equation to the form y = mx + b, where m is the slope and b is the y-intercept. Rearranging the equation to the form y = mx + b, we get y = 4/3x - 5/3 which can be written as 4/3x - y = 5/3. The slope of the given line is 4/3. To find the slope of the line perpendicular to the given line, we take the negative reciprocal of 4/3 which is -3/4. Therefore, the slope of the line perpendicular to the given line is -3/4.
y = 4/3x - 5/3
4/3x - y = 5/3.
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the cost of a school banquet is $95 plus $15 for each person attending. Write an equation that gives total cost as a function of the number of people attending. What is the cost for 77 people?
Answer:
equation: y=15x+95
it would cost $1250
Answer:
f(x) = 95 + 15x
Cost for 77 people = $1250
Step-by-step explanation:
15 x 77 = 1155
1155 + 95 = 1250
If the simple interest on a sum of money invested at 3% per annum for 242 years is N123, find the
principal
The principal is N16.94
Step-by-step explanation:
Simple Interest = (Principal × Rate × Time)/100
Principal = (Simple Interest × 100)/(Rate × Time)
Principal = (123 × 100)/(3 × 242)
Principal = 12300/726
Principal = 16.9421
A student cuts out a rectangular strip of paper that has an area of 2/3 square meter. If the width of the paper strip is 1/5 meter, what is the length of the strip, in meters?
Answer:
3 1/3
Step-by-step explanation:
Perform the inverse operation: l = a/w
(2/3)/(1/5)
Find the common denominator.
It is 15 in this case.
(10/15)/(3/15)
150/45
3 1/3
Check your work.
a = 3 1/3 x 1/5
a = 2/3
This is true.
The answer is 3 1/3
-Xax
The area of a square is 75 inches squared. A student correctly wrote the length of each side of the square as a√3. What is the value of a?
Answer: 5 in.
Step-by-step explanation:
Given
The area of the square is [tex]75\ in.^2[/tex]
The side length of the square is [tex]a\sqrt{3}[/tex]
Area of square[tex]=(\text{length})^2[/tex]
[tex]\therefore 75=(a\sqrt{3})^2\\\Rightarrow 75=3a^2\\\Rightarrow a^2=25\\\Rightarrow a=5\ in.[/tex]
Thus, value of a is 5 inch
a cylinder with a height of 6 km has a volume of 384 km, what is the radius?
Answer:
Step-by-step explanation:
V = π r^2 h so 384 = r^2 (6)
384/6 = r^2 so
64 = r^2
8 = r
Kiran cuts out a square piece of paper with side length 6 inches. Mai cuts out a paper sector of a circle with radius 6 inches, and calculates the arc length to be inches. Whose paper is larger? Explain or show your reasoning.
A circle is a curve sketched out by a point moving in a plane. The area of the circular paper is more than the area of the square.
What is a circle?A circle is a curve sketched out by a point moving in a plane so that its distance from a given point is constant; alternatively, it is the shape formed by all points in a plane that are at a set distance from a given point, the centre.
The arc length of radius 6 inches is equal to,
Length of the Arc of a quarter = 2πr×(1/4) = 2×π×6×0.25 =0.9448 inches
The area of the circular paper = πr² = π×6×6 = 113.097²
The area of the square with a side of 6 inches = 36 in²
Therefore, the area of the circular paper is more than the area of the square.
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Find the slope from the table:
X | Y
0 | -1
2 | 3
5 | 9
6 | 11
Answer:
The slope is 2
Step-by-step explanation:
Pick two points.
ex: (0,-1) and (2,3)
do the equation below where 0=x1, -1=y1, 2=x2, 3=y2
y2-y1 divided by x2-x1
3-(-1) divided by 2-0
4/2
=2
sorry this was kind of hard to explain on a computer :/
Find the volume of the given figure.
7x −28 solve for inequality
Answer:
7(x-4)
Step-by-step explanation:
You can use an Algebra calculator btw.
m-15=9 inverse operation
Answer: 24
Step-by-step explanation:
m - 15 + 15 = 9 + 15
m = 24
EAR is rotated 180° about the origin.
plsss help
Answer:
rotating ΔEAR 180° inside the right angle parallelogram circumscribed by.
original coordinates:
A (-6, 4)
R (-2, 2)
E (-5, -6)
post rotation coordinates:
A (-2, -6)R (-6, -4)E (-3, 4)A group of friends wants to go to the amusement park. They have no more than $150
to spend on parking and admission. Parking is $8, and tickets cost $17.75 per person,
including tax. write an inequality representing p,
the number of people who can go to the amusement park.
Answer: 17.75p + 8 ≤ 150 OR p ≤ 8
Step-by-step explanation:
Given the coordinates of A(3, 6), B(5, 2), and C(9, 4), which coordinates for D make ABCD a square?
Answer:
(7,8)
Step-by-step explanation:
The point D is (7, 8) for which the given coordinates of A(3, 6), B(5, 2), and C(9, 4), make a square.
What is a square?It is defined as a two-dimensional geometry that has four sides and four vertices. The sides of the square are equal in length. It is a regular quadrilateral.
Line AB and CD are parallel to each other.
Line AB:
(y- 6) = -2(x-3)
y - 6 = -2x+6
2x+y = 12
Line CD:
2x + y = d
Plug (9,4)
18+4 = d
d = 22
2x + y = 22 ...(1)
Line BC:
(y - 2) = 1/2(x-5)
2y -4 = x-5
-x + 2y = -1
x - 2y = 1
Line AD:
x - 2y = e
3 - 12 = e
e = -9
x-2y = -9 ...(2)
The intersection point of (1) and (2)
x = 7 and y = 8
Thus, the point D is (7, 8) for which the given coordinates of A(3, 6), B(5, 2), and C(9, 4), make a square.
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I need help with this pls I out 30 points
Answer:
Step-by-step explanation:
Age: Frequency:
50-54 2
55-59 5
60-64 3
65-69 3
A rectangular prism is 12 feet long, 8 feet wide and 11 feet tall. What is the
surface area? *
192
440
632
O
1056
Answer:
632 square feet
Step-by-step explanation:
Surface area of the prism = 2(lw+wh+lh)
L is the length = 12feet
w is the width = 8feet
h is the height = 11feet
Substitute
S = 2(12*8 + 12*11 + 8*11)
S = 2(96+132+88)
S = 2(316)
S = 632 square feet
Hence the surface are of the prism is 632 square feet
Is (0, 0) a solution to the equation y = 9x?
(0, 0) is a solution to the equation y = 9x
Given the equation y = 9x, we are to determine whether (0, 0) is a solution to the equation
To do that, we will substitute x = 0 into the expression and determine if the value of y is 0.
If x = 0
y = 9x
y = 9(0)
y = 0
Since the resulting value of y is zero, hence (0, 0) is a solution to the equation y = 9x
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please help no links thank u :)
Answer:
question wdym by links?
Step-by-step explanation:
I’ll give brainliest! Help please!!!!
I’m about to spam questions if you can answer them please do .
Answer:
id say anything between 15 to 30 i dont have the stuff i need to answer this 100% accurately
Step-by-step explanation:
Answer:
50
Step-by-step explanation:
90 plus 40 ,then you subtract it from 180
Find the length of the third side. If necessary, round to the nearest
tenth.
12
14
Answer:
7.2
Step-by-step explanation:
a^2 + b^2 = c^2
a^2 +12^2 = 14^2
a^2 = 14^2 - 12^2
a^2 = 196 - 144
a^2 = 52
a = square root of 52 = 7.2
That the wrong answer
Answer:
what's your question?
Step-by-step explanation:
PLS HELP THIS IS FOR A GRADE AN IS TIMED
Answer: 392
Step-by-step explanation:
in a school the number of girls exceeds the number of boys by 15% find the ratio number of boys to number of girls
Answer:
20:3
Step-by-step explanation:
no.of boys /no.of girls =20:3
Caleb made a scale drawing of a theater. He used the scale 7 inches = 10 feet. What is the scale factor of the drawing?
Answer:
10 feet = 120 inches
120 / 7 = 17.1428571429
So, the scale is 17.1428571429 to 1.
Step-by-step explanation:
please can u give me this answer ☹️
Answer:
the second one
Step-by-step explanation:
Hello There!
The area of a triangle can be found using this formula
[tex]A = \frac{1}{2} (a+b)h[/tex]
where a and b = bases and h = height
The trapezoid shown has the following dimensions
top base = 9cm
bottom base = 14 cm
height = 12 cm
slant height = 13 cm
using this information, we plug in the values into the formula
So [tex]A = \frac{1}{2} (9+14)12[/tex]
the equation we created matches the 2nd equation therefore the second one is your answer
Anyone know how to do this?
Answer:
??
Step-by-step explanation:
IM RUNNING OUT OF TIME SO PLss ANYONEEE
Answer:
x= -2
Step-by-step explanation:
If the slope is zero, that means the line is horizontal.
Answer: y=7
Step-by-step explanation:
8 ( x + 4) = 62. 4. x = _____
Answer: 0.05
Step-by-step explanation: Ur welcome
Step-by-step explanation:
8×x+8×4=62.4.x=_
8x+32=62.4.x=_
8x=62.4-32
8x=30.4
x=30.4:8
x=3.8
Solve this equation.
Answer:
1,220,703,125
Step-by-step explanation:
Honestly don't know how to explain this in any other way than just saying put it in a calculator. Sorry. :p
Answer:
1,220,703,125
Step-by-step explanation:
5^2=25
25^4=390,625
5^5=3,125
390,625 x 3,125= 1,220,703,125
Brad had a small gathering at a local steakhouse. The steakhouse offers three dinner platters which vary by size and price. They ordered 4 of the 6-ounce platters, 3 of the 8-ounce platters, and 3 of the 11-ounce platters. Steak Platter Prices
• 6-ounce $9.95
• 8-ounce $12.95
• 11-ounce $15.95
If a gratuity of 16% was added to the bill, which of the following is closest to the total of the steak platters and gratuity, ignoring sales tax?
Answer:
Ok if you get this worng im so sorry but I got $6.21
Step-by-step explanation: