The equation of line passing through the points (3,-2) and (-2,3) in
(a) point slope form is y + 2 = -(x - 3) ;
(b) slope intercept form is y = -x + 1 ;
(c) standard form is x + y = 1 .
The Standard Form of equation of line is written as ⇒ " Ax + By = C " .
it is given that the line is passing through the points (3,-2) and (-2,3) ;
So , the slope(m) is = (3+2)/(-2-3) = 5/(-5) = -1 .
(a) the point slope form is (y - y₁) = m(x - x₁) ;
substituting x₁ = 3 and y₁ = -2 ;
we get ;
(y + 2) = (-1)(x - 3)
y + 2 = -(x - 3) .
(b) the slope intercept form is ⇒ y = mx + c ,
-2 = (-1)3 + c ;
-2 = -3 + c ,
c = -2 + 3 ;
c = 1 ; the equation is ⇒ y = -x + 1 .
(c) the standard form is :
arranging the equation y = -x + 1 ,
we get ;
x + y = 1 .
Therefore , the required equations of line are mentioned above .
The given question is incomplete , the complete question is
How do you write the equation of the line in point slope form , slope intercept form and standard form given that it passes through (3, -2) , (-2, 3) ?
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23. Daniel bought a gallons of paint at the store for a project. At the end of his project,
Daniel had 1 gallons of paint left. How much paint did Daniel use for his project?
A. 3. gallons
B.3 gallons
c. 2. gallons
D. 6 gallons
Answer:
Based on your responses and my understanding from what you have said the answer is B.
Step-by-step explanation:
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
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
I’ll give brainliest! Help please!!!!
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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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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That the wrong answer
Answer:
what's your question?
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
i need help with this question plsss
Answer:
180
Step-by-step explanation:
because angles on the same line sum up to 180
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:
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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PLS HELP THIS IS FOR A GRADE AN IS TIMED
Answer: 392
Step-by-step explanation:
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
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
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
Anyone know how to do this?
Answer:
??
Step-by-step explanation:
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
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:
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
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:
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
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:
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
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)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
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 :/
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
Find the volume of the given figure.
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