A line passes through the two points (-4,6) and (2,-5). 11x +6y - 80 = 0 is the given line equation.
What is the slope of a line which passes through points ( p,q) and (x,y)?Its slope would be:
[tex]m = \dfrac{y-q}{x-p}[/tex]
The slope of parallel lines are same. Slopes of perpendicular lines are negative reciprocal of each other.
The slope m of the line is given as
[tex]m = \dfrac{y-q}{x-p}\\\\ m = \dfrac{-5-6}{2+4}\\\\ m = \dfrac{-11}{6}[/tex]
The equation of a line is
[tex]( y -y_0) = m (x - x_0)\\\\( y -6) = \dfrac{-11}{6} (x+4)\\\\6( y -6) = (-11) (x+4)\\\\6y -36 = (-11x +44)\\\\11x +6y - 80 = 0[/tex]
Hence, the equation is 11x +6y - 80 = 0
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how much gift warp is needed to cover a box which measures 3 feet by 2 feet by 3 feet
Answer:
42 ft²
Step-by-step explanation:
You need the total surface area of the box which is shaped like a rectangular prism.
surface area = area of bases + lateral area
Let length = 3 ft, width = 2 ft, height = 3 ft.
The base is a rectangle 3 ft by 2 ft.
The perimeter of the base is 2(3 ft + 2 ft) = 10 ft
The lateral area is (perimeter of the base) × height = 10 ft × 3 ft = 30 ft²
The area of the two bases is 2 × (3 ft × 2 ft) = 12 ft²
The total surface area is 30 ft² + 12 ft² = 42 ft²
A bag contains 10 marbles: 2 are green, 3 are red, and 5 are blue. Reuben chooses a marble at random, and without putting it back, chooses another one at
random. What is the probability that the first marble is red and the second is blue? Write your answer as a fraction in simplest form.
Answer:
3/10 for the first and the second 5/9
A flower vase is in the shape of a cylinder and has a diameter of 5 inches and a height
of 7 inches. which equation could be used to determine the volume, in cubic inches,
of the vase?
Answer:
V = π(2.5)²(7)
Step-by-step explanation:
Given:
A flower vase is in the shape of a cylinder and has a diameter of 5 inches and a height of 7 inches.
To Find:
which equation could be used to determine the volume, in cubic inches, of the vase?
Solve:
Formula for cylinder volume: Volume = πr²h
Where,
h represents the height of the cylinder
r represents the radius of the cylinder.
π is a constant whose value is 3.14
Knowing that:
Diameter = 5 in
Height = 7 in
Radius = 2.5 {Radius is half of diameter so 5/2 = 2.5}
Thus, a equation could be use is:
V = π(2.5)²(7)
Kavinsky
2. it is the appropriate diagram to show how much
greater or less one measurement of an observation
is from the other
A line
B. pie chart
C. bar graph
Based on a sample survey, a company claims tha 80% of their customers are satisfied with their products. out of 350 customers, how many would you predict to be satisfied?
Answer:
280 customers
Step-by-step explanation:
80% of 350 is 280
State the x and y intercepts of 2x+5y=10
PLEASE
Quick! What is a Two-Sided Variable Equation with the Answer of 16! (EX: of a Two-Sided Variable (7x = −x+24))
Answer:
2x + 4 = 20 + x
Step-by-step explanation:
X = 16
X+4 = 20
2x + 4 = 20 + x
The diagram below shows a rectangle with a shaded region. What is the area, in square meters, of the shaded region in the diagram?
I really need help
Answer:
Step-by-step explanation:
Area of shaded region= area of rectangle- area of triangle
Area of rectangle= l×b
=9×3
= 27m²
Area of triangle= [tex]\frac{1}{2}[/tex] b×h
=[tex]\frac{1}{2}[/tex] ×3×3
=[tex]\frac{9}{2}[/tex] ⇒4.5
Area of shaded region= area of rectangle- area of triangle
=27-4.5
=22.5m²
Find the circumference.
Use 3.14 for π.
O
r = 6 ft
C = [?] ft
C = πd
Answer:
37.68 ft
Step-by-step explanation:
Formula
Diameter = 2r (where r is the radius)
Circumference of a circle = πd (where d is the diameter)
Given:
π = 3.14r = 6 ft⇒ Diameter = 2 × 6 = 12 ft
Substituting the given values into the formula:
⇒ C = πd
⇒ C = 3.14 × 12
⇒ C = 37.68 ft
Marcus is measuring the perimeter of his bedroom. The length of the room is 12 meters and the width of the room is 10 meters. What is the perimeter of the bedroom?
I need this answered please
Answer:
See the attachment.
Which pair of expressions has the same value?
A. (–2)(–7) and 4 + (–18)
B. (2)(7) and 4 + 18
C. (–2)(7) and 18 + (–4)
D. (2)(–7) and 4 – 18
Assuming that (-2)(-7) and 4 + (-18) are equal.
⇒ (-2)(-7) = 4 + (-18)Using the property [-x × -y = x × y = xy]:
⇒ (-2)(-7) = 4 + (-18) ⇒ (2)(7) = 4 + (-18)Using the property [x + (-a) = x - a]:
⇒ (2)(7) = 4 + (-18)⇒ (2)(7) = 4 - 18⇒ 14 = -14 (False)Option B)Assuming that (2)(7) and 4 + 18 are equal.
⇒ (2)(7) = 4 + 18⇒ 14 = 22 (False)Option C)
Assuming that (–2)(7) and 18 + (–4) are equal.
⇒ (-2)(7) = 18 + (-4)Using the property [-x × y = -xy]:
⇒ (-2)(7) = 18 + (-4)⇒ (-)(2)(7) = 18 + (-4)⇒ -14 = 18 + (-4)Using the property [x + (-a) = x - a]:
⇒ -14 = 18 + (-4)⇒ -14 = 18 - 4⇒ -14 = 14 (False)Option D)
Assuming that (2)(-7) and 4 - 18 are equal.
⇒ (2)(-7) = 4 - 18Using the property [-x × y = -xy]:
⇒ (-)(2)(7) = 4 - 18⇒ -14 = 4 - 18⇒ -14 = -14 (True)Therefore, Option D is correct.
A circle has a radius of 9 cm. What is its circumference?
Use 3.14 for n, and do not round your answer. Be sure to include the correct unit in your answer.
0
9 cm
Answer:
56.52 cm
Step-by-step explanation:
Concepts
The circumference of a circle is the distance around it, or the perimeter of the circle. The formula to find the circumference is 2πr, where r = radius.
Application
We're given the radius as 9 cm, and we have to find the circumference of the circle using π as 3.14. Let's use the formula 2πr to solve for this.
Solution
[tex](2)(3.14)(9)[/tex] [tex](6.28)(9)[/tex][tex]56.52[/tex]See your levels
A maple tree is 6 meters tall. Its shadow is 8 meters long. Close by, there is a streetlamp
that is 9 meters tall. How long is the streetlamp's shadow?
Write your answer as a whole number or a decimal. Do not round.
meters
Answer:
12 meters
Step-by-step explanation:
The assumption regarding shadow lengths is that they are proportional to height at any given place and time.
__
Here, the streetlamp is 9/6 = 3/2 times as tall as the tree, so we expect its shadow to be 3/2 times the length of the tree's shadow.
(3/2)(8 m) = 12 m
The streetlamp's shadow is 12 meters long.
help me please please
Answer:
(x - 2)² + (y +8)² = 4Step-by-step explanation:
Equation of circle:[tex]\sf\boxed{(x-h)^2+(x-k)^2=r^2}[/tex]
Here, h , k are the co ordinates of the center and r is the radius
[tex]\sf (x - 2)^2 + (y-[-8])^2 = 2^2\\\\(x - 2)^2 + (y + 8)^2= 4[/tex]
Write three value that makes 3 > x true How do you know?
Answer:
3>2
3>1
3>0
is that what u wanted?
if so, ur welcome :)
brainliest please?
Mabel measured an angle on her math worksheet with her protractor. The angle measured 163°. If she were to draw an angle which was supplementary to the angle on her worksheet, what should that new angle measure?
Two supplementary angles equal 180 degrees when added together.
180 - 163 = 17
the other angle would be 17 degrees
Find the value of x.
390
107°
to
Answ.er:
x=146°
Step-by-step explanation:
the Exterior angle theorem states the exterior angle is equal to the sum of angle 1 and angle 2.
So add 107 and 39 to get 146.
Find an equation of the line with the given slope that passes through the given point Write the equation in the form Ax + By = C
m= -8 (-6-4)
(Simplify your answer Use integers or fractions for any numbers in the equation )
Answer:
[tex]8x + y = - 52[/tex]
Step-by-step explanation:
m= -8
p (-6,-4)
Formula for equation of a logbook passing through to points:
[tex]y - y1 = m(x - x1)[/tex]where y1= -4 and x1= -6[tex]y - ( - 4) = - 8(x - ( - 6)) \\ y + 4 = - 8(x + 6) \\ y + 4 = - 8x - 48 \\ 8x + y = - 52[/tex]HELPP PLEASEEE ASAP!!!
Answer:
well the odds would be 2:3 because 1 3 5 and 7 are prime numbers so the pin might just land on one of them
Step-by-step explanation:
Which of these intersections of a plane and a three dimensional figure result in a triangular cross section
Answer:
top right one
Step-by-step explanation:
Top left one makes a square
bottom left one makes a circle
top right one makes a triangle
bottom right one makes a circle
The intersection of a plane and a three-dimensional figure results in a triangular cross-section is a triangular pyramid.
What is a cross-section?A solid's cross-section is a plane figure formed when the solid intersects another plane. As a result, the cross-section of an object is an infinitesimal "slice" of a solid, and it can vary depending on how the slicing plane is oriented. A sphere's cross-section is always a disk, although a cube's cross-section can be square, hexagonal, or another shape.
In these types of three-dimensional geometrical problems imagination of the figures is very crucial.
Now, Think of the plane as a very very thin sheet cutting a triangular pyramid parallel to its base will have exactly the same cross-section as its base and we know a triangular pyramid has a triangular base.
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If X y = 2 then Y² + **
Answer:
Answer is in the picture
( It would be absolutely kind of you to give me a "brainliest answer")
Goodluck
What is the difference between averages of pizza sales from week 2 and week 1 at Cheezy Pizza?
1.5 pizzas
3.3 pizzas
2.3 pizzas
5 pizzas
HELP DUE AT 11:59!!!
Answer:
8x-9
Step-by-step explanation:
You have to combine like terms in order to simplify this problem.
The like terms you have are 5x, and 3x. If you add 5x+3x, you get 8x.
Now, you do nothing with the 9 because there is nothing to combine it with. For example, if your problem was 5x+3x-9+10, you combine 5x and 3x to get 8x, but now with the 9, you keep the subtraction symbol so it is 10-9, (think of it as -9), and when you finish that, you get 1. Now there are no more symbols so you add, 8x+1.
Answer:
8×-9
Step-by-step explanation:
You have to combine like terms in order to simplify this problem.
The like terms you have are 5x, and 3x. If you add 5x+3x, you get 8x.
Now, you do nothing with the 9 because there is nothing to combine it with. For example, if your problem was 5x+3x-9+10, you combine 5x and 3x to get 8x, but now with the 9, you keep the subtraction symbol so it is 10-9, (think of it as -9), and when you finish that, you get 1. Now there are no more symbols so you add, 8x+1.
HOPE IT HELPS.
PLEASE MARK ME AS BRAINLIEST.
Randy has 24 stuff animals. 1/3 are brown. How many of the stuff animals are not brown?
Answer:
16
Step-by-step explanation:
If 1/3 are brown that means 8 animals are brown therefore 16 is how many are not brown
What is the answer for number 10
Answer:
b
Step-by-step explanation:
b just honestly looks right and its my lucky letter so yaa...
2/3 to the power of -3
Answer:
The answer is 54.
STep right up for a brainliest challenge
Answer:
see below
Step-by-step explanation:
Kiara, as she was only over by 5.5, Wes, as he was less than by 22.7 lbs, and Natalie, as she was over only by 14.7 lbs
find the value of the missing variables. please help
x=
y=
Answer:
X= 11
Y= 22
Step-by-step explanation:
How to find Y ?
sin 60° = 11√3/ Y
√3/2 = 11√3/Y
Y= 22
How to find X ?
cos 60° = x/22
1/2 = x/22
2x = 22
x = 11
Miranda has 55 feet of fencing. She wants to use all the fencing to create a rectangular garden. The equation 2l+2w=55, where l is the length of the garden and w is the width, models the scenario. This equation can be used to find on dimension of the garden if the other dimension is known. If Miranda makes the garden 17.5 feet long, how wide should she make it? PLEASE HURRY