The equation of the line is the vertical line x = 3.
The gradient of the lineThe gradient of the line between two points (x₁, y₁) and (x₂, y₂) is m = (y₂ - y₁)/(x₂ - x₁).
Since the line passes through the points (3,-3) and (3,8),
(x₁, y₁) = (3,-3) and (x₂, y₂) = (3,8).So, substituting the values of the variables into the equation, we have
m = (y₂ - y₁)/(x₂ - x₁).
m = (8 - (-3))/(3 - 3).
m = (8 + 3)/0
m = 11/0
m = +∞
Equation of the line in point-slope form
The equation of the line passing through the point (x₁, y₁) in point-slope form is given by
y - y₁ = m(x - x₁) where
m = gradient = +∞ and (x₁, y₁) = (3, -3)So, substituting the values of the variables into the equation, we have
y - y₁ = m(x - x₁)
y - (-3) = +∞(x - 3)
y + 3 = +∞(x - 3)
y + 3/+∞ = (x - 3)
0 = x - 3
x = 3
So, the equation of the line is the vertical line x = 3.
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NEED HELP ASAP! SOLVE THE SYSTEMS OF EQUATIONS AND SHOW YOUR WORK *
can you help me on this question?
Answer:
0? and 14?
Step-by-step explanation:
thats what I see im so sorry if im wrong
A vase has the shape obtained by revolving the curve y=2+sinx from x=0 to x=5 about the x-axis, where x and y are measured in inches. What is the volume, in cubic inches, of the vase? A. 10.716 B. 25.501 C. 33.666 D. 71.113 E. 80.115
The volume of the vase obtained by revolving the curve y=2+sinx from x=0 to x=5 about the x-axis is 80.115 unit³
What is volume?
Volume is the amount of space occupied by a three dimensional shape or object.
The volume V is given by:
[tex]V=\pi \int\limits^0_5 {(R^2-r^2)} \, dx \\\\R = 2+sinx;r=0, hence:\\\\V=\pi \int\limits^0_5 {(2+sinx)^2} \, dx\\\\V=80.115\ unit^3[/tex]
The volume of the vase obtained by revolving the curve y=2+sinx from x=0 to x=5 about the x-axis is 80.115 unit³
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mixo uses 250 ml of flour to make 10 pancakes. increase the quantity of flour so that she can make 25 pancakes.
a store is charged $5.50 each for calculators and a delivery of $25 for the order. If stores sells the calculators for $8 each, how many calculators must be sold to produce a profit of at least $80?
Answer:
a store is charged $5.50 each for calculators and a delivery of $25 for the order. If stores sells the calculators for $8 each, how many calculators must be sold to produce a profit of at least $80?
Step-by-step explanation:
Cost minus the charge which is 8 dollars minus 5.50 is the difference in which you divide 80 by it. 8-5.50= 2.5. 80 divided by 25 = 32. Hope this is the answer you're looking for.
4. A deposit of $4000 is made into a savings account that pays 2. 48% annual interest rate compounded quarterly.
A = P(1 + 3)"
A - amount in account
P = principal invested
r = annual interest rate
n = number of times per year that interest is compounded
t = number of year
How much money will be in the account after three years?
The total amount accrued, principal plus interest, with compound interest on a principal of $4,000.00 at a rate of 2.48% per year compounded 4 times per year over 1 years is $4,100.13.
Compound interest CalculationGiven Data
Principal p= $4000Rate r = 2.48%Time = 1 yearA = P + I where
P (principal) = $4,000.00
I (interest) = $100.13
Calculation Steps:
First, convert R as a percent to r as a decimal
r = R/100
r = 2.48/100
r = 0.0248 rate per year,
Then solve the equation for A
A = P(1 + r/n)^nt
A = 4,000.00(1 + 0.0248/4)^(4)(1)
A = 4,000.00(1 + 0.0062)^(4)
A = $4,100.13
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Identify the slope and point of the equation y-2=-4(x+3)
m= ,point( )
Answer:
m = -4
point = (-3,2)
Step-by-step explanation:
this is point slope form. y-y1=m (x-x1)
you can find the points from this and the slope. point = (x1,y1)
Evaluate.
5⋅4^0
1. 0
2. 4
3. 5
Or 4. 20
Brainliest given to correct answer.
Perimeter of a right triangle : 3 units , 5 units, 4 units
Surfaces of a three-dimensional figure
5ft, 7 ft, 3 ft
Volume of a three-dimensional figure
4m , 10 m , 3 m
Refer to picture below:
Answer/Step-by-step explanation:
Perimeter of a right triangle : 3 units , 5 units, 4 units
Perimeter = 3 + 4 + 5 = 12
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Surfaces of a three-dimensional figure: 5ft, 7 ft, 3 ft
Surfaces area: 2(7*3)+2(7*5)+2(3*5)
= 142 square feet
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Volume of a three-dimensional figure: 4m , 10 m , 3 m
Volume = 10 * 4 * 3 = 120 cubic meter
~Lenvy~
Answer:
Step-by-step explanation:
Perimeter of a triangle = sum of 3 sides
= 3 + 4 + 5
= 12 units
Surfaces of a three-dimensional figure = sum of 3 pairs of surfaces
= 5*7*2 + 7*3*2 + 3*5*2
= 70 + 42 + 30
= 142 square fts
Volume of a three-dimensional figure = length*width*height
= 4*10*3
= 120 m^3
Find the perimeter of the figure below, in feet
(Note: Diagram is NOT to scale)
Answer:
56.6 ft
Step-by-step explanation:
→ Perimeter = All sides added together
5.2 + 5.2 + 7.7 + 7.7 + 7.7 + 7.7 + 7.7 + 7.7 = 56.6
Answer:
56.6
Step-by-step explanation:
Perimeter is just adding all the outer value of an shape
So we add all the answers
5.2 + 5.2 + 7.7 + 7.7 + 7.7 + 7.7 + 7.7 + 7.7 = 56.6
but there is easier way
5.2 x 2 = 10.4
7.7 x 6 = 46.2
10.4 + 46.2 = 56.6
at the end don't forget to add "ft"
Answer = 56.6 ft
Hope you understand
:-)
someone help with this please
zoe watched 6 episodes of her favorite online video series in 1.5 hours . She spent the same time watching each episode . What is the unit rate of hours to episodes?
Answer:
15 min
Step-by-step explanation:
6 episodes in 1.5 hrs.
1 episode in 1.5/6 hr.
i.e. 1.5*60/6 min
=15 min
How many square roots does the number 20 have 0 1 or 2
Answer:
Every positive real number has TWO square roots; One is positive and one is negative. They are opposites of each other.
Step-by-step explanation:
So the number 20 has 2
Complete the function for this graph.
Answer:
-4
Step-by-step explanation:
The function for this graph is :
y = | x | + (-4)
It intersects the y-axis at (0, -4)
[tex]\\ \rm\Rrightarrow y=|x-h|+v[/tex]
[tex]\\ \rm\Rrightarrow y=|x-0|+(-4)[/tex]
[tex]\\ \rm\Rrightarrow y=|x|-4[/tex]
helo guys i need help with this question
Carlos and his friends are going to out to bowl, eat dinner, and see a movie. The starts at 8:10 p.M. And they want to arrive 20 minutes before it starts. They will bowl for one hour and dinner will take 1 hour and 15 minutes. Travel time is 20 minutes to the bowling alley, 45 minutes ta the restaurant, and ten minutes to the theater. At what time should they plan to leave Carlo's house?
Answer:
They should leave Carlo's house by 4:20 PM
Step-by-step explanation:
The movie starts at 8:10 pm, they want to arrive 20 minutes before the movie starts
20 minutes before 8:10 pm = 7:50 pm.
Hence, they should arrive by 7:50 pm
Duration of their activities before the movie is calculated as:
They will bowl for one hour and dinner will take 1 hour and 15 minutes. Travel time is 20 minutes to the bowling alley, 45 minutes ta the restaurant, and ten minutes to the theater.
: 1 hour + 1 hour 15 minutes + 20 minutes + 45 minutes + 10 minutes
= 2 hour 15 minutes + 75 minutes
= 2 hour 15 minutes +1 hour 15 minutes
= 3 hours 30 minutes in total.
The time they are meant to leave is calculated as:
7:50 pm - 3 hours 30 minutes
= 4:20pm
A river is rising at a rate of 3 inches per hour. If the river rises more than 24 inches, it will exceed flood stage. How long can the river rise at this rate without exceeding flood stage? Use the Math Quill tool to type the inequality that would be used to solve this problem. DO NOT SOLVE. I dont need the answer i just need the starting equation
Answer:
7 r 3
Step-by-step explanation:
Answer:
3r 'lesser than or equal to sign' 24
Step-by-step explanation:
Solve for x in the circle below. Show your work, equations, and mark your answer.
Answer:
x = -8
Step-by-step explanation:
The sum of arcs of a semicircle is 180°. That means the arc whose measure is -11x+12 has a measure of 180° -80° = 100°.
-11x +12 = 100
-11x = 88 . . . . . . subtract 12
x = -8 . . . . . . . divide by -11
In the above figure, m∠A = 30° and m∠B = (2x + 10)°. If angles A and B are complementary angles, what are the value of x and the measure of angle B?
A.
x = 55, m∠B = 60°
B.
x = 25, m∠B = 60°
C.
x = 70, m∠B = 150°
D.
x = 25, m∠B = 50°
Answer:
Step-by-step explanation:
option B
Complementary angles add up to 90°
m∠A + m∠B = 90
30 + 2x + 10 = 90
2x + 40 = 90
To find the value of x, we have to isolate x. To isolate x, first we have subtract 40 from both sides.
2x = 90 -40
2x = 50
Now, divide both sides by 2
x = 50/2
x = 25°
∠B = 2x + 10
= 2*25 + 10
= 50 + 10
∠B = 60°
Given f(x) and g(x) = k⋅f(x), use the graph to determine the value of k.
−5
-1/5
1/5
5
Answer:
k = -5Step-by-step explanation:
Given
Functions f(x) and g(x) = k⋅f(x)
1. As per the graph, f(x) is increasing but g(x) is decreasing function, so k is negative2. Function g(x) is steeper than f(x), so k = - 5Answer:
third one
Step-by-step explanation:
The radius of a circle is 12 meters. What is the circle's area
Answer:
452.16 m²
Step-by-step explanation:
Given :-
Radius = 12 m
To Find :-
Area
Formula Required :-
Area (circle) = πr²
Solving :-
Area = 3.14 x 12 x 12
= 3.14 x 144
= 452.16 m²
Solution :-
452.16 m²
Answer:
144
Step-by-step explanation:
A=πr^2
Where:
A
is the Area of the Circle: what we are solving for in this problem.
r
is the Radius of the Circle: 12 meters for this problem
Substituting and calculating
A
gives:
A=π(12)^2m^2
A=π144m^2
A= 144m^2
This circle would have an area of 144 square meters.
Which of the following set of coordinate pairs represent a function?
1. (-5, 3), (-1, 0), (3,-4), (-1,2)
2. (0,-4), (5,3), (-4,3), (3,2)
3. (1,5), (-1, 3), (3, 4), (1, 2)
4. (4, 4), (4, 3), (4, 2), (4, 1)
I'm absolutely certain that the answer is 2. (0,-4), (5,3), (-4,3), (3,2) because in a function, x does not repeat
I hope this helps, love!
So what is the answer to this x+2=7+8
Answer:
x = 13
Step-by-step explanation:
x = 7 + 8 - 2
x = 7+6 = 13
just move 2 to the other side
If a sphere with diameter d is inscribed in a cube with side length e, what is the relationship between d and e?
Answer:
d = e
Step-by-step explanation:
An inscribed sphere in a cube will have a diameter equal to the edge length of the cube:
d = e
__
The distance between the faces of the cube is the same as the edge length.
I need help, anyone please I’d appreciate it sm!!
The answer to the question is -4/5
Consider the functions: f(x) = x2 + 4x – 1 and g(x) = 2x + 5. See graphs alongside. a) Identify each curve b) Find the coordinates of points A, B,..., c) Confirm your calculations by using technology
Step-by-step explanation:
try the option shown in the attachment.
Finally,
[tex]A(-2-\sqrt{3};0);[/tex]
[tex]B(-1-\sqrt{7};3-2\sqrt{7});[/tex]
[tex]C(-2+\sqrt{3};0);[/tex]
[tex]D(-1+\sqrt{7};3+2\sqrt{7});[/tex]
[tex]E(0;5);[/tex]
[tex]F(-\frac{5}{2};0);[/tex]
[tex]G(-2;-5).[/tex]
in order to calculate the points E & F it is needed to solve the equations y=2*0+5 and 2x+5=0;
in order to calculate the vertex G it is needed to find x-coordinate:
x=(-4)/(2*1)=-2 and to substitute x=-2 into y=x²+4x-1 (y=-5).
what is distance between these two points (-1,-3) (1,3)
The volume of a rectangular prism having length 5m width 6m and height 8 m. what is the volume of the figure
Answer:
someone pls correct me if im wrong but your supposed to do L x W x H
Step-by-step explanation:
so you would do 5x6x8
not sure if that is right or not that what we did in class hope that helps =)
Answer:240
Step-by-step explanation:
5*6*8=240
Which of the following represents the fastest speed in miles per hour?
a. 8 miles in ⅙ hour b. 10 miles in ⅕ hour c. 6 miles in ⅐ hour
Answer: B 10 miles in 1/5 hour
Step-by-step explanation:
Help plz please help!!!
Step-by-step explanation:
Hey there!
3x + (4x+5)° = 180° {sum of co-interior angle 180°}
7x= 180°-5°
7x= 175°
[tex]x = \frac{175}{7} [/tex]
Therefore, X= 25°.
Hope it helps...