Answer:
3
Step-by-step explanation:
Find the slope of the line passing through the points (3, 4) and (8, -3).
Answer: -7/5
Step-by-step explanation:
•50 POINTS HELP• guessers will be reported.
If P=(4,7), Find: D2 (p)
The answer is distance from P to l. is equal to square root of 2
Find the distance from P to l ?Line I contains points (0, -3) and (7,4). Point P has coordinates (4,3)
Find the slope of line l we have the points (0, -3) and (7,4)
m=(4+3)/(7-0) m=7/7 m=1
Find the equation of the line perpendicular to the line l that passes through the point P
Remember that
If two lines are perpendicular, then the product of their slopes is equal to -1, the slope of the perpendicular line is
m=-1 .Find the equation in point slope form
y-y1=m(x-x1)
(x1,y1)=P(4,3)
substitute
y-3=-1(x-4)
y-3=-x+4
y=-x+7
m=1 (see the step 1)
and we have the point (0,-3) -----> y-intercept
so the equation of the line l is
y=x-3
Find the intersection point line l and its perpendicular line
y=x-3 ------> equation A
y=-x+7 -----> equation B
solve the system of equations
Adds equation A and equation B
2y=-3+7
2y=4
y=2
substitute in equation A
2=x-3 x=2+3 x=5
the intersection point is (5,2)
Find the distance between point (5,2) and point P(4,3)
Remember that, this distance is the distance from P to l.
the formula to calculate the distance between two points is equal to
we have
(x1,y1)=(5,2)
(x2,y2)=(4,3)
substitute in the formula
therefore
The answer is distance from P to l. is equal to square root of 2
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Help answer this pls if really appreciate it!! Also if you could explain a little I’d appreciate it extra since I’m a little lost. Thank you!!!
According to the question the angle between right angle triangle hence the M∠1 = [tex]90^{0}[/tex] .
What does a triangle's right angle look like?90 degrees or a straight angle is always one angle. The hypotenuse is the side that has an angle of 90° on it. Always, the hypotenuse is the longest side. The remaining two inner angles add up to a total of 90°.
Which three angles make up a right triangle?Right triangles are triangles with one of the internal angles at a right angle of 90 degrees. Since a triangle's three interior angles sum up to 180 degrees, a right triangle's three interior angles must always add up to 90 degrees since one of them is always 90 degrees (they are complementary).
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What is the following sum?
Answer:
The 4th one
Step-by-step explanation:
Right on edge!
let there be 800 people at school. prove that 3 of them do share a birthday. how can we prove it according to the pigeonhole principle?
A movie studio keeps 240 dresses in its wardrobe for historical films. Three-fifths of them can be used for movies that take place in the 1700s and 15% of them can be used for movies in the civil war era. A. What percent of the dresses are for films set in the 1700s? B. What percent of the dresses are for films not set in the 1700s? Explain how you found your answer. C. What percent of the dresses are for films set in the 1700s or during the civil war era? Explain how you found your answer. D. What percent of the dresses are not for films set during the civil war era? Explain how you found your answer.
A) The dresses for films set in the 1700s would be 60%.
B) The percentage of dresses that are not for films set in the 1700s is 40%.
C) The percentage of dresses that can be used for films set in the 1700s or during the civil war era is 75%.
D) The percentage of dresses that are not for films set during the civil war era is 85%.
What is a percentage?
The percentage is a way of expressing a number as a fraction of 100. It is often denoted using the symbol "%". It is used to express a proportion of a number out of 100. It is useful in many applications such as finance, statistics, and other fields.
A. Three-fifths of the dresses can be used for movies that take place in the 1700s, which is 3/5 * 100 = 60%.
B. The percent of the dresses that are not for films set in the 1700s is 100% - 60% = 40%. This is found by subtracting the percentage of dresses that are used for 1700s movies from 100%.
C. The percent of the dresses that can be used for films set in the 1700s or during the civil war era is 60% + 15% = 75%. This is found by adding the percentage of dresses that can be used for 1700s movies and the percentage of dresses that can be used for civil war era movies.
D. The percent of the dresses that are not for films set during the civil war era is 100% - 15% = 85%. This is found by subtracting the percentage of dresses that are used for civil war era movies from 100%.
Hence,
A) The dresses for films set in the 1700s would be 60%.
B) The percentage of dresses that are not for films set in the 1700s is 40%.
C) The percentage of dresses that can be used for films set in the 1700s or during the civil war era is 75%.
D) The percentage of dresses that are not for films set during the civil war era is 85%.
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Latisha plans to purchase her school pictures. The prints cost $108 plus any add-ons she wants to purchase. If she saves $18 per week, which solution represents how many weeks, w, it will take Latisha before she can purchase her school pictures?
The number of weeks w is given by the equation w = 6 weeks
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Let the number of weeks be represented as w
The prints cost $108 plus any add-ons she wants to purchase
The amount saved by Latisha per week = $ 18
So , the total amount saved by Latisha for w weeks = 18w
Now , the equation will be
18w = 108 be equation (1)
On simplifying the equation , we get
Divide both sides of the equation by 18 , we get
w = 108 / 18
w = 6 weeks
Therefore , the value of w is 6
Hence , the number of weeks is 6 weeks
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Read the scenarios and decide which type of interaction (absorption or transmission) took place between the wave
and the object.
People are able to hear footsteps because the sound made by a foot hitting the floor travels through the air to reach
their ears.
When light from the sun hits the sidewalk, the sidewalk becomes warmer.
Answer:
transmission absorption
Step-by-step explanation:
This is because the sound of the foot striking the floor is being transmitted through the air. The sun's light is absorbed when it strikes the sidewalk.
What is absorption and transmission?
Absorption is the process or action by which one thing absorbs or is absorbed by another.
The act of sending something, such as a cold or a message, or the component of a machine that transfers power from the engine to the moving parts is known as transmission.
Which process is represented by the given statements?Because of the air pressure, people can hear when their foot strikes the ground. In a similar manner, when sunlight strikes a sidewalk, it warms up as a result of absorbing the heat.
Therefore, the first statement is transmission and second statement is absorption.
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How many rectangular faces are in a right triangular prism?
Answer: A right triangular prism is a 3-dimensional geometric shape that has a triangular base and three rectangular faces that connect the base to the top. A rectangular prism has three pairs of rectangular faces that are congruent, these faces are perpendicular to each other and connected by edges.
So, in a right triangular prism there are 3 rectangular faces which are the lateral faces (the one that connects the base and the top)
A triangular prism also has 3 triangular faces which are the base faces
So in total, a right triangular prism has 3 rectangular faces and 3 triangular faces.
Step-by-step explanation:
A square photograph is printed on a larger rectangular sheet of paper leaving a border around the
photograph of 2 centimeters on the top and 3 centimeters on each of the remaining sides. The sheet of paper
has an area of 72 square centimeters. If x is the length of a side of the photograph measured in centimeters,
which of the following equations could be used to find x ?
The area of a shape is the amount of space, the shape can occupy. The equation to calculate the value of x is: [tex](e)\ x^2 + 11x -42= 0[/tex]
The space on the border is given as:
[tex]Top = 2[/tex]
[tex]Others = 3[/tex]
So, the dimension of the sheet of paper is:
[tex]Length = x + 2 + 3[/tex]
[tex]Length = x + 5[/tex]
[tex]Width = x + 3 + 3[/tex]
[tex]Width = x + 6[/tex]
The area of the sheet is then calculated as follows:
[tex]Area= Length \times Width[/tex]
[tex]Area= (x + 5) \times (x + 6)[/tex]
Open brackets
[tex]Area= x^2 + 5x + 6x + 30[/tex]
[tex]Area= x^2 + 11x + 30[/tex]
From the question, we understand that the area of the sheet is [tex]72cm^2[/tex]
So, the equation becomes
[tex]x^2 + 11x + 30 = 72[/tex]
Subtract 72 from both sides
[tex]x^2 + 11x + 30 -72= 0[/tex]
[tex]x^2 + 11x -42= 0[/tex]
Hence,
[tex](e)\ x^2 + 11x -42= 0[/tex] can be used to calculate the value of x
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In this figure please see attached
Answer:
Step-by-step explanation:
Formula
t = 1.06 * p
Givens
p = 8.5
Solution
t = 1.06 * 8.5
t = 9.01
PLEASE HELP 30 POINTS
An astronaut was exploring the moon of a distant planet, and found some glowing goo at the bottom of a very deep crater. She brought a 10-gram sample of the goo to her laboratory. She found that when the goo was exposed to light, the total amount of goo increased by 100% every hour.
How much goo will she have after 1 hour? After 2 hours? After 3 hours? After n hours?
When she put the goo in the dark, it shrank by 75% every hour. How many hours will it take for the goo that was exposed to light for n hours to return to the original size?
The amounts of goo after each hour are given as follows:
1 hour: 20 grams.2 hours: 40 grams.3 hours: 80 grams.n hours: 10(2)^n.The time that it takes for the goo to return to original size is given as follows:
n hours, for which:
[tex](2)^n(0.25)^n = 1[/tex]
How to model the situation?An increasing exponential function is defined as follows:
y = a(1 + r)^x.
For which the parameters are given as follows:
a is the initial value.r is the growth rate, as a decimal.Her sample is of 10 grams, and the amopunt of goo increases by 100%, hence the parameter values' are given as follows:
a = 10, r = 1.
Thus the exponential function is defined as follows:
y = 10(2)^n.
Then the amounts are given as follows:
One hour: y = 10 x 2 = 20 grams.Two hours: y = 10 x 2² = 40 grams.Three hours: y = 10 x 2³ = 80 grams.A decreasing exponential function is given as follows:
y = a(1 - r)^x.
The goo shrinks by 75% every hour, hence:
r = 0.75.
The amount after n hours is of 10(2)^n, hence the shrinking function is given as follows:
[tex]y = 10(2)^n(0.25)^n[/tex]
It returns to the original amount when:
y = 10.
Hence:
[tex]10 = 10(2)^n(0.25)^n[/tex]
[tex](2)^n(0.25)^n = 1[/tex]
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PLEASE DON'T GUESS! I NEED THE CORRECT ANSWER!!!! THIS IS A TEST!!!!
Answer:
Option D "The graph on the left is..."
Step-by-step explanation:
because there's no graph that ever starts on 81 lol
Given that a function, g, has a domain of -20 ≤ x ≤ 5 and a range of -5 ≤ g(x) ≤ 45 and that g(0) = -2 and g(-9) = 6, select the statement that could be true for g. A. g(0) = 2 B. g(-4) = -11 C. g(7) = -1 D. g(-13) = 20
A function, g, has a domain of -20 ≤ x ≤ 5 and a range of -5 ≤ g(x) ≤ 45 and that g(0) = -2 and g(-9) = 6 then g(-13) = 20
What is a function?A relation is a function if it has only One y-value for each x-value.
Given a a function, g, has a domain of -20 ≤ x ≤ 5 and a range of -5 ≤ g(x) ≤ 45
and that g(0) = -2 and g(-9) = 6,
x=-20 then g(-20)=-5
x=-19 then g(-19)=-4
x=-18 then g(-18)=-3
x=-17 then g(-17)=-2
x=-16 then g(-16)=-1
x=-15 then g(-15)=0
x=0 then g(0)=-2
x=-9 then g(-9)=6
By observing this we can say that as x values are decreasing the function values are increasing and vice versa
So option D is correct
Hence, a function, g, has a domain of -20 ≤ x ≤ 5 and a range of -5 ≤ g(x) ≤ 45 and that g(0) = -2 and g(-9) = 6 then g(-13) = 20
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DO NOT ANSWER IF YOU DO NOT KNOW THE ANSWER!! Whoever answers correctly will get Brainliest! :)
Answer:
C
Step-by-step explanation:
The sum of the angles is 90
2x + x = 90
3x = 90
x = 30
the angle ABC is 2x, so it means that is the double of x, so it is 60 degrees
Which expressions are solutions to the equation 3/4 x = 15?
a
15/3/4
b
15/4/3
С
4/3.15
d
3/4.15
e
15-3/4
hi
There a bag containing 10 red, 10 blue, and 10 yellow pieces of paper. Each paper color is numbered from to 10. How would you express the probability that you select a blue piece of paper given that it has a number 10 on it? 10) Pblue ) P(10)
Answer:
D. P(10|blue)
Step-by-step explanation:
Answer:
P(blue|10)
Step-by-step explanation:
Let A = "number is 10" and let B = "blue paper."
3. Kyle has a notebook for each of his 13 classes. He puts 5 stickers on
each notebook. There are 10 stickers on each sheet. How many
sheets of stickers will Kyle need? Write an equation to solve. Use a
variable for the unknown.
The number of sheets of stickers that Kyle needs will be 7 sheets.
How to explain the equation?The equation simply has to do with the statement that illustrates the variables given. In this case, it is vital to note that two or more components are considered in order to be able to describe the scenario.
From the information, Kyle has a notebook for each of his 13 classes. He puts 5 stickers on
each notebook and there are 10 stickers on each sheet.
The number of sheets of stickers that Kyle needs will be:
= (13 × 5) / 10
= 65 / 10.
= 6.5
= 7 approximately
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Can someone please help me with number 9.
9614 1404 393
Answer:
31.5 ft
Step-by-step explanation:
The length of the arc is the product of the radius of the circle, 11 ft, and the angle measure in radians. Arc PS has radian measure ...
(180° -16°)/180°×π = 41π/45
So, the length of arc PS is ...
s = rθ
s = (11 ft)(41π/45) = 451π/45 ft
s ≈ 31.5 ft
Help me
Like just draw on it
Answer:
Step-by-step explanation:
can anyone help me out here? I will pay you 20 points
Answer:
The ordered pair that makes an equation true is called a solution
a)solution
b) not a solution
c) solution
d) solution
e)not a solution
f) not a solution
g) solution
h) not a solution
Step-by-step explanation:
The first number in an ordered pair is x, the second one is y
Plug in the numbers to x and y respectively
I'll give two examples so you know how to solve it
a) y=3x+1
-5=3(-2)+1
make sure you use pemdas (multiply first)
-5=-6+1
add
-5=-5
this is true (meaning it is a solution)
b) 6=3(-3) +1
6=-9+1
6 = -8
this is NOT true (not a solution)
If you have any questions feel free to ask
Peter works in the Spring Roll restaurant. He earns $15.50 per hour plus tips of 15% of food sales. If Peter works 35 hours this week and has $4000 of food sales, how much does he earn in total?
Base salary =
Tips =
Total earnings =
16^x^2
= 8⁰
I’ll put a picture of it so you can better understand it. Also I’ll give you 30 points, so one of you better answer by 10:00 tomorrow.
Answer:
x=0
Step-by-step explanation:
[tex]16^{x^2}=8^0\\\\16^{x^2}=1\\\\x^2\ln(16)=0\\\\x^2=0\\\\x=0[/tex]
Please help me, I need help asap !! I can’t figure it out
Cual es la amplitud de estos conjuntos de datos 12,16,48,64,36,48,12,32,y 48
Help real answers only
draw a small table with x and y
whenever x is 1 y becomes 14
using y=mx + c
y= 12(1) + 2
12×1=12
12+2=14
therefore x is 1
The total cost (t) after 8% sales tax is added to an item's price (p): 1.08p= t
The total cost of the item after the sales tax of 8 % is given by the equation t = 1.08p , where p is the initial price of the item
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the total cost price of the item be represented as t
Let the initial cost price of the item be represented as p
Now , the sales tax percentage = 8 %
So , the equation will be
The total cost price of the item t = sales tax percentage ( initial cost price of the item ) + initial cost price of the item
Substituting the values in the equation , we get
The total cost price of the item t = 8 % ( p ) + p
On simplifying the equation , we get
The total cost price of the item t = ( 8/100 ) p + p
The total cost price of the item t = 0.08p + p
The total cost price of the item t = 1.08p
Hence , the equation is t = 1.08p , where p is the initial price of the item
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Two triangular faces of a rectangular pyramid each have an area of 7.8cm^2 and the other two faces each have an area of 16.5cm^2. If area of the base is 60cm^2, what is the total surface area of the pyramid
Answer:108.6
Step-by-step explanation:
Find x.
Round to the nearest tenth.
7cm
7cm
10 cm
x = [? ]cm
Answer:
x = 4.9
Step-by-step explanation:
We can use the intersecting chords formula:
(segment piece) x (segment piece) = (segment piece) x (segment piece)
7*7 = 10x
49 = 10x
Divide each side by 10
49/10=10x/10
4.9 = x
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