Answer: y=-2x+7
Step-by-step explanation:
The equation of a line
[tex]\displaystyle\\\boxed {\frac{x-x_1}{x_2-x_1}=\frac{y-y_1}{y_2-y_1} }[/tex]
(8,-9) (-4,15)
x₁=8 x₂=-4 y₁=-9 y₂=15
[tex]\displaystyle\\\frac{x-8}{-4-8} =\frac{y-(-9)}{15-(-9)} \\\\\frac{x-8}{-12}=\frac{y+9}{15+9} \\\\\frac{x-8}{-12}=\frac{y+9}{24}[/tex]
Let's multiply both parts of the equation by 24:
[tex]\displaystyle\\\frac{24(x-8)}{-12} =y+9\\\\-2(x-8) =y+9\\\\-2x+16=y+9 \\\\-2x+16-9=y+9-9\\\\-2x+7=y\\\\Thus,\\\\y=-2x+7[/tex]
Bradley and angie can mow their yard together with two lawn mowers in 30 minutes. when bradley works alone, it takes him 50 minutes. how long would it take angie to mow the lawn by herself?
Angie would take 75 minutes to mow the lawn by herself.
What is the time?Time can be defined in mathematics as an ongoing and constant sequence of events that occur in succession, from the past to the present to the future. Time is being used to quantify, measure, compare, and even sequence events.To find out how long will Angie take to mow the lawn:
Let's take Angie's time as x.
So, 30/50 + 30/x = 1Now, multiply by 50x to obtain:
30x + 1500 = 50x1500 = 20xx = 75 minutesTherefore, Angie would take 75 minutes to mow the lawn by herself.
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-1/2 x -3/5 this is what i need help with.
Answer:
3/10 or 0.3
Step-by-step explanation:
lcd of 2/3 and 3/4 ?
Answer:
The LCD of 2/3 and 3/4 is 12.
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
Least common denominator is the common denominator, which is the bottom number, that two fractions share.
[tex]2/3 = 2/3 \cdot 4/4 = 8/12\\3/4 = 3/4 \cdot 3/3 = 9/12[/tex]
➲ Hope this helps.
A_S_A_P PLS :)
I need help with Middle school math question in grade 7
So can someone show me the work you did for this :)
"Three bags of lawn seed covers 1800 ft2. How many bags are needed to cover 8400 ft2"
Answer:
14 bags
Hope this helps :)
Step-by-step explanation:
1. 1800 ÷ 3 = 600
2. 8400 ÷ 600 = 14 bags
Answer:
4
Step-by-step explanation:
1800/3 = 600
We know that every pound covers 600 square feet:
8400/600 = 14
14/4 = 3.5 (round up) so it would become 4.
I know I am late but here :)
4
The lengths of four trails are listed below.
Oak Trail
Maple Trail
Pine Trail
Spruce Trail
10.653 kilometers
10.592 kilometers
10.732 kilometers
10.484 kilometers
Which trail is closest in length to 10.5 kilometers?
A Oak Trail
C Pine Trail
B Maple Trail
D
Spruce Trail
Padma chose B. How did she get that answer?
Which numbers.
need to compared
The trail that is closest in length to 10.5 kilometers is Spruce Trail. option D
How to determine the closest trailFrom the information given, we have that;
Oak Trail = 10.653 kilometersMaple Trail = 10.592 kilometersPine Trail = 10.732 kilometersSpruce Trail = 10.484 kilometersThe closest in length would be the trail with the lowest difference;
Oak trail = 10.653 - 10. 5 = 0. 153
Maple Trail = 10.592 - 10. 5 = 0. 092
Pine Trail = 10.732 - 10. 5 = 0. 232
Spruce Trail = 10.484 - 10. 5 = -0. 016
Thus, the trail that is closest in length to 10.5 kilometers is Spruce Trail. option D
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how do you solve this
Answer:
F(x) =y
Step-by-step explanation:
He ask you what x equal when y=4 it will be 3 inshallah
Find the value of z.
X
Z
Z =
Give
your answer in simplest form
PLEASE HELP
Answer:
6 or 5
Step-by-step explanation:
The value of x is 8.366, y is 4.582 and z is 5.477.
Using Pythagoras theorem in both Triangle as
Triangle 1:
H² = P² + B²
z²= y² + 3²
z² = y² + 9
Triangle 2:
x² = y² + 7²
x² = y² + 49
and, x² = z² - 9 + 49
x² = z² + 40.............(1)
Now, In big Triangle
x² + z² = 10²
x² + z² = 100
Now, from equation (1) we get
z² + 40 + z² = 100
2z² = 60
z² = 30
z = 5.477
and, x²= 30+40 = 70
x= 8.366
and, y²= z² - 9
y² = 21
y= 4.582
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A worker in a silver mine descends 56 feet. Use an integer to represent the change in the worker's position.
Answer: 56
Step-by-step explanation: The change from the number line is 56
The Japan Trench is 9 km below sea level. The Peru-Chile Trench is 8 km below sea level. What is the difference of depths between them, and which trench is deeper?
Tthe difference of depths between them is 1 foot, and the trench which is deeper is the Japan Trench
What is the difference of depths between them, and which trench is deeper?The depths of the trenches are given as
Japan Trench = 9 km below sea level
Peru-Chile Trench = 8 km below sea level
Both trenches are below the sea level
This means that the deeper trench will have the higher absolute value
The trench with the higher absolute value is the Japan Trench
This is so because 9 is greater than 8
The difference of depths between the trenches is
Difference = 9 - 8
Evaluate
Difference = 1
Hence, the difference of depths between them is 1 foot, and the trench which is deeper is the Japan Trench
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Directions: Use what you have learned this week in class to answer the question. You should show your work or explain your reasoning in mathematical terms. Be specific. Draw a picture if you need to.
Question:
Evelyn has some paracord with a total length of 5-½ meters. She needs to cut the cord into 12 equal portions. What is the length of each piece written as a fraction? Is this value rational or irrational; why?
Work/Reasoning & Answer:
The above number divided 12 equal parts is given as 0.45833333333. In fraction, this is represented as: 45833333329/99999999990.
Hence it is right to conclude that it is an irrational number.
What is an irrational number?
An irrational number is any real number that cannot be expressed in fraction form.
Non-terminating, non-repeating decimals, such as 0.45445544455544445555..., are included. Irrational numbers are any square roots that are not perfect roots.
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This diagram is a straightedge and compass construction.
S
Select all the true statements.
A) Triangle STU is isosceles.
B) Triangle STU is equilateral.
C) Each side of triangle STU is composed of two radii that have the same
length.
D) In triangle STU, two sides are radii of circle T but the third side, segment
SU, is not a radius of any circle shown in the diagram.
☐E) Triangle VWZ is equilateral.
OF) Each side of triangle VWZ is composed of two radii that have the same
length.
The true statements are: (A), (D), (E) and (F).
Statement A is true. A triangle is said to be isosceles if its two sides are of equal length. Considering the triangle STU, the sides ST and TU are the radius of the same circle centered at T and hence of same length. So triangle STU is isosceles.
Statement B is false. In triangle STU, ST and TU being radii of circle T, are equal. But the third side SU is not a radius of any circle in the diagram and so not equal to ST and TU. Since three sides are not of same length, triangle STU is not an equilateral triangle.
Statement C is false. In Triangle STU two sides are composed of a single radii and not of two radii. The third side is not composed of radii.
Statement D is true. In triangle STU, two sides are radii of circle T but the third side, segment SU, is not a radius of any circle shown in the diagram.
Statement E is true. In triangle VWZ, each side is composed of 2 radii which are of same length. Hence three sides are equal and so it is an equilateral triangle.
Statement F is true. Each side of triangle VWZ is composed of two radii that have the same length.
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Evaluate the expression and enter your answer in the box below.
|34|
Answer:
34
Step-by-step explanation:
the absolute value function always gives a positive result , that is
| - a | = | a | = a , then
| 34 | = 34
Use the Law of Syllogism to draw a valid conclusion from each set of statements, if possible. If no valid conclusion can be drawn, write no valid conclusion and explain your reasoning.If you interview for a job, then you wear a suit.
If you interview for a job, then you will update your resume.
The statements are not valid syllogisms.
What is syllogism?The term syllogism has to do with the reasoning in which a premise must lead to a conclusion. In other words, the conclusion must logically follow from the premise that has been given.
Let us now see if the statements follows the laws of syllogism;
Statement 1 - If you interview for a job, then you wear a suit.
Statement 2 - If you interview for a job, then you will update your resume.
Looking at these statements it is easy to see that they are not valid syllogism. This is because, not every job requires you to wear a suit for interview. You could have a CV that does not need to be updated and still use it for an interview.
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I do not understand how to simplify this can someone please help me?
Answer:
It's 8¹⁰
Step-by-step explanation:
[tex]8^6 * 8^4 = 8^{(6 + 4)} = 8^{10}[/tex]
Select all the like terms:
A. 5x
B. 7
C. 2x^2
D. 6xy
E. -8
Answer:
7 and -8
Step-by-step explanation:
please help me solve the equation, thanks!! :)
|x-1| + 5 = 2
Answer: x has no solutions
Step-by-step explanation:
|x-1| + 5 = 2
|x-1| + 5 - 5 = 2-5
|x-1| + 5 - 5 = -3
|x-1| = -3 ==> Absolute value functions can't be negative. Hence, there is no solution.
x has no solutions
Kennedy's car used 11 gallons to travel 319 miles. How many gallons of gas would she need to travel 406 miles?
Answer:
14
Step-by-step explanation:
319 / 11 = 29
(Quick Check) 11 x 29 = 319
----------------------------------------------
So..
406 / 29 = 14
(Quick Check) 14 x 29
I hope I helped.
Six times the cube of a number
Six times the cube of a number x
Six times of the cube of x is 6x³.Given that
The number is x.To find
Six times of the cube of x ?So, according to the question
We have,
The number = xNow, for finding the six times of the cube of x, first we have to find the cube of x
The cube of x = x × x × x= x¹ × x¹ × x¹
∵ The powers will be added when
[tex]a^{m}\times a^{n} = a^{m+n}[/tex]
∴ = x⁽¹⁺¹⁺¹⁾
= x³
Now,
The six times of the cube of x = 6 × (the cube of x)= 6 × (x³)
= 6x³
The six times of the cube of x = 6x³.
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What is one similarity and one difference between the parent radical and
exponential functions?
Similarity: Both are monotonous functions.
Difference: The parent radical function is a decreasing expression and the parent radical function is an increasing expression.
What are the difference and similarity between the parent radical and exponential functions?
Herein we must describe a difference and a similarity between the parent radical function and the parent exponential function, whose definitions are presented below:
Parent radical function
f(x) = √x
Parent exponential function
f(x) = eˣ
One similarity between these two parent functions is that are monotonous functions and one difference is that the parent radical function is a decreasing expression whereas the parent radical function is an increasing expression.
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in the u.s. orphanage experiment, a control group of babies stayed in the orphanage where human interaction was minimal. a second group of babies, the experimental group, was moved to an institution for women with low iqs who showered them with love and attention. the experiment started when the babies were about 19 months old. two and one-half years later both groups were given iq tests. what was the outcome of the experiment?
The sound group gained IQ points due to the interactions with the women, regardless of their IQ was the outcome of the experiment.
What term is used to describe the idea that people try to control others think about them?
It is claimed that brainwashing impairs a person's capacity for autonomous or critical thought, permits the entry of unwelcome ideas and concepts into their heads, and alters a person's attitudes, values, and beliefs.
Why do people try to control others?
Anxiety disorders and personality problems are the most prevalent. In order to feel at ease, people with anxiety disorders feel the need to control everything around them. They might not have faith in others to manage situations the way they will.Learn more about brainwashing
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Question 3: A family is traveling in their RV all summer. They have several propane tanks on their RV. Propane is safe to use between temperatures of −40° F and 120° F.
Write an inequality to represent the temperatures at which the propane is safe to use.
The inequality to represent the temperatures at which the propane is safe to use is -40 < x < 120.
It is said that it is safe to use Propane between the temperatures of -40°C and 120°C.
We already know the use of an equality. It makes the values on both sides of it equivalent.
An inequality compares the values on both sides of it. It informs us which one is greater than or less than the other or if they are equal. That is, inequality has a possibility for equality too.
Here the minimum temperature at which propane is safe to use = -40°C
The maximum temperature at which Propane is safe to use = 120°C
We take a variable 'x' to denote the safe temperature of Propane.
Then according to the information, the inequality to represent the temperatures at which the propane is safe to use is,
-40 < x < 120
An inequality is written with the bigger value is in the open end of '<' and the lower value at the other end.
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Write an inequality to model this statement: Four less than three times a number, n , exceeds ten.
Use nn as your variable.
Answer: four less than three times a number is 3x - 4. the number plus ten is x + 10. the same means the two statements are equal to each other.
Step-by-step explanation:
If you were to spin the spinner at left, what would be the probability of landing on green or orange? P(green or orange) Write your answer as a simplified fraction.
Using it's probability of landing on green or orange would be of:
P(green or orange) = 3/4.
What is the missing information?This problem is incomplete, but researching it on a search engine, it is found that:
Half the area of the spinner is of green.1/4 of the area of the spinner is orange.1/4 of the area of the spinner is purple.What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
From the areas of the spinner, the probability of landing on green or orange would be of:
P(green or orange) = 1/2 + 1/4 = 2/4 + 1/4 = 3/4.
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Help.... Please....
I'm not good at math.
The value of x from the figure shown is 2.19
Pythagoras theoremAccording to the Pythagoras theorem, the square of the hypotenuse is equivalent to the sum of the square of other two sides.
From the given diagram, the expression below is true;
6^2 = 3^2 + (3+x)^2
Determine the value of x
36 = 9 + (9+6x + x^2)
36 = 18 +6x+x^2
x^2 + 6x - 18 = 0
On factorizing, the value of x is expressed as;
x = -3 + 3√3
x = -3 + 3(1.732)
x = 2.19
Hence the value of x from the figure shown is 2.19
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suppose x and y are proportional. which of the following statements are true? select all that apply.
Suppose x and y are proportional. 3rd , 4th and 5th options are correct.
What is proportional in an equation?
The equation y = kx represents a proportionate relationship between two quantities y and x that have the same proportionality constant, k. A proportionate relationship exists if an equation in a different form can be rewritten as shown above.Given that x and y are proportional ,
then , x = my for some constant m
Δx = Δ (my) ⇒ m Δy
∴ 3rd option is correct .
x = my
y = 1/m x ⇒ kx
∴ 4th option is correct.
the points ( 0,0) satisfies x = my
the point ( 0, 0 ) is on the graph of y in terms of x .
∴ 5th option is correct .
y = kx
Δy = Δ ( kx) ⇒ k Δx
∴ 1st option is not true .
y = 2x also implies x and y are proportional .
∴ 2nd option is not true .
∵ 3rd , 4th and 5th options are correct.
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The complete question is -
Suppose x and y are proportional. Which of the following statements are true? Select all that apply. Ay = kx, where k is constant Oy=3 D Ax = mAy, where m is constant Oy kä, where k is constant The point(0, 0) is on the graph of y in terms of
Find the coordinates of the midpoint of stack J K with bar on top
J(-1,3), K(7,-1)
is it the answer 3,1 explain?!?!?!?
The coordinate of the midpoint of line JK is; (3, 1)
What is the Midpoint of the Line?We want to find the midpoint of the line stack JK with bar on top.
The coordinates of the line are;
J(-1,3), K(7,-1)
Now, the formula to find the midpoint is; (x, y) = (x1 + x2)/2, (y1 + y2)/2
Thus, the coordinates of the midpoint of the line are;
(x, y) = (-1 + 7)/2, (3 - 1)/2
(x, y) = 6/2, 2/2
(x, y) = (3, 1)
Thus,the coordinates of the midpoint of line JK is; (3, 1)
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Is 3.1 terminating or repeating
Answer:
Depends if there is a line above the "1".
Step-by-step explanation:
If it were the attached image it would be repeating>>
If not and it's just 3.1, its terminal.
solve the inequality 5(a - 5) greater than 25
Answer:
5a-25=bigger than 25
a=bigger than 10
Step-by-step explanation:
Answer:
a>10
Step-by-step explanation:
10-5=5
5 times 5=25
So a must be bigger than 10
Is the inequality x ≤ 6 equivalent to the inequality
x-5≤6-5?
Explain your reasoning
Step-by-step explanation:
two inequalities are equivalent if they have the same set of solution
x - 5 < 6 - 5
x - < 1 Ladd 5 to both sides
x < 6
this is not with the question but the is a _ under all the < it didn't let me do it
25 points!
answer possibilities: A, B, C or D?
Answer:
A
Step-by-step explanation:
[tex]\frac{2xy}{-4x^3y^2}[/tex] ( cancel 2 and - 4 by 2 )
= [tex]\frac{xy}{-2x^3y^2}[/tex] ( cancel x on numerator/ denominator )
= [tex]\frac{y}{-2x^2y^2}[/tex] ( cancel y on numerator/ denominator )
= [tex]\frac{1}{-2x^2y}[/tex]