The slope intercept form of a line which passes through the points (-2, 5) and (6, -4) is y = (-9/8)x + 11/4.
According to the question.
A line passes through the two points (-2, 5) and (6, -4).
As we know that, the slope intercept formula y = mx + b is used when you know the slope of the line to be examined and the point given is also the y intercept (0, b). In the formula, b represents the y value of the y intercept point.
So, the slope of the line = -4 -5/(6 + 2) = -9/8
And, the slope intercept form of a line which passes through the points (-2, 5) and (6, -4) is given by
y = (-9/8)x + b
Since, the line passes through (-2, 5) and (6, -4). So, both the points must statisfy the above equation.
⇒ 5 = (-9/8)(-2) + b
⇒ 5 = 9/4 + b
⇒ b = 5 - 9/4
⇒ b = (20 - 9)/4
⇒ b = 11/4
Therefore, the slope intercept form of a line which passes through the points (-2, 5) and (6, -4) is y = (-9/8)x + 11/4.
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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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Matemáticas
4. Javier pagó $92 por 5 libretas y 3 lápices. Laura compró 2 libretas y 6 lápices, y pagó $56, ¿cuál es el
precio de cada libreta y de cada lápiz
The price of each book and pencil is $16 and $4, respectively.
System of EquationsA system of equations is the given term math for two or more equations with the same variables. The solution of these equations represents the point of the intersection.
You can solve a system of equations by the adding or substitution methods. In the addition method, you eliminate a variable, on the other hand, in the substitution method you replace a variable for the other.
First, you should convert the text of the question into a math expression. Then,
Javier pagó $92 por 5 libretas y 3 lápices. You can represent this text as the equation:5B+3L=92, where B= libretas and L=lápices.
Laura compró 2 libretas y 6 lápices, y pagó $56. You can represent this text as the equation:2B+6L=56, where B= libretas and L=lápices.
Therefore,
5B+3L=92 (1)
2B+6L=56 (2)
After that, you should multiply equation(1) by -2. Thus,
-10B-6L=-184(1)
2B+6L=56 (2)
Now, when you sum equations 1 and 2, you eliminate L . Thus, from this sum, you will have:
-8B=-128
B=128/8
B=16
If B=16, from equation 2, you can find L.
2B+6L=56 (2)
2*16+6L=56
32+6L=56
6L=56-32
6L=24
L=4
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help me please 106.4 + 10³ =
Answer:
1106.4.
Step-by-step explanation:
10*3 = 1000
106.4 + 1000
= 1106.4.
Answer: 1106.4
Step-by-step explanation:
[tex]106.4+10^3=\\106.4+10*10*10=\\106.4+1000=\\1106.4[/tex]
HELP
2x+3=7
Substitute your solution for x into 2x+3 and evaluate. What do you get?
Answer:
x=2
Step-by-step explanation:
2x+3=7
2x=7-3
2x=4
x=4/2=2
x=2
so let x be 2
2x2+3=7
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.
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.
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.
What is the value of CGD
A set of shirt prices are normally distributed with a mean of 454545 dollars and a standard deviation of 555 dollars. what proportion of shirt prices are between 373737 dollars and 59.3559.3559, point, 35 dollars? you may round your answer to four decimal places.
The total proportion of shirts between two prices is 0.9431, which is obtained using the knowledge of proportion and statistics.
What is proportion?
In mathematics, a proportion is defined as the comparison between two numerical quantities. If both possess the same nature, they are called directly proportional, or else called inversely proportional.
Calculation of the proportion based on the problem
The mean and standard deviation are given to be 45 and 5 respectively
Calculate standard normal variate using the formula, z = (x - 45) / 5
Taking x = 37, we get,
z1 = (37 - 45) / 5
= -1.6
Using the z table, we get the value, z1 = 0.0548
Now, taking x = 59.35, we get,
z2 = (59.35 - 45) / 5
= 2.87
Using the z table, we get the value, z2 = 0.9979
The proportion between two prices is given by z = z2 - z1
z = 0.9979 - 0.0548
= 0.9431
Hence, the proportion of shirts between the two prices is 0.9431.
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Carlos has ½ of a tray of brownie left over from the night
before. He eats ⅓ of the leftover part the next night. How
much of the whole pan does Carlos eat? Show how you
solved the problem as an equation.
Answer:
1/6
Step-by-step explanation:
1/2 * 1/3 = 1/6
He ate 1/6 of the whole pan.
A ________ displays the frequency of each class with qualitative data and a ________ displays the frequency of each class with quantitative data.
Some basic concepts and properties based on bar graph and histogram are discussed underneath.
What is a bar grapht?
A bar graph is generally used to illustrate the entire data in the form of rectangular bars. It is also known by the name bar chart. There occur some gap between the two consecutive bars.
What is a histogram?
A type of graph used to depict the frequency of each class with the numerical data. In histogram, the class intervals have equal sizes and there do not exist any gap between the bars in a histogram.
Fill in the blanks using appropriate term
A __bar graph__ displays the frequency of each class with qualitative data and a _histogram_ displays the frequency of each class with quantitative data.
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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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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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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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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:
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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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]
[tex]-6n - 9 -9n = -24[/tex]
[tex] - 6n - 9 - 9n = - 24 \\ - 15n = - 24 + 9 \\ - 15n = - 15 \\ 15n = 15 \\ n = \frac{15}{15} = 1[/tex]
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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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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32+(-17) is 17 units from 32, in the positive direction
On the number line, It is true to the claim that the solution to the expression 32 + (-17) is 17 units from 32 in the positive direction.
What is a number line?A number line is an illustration of a graded straight line that represents actual numbers. What we call a "number line" is really a horizontal line with regularly spaced number increments. The number line's response format is determined by the numbers it contains.
All possible numbers may be plotted along a line called a number line. Any real number may be represented by a single dot on a number line.
On the number line, we have the negative numbers on the -ve x-axis to the left and they are smaller than the positive numbers to the right, and this is immediately apparent when looking at a number line.
Given that:
= 32 + (-17)
= 32 - 17
= 17
We can therefore conclude that the given expression shows that we are 17 units far away from 32 in the positive x-axis on the number line.
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An investor has an account with stick from two different companies last year his stock yk company a was worth 6500 and his stock h was worth 7450 increased 4
The percentage increase in the value of the stock is 14.62%.
How to calculate the percentage?Thw.investor has an account with stock from two different companies last year his stock yk company a was worth 6500 and his stock h was worth 7450.
The percentage increase will be:
= Change in value / Initial value × 100
= (7450 - 6500) / 6500 × 100.
= 950/6500 × 100
= 14.62%
Therefore, percentage increase in the value of the stock is 14.62%.
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An investor has an account with stick from two different companies last year his stock yk company a was worth 6500 and his stock h was worth 7450. Calculate the percentage increase.
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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In the equation y=mx+b , what letter represents the slope?
Answer:
m represents the slope.
Step-by-step explanation:
m represents the slope. To find the slope, you can use the slope formula.
m=slope
b=y-intercept.
Hope this helps!
Please mark as brainliest if correct!
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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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
Simplify this. Enter your answer in simplest form.
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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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 :)
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