Answer:
Slope Intercept Form: y=3x-10
Step-by-step explanation:
First, we need to solve the slope.
The formula: y2-y1/x2-x1 = m
Coordinate Points:
(2, -4) ; (4,2)
Do 2 - (-4) for the y's and 4-2 for the x's
Formula: 2-(-4)/4-2
2 - (-4) is a positive answer since the negatives cancel to a positive.
That shall be 6.
4-2 = 2
Now we have 6/2 which means 6 divided by 2 which is 3.
Our slope is 3.
Slope-Intercept Formula: y=mx+b
Our "m" is 3
y = 3x + b
Our b which is the y-intercept is undefined.
We need to plug one of the coordinates into the formula to find it.
Plug (2,-4) into the formula.
-4 = 3(2) +b
Do 3 x 2 first
-4 = 6 + b
Now subtract 6 on both sides
-6-4 = b
Our y-intercept is -10 because negative subtracted by negatives is an addition number followed by the greater number's sign.
Formula: y=3x-10
Answer:
y = 3x - 10
Step-by-step explanation:
To determine the line that passes through the points (2, -4) and (4, 2), we need to determine the slope of the line. Then, using the slope of the line and any point, we can determine the equation of the line using point slope form.
How to determine the slope of the line?
The slope of the line can be determined by using the formula (y₂ - y₁)/(x₂ - x₁), where x₂ and y₂ are the coordinates of the second point; x₁ and y₁ are the coordinates of the first point.
Determining the slope of the line:[tex]\implies\large\text{Slope} = \dfrac{y_{2} - y_{1} }{x_{2} - x_{1} }[/tex]
In this case, our first point and second point are (2, -4) and (4, 2) repectively as stated in the question. Therefore,
Point₁ = (x₁, y₁) = (2, -4) ⇒ x₁ = 2 y₁ = -4Point₂ = (x₂, y₂) = (4, 2) ⇒ x₂ = 4 y₂ = 2When we substitute the following into the formula, we obtain;
[tex]\implies\large\text{Slope} = \dfrac{2- (-4)}{4 - 2 }[/tex]
When we perform subtraction, we obtain;
[tex]\implies\large\text{Slope} = \dfrac{2- (-4)}{4 - 2 } = \dfrac{2 + 4}{2 } = \dfrac{6}{2}[/tex]
Which when simplified, we get;
[tex]\implies\large\text{Slope} = \dfrac{6}{2} = 3[/tex]
Determining the equation of the line:As said above, to determine the equation of the line with the slope and a point given, we can use point slope form. The chosen point must be on the line. The question states that "the line that passes through the points (2,-4) and (4, 2)". Therefore, we can tell that (2,-4) and (4, 2) are points that are on the line. Let's choose (4, 2) as our chosen point.
Chosen point: (4, 2)Now, let's substitute the slope of the line and the coordinates of the chosen point in the point slope form equation.
⇒ Point slope form: y - y₁ = m(x - x₁)⇒ Point slope form: y - 2 = 3(x - 4)Finally, let's simplify the point slope equation and convert it into slope intercept form (as stated in question).
⇒ Point slope form: y - 2 = 3x - 12The slope intercept form states that;
Slope intercept form: y = (m)x + (b)We can see that the "y" variable is isolated on one side of the equation [y = (m)x + (b), Slope intercept form equation]. Thus, we need to isolate the y-variable in y - 2 = 3x - 12 to obtain our equation in slope intercept form. This can be done by adding 2 to both sides of the equation.
⇒ y - 2 + 2 = 3x - 12 + 2⇒ y = 3x - 10Therefore, the equation in slope intercept form is y = 3x - 10.
ayuda porfa, quien entiende???
Answer:
c
Step-by-step explanation:
the right answer is c it good
Prisms A and B are similar. The volume of prism A is 375cm3. The volume of prism B is 648cm3. The surface area of prism A is 250cm2. Work out the surface area of prism B.
Answer:
We have the length, width, and height of the rectangular prism, so we can calculate V=l×w×h=20cm×10cm×10cm=2,000cm3 V = l × w × h = 20 cm × 10 cm × 10 cm = 2 , 000 cm 3
The surface area of Prism B is approximately 367.25 cm^2.
Since Prisms A and B are similar, their corresponding sides are in proportion, and their volumes are related by the cube of the scale factor between them.
Let the scale factor between Prism A and Prism B be k. Then:
Volume of Prism A / Volume of Prism B = (Side length of Prism A / Side length of Prism B)^3
Given that the volume of Prism A is 375 cm^3 and the volume of Prism B is 648 cm^3, we can set up the equation:
375 / 648 = (Side length of Prism A / Side length of Prism B)^3
Now, let's solve for the scale factor (k):
k^3 = 375 / 648
k^3 = 0.5787037037
k ≈ 0.825 (rounded to three decimal places)
Now, since the surface area of a prism is proportional to the square of its side length, we can find the ratio of the surface areas:
(Surface area of Prism A / Surface area of Prism B) = (Side length of Prism A / Side length of Prism B)^2
Given that the surface area of Prism A is 250 cm^2, we can find the surface area of Prism B:
Surface area of Prism B = Surface area of Prism A / (k^2)
Surface area of Prism B = 250 / (0.825^2)
Surface area of Prism B ≈ 250 / 0.680625
Surface area of Prism B ≈ 367.25 cm^2
Therefore, the surface area of Prism B is approximately 367.25 cm^2.
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Which of the following are prime factors of both 24 and 42? Select all that apply.
Answer:
2 and 3
Step-by-step explanation:
So, 24=2x2x2x3
42=2x3x7
3 and 2
Answer:
2 and 3
Step-by-step explanation:
prime factors for 42: 2, 3, and 7
prime factors for 24: 2,2,2 and 3
15. In the graph below, f(x) is a linear function and g(x) is an exponential function. Using the graph provided, what is
the equation for f(x)? What is the equation for g(x)?
Answer:
That'd be B. The red graph has the classic shape of an exponential function (y-intercept (0,1), and the blue on e has the shape of a log function (x-intercept (1,0). These two functions are inverses of one another, and so their graphs are reflections about the line y = x.
Step-by-step explanation:
what value of x makes the equation true x + 10=18
Answer:
its 8 cause 8+10=18 and you subtract 10 to 18 to get 8 again
Step-by-step explanation:
Please answer I am struggling
(For question 1 you have to do it yourself, get a ruler and measure the actual length of the drawing, then multiply it by 8 to get the actual dimensions in the exercise. )
Example, if you measure 4 inches, the actual dimension will be 4 x 8 = 32 ft
2. (Scale drawing 1:5 is that every 1 (length units) will be equal to 5(length units) in the actual dimensions)
Model : 3ft ; 7m
Actual : 15ft ; 35m (corresponding)
Actual : 20yd ; 12.5 cm
Model : 4yd ; 2.5 cm
6. 1.5 ft = 1.5 x 12 = 18 inches.
The model is 3 inches, and the actual rose is 18 inches -> The scale of the drawing is 6. (enlargement)
Same goes to the scale factor, but this time is the quotient of the corresponding side -> 3 : 18 = 1:6.
(If I got any parts wrong just tell me, I actually kinda forgot these kind of stuff)
Alicia tiene un reloj que se retrasa 3 segundos cada día. ¿Cuántos minutos y segundos se retrasa en un mes?
¿Y en un año?
En un mes el reloj de Alicia se retrasa 1.5 minutos, por otra parte en un año su reloj se retrasa 18 minutos y 15 segundos.
¿Cuánto se retrasa el reloj en un mes?La mayoría de los meses tienen entre 30 y 31 días:
Mes de 30 días:
3 segundos x 30 = 90 segundos / 60 segundos = 1 minuto y 30 segundos3 segundos x 31= 91 segundos/ 60 segundos = 1 minuto y 31 segundosEn general se atrasa 1.5 minutos en un mes.
¿Cuánto se retrasa el reloj en un año?3 segundos x 365 días = 1095 segundos/ 60 segundos = 18 minutos y 15 segundos.Aprenda más sobre el reloj en: https://brainly.com/question/8776916
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If f(x)=3x^6+4x^3-4, then what is the remainder when f(x) is divided by x+1?
Answer:
-5
f(-1) would be the remainder
Annabelle missed 30 questions on her multiple choice science final that had a total of 200 problems. What percentage of questions did Annabelle answer correctly?
Answer:
Annabelle answered 85% of the answers correctly.
Step-by-step explanation:
You would do 200-30 questiosn to get 170 questions that she answered right. You would then do 170/200 to get 0.85. 0.85 in decimal form is equal to 85%. I hope this helps! :)
Jill usually rides her bike at a speed of 10 miles per hour. Let x represent the hours and y represent miles. Write an equation that shows the relationship between x and y.
Answer:
y = 10x
Step-by-step explanation:
If x represents the hours & y represents the miles, your equation should be in multiplication.
10 miles an hour would be 10x and y would be the total. You can also plug in the answer to check. Let's say x is 2. Plug that into 10x and you get 10(2) = 20 and since y is 20, that'd be 20 miles. Therefore, you'd be running 20 miles in 2 hours, which makes sense because your rate is 10 miles an hour.
Find two consecutive whole numbers that
124 lies between.
Answer: 123 and 125.
Step-by-step explanation:
your class wants to sell school spirit cups with the school logo on them .you teacher asks you to design this new cup such that a stack of 10cups will be 125 cm tall. describe key measurements of the school spirit cups and explain how they will meet the reqiured specifications
The class can make the school cup of 120.5 cm tall.
What is Equation?Equations include two sides on the left and right connected with equal to sign.
We can find the key measurements of the cups using the formula,
x + 10y = 125
where x is the height of one cup without including the lip length and y is the lip length.
x + y is the height of one cup.
There are various ways to form the measurement of x and y here.
Let y, the lip length of the cup be 1 cm tall. Then,
x + 10 = 125
⇒ x = 115
Length of 1 cup will be 115 + 1 = 116 cm.
Suppose length of lip, y be 0.5 cm. Then,
x + (10 × 0.5) = 125
x + 5 = 125
x = 125 - 5
x = 120 cm
Length of 1 cup will be 120 + 0.5 = 120.5 cm.
Similarly, we can have many measurements for the height of one cup.
Their logo can be placed in the middle of the cup taking the height of 80 cm leaving 20 cm on the top and bottom.
Hence the class can make the school cup of 120.5 cm tall.
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This is a 30-60-90 triangle.
What is the measure of x?
Rationalize the denominator.
[?]
х
X=
7
Answer:
x = [tex]\frac{2\sqrt{21}}{3}[/tex]
Step-by-step explanation:
For a 30-60-90 triangle:
Short leg = sLong leg = s√3Hypotenuse = 2sThus:
Short leg = √7/√3 = (√21)/3Long leg = √7Hypotenuse = x = 2(√21)/3Answer:
2 21 3
Step-by-step explanation:
45 points!
x+1(8+5)+y2-3(x3+y-4)=36-4+x7-y-1
pls i need help now!
Write an expression that is equivalent to 110% of a quantity, n
Answer:
[tex]\displaystyle 1\frac{1}{10}n[/tex]
Explanation:
Convert [tex]\displaystyle 110\%[/tex]to a mixed number, then set [tex]\displaystyle n[/tex]up next to it.
I am joyous to assist you at any time.
Which of the following correctly shows the first step when factoring 3wx + 3wy - 4zx - 4zy by grouping? (Please show simple or advance explanations - 35 points is rewarded :>)
A) 3w(x + y) - 4z(x + y)
B) 3w(x + y) + 4z(x - y)
C) 3w(x + y) + 4z(x + y)
D) w(3x + 3y) - z(4x + 4y)
The first step for factoring is 3w(x + y) - 4z(x + y). The correct option is (A).
What is an Algebraic expression?An algebraic expression can be obtained by doing mathematical operations on the variable and constant terms.
The variable part of an algebraic expression can never be added or subtracted from the constant part.
The given algebraic expression is as below,
3wx + 3wy - 4zx - 4zy
In order to factorize it find the common factors for the group terms such that one of the factors is common for both the groups as follows,
3wx + 3wy - 4zx - 4zy
Take (3wx + 3wy) and (- 4zx - 4zy) as two groups.
The factor form for (3wx + 3wy) is 3w(x + y).
And, for (- 4zx - 4zy) it is -4z(x + y).
Thus, the given expression can be written as,
3wx + 3wy - 4zx - 4zy
= 3w(x + y) - 4z(x + y)
Hence, first step when factoring the given expression is 3w(x + y) - 4z(x + y).
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Here’s one of the answer options
Answer: (x - 2)^2 + (y + 3)^2 = 18 3(2^(1/2)) (2,-3)
Step-by-step explanation:
7x^2 - 28x + 7y^2 + 42y - 35 = 0
divide 7 out
x^2 - 4x + y^2 + 6y - 5 = 0
add 5 to other side
x^2 - 4x + y^2 + 6y = 5
solve by completing the square
take b values divide them by 2 square and add to both sides
-4/2 = -2
-2^2 = 4
6/2 = 3
3^2 = 9
X^2 - 4x + 4 + y^2 + 6y +9 = 4 + 9 +5
(x - 2)^2 + (y + 3)^2 = 18
(x - k)^2 + (y - h)^2 = r^2
r^2 = 18
r = [tex]\sqrt{18}[/tex] = 3[tex]\sqrt{2}[/tex] = 3(2^(1/2))
center of circle = (2,-3)
The length of time that the girls ran was 20 percent greater than the length of time the boys ran.If the girls ran for 48 hours, how long did the boys run
Can you help me with this
Answer:
i think it is b
Step-by-step explanation:
i am not good at math sorry
Use substitution to solve the system.
-4x+5y = -26
y = 3x-14
Answer:
x= 4, y= -2
Step-by-step explanation:
To solve the system by substitution, start by labelling the two equations:
-4x +5y= -26 -----(1)
y= 3x -14 -----(2)
Since the second equation already has y as the subject of formula, we can substitute equation (2) into (1). This means that we can replace all the 'y's in equation (1) with 3x -4, such that equation (1) will only be in terms of x.
Substitute (2) into (1):
-4x +5(3x -14)= -26
Expand:
-4x +15x -70= -26
11x= 70 -26
11x= 44
Divide both sides by 11:
x= 44 ÷11
x= 4
Substitute x= 4 into (2):
y= 3(4) -14
y= 12 -14
y= -2
Hurry pls!
A miniature connector is shaped like this hexagonal prism. The prism has a base area of 8.15 cm².
What is the volume of the connector?
Enter your answer as a decimal in the box.
cm³
The volume of the connector given the base area and the height is 84.70cm³.
What is the volume of the connector?A hexagonal prism is a three dimensional object that is made up of a hexagonal base. It has 8 faces, 18 edges, and 12 vertices.
Volume = [tex]\frac{3\sqrt{3} }{2} a^{2}h[/tex]
Where:
a²= base area h = height2.598076 x 8.15 x 4 = 84.70cm³
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Answer:
32.6 cm³ for K12
(6.1D; 6.1F)
-
1. Which expression is equivalent to 32?
A 23 + (4) – 4 x 2
B 3x3 + (42) - 4
C 42 – 7x0
+
-
D 4x 5 + 2 – 4 + 2
Hey there!
Option A.
23 + (4) - 4 * 2
= 23 + 4 - 4 * 2
= 27 - 4(2)
= 27 - 8
= 19
19 ≠ 32
Option B.
3 * 3 + (42) - 4
= 3 * 3 + 42 - 4
= 9 + 42 - 4
= 51 - 4
= 47
47 ≠ 32
Option C.
42 - 7 * 0
= 42 - 0
= 42
42 ≠ 32
Option D.
4 * 5 + 2 - 4 + 2
= 20 + 2 - 4 + 2
= 22 - 4 + 2
= 18 + 2
= 20
20 ≠ 32
None of them are equivalent to 32
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Find the volume of a right rectangular prism if the dimensions of the base are 6.8 centimeters by 12.5 centimeters and the height is 13 centimeters.
A.
B.
C.
D.
Answer:
6.8 x 12.5 x 13 = 1105
Step-by-step explanation:
Answer:
the answer is 1105
Step-by-step explanation:
A random sample of people were surveyed on their favorite sport, as shown in the table below sorted by the respondent’s age.
What percent of the people between the ages of 21 and 34 prefer other sport and/or hate sports? Round your answer to the nearest tenth of a percent.
Answer:
22.5%
Step-by-step explanation:
The total of people surveyed between 21-34 is 40 and the total number who prefer other or hate sports is 9 so the percent is 9/40 which is equal to 2.25. Multiply this number by 100 to get it as a percent and you have 22.5%
22.5% of the people between the ages of 21 and 34 prefer "Other/Hate Sports."
What is Percentage?Percentage is a way of expressing a fraction or a portion of a whole as a value out of 100. It is denoted by the symbol "%". Percentages are used to represent proportions, ratios, or rates in a more easily understandable and comparable form.
To find the percentage of people between the ages of 21 and 34 who prefer other sports and/or hate sports, we need to calculate the proportion of the total respondents in that age group who have chosen "Other/Hate Sports."
The table shows that there are 9 people between the ages of 21 and 34 who prefer "Other/Hate Sports" out of a total of 40 respondents in that age group.
So, Percentage = (Number of people with the preference / Total number of respondents in the age group) x 100
= (9 / 40) x 100
= 22.5%
Therefore, 22.5% of the people between the ages of 21 and 34 prefer "Other/Hate Sports."
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A sculpture is made of two sizes of rectangular prisms. one size measures 13 in by 8 in by 2 in. the other size measures 9 in by 8 in by 18 in. what is the total volume of the sculpture
Answer:The answer should be 1504 if i did it corectly
Step-by-step explanation: to get volume you need to multiply L*W*H and filling that in. 13 * 8 * 2 whitch you should get 208
the other size would have to be 9 * 8 * 18 which you should get 1296
then to get the total you just need to add together the two sums 208+1296 which should equal 1504.
Multiply the binomials (4x + 7) and (2x - 8).
es )
A)
8x2 +18x - 56
B)
8x2 - 18x - 56
8x2 - 46x + 56
D)
8x2 - 46x - 56
8x²-18x-56
Solve :
(4x + 7) (2x - 8)apply distributive method
(4x)(2x)+(4x)(-8)+7(2x)+7(-8)simplify the following
8x²-32x+14x-56final outcome
8x²-18x-56Answer:
B) [tex]8x^2-18x-56[/tex]
Step-by-step explanation:
Given expression:
[tex](4x + 7)(2x - 8)[/tex]
Apply the FOIL method: [tex](a+b)(c+d)=ac+ad+bc+bd[/tex]
[tex]\implies (4x \cdot 2x)+(4x \cdot -8)+(7 \cdot 2x) +(7 \cdot -8)[/tex]
[tex]\implies 8x^2-32x+14x-56[/tex]
Combine like terms:
[tex]\implies 8x^2-18x-56[/tex]
a phone call from a pay phone cost $3.18 for a 10 minute call. what is the cost per minute for the call?
Answer:
$0.318 per minute
Step-by-step explanation:
3.18/10 = 0.318
3.18 divided by 10 equals 0.318
Answer:
3.18 cents per minute
Step-by-step explanation:
318 cents / 10 minutes = 3.18 cents per minute
Give the name (monomial,
binomial, trinomial etc.) and
degree of the polynomial.
V29x6
Answer:
x 3 -2x
Step-by-step explanation:
math work pls help!!
Answer:
Step-by-step explanation:
The graph is generally increasing. Thus, as the weight increases, the cost increases with it.
Please help me with this
Answer:
Look at the photo.
Step-by-step explanation:
The formula is y=mx+b. So, for the first one you start at the coordinate (0, 2) and then move down 2 and right one.
For the second one you start at the coordinate (0, -2) and then move down two and move right one.