There is a line that includes the point (4, 6)
and has a slope of 1. What is its equation in
slope-intercept form?
Answer: y=x+2
Step-by-step explanation:
y-6=1(x-4)
y-6=x-4
y=x-4+6
y=x+2
2)
B
34°
C
A) similar; AA similarity
B) not similar
C) similar; SSS and SAS similarity
D) similar; SAS similarity
34°
Answer:
a
Step-by-step explanation:
HELP QUICKLY THANK YOU!
Write the equation in Slope-Intercept form that passes through the point (-4, -9) and has a slope of 1/12.
Answer:
[tex]y=\frac{1}{12}x-\frac{26}{3}[/tex]
Step-by-step explanation:
[tex]y+9=\frac{1}{12}(x+4) \\ \\ y+9=\frac{1}{12}x+\frac{1}{3} \\ \\ y=\frac{1}{12}x-\frac{26}{3}[/tex]
what is the slope of a line that passes through the two points (8,3) nd (4,9)?
Given the points (8,3) and (4,9), we can find the slope of the line that passes through them with the following formula:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]In this case, we have the following:
[tex]undefined[/tex]Working together, two secretaries can stuff the envelopes for a political fund-raising letter in 4 hours. Working alone, it takes the slower worker 15 hours longer to do the job than the faster worker. How long does it take each to do the job alone?.
The slower worker takes 20 hours and faster worker takes 5 hours to complete the job .
In the question,
it is given that ,
two secretaries stuff the envelopes for a political fund-raising letter in 4 hours .
let the time taken by fast worker to complete the job be x hours .
the slower worker takes 15 hours longer to do the job than faster worker
So , the time taken by slow workers to complete the job will be (x+15) hours .
the amount of work done by faster worker in 1 day = 1/x
the amount of work done by slower worker in 1 day = 1/(x+15)
total work done by both in 1 day = 1/x + 1/(x+15)
their combined 1 day work will be equal to 1/4 .
The equation representing is
1/x + 1/(x+15) = 1/4
(x+15+x)/(x²+15x) = 1/4
(2x+15)/(x²+15x) = 1/4
4(2x+15) = x²+15x
8x + 60 = x²+15x
x² + 15x - 8x - 60 = 0
x² + 15x - 8x - 60 = 0
x² + 7x - 60 = 0
x² + 12x - 5x - 60 = 0
x(x+12) -5(x+12) = 0
(x-5)(x+12)=0
we get x -5 = 0 or x+12=0
x = 5 or x = -12 .
the time cannot be in negative ,
So , fast worker to complete the job in = 5 hours
slow worker to complete the job in = 20 hours
Therefore , The slower worker takes 20 hours and faster worker takes 5 hours to complete the job .
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Choć kulig hjchkxhkcgiciUPDATE to QUESTION
Student will kill the app and refuse to turn back to ongoing session
Session is in session history
Even though it's not finished yet
Student sees updates to Answer
But to see updates to Question he needs to kill the app
if the local rate for electrical service is 6cents per kilowatt-hour how much money would be saved in a year by using a dishwasher 4times per week rather than 6 times per week
Given:
The local rate for electrical service is 6 cents per kilowatt-hour.
We need to know how much money would be saved in a year by using a dishwasher 4times per week rather than 6 times per week
From the table:
The cost of using a dishwasher 4 times per week = $29
The cost of using a dishwasher 6 times per week = $44
So, the saving will be = 44 - 29 = 15
So, the answer will be $15
Use polynomial identities to factor the polynomial
25x^6-100y^4
Answer:
B. 4.
Step-by-step explanation:
And example of statistical and non-statistical questions
Let us start by looking at the difference between statistical and non statistical question.
For a statistical question. a single answer is usually impossible while a statistical question has a single answer.
If someone asks how old are you, the answer is simple and it is expected to be a single answer.
If the question is how old are the boys in your neighborhood, a single answer is not possible. The ages are different since some are older than the others. In this case, there is spread in the data. We would be considering looking for the average age of a given number of boys. We may also consider the spread of the ages and other parameters like range, median etc
I dont understand the question
The dot plots show the distribution of the length, in centimeters, of 25 shark teeth for an extinct species of shark and the length, in centimeters, of 25 shark teeth for a closely related shark species that is still living.
Compare the two dot plots using the shape of the distribution, measures of center, and measures of variability. Use the situation described in the problem in your explanation.
Living species teeth is shorter than extinct species & large species teeth length is more concentrated.
Slope of the distribution:
For extinct species, the symmetric distribution
For living species, left -shaved distribution.
Measures of center:
For extinct species: mean = 3.02 cm
For large species: mean = 2.32 cm
Therefore living species teeth length is shorter than extinct species.
Measures of variability:
For extinct species: b = 6.015cm
For large species: b = 0.13 cm
Therefore large species teeth length is more concentrated.
Hence the answer is, living species teeth is shorter than extinct species & large species teeth length is more concentrated.
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Find the slope between the two points:(8,-1) and (-8,5)
Point 1 = (x1,y1)=(8,-1)
Point 2= (x2,y2)= (-8,5)
We have to apply the slope formula:
[tex]m=\frac{(y2-y1)}{(x2-x1)}[/tex]Replace with the coordinates given:
[tex]m=\frac{(5-(-1))}{(-8-8)}=\frac{(5+1)}{(-16)}=\frac{6}{-16}=-\frac{3}{8}[/tex]if two cubes have a ratio of 5:3, what is the ratio of their respective volumes? and if two cones have heights in the ratio d:c, what is the ratio of their respective volumes?
SOLUTION:
(a) We want to find the ratio of the volumes of the cubes,
5 x 5 x 5 = 125
3 x 3 x 3 = 27
125 : 27
(b) Since the two cones are similar, the ratio of the heights will be the same as the ratio of the radii, which means that the ratio of the volume will be;
[tex]d^{3\text{ }}\colon c^3[/tex]- 3(x + 7) - 3x - 18 ? Please I really need help because our long-term sub won’t explain it in a way I can understand
Answer:
-6x - 39
Step-by-step explanation:
-3(x + 7) -3x -18 Fist distribute the -3
-3(x) + -3(7) -3x -18 Simplify (a negative times a positive is a negative)
-3x -21 -3x -18 Now combine like terms
-6x -39
A portion of a hiking trail slopes upward at about a 6° angle.To the nearest tenth of a foot, what is the value of x, thehiker's change in vertical position, if he has traveled a
In the given right triangle ABC
we have that
[tex]tan(C=\frac{AB}{AC}\text{ ----> by TOA}[/tex]substitute given values
[tex]\begin{gathered} tan(6^o)=\frac{x}{120} \\ \\ x=120*tan(6^o) \\ x=12.6\text{ ft} \end{gathered}[/tex]The answer is the option BRico drove 200 miles on 12 gallons of gas. How far
can he drive on 3 gallons of gas?
Gallons of cas
200
12
6
Answer:
50
Step-by-step explanation:
With an equation such as
200÷12 = 16.666, or 16+(2/3)
You are able to determine how many miles each gallon contributed to. With that, you can take
16 × 3 = 48
3 x 2
1 x 3
(done for the fraction)
6/2 is the outputted fraction, which translates into 2.
48 + 2 = 50
Angela and Barry share a piece of land. The ratio of the area of Angela’s portion to the
area of Barry’s portion is 3:2. They each grow corn and peas on their piece of land. The
entire piece of land is covered by corn and peas in the ration 7:3. On the Angela’s portion
of the land, the ratio of corn to peas is 4:1. What is the ratio of corn to peas for Barry’s portion?
(A)11:9 (B)2:3 (C)3:2 (D)3:7 (E)1:4
Answer:
3:2
Step-by-step explanation:
Angela + Barry = land
7 corn + 3 peas = land
4 corn + 1 peas = Angela
land = land
Angela + Barry = 7 corn + 3 peas
4 corn + 1 peas + Barry = 7 corn + 3 peas
Barry = 7 corn + 3 peas - 4 corn - 1 peas
Barry = 3 corn + 2 peas
Barry = 3:2
The ratio of corn to peas for Barry's portion is 3:2. Hence, option C is correct.
What is an arithmetic operation?The four basic mathematical operations are the addition, subtraction, multiplication, and division of two or even more integers. Among them is the examination of integers, particularly the order of actions, which is crucial for all other mathematical topics, including algebra, data organization, and geometry.
As per the data given in the question,
Angela + Barry = land
7 corn + 3 peas = land
4 corn + 1 peas = Angela
land = land
Angela + Barry = 7 corn + 3 peas
4 corn + 1 peas + Barry = 7 corn + 3 peas
Barry = 3 corn + 2 peas
Barry = 3:2
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Solve for x
-34>5x-4 or 5x-4 ≥-9
Need this asap please
Answer: −33.5 or - 67x over 2 -4
i might be wrong
Step-by-step explanation:
HELP DUE RIGHT NOWW!:((
The correct option will be C that is x+y=15 and 7x+12y=145 as the system of equation defines, "A group of equations involving one or more variables is known as a system of equations. The variable mappings that satisfy each component equation, or the points where all of these equations intersect, are the solutions to systems of equations".
What is system of equation?A group of equations involving one or more variables is known as a system of equations. The variable mappings that satisfy each component equation, or the points where all of these equations intersect, are the solutions to systems of equations. In order for one term to have equal and opposite coefficients in the two equations, multiply one or both equations by an integer. The equations are combined to form a single equation with a single variable. Do the variable's solution. Reintroduce the variable into the equation and then find the value of the other variable. Systems of linear equations in two variables can be solved in one of three ways: by graphing; by the substitution method; or by the elimination method.
Here,
Let x be the plate of 7 inch and y be the plate of 12 inch.
x+y=15
The total of diameter for both the plate is 145 inches.
7x+12y=145
The right option is C, which has the values x+y=15 and 7x+12y=145. according to the equations' definition, "A system of equations is a collection of equations involving one or more variables. Systems of equations have solutions that are either the variable mappings that satisfy each component equation or the locations where all of these equations intersect ".
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Slove for y9/4y-12=1/4y-4
we have the expression
[tex]\frac{9}{4}y-12=\frac{1}{4}y-4[/tex]Solve for y
That means
Isolate the variable y
so
step 1
Multiply by 4 both sides to remove the fractions
[tex]9y-48=y-16[/tex]step 2
subtract y both sides
[tex]\begin{gathered} 9y-48-y=y-16-y \\ 8y-48=-16 \end{gathered}[/tex]step 3
Adds 48 both sides
[tex]\begin{gathered} 8y-48+48=-16+48 \\ 8y=32 \end{gathered}[/tex]step 4
Divide by 8 both sides
[tex]\begin{gathered} y=\frac{32}{8} \\ y=4 \end{gathered}[/tex]therefore
the value of y=4I really need help with this
Mean for the girls is 137.6% of the mean for the boys.
What is Mean?
Suppose, there is a data and the average of the data has to be calculated. Mean is used to find the average of the data.
Mean is calculated by dividing the sum of all observations by the number of observations.
Here,
Let the midpoint be denoted by x and number of boys be denoted by f
[tex]\Sigma fx = 10 \times 18 + 30\times 9 + 50\times 7 + 70 \times 6\\[/tex]
[tex]= 1220[/tex]
[tex]\Sigma f = 40[/tex]
Mean for boys = [tex]\frac{1220}{40}[/tex]
= 30.5
Let mean for the girls be x % of the mean of boys
By the problem,
[tex]\frac{x}{100}\times 30.5 = 48.8\\x = \frac{48.8 \times 100}{35.5}\\[/tex]
x =137.46%
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How many solutions does this equation have?
–8y + 1 = –8y
Answer:
-8 + 1 = -8
+8 +8
1 = 0
no solution
A local water park found that if the price of admission was $19, the attendance was about 1550 customers per week. When the price of admission was dropped to $16,attendance increased to about 2350 per week. Write a linear equation for the attendance in terms of the price,p. (A = mp + b)
Given:
When the price of admission was $19, the attendance was about 1550 customers per week
And, when the price of admission was dropped to $16,
attendance increased to about 2350 per week
Let the attendance = A
And the price = p
The linear equation will be A = mp + b
Where (m) is the slope and (b) is the y-intercept
So,
When p = 19, A = 1550
When p = 16, A = 2350
So,
[tex]m=\frac{2350-1550}{16-19}=\frac{800}{-3}=-\frac{800}{3}[/tex]So,
[tex]A=-\frac{800}{3}p+b[/tex]we will find the value of (b) as follows:
[tex]\begin{gathered} 1550=-\frac{800}{3}\cdot19+b \\ 1550=-\frac{15200}{3}+b \\ b=\frac{19850}{3} \end{gathered}[/tex]So, the answer will be the linear equation is:
[tex]A=\frac{-800}{3}p+\frac{19850}{3}[/tex]what Is the difference in low and high temperatures here are the temperatures in the pic!!!
The difference is calculated as:
15°F - ( - 15°F) = 15°F + 15 °F = 30°F
Because 15°f is the highest temperature and -15°F is the lowest temperature
Answer = 30 °F
Use the Law of Syllogism to draw a conclusion from the two given statements.
If a number is a multiple of 64,then it is a multiple of 8.
If a number is a multiple of 8, then it is a multiple of 2.
Answer:
C. is your answer nwow.
Step-by-step explanation:
For f(x) and g(x), describe each transformation. Then write the equation of the transformed function. f(x)=2x+1 g(x)=1/3x+2
I am haveing a very hard time figuring this out due to my dyscalculia
The transformation processes and equation of the transformed function are:
a) f(x) is translated in the negative y direction and the equation of the transformed function is f(x) = 2x - 4
b) g(x) is translated in the positive y direction and the equation is g(x) = 1/3x + 6
c) g(x) is dilated 3 times hat it as and the equation is x + 6
d) f(x) is dilated and the equation is x + 1/2
What is Dilation?Dilation is a transformation, which is used to resize the object. Dilation is used to make the objects larger or smaller. This transformation produces an image that is the same as the original shape. But there is a difference in the size of the shape.
f(x) is translated by 5 units to the negative y-direction, so f(x) - 5 becomes 2x + 1 -5 = 2x - 4
g(x) + 4 means translation 4 units to the positive y-axis and the function g(x) + 4 becomes x/3 + 2 + 4 = x/3 + 6
3g(x) is dilation which means g(x) would be 3 times what it was initially.
3 x ( x/3 + 2) = x + 6
1/2f(x) is dilation which is a reduction by half. so the function becomes
1/2 x ( 2x + 1) = x + 1/2
In conclusion, the transformation processes are:
a) f(x) is translated in the negative y direction and the equation of the transformed function is f(x) = 2x - 4
b) g(x) is translated in the positive y direction and the equation is g(x) = 1/3x + 6
c) g(x) is dilated 3 times hat it as and the equation is x + 6
d) f(x) is dilated and the equation is x + 1/2
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Josiah scored 63 points by collecting 3 coins. After collecting a total of 4 coins, how many points will Josiah have scored in all?
Answer: 84 points
Step-by-step explanation:
There are two ways I see that you can solve this.
In the first method, we can find the points per coin. To do this, we divide 63/3 and we get 21.
63/3=21
Now we know that in 1 coin, there is 21 points.
1 coin=21 points
Next, since we have to find the total amount of points in 4 coins. We multiply 21 by 4.
21*4=84 points
We do this because in 1 coin there is 21 points, and there is not 21 points in 4 coins. So when we multiply 21 and 4, we get 84 points, and 84 points is our answer.
----------------------------------------------------------------------------------------------------------
Another way you could do this would be to use cross multiplication. In cross multiplication, we would set up our work like this:
63/3=x/4 or in ratio way 3 : 63 = 4 : x
When you look at the ratio formation, you can easily tell that it says 3 to 63 is the same as 4 is to x. This can be written in the fraction formation, making it able for us to cross multiply. When we write it the fraction way, we write
63 x
____ = ____
3 4
With this, we do what the name says, we cross the numbers over and multiply, so we do 63*4=3*x
This way can be harder we have bigger numbers, but we can always simplify before multiplying, like in this case-
We can divide the 3 from both sides
63 * 4
_____ = x
3
From this we can simplify the 63 and 3, and so we would cancel out the 3 and would be left with 21*4=x
And this is the same equation we ended up with before.
So when we solve, we get 84=x and so the amount of points Josiah will have is 84 points.
A developer wants to subdivide a rectangular lot into square pieces. The lot is 600m by 2400m. What is the largest possible square? need answer asap
The largest possible square is of side 600m.
Given, a developer wants to subdivide a rectangular lot into square pieces. The lot is 600m by 2400m.
We have to find the largest possible square.
Now, to find the largest possible square we have to find the HCF of 600 and 2400.
As, the HCF of 600 and 2400 is
HCF(600 , 2400) = 600
So, the largest possible square can be of the side 600m
Hence, The largest possible square is of side 600m
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7. My little sister wants to ride her tricycle. She jumps on and heads east for 1000 m before sheturns around and comes back to the west for 300 m before falling off. What is the distance mysister traveled? What is my sister's displacement?NES
First let's make the picture of the movement of the little sister:
The green line represents the first trip and the red line represents the trip back.
Since she traveled 1000m and then came back 300m, we have that:
[tex]1000m+300m=1300m[/tex]therefore, the little sister displaced 700 meters and she traveled 1300m
Which of the following is not a condition that must be met before you can use
the quadratic formula to find the solutions of an equation?
OA. There can be no term whose degree is higher than 2.
OB. The coefficient of the x-term can't be zero.
OC. One side of the equation must be zero.
OD. The coefficient of the x-term must be positive.
Answer:
A
Step-by-step explanation:
you can answer quadratic equations with a degree above 2