Answers
Answer:
y = -1/6x +2
Step-by-step explanation:
The black vertical line in the middle of the graph is the y-axis. The blue line crosses it a the point marked 2. This is known as the y-intercept.
The slope of the line is the ratio of "rise" (vertical change) to "run" (horizontal change).
There is a marked point on the line at the y-intercept, where x=0 and y=2. There is another marked point to the right of that, where x=6 and y=1.
The vertical change between those two points is 1 -2 = -1.
The horizontal change between those two points is 6 -0 = 6
The slope is then -1/6.
__
The slope-intercept form of the equation of a line is often written as ...
y = mx + b
where "m" is the slope (-1/6), and "b" is the y-intercept.
Using the values we found above, the equation of the line is ...
y = -1/6x +2
Related Questions
Help me solve this please!!!
Answers
Answer:
Step-by-step explanation:
i don't know but i'll help u a little put the dots together for the first one then do it for the rest sorry if i didn't help u
Complete the statements about the graph.
units.
The length of the transverse axis is
is a focus of the hyperbola.
A vertex of the hyperbola is located at
Y
Answers
Answer:
16
(0,17)
(0,8)
Step-by-step explanation:
i got it right
The length of the transverse axis is the distance between the vertices of the hyperbola. A focus of the hyperbola is a fixed point from which distances to any point on the hyperbola have a constant difference. A vertex of the hyperbola is where it intersects its transverse axis.
Explanation:When analyzing graphs, it is crucial to understand the properties of the figures involved. In this case, we are discussing a hyperbola, which is a set of all points where the difference in the distances from two fixed points, called foci, is constant.
The length of the transverse axis of a hyperbola is the distance between its vertices. For an ellipse as shown in Figure 3.4 (b), the distance between the two vertices on the major axis is 2a, where a is the length of the semimajor axis. However, in the case of a hyperbola, the transverse axis would correspond to the axis that goes through the two vertices of the hyperbola.
A focus of the hyperbola is one of the two fixed points from which the difference in distances to any point on the hyperbola is constant. It is typically denoted as (h ± c, k) in the Cartesian coordinate system, where (h, k) is the center of the hyperbola and c is the distance from the center to each focus.
A vertex of the hyperbola is located at the point on the graph where the hyperbola intersects its transverse axis. This can be expressed as (h ± a, k) for a horizontal hyperbola or (h, k ± a) for a vertical hyperbola, where (h, k) is the center of the hyperbola and a is the length of the semimajor axis.
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if h= 11 units and r=4 units then what is the approximate volume of the cone
Answers
Answer:
V≈184.31
Step-by-step explanation:
V=πr2h
3=π·42·11
3≈184.30677
Answer:
184.31
Step-by-step explanation:
volume= pie time radius cubed time the height thats divided by 3
Part of the graph of the function f(x) = (x + 4)(x - 6) is shown below. which statement about the function are true? Select two options. - The vertex of the function is at (1,-25) - The Vertex of the function as at (1,-24) - The graph is increasing only on the interval-4< x < 6. - The graph is positive only on one interval, where x < -4. - the Graph is negative on the entire interval -4 < x < 6.
Answers
Answer:
Hya, The vertex of the function is at (1,-25) and the Graph is negative on the entire interval -4 < x < 6.
Step-by-step explanation:
1. the vertex of the function:
f(x)= (x + 4)(x - 6) = x^2 - 2x - 24
x₀= 2/2= 1 y₀= 1^2 - 2*1 - 24= -25
(1; -25)
2. the Graph is negative on the entire interval -4 < x < 6
Answer:
The vertex of the function is at (1,–25).
The graph is increasing only on the interval −4< x < 6.
Step-by-step explanation:
A and C on edg
If X = 7 units, Y = 11 units, Z = 15 units, and h = 4 units, what is the surface area of the triangular prism shown above?
A.
419 square units
B.
330 square units
C.
359 square units
D.
463 square units
Answers
Answer:
B. 330 square units
Step-by-step explanation:
[tex] \frac{1}{2} \times11 \times 4 \times 15 \\ = 11 \times 2 \times 15 \\ = 330 \: square \: units[/tex]
One integer is 5 more than another integer. Their sum is -13. What are the two integers?
Answers
Answer:
-4 and -9
Step-by-step explanation:
Let us use variables.
Let x = 5 + y
and x + y = -13
Now we can solve this problem.
x + y = -13
(5 + y) + y = -13
5 + 2y = -13
2y = -13 - 5
2y = -18
y = -9
x = 5 + -9
x = -4
The value of two integers are -4 and -9.
What is system of equation?A system of equations is a collection of two or more equations with a same set of unknowns. For a system to have a unique solution, the number of equations must equal the number of unknowns.
For the given situation,
Let x and y be the two integers.
The equations are
One integer is 5 more than another integer,
[tex]x = y+5[/tex] --------- (1)
Their sum is -13,
[tex]x+y = -13[/tex] ------- (2)
Now substitute the x value of equation 1 in equation 2,
⇒ [tex](y+5)+y=-13[/tex]
⇒ [tex]2y=-13-5\\[/tex]
⇒ [tex]y=\frac{-18}{2}[/tex]
⇒ [tex]y=-9[/tex]
Now substitute the y value of equation 1,
⇒ [tex]x=-9+5[/tex]
⇒ [tex]x=-4[/tex]
Hence we can conclude that the value of two integers are -4 and -9.
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What is the answer ???
Answers
Answer:
The Answer is B
Step-by-step explanation:
On a coordinate plane, a parabola opens up. It goes through (negative 3.25, 5), has a vertex of (1.7, negative 2.75), and goes through (6.25, 5). Solid circles appear on the parabola at (negative 3, 4), (0, negative 2), (1.5, negative 2.75), (3, negative 2), (6, 4).
Which is the rate of change for the interval between 3 and 6 on the x-axis?
–3
–2
2
3
Answers
Answer:
2 (c)
Step-by-step explanation:
The rate of change between 3 and 6 is 2 option (C) 2 is correct.
What is a parabola?It is defined as the graph of a quadratic function that has something bowl-shaped.
The question is incomplete.
The complete question is in the picture, please refer to the attached picture.
We have:
A graph of a parabola is shown in the table:
The rate of change between 3 and 6:
= (4 - (-2))/(6-3)
= (4 + 2)/(3)
= 6/3
= 2
Thus, the rate of change between 3 and 6 is 2 option (C) 2 is correct.
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Which type of angle is angle ABC
Answers
Answer:
I will say 90 degrees right angle. Have a great day.
Step-by-step explanation:
Nour and Rana are shopping for a Christmas tree. They are deciding between 2 different types of trees (real and fake) and 4 colors for the ornaments (white, silver, gold, and purple). They each created a display to represent the sample space of randomly picking a type of tree and a color for the ornaments. Whose display correctly represents the sample space? (Choice A) Nour only (Choice B) B Rana only (Choice C) C Both (Choice D) D Neither
Answers
Answer:
Both
Step-by-step explanation:
¿Cuál es el valor de i51
?
A.
−1
B.
−i
C.
1
D.
i
Answers
Answer: Option B.
Step-by-step explanation:
We want to find the value of i^51
We know that
i^1 = i
i^2 = -1
i^3 = -i
i^4 = 1
and it repeats with a period of 4, so i^5 = i^(1 + 4) = i^1= i, and so on.
so we can write it as:
x + n*4 = 51
where n is an integer number, and x is a number between 1 and 4.
clearly n must be an odd number, so we can try:
if x = 1.
1 + n*4 = 51
n*4 = 50
n = 50/4 = 12.5
This is not the solution for x, because n must be an integer number.
Now suppose x = 3.
3 + 4*n = 51
4*n = 48
n = 48/4 = 12
Then x is equal to 3, this means that:
i^51 = i^3*i^4*12 = i^3 = -i
The correct option is B
Consider two circular swimming pools. Pool A has a radius of 16 feet, and Pool B has a diameter of 9.94 meters. Complete the description for which pool has a greater circumference. Round to the nearest hundredth for each circumference. 1 foot ≈ 0.305 meters
Answers
Answer:
Pool B has the greater circumference.
Step-by-step explanation:
Pool A has a radius of 16 feet, and Pool B has a diameter of 9.94 meters.
We want to see which pool has a greater circumference.
The circumference of a circle is the distance around a circle or the total length of a circle, and it is given as:
[tex]C = 2\pi r[/tex]
where r = radius of the circle
So that our comparison can be accurate, let us put the dimensions of both pools in a single unit, metre.
The radius of pool A is 16 feet.
1 foot = 0.305 metres
16 feet = 4.88 metres
The radius of pool A in metres is 4.88 metres
CIRCUMFERENCE OF POOL A
[tex]C = 2 * \pi * 4.88 = 30.66 m[/tex]
CIRCUMFERENCE OF POOL B
[tex]C = 2 * \pi * 9.94 = 62.45 m[/tex]
As we can see, pool B has the greater circumference.
Answer:
Answer is on the picture below
Step-by-step explanation: the one that only says pool is pool B
Thank you! :)
Brad is putting an 8- foot diameter circular flower garden in his yard. He will put plastic edging along the flowerbed. How many feet of edging will Bear need to enclose his flower garden ?
Answers
what is the y- intercept of the line?
Answers
Answer:
Your Y-Intercept should be -2
Step-by-step explanation:
You always need to look at where the line starts according to the coordinate when X = 0, or when the dot is in the very middle line.
Therefore, we can see that it starts at "down two", also known as "-2"
Answer:
it is 2
Step-by-step explanation:
to find the Y-intercept of a line, first u should find the slope intercept form
slope intercept form : y=mx+b
m=slope
b= y-intercept
first u should find the slope, so pick two points from the line and write them in a form of y2-y1/x2-x1
point 1: (1,0)
point 2: (2,2)
0-2/2-1=-2/1
m=-2
now pick one of the two points and replace it in the equation with the slope
0=-2(1)+b
solve for b
0=-2+b
add 2 on both sides
b=2
ΔXYZ ≅ΔFED where m∠X = 50°, m∠Y=30°, m∠D=2y+10, XY =9 and EF=3x−12. Solve for x and y.
Answers
Answer:
The value of x is 7 and value of y is 45
Step-by-step explanation:
In ΔXYZ
∠X = 50°, ∠Y=30°
To Find ∠Z we will use angle sum property of triangle (Sum of all angles of triangles is 180°)
So,∠X + ∠Y + ∠Z = 180°
So,50°+30°+ ∠Z = 180°
∠Z=180°-80°
∠Z=100°
Now we are given that ΔXYZ ≅ΔFED
So, the corresponding sides are equal and the corresponding angles are equal.
So, ∠Z= ∠D
So, 100=2y+10
100-10=2y
90=2y
45=y
Now XY = EF
So, 9 = 3x-12
21=3x
7=x
Hence The value of x is 7 and value of y is 45
To find the area of a triangle, you can use the expression b times h divided by 2, where b is the base of the triangle and h is it’s height. What is the area of a triangle with a base of 8 and a height of 4?
Answers
Answer:
16 sq. units
Step-by-step explanation:
The formula for the area of a triangle:
A = 1/2bhIf base and height are known as:
b = 8 units and h = 4 unitsThen the area is:
A = 1/2*8*4 = 16 sq. unitsWhat sub category best fits the following words from list 2
Answers
Answer:
It is discovery verbs
Step-by-step explanation:
Answer: Organized contests
Step-by-step explanation:
When you go to a tournament or a pageant, it’s most likely an organized event.
The given sphere has a radius of 2 inches.
What happens to the volume if the radius is doubled?
lume of the new sphere is
than the volume of the original sphere.
times larger
Intro
Done
Answers
Answer: the correct answer is 8
Use the order of operations to find the value of the expression.
2+3*16-2*21-3
O A.5
O B.14
O C.35
O D.44
Answers
Answer:A. will be your answer
Step-by-step explanation:
By using the order of operations to find the value of the expression 2 + 3 × 16 − 2 × 21 − 3, we get; A. 5
What is BODMAS?The order is called BODMAS which stands for Bracket, Of, Division, Multiplication, Addition, Subtraction.
We need to use order of operations to solve the problem;
2 + 3 × 16 − 2 × 21 − 3
we will first carry out multiplication to get;
= 2 + 48 - 42 - 3
Next in addition to getting;
= 50 - 42 - 3
= 5
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$32 for 8lbs of meat.
What is the unit rate?
Answers
Final answer:
The unit rate for meat priced at $32 for 8 pounds is $4 per pound. This method of calculation is important in retail settings, such as butcher shops, where items need to be labeled with the correct price per unit.
Explanation:
The unit rate is calculated by dividing the total price by the number of pounds of meat to determine the price per pound. For $32 and 8lbs of meat, the calculation is $32 ÷ 8lbs, which equals $4 per pound.
This price is a simplified example of how goods are priced on a per unit basis. For instance, if we were discussing the price of fish, the price per pound at an equilibrium quantity may be $3.25 per pound, which is specific to the commercial market.
Real-world Application
Grocery pricing often includes bulk pricing, discounts, or access fees, and the final cost consumers pay can be represented in various unit rates, like $xx.xx/unit in some cases. It’s important for workers in retail settings, such as at a butcher shop or grocery, to understand these concepts to label and price items accordingly.
Cos -1 ( 1/2) is equal to
Answers
Answer:
It's equal to 0.4999238476
The value of Cos⁻¹(1/2) is π/3 radians or 60 degrees
To solve this:
Cosine function is positive in the first and fourth quadrants.
Cos(60°) = 1/2.
Cos⁻¹(1/2) = 60°.
In radians, this angle is π/3.
Therefore, the value of Cos⁻¹(1/2) is π/3 radians (or 60 degrees).
Kendra bought four boxes of donuts they were six donuts in each box she divided the donuts equally among eight people how many donuts to each person receive
Answers
Answer:
3
Step-by-step explanation:
Select the statements that are true.
1. Correlation coefficients must be between 0 and 1
2. Correlation coefficients must be between-1 and 1
3. A correlation coefficient of r-0.92 indicates a strong positive correlation.
4. A correlation coefficient of r -0.01 means there is no significant correlation.
5. A correlation coefficient of r--0.17 indicates a strong, negative correlation.
6. Correlation coefficient is a numeric measure of the strength and the direction between two quantative variables.
Answers
The true statements regarding correlation coefficients are explained.
Explanation:The statement that are true regarding correlation coefficients are:
Correlation coefficients must be between -1 and 1A correlation coefficient of r -0.92 indicates a strong positive correlationA correlation coefficient of r -0.01 means there is no significant correlationA correlation coefficient of r -0.17 indicates a strong, negative correlationCorrelation coefficient is a numeric measure of the strength and the direction between two quantitative variablesCorrelation coefficients must be between -1 and 1, with -1 indicating a perfect negative correlation, 1 indicating a perfect positive correlation, and 0 indicating no correlation.
Will give brainliest! please answer!
Answers
Answer:
B 5x = 25
Step-by-step explanation:
Please mark brainliest ;)
The Japanese 5 yen coin has a hole in the middle.
What are the possible ways to calculate the difference
between the distances from the outer edges and the
inner edges of the coin? Check all that apply.
22 mm
Subtract the two diameters and multiply by it
Calculate the circumference of the coin.
Add the two diameters and multiply by it
Subtract the circumference of the hole from the
circumference of the coin.
Calculate the radius of the hole.
5 mm
Answers
Answer:
Subtract the two diameters and multiply by 0.5
Step-by-step explanation:
Calculating the Radius of the hole gives distance to the inner edges WHILE the Radius of the coin gives us the distance to the outer edges.
By subtracting the output we can then get the difference between both distances.
If hole diameter = 5mm and coin diameter = 22mm
Difference = [(22 - 5)mm] ÷ 2
17mm / 2 = 8.5mm
Answer:
Subtract the two diameters and multiply by 0.5
Step-by-step explanation:
Calculating the Radius of the hole gives distance to the inner edges WHILE the Radius of the coin gives us the distance to the outer edges.
By subtracting the output we can then get the difference between both distances.
If hole diameter = 5mm and coin diameter = 22mm
Difference = [(22 - 5)mm] ÷ 2
17mm / 2 = 8.5mm
Step-by-step explanation:
Can you do this problem and show work
Answers
Answer:
[tex]2(3x+5)+5(2x+2)[/tex]
[tex]6x+10+5\left(2x+2\right)[/tex]
[tex]6x+10+10x+10[/tex]
[tex]16x+20[/tex]
[tex]8(3x+2)+7(x+3)[/tex]
[tex]24x+16+7x+21[/tex]
[tex]31x+37[/tex]
Choose the correct elevation for the peak shown.
Answers
Answer:600
Step-by-step explanation:
it’s the highest point
Which angles are alternate exterior angles.
Answers
A circle has a circumference of 25 meters. Find the length of an arc formed from a
central angle of 90°.
Answers
Answer:
If circumference = 25, then 90 degrees (one quarter of a circle) = 25 / 4 = 6.25 meters.
Step-by-step explanation:
Solve the quadratic equation: 6x^2-15x=0
Answers
Answer:
x=0
x=5/2
Step-by-step explanation:
6x^2-15x=0
x(6x-15)=0