The signs of x and y depend on the quadrant the point is located in, guiding whether each value is positive or negative.
The signs of the values of x and y depend on which side of the origin point P lies. When a point is in the first quadrant, both x and y values are positive.
In the second quadrant, x is negative, and y is positive.
In the third quadrant, both x and y are negative, while in the fourth quadrant, x is positive, and y is negative.
Determine if the following system of equations has no solutions, infinitely many
solutions or exactly one solution.
x + 6y = -5
3x + 18y = -15
Answer:
infinitely many solutions
Step-by-step explanation:
x + 6y = -5
3x + 18y = -15
Multiply the first equation by 3
3(x + 6y) = -5*3
3x + 18y = -15
The two equations are identical. This means they have infinite solutions along the line x+6y = -5
What is the approximate volume of the cylinder?
Answer:
The result for the volume of the cylinder:
[tex]V \approx452.389[/tex]
Step-by-step explanation:
-To find the volume of a cylinder, you need the formula:
[tex]V = \pi r^2 h[/tex]
-Use the radius and the height for the formula:
[tex]V = \pi 4^2 9[/tex]
-Then, you solve:
[tex]V = \pi 4^2 9[/tex]
[tex]V = \pi[/tex] × [tex]4^2[/tex] × [tex]9[/tex]
[tex]V = \pi[/tex] × [tex]16[/tex] × [tex]9[/tex]
[tex]V = \pi[/tex] × [tex]V = 144\pi \approx 452.389[/tex]
So, therefore, the volume is [tex]452.389[/tex] .
A parabola has a vertex at (-3,2). Where is the axis of symmetry?
Answer:
The axis of symmetry of the parabola with a vertex at (-3, 2) is at
x = -1/2
Step-by-step explanation:
Given a quadratic function (parabola) of the form:
y = ax² + bx + c
The axis of symmetry of the function is a vertical line that divides the parabola into two congruent halves. The x-coordinate of the vertex is the equation of the axis of symmetry of the parabola.
This is given as x = -b/2a
We are given a parabola with vertex at (-3, 2). The quadratic function corresponding to this is
y = (x -(-3))(x - 2)
= (x + 3)(x - 2)
= x² - 2x + 3x - 6
y = x² + x - 6
Here, a = 1, b = 1, and c = -6
The axis of symmetry is at
x = -b/2a
= -1/2(1)
= -1/2
The axis of symmetry of the given parabola should be [tex]y-2=m(x+3)[/tex] for all cases. And, for horizontal and vertical orientation, the equation of the axis of symmetry should be y=2 and x=-3, respectively.
Given information:
The parabola has vertex at (-3,2).
It is required to get the axis of the parabola.
In general, the parabola with vertex (3,2) can have any axis of symmetry based on the orientation of the parabola. The only condition is that the axis must pass through the point (3,2).
The general equation of the axis of symmetry with slope m (orientation) should be,
[tex]y-(2)=m(x-(-3))\\y-2=m(x+3)[/tex]
So, the general equation of the axis of symmetry of the given parabola should be [tex]y-2=m(x+3)[/tex].
In normal cases, the orientation of the parabola is either horizontal or vertical.
In case of vertical orientation, the slope should be infinite or 1/0. So, the equation of axis will become,
[tex]0(y-2)=(x+3)\\x=-3[/tex]
In case of horizontal orientation, the slope should be infinite or 1/0. So, the equation of axis will become,
[tex](y-2)=0(x+3)\\y=2[/tex]
Therefore, the axis of symmetry of the given parabola should be [tex]y-2=m(x+3)[/tex] for all cases. And, for horizontal and vertical orientation, the equation of axis of symmetry should be y=2 and x=-3, respectively.
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Melanie is very concerned with avoiding late fees. The table shows her choices for paying her bills. Method Bill Payment Methods 1 Pay by check 2 Pay online 3 Set up automatic payments 4 Pay by telephone Which method should she use to pay her bills? Enter the response using the corresponding method number.
Answer:
3
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
Solve by taking the square root of both sides.
3(x+ 3)^2 - 81 - 0
Answer:
x = 2.20
Step-by-step explanation:
3(x+3)^2 = 81
(x+3)^2 = 81/3
(x+3)^2 = 27
x+3 = 5.20
x = 5.20 - 3
x = 2.20
Answer:
a
Step-by-step explanation:
Given
3(x + 3)² - 81 = 0 ( add 81 to both sides )
3(x + 3)² = 81 ( divide both sides by 3 )
(x + 3)² = 27 ( take the square root of both sides )
x + 3 = ± = ± 3 ( subtract 3 from both sides )
x = - 3 ± 3
x = - 3 - 3 or x = - 3 + 3 → a
Please help I’ll give brainliest !! :(
Answer:
a) 9/20 or 45%
b) 2/5 or 40%
c) Answer choice 1
Step-by-step explanation:
a) During Linda's experimentation, she spinned the spinner a total of 18+14+8=40 times. Out of those, 18 landed on grey. Based on her results, the experimental probability is 18/40=9/20 or 45%.
b) Assuming the spinner is fair, since there are 5 total possible colors to land on and 2 of them are gray, the probability is 2/5 or 40%.
c) As time goes on and the spinner is spinned more and more often, it will continue to approach the theoretical probability, because that is the likelyhood every time that the arrow lands on grey. Hope this helps!
Program the VR Robot to drive forward 6 grid squares, turn around, and drive back 6 grid squares. How many degrees did you have to turn to face the way you came? What is the total distance traveled? Use a calculator and/or pencil and paper to find out.
Final answer:
The VR Robot will need to turn 180 degrees to face the original direction after driving forward 6 grid squares. It then drives back the same distance, totaling 12 grid squares or units of distance traveled.
Explanation:
To program a VR Robot to drive forward 6 grid squares, turn around, and drive back 6 grid squares, we need to calculate the total degrees turned and the total distance traveled. When turning to face the way it originally came from, the robot will need to turn 180 degrees.
This is because a half-circle, or a complete about-face turn, is 180 degrees. For the total distance traveled, if each grid square is a standardized distance (let's assume 1 unit distance per grid square), then driving forward 6 grid squares and back would accumulate a total of 12 grid squares or units.
The total distance traveled by the VR robot is 12 units. Turning around to face the original direction is simply a 180-degree turn, whether this is done to the left or to the right.
The box plots represent heights of students on two sports teams. Which of these inferences can you make? Students on the wrestling team tend to be taller than students on the swim team. Students on the swim team tend to be taller than students on the wrestling team. Students on the wrestling team have less variability in heights than students on the swim team. Students on the swim team have more variability in heights than studen
Answer:
B
Step-by-step explanation:
i did it on egunity i know u hate it as much as i do....
Answer:
B
Step-by-step explanation:
Brainliest for the correct answer!
Answer:
can u take another picture
Step-by-step explanation:
Find the volume of a rectangle with a base of 1/4 a height of 4/2 with a width of 1/4
Answer:
1/8
Step-by-step explanation:
Volume is base times width times height. 4/2x 1/4x 1/4= 1/8
joe ran half the distance that Phil did. If the distance that Phil ran is represented by r, which expression represents the distance that Joe ran?
Answer:
r/2
Step-by-step explanation:
Answer:
r/2
Step-by-step explanation:
What is the volume of the gift shown? Enter your answer in the box. Box with height as 14! in. and the area of base is given as 80 square in. Please answer!
Answer: there is no picture so can you eidt it and show it please
Step-by-step explanation:
Violet is making a rectangular banner for the basketball team to run through before the start of the game. She has 24 square feet of paper. List all of the possible dimensions of rectangles with an area of 24 square feet.
Answer:
1 x 24 = 24
2 x 12 = 24
3 x 8 = 24
4 x 6 = 24
if the dimensions are whole numbers
Step-by-step explanation:
The possible dimensions for a rectangular banner with an area of 24 square feet are 1 ft x 24 ft, 2 ft x 12 ft, 3 ft x 8 ft, and 4 ft x 6 ft.
The question asks us to list all possible dimensions of rectangles that can be made with an area of 24 square feet. Rectangles with the same area can have different dimensions if the length and width are factor pairs of the area. For 24 square feet, we look for pairs of numbers that multiply to give us 24.
1 ft x 24 ft
2 ft x 12 ft
3 ft x 8 ft
4 ft x 6 ft
These are all the combinations of whole number dimensions that would result in an area of 24 square feet for the banner.
Which of these is not an equation? A 3b = 5 B 43(4x + 7y) C 78 = 3p - 37 D a - 17 = 1,825,026
Answer:
B
Step-by-step explanation:
When they say equation that means that something is EQUAL to something else. So, when there is no equal sign, there is no equation. All but B have an equal sign so they are equations.
Though B, does not have an equal sign it is just an expression.
The option B 43(4x + 7y) is not an equation; it is an expression
How to determine which is not an equation?From the question, we have the following parameters that can be used in our computation:
The list of options in relation to equations
By definition
Equations are expressions represented by the "=" symbol where all sides of the symbol are equal
Using the above as a guide, we have the following:
A 3b = 5 --- True
B 43(4x + 7y) --- False; it is an expression
C 78 = 3p - 37 --- True
D a - 17 = 1,825,026--- True
Hence, B 43(4x + 7y) is not an equation
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find the distance between (4, -5) and (-4, -5) on the coordinate plane
Answer:
x difference is 8
Step-by-step explanation:
Y values are the same so just find the difference in -4 and 4
The price of a television is $245. The sales tax rate is 8%. What is the amount of the sales tax?
$25.30
$19.60
$253.00
$196.00 PLEASE ANSWER I NEED HELP
Answer:
$19.60
Step-by-step explanation:
Take the amount and multiply by the tax rate to determine the sales tax
tax = 245 * 8%
Change to decimal form
tax =245*.08
= 19.60
Answer:
$19.6
Step-by-step explanation:
8% of 245
8/100 × 245
19.6
In Daniel’s fifth grade class, 37.5% of the 24 students walk to school. One third of the walkers got a ride to school today from their parents. How many walkers got a ride to school from their parents today?
Answer: 37.5% of 24 = (9)
The number of students is an illustration of proportions
9 students that got a ride
How to determine the number of walkersFrom the question, we have:
Total = 24
37.5% of the 24 students walk to school.
So, the number of students that walk to school is:
Students = 37.5% * 24
Students = 9
One third of the walkers got a ride to school today from their parents.
So, the number of students that got a ride is:
Ride =1/3 * 9
Ride = 3
Hence, the number of students that got a ride 3
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I need help solving this.
(6e−3f−4)⋅2=?
Answer:
− 6 f + 12 e − 8
Step-by-step explanation:
Answer:
12e-6f-8
Step-by-step explanation:
You just multiply what is in parenthesis by 2.
When you go to the store, does tax increase or decrease the cost of your items?
Answer:
It increases the cost of your items
Step-by-step explanation:
Answer:
It increases
Step-by-step explanation:
Well tax is used to help pay for school and other government regulated actions so it wouldn't make sense to lower the price.
What are the roots of the graph below?
Which equation can be used to find the surface area of the cylinder?
r = 4 in.
h = 16 in.
O S- 2x(4)? + 2 x(4)(16)
OS-25(8)2 + 2x{8)(16)
• S=28(16)2 + 2x{16)(4)
© S-2(4) + 2(4)(16)
Step-by-step explanation:
Surface Area of the Cylinder
= 2πr² + 2πrh
r = 4 in
h = 16 in
Surface Area :
= 2πr² + 2πrh
= 2π (4)² + 2π (4) (16)
Hope it helpful and useful :)
The correct equation to find the surface area of the cylinder is,
⇒ 2 π × 4 × 16 + 2π × 4²
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
For a cylinder,
r = 4 in.
h = 16 in.
Now, We know that;
its surface area is,
⇒ 2π r h + 2π r²
Hence, The correct equation to find the surface area of the cylinder is,
⇒ 2 π × 4 × 16 + 2π × 4²
⇒ S = 128π + 32π
⇒ S = 160π
Thus, The correct equation to find the surface area of the cylinder is,
⇒ 2 π × 4 × 16 + 2π × 4²
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The area of a rectangle is 14 square units. It has side lengths x and y. Given each value for x, find y.
To find the value of y, given the area of a rectangle and its side lengths x and y, divide the area by x to find y.
Explanation:To find the value of y, given the area of a rectangle and its side lengths x and y, we can set up the equation:
x * y = 14
To solve for y, we need to rearrange the equation and isolate y:
y = 14 / x
This equation shows that y is equal to the area of the rectangle divided by x. By plugging in different values for x, we can calculate the corresponding values of y.
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Find the slope of the line that passes through (6, 9) and (8,6).
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Answer:
-3/2
Step-by-step explanation:
will mark as brainlest PLz help
Answer:
27[tex]\pi[/tex] OR 84.78
Step-by-step explanation:
find the area using the formula [tex]\pi r^{2}[/tex] and multiply it by [tex]\frac{3}{4}[/tex] because it is three fourths of a circle
The 4 zeroes in 10,000 tell me to move the decimal 4 places to the right
Answer:
True
Step-by-step explanation:
It has four zero's to the right of the decimal point
This pizza has a radius of 4 inches . Which measurement is closest to the area of this pizza in inches?
John and Becky measured the circle shaped part of a Son they drew on the sidewalk the diameter of the circle is 55 cm what is the approximate Area of the circle?
Answer:
Area = 2375.83
Step-by-step explanation:
[tex]Area=\pi r^{2} \\Radius = Diameter/2\\r=55/2\\r=27.5\\Area=\pi(27.5)^{2} \\Area=2375.83[/tex]
Determine the intercepts of the line
Answer:
y= (0,-32) x=(16/5,0)
Step-by-step explanation:
To find the x-intercept, substitute in 0 for y and solve for x. To find the y-intercept, substitute in 0 for x and solve for y.
x-intercept(s): (16/5,0)
y-intercept(s): (0,−32)
The graph of an arithmetic sequence is shown. What is the value of the third term?
4.5
1.5
2
6
Answer:
4.5
Step-by-step explanation:
It's the right answer 2 is wrong.
The value of the third-term arithmetic sequence will be 4.5. Then the correct option is A.
What is an arithmetic sequence?A series of integers called an arithmetic succession or arithmetic chain of events has a fixed difference between the terms.
Let a₁ be the first term and d be a common difference.
Then the nth term of the arithmetic sequence is given as,
aₙ = a₁ + (n - 1)d
From the graph, the first term is 1.5 and the common difference is given as,
d = 3 - 1.5
d = 1.5
Then the arithmetic equation is given as,
aₙ = 1.5 + (n - 1)(1.5)
The value of the third term will be given as,
a₃ = 1.5 + (3 - 1)(1.5)
a₃ = 1.5 + 3
a₃ = 4.5
The value of the third-term arithmetic sequence will be 4.5. Then the correct option is A.
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Find the HCF of 85 and 153.
Answer:
17
Step-by-step explanation:
85 div 17 = 5
153 div 17 = 9
No higher number
Answer:
17
Step-by-step explanation:
factors of 85 : 1, 5, 17,85
factors of 153 :1 , 3 , 9 , 17, ..
HCF = 17