Given:
A straight line goes through (-2,1), (0,0), and (2,-1).
To find:
The slope of the given line.
Solution:
Slope formula
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
Consider any two points from the given points.
The line goes through (-2,1) and (0,0). So, the slope of the line is
[tex]m=\dfrac{0-1}{0-(-2)}[/tex]
[tex]m=\dfrac{-1}{2}[/tex]
Therefore, the slope of the line is [tex]m=-\dfrac{1}{2}[/tex].
Answer:
its 2/3
Step-by-step explanation:
Help me please I give brainliest and be serious
Answer:
y=120
Step-by-step explanation:
y=0.75x-0.15x
x=200
y=0.75x200-0.15x200
y=150-30
y=120
I hope this helps :D
Find the volume of the cone that sits on top of the cylinder
Answer:
Vc = (π/3)✓17 ≈ 4.12 ft³
Step-by-step explanation:
h = ✓(4²+1²)
h = ✓17
V = πr²h/3
V = π(1)²✓17/3
V = (π/3)✓17 ≈ 4.12
The midpoints of the hexagon are connected to form another hexagon, this pattern continues indefinitely. If the area of the 99th hexagon formed by this pattern is 1, what is the area of the original hexagon?
Answer:
(4/3)⁹⁸ units²Step-by-step explanation:
Regular hexagons have a property that cutting off the triangles obtained by joining the midpoints of consecutive sides leaves a hexagon of 3/4 of the area.This means the area of each hexagon inside out starting from the one with unit area is 4/3 of the previous one.
99 ⇒ 198 ⇒ 1*4/397 ⇒ 1*(4/3)²...1 ⇒ (4/3)⁹⁹⁻¹The original hexagon has the area of:
(4/3)⁹⁸ units²Answer:
(4/3)^98units.
Step-by-step explanation:
By hexagonal property in which cut off the triangles obtained be the joining of m.p of adjacent sides which left 3/4 of total area.
Plz I need this question quick! I don't understand it.
Find the area of the figure.
1 A can in the shape of a cylinder has a diameter of 6 centimeters and a height of 10
centimeters. Which measurement is closest to the total surface area of the can in
square centimeters?
Answer:
radius r = 3 cm
height h = 10 cm
volume V = 282.743339 cm^3
lateral surface area L = 188.495559 cm^2
top surface area T = 28.2743339 cm^2
base surface area B = 28.2743339 cm^2
total surface area A = 245.044227 cm^2
In Terms of Pi π
volume V = 90 π cm3
lateral surface area L = 60 π cm^2
top surface area T = 9 π cm^2
base surface area B = 9 π cm^2
total surface area A = 78 π cm^2
Step-by-step explanation:
Cylinder Formulas in terms of r and h:
Calculate volume of a cylinder:
V = πr2h
Calculate the lateral surface area of a cylinder (just the curved outside)**:
L = 2πrh
Calculate the top and bottom surface area of a cylinder (2 circles):
T = B = πr2
Total surface area of a closed cylinder is:
A = L + T + B = 2πrh + 2(πr2) = 2πr(h+r)
Agenda: r = radius
h = height
V = volume
L = lateral surface area
T = top surface area
B = base surface area
A = total surface area
π = pi = 3.1415926535898
√ = square root
The value of Surface Area of the cylinder is 245.04 cm².
What is Surface Area of a shape ?Surface area is the amount of space covering the outside of a three-dimensional shape.
It is given that the cylinder has
radius r = 3 cm
height h = 10 cm
volume V of the cylinder = πr²h = 282.74 cm³
the lateral surface area of a cylinder
L = 2πrh
lateral surface area L = 188.495559 cm²
the top and bottom surface area of a cylinder (2 circles):
T = B = πr²
top surface area T = 28.2743339 cm²
base surface area B = 28.2743339 cm²
Total surface area of a closed cylinder is:
A = L + T + B = 2πrh + 2(πr2) = 2πr(h+r)
total surface area A = 245.044227 cm²
total surface area A = 78 π cm²
Therefore the value of Surface Area of the cylinder is 245.04 cm².
To know more about Surface Area
https://brainly.com/question/2835293
#SPJ5
Without looking, Luke picks necklace beads from a bag of 52 beads. Half the beads are rough. The other half are smooth. There are 13 red beads, 13 blue beads, 13 green beads, and 13 black beads.
What is the theoretical probability of selecting a rough bead? Write the probability as a fraction in simplest form.
Answer:
i
Step-by-step explanation:
Answer:
1/2
Step-by-step explanation:
26/52 simplifies to 1/2
Use distributive property to remove the parenthesis for:
(1-y+x)(-6)
Answer:
Step-by-step explanation:
Multiply -6 to the first bracket so it would be
-6+6y-6x This is the answer
Lucas is planting grass on the shaded portions of the yard. What will be the total area covered by grass?
Complete Question:
Lucas is planting grass on the shaded portions of the yard. What will be the total area of covered by grass? Fill in the missing.
Part A= 12 x ? = ? ft²
Part B= 0.5 x ? x 9 = ?ft²
Part C= 0.5 x 7 x ? = ?ft²
Total Area= ?ft²
Answer:
[tex]A = 108ft^2[/tex]
[tex]B = 27ft^2[/tex]
[tex]C = 24.5ft^2[/tex]
[tex]Area = 159.50ft^2[/tex]
Step-by-step explanation:
Given
See attachment
From the attachment;
Part A is a rectangle with dimension 9ft by 12ft
So,
[tex]A = 12ft * 9ft[/tex]
[tex]A = 108ft^2[/tex]
Part B is a triangle with dimension: height = 6 and base = 9
The height is calculated as:
[tex]Height = 12ft - 6ft = 6ft[/tex]
And the base is:
[tex]Base = 18ft - 9ft = 9ft[/tex]
So, the area is:
[tex]B = 0.5 * 6ft * 9ft[/tex]
[tex]B = 27ft^2[/tex]
Part C is a triangle with dimension: height = 7 and base = 7
So, the area is:
[tex]C = 0.5 * 7 * 7ft^2[/tex]
[tex]C = 24.5ft^2[/tex]
Total Area is:
[tex]Area = A + B + C[/tex]
[tex]Area = 108ft^2 + 27ft^2 + 24.5ft^2[/tex]
[tex]Area = 159.50ft^2[/tex]
12. 14.5% of 90 is n. The value of n is 15.
Answer:14.5% of 19 is 13.05, so the value of n would actually be 13.05
HELP please my friend needs help with his MATH homework, see picture for problem TY :)
What is the value of x4+0.5y3when x=2 and y=4?
Answer:
14
Step-by-step explanation:
PLEASE HELP ME!!!! HOW DO I GRAPH THIS??????
Answer:
draw the picture then put a box around it and label the body parts and that fun stuff
Find the measure of 46.
70*110°
46
o
66 = [?]
Answer:
angle 6 is equal to 70° vertically opposite angle on the same side of transeversal.
help me please, please
use the table to predict the number of times you spin 5 when you spin the spinner 100 times
Answer:
14
Step-by-step explanation:
Add all values in "Times spun".
9 + 11 + 7 + 9 + 7 + 7
= 50
The spinner was spun a total of 50 times in the table.
We are looking for information if the spinner is spun 100 times, which is double of 50.
To predict information for spinning 100 times, double the data given in the table.
# of times "5" was spun for 50 spins (in table): 7
Double 7:
7 * 2 = 14
# of times "5" will likely be spun for 100 spins: 14
Or, solve using proportions:
The proportions are given in: (times "5" was spun)/(total spins)
[tex]\frac{7}{50} = \frac{?}{100}[/tex]
Since you double 50 to make 100, double 7 to solve for "?"
[tex]\frac{7}{50} = \frac{14}{100}[/tex]
∴ if you spin the spinner 100 times, you will spin "5" 14 times.
Answer:
14
Step-by-step explanation:
7 * 2 = 14
Fernando has 22 coins consisting of nickels and dimes in his pocket,
The total value of the coins is $1.70
which system of equations can be used to determine the number of
nickels, n, and the number of dimes, d, in his pocket? ANSWER CHOICES IS IN THE PICTURE
Answer:
the lat one should be the right answer
Step-by-step explanation:
The equation that can be used to represent the situation will be:
0.05n + 0.10d = 1.70n + d = 22Let the number of nickels be represented by n.
Let the number of dimes be represented by d
Therefore, since Fernando has 22 coins consisting of nickels and dimes in his pocket and the total value of the coins is $1.70.
The equation that can be used to represent the situation will be:
0.05n + 0.10d = 1.70
n + d = 22
Read related link on:
https://brainly.com/question/17360719
133 is a whole number. true or false
Answer:true
Step-by-step explanation:
(5,2) & (-3, 6)
questions said slope intercept form
write the equation of the line that passes through the two Points
Answer:
-1/2x + 4.5
Step-by-step explanation:
Find out the slope by substituting the values in the formulas.
y2 - y1 / x2 - x1 6 - 2 / -3 - 5
-1/2
Now find the y-intercept.
y = mx + b
6 = -1/2 (-3) + b
6 = 3/2 + b
9/2 = b
[4 ×{ 3 - ( 2- 1/3 )}]
The graph of a quadratic equation in two variables whose axis of symmetry is parallel to the y axis is a parabola.
Select one:
True
False
Answer:
The correct option is;
False
Step-by-step explanation:
The equation of the graphs of conic sections (all of which can have axis of symmetry that can be oriented parallel to the y-axis) includes;
Circle; (x - h)² + (y - k)² = r²
Parabola; y = a·(x - h)² + k
[tex]Ellipse; \dfrac{(x - h)^2}{a^2} + \dfrac{(y - k)^2}{b^2} = 1[/tex]
[tex]Hyperbola; \dfrac{(x - h)^2}{a^2} + \dfrac{(y - k)^2}{b^2} = 1[/tex]
The graph of a quadratic equation in two variables whose axis of symmetry is parallel to the y-axis can be either a circle, a parabola, an ellipse, or an hyperbola
Therefore, the graph may not be the graph of a parabola and the statement is false
Answer:
The correct answer is True
Step-by-step explanation:
I took the quiz and got it right.
What is the image point of (7,0) after a translation right 2 units and up 1 unit?
Answer: (9,1)
Step-by-step explanation: This is because x (7) moves left and right, and y (0) moves up and down. the formula would be (x, y) --->(x+2, y+1)
64 Books on 4 Shelves how maany books per Shelf?
Answer:
256
Step-by-step explanation:
Answer:
16 is the answer because 64/4 is 16 so 16*4 is 64 meaning that there are 16 books on each shelf
Step-by-step explanation:
hope this helped
Help need to know the cross section shape
Answer:
Step-by-step explanation:
Rectangle
solve 2x = 1/32
1/5
5
-5
X^(2)+8=5 exponent of variable in this equation is
Answer:
The exponent of the variable of this equation is 2.
And here's the solution to the equation:
[tex]x^{2} +8=5[/tex]
[tex]x^{2} = 5 - 8[/tex]
[tex]x^{2} = -3[/tex]
[tex]x[/tex] ∉ R
What number should go into the blank so that the two expressions are equivalent to each other?
4(4b + 17c) = __b + 68c
A rectangular prism has a width of x^2 inches, A length of xy^2 inches, and a height of y^2 inches. Which expression represents the volume in cubic inches of this rectangular prism
Answer:
[tex]Volume = x^3y^4[/tex]
Step-by-step explanation:
Given
[tex]Length = xy^2[/tex]
[tex]Height = y^2[/tex]
[tex]Width = x^2[/tex]
Required
Determine the volume
The volume is calculated as:
[tex]Volume = Length * Width * Height[/tex]
[tex]Volume = xy^2 * x^2 * y^2[/tex]
This gives:
[tex]Volume = x^3y^4[/tex]
Sofia is 4 years younger than Mark. David is 7 years older than Mark. How old will Sofia be when David is 30 years old? please answer
Answer:
Sofia will be 19 years old
Step-by-step explanation:
First:
What know that David is 30 right now.
David=30
We also know that David is 7 years older than Mark, meaning that David-7=Mark
30-7=23 -Mark
And last we know that Mark is 4 years older than Sofia So we would do 23-4 to get Sofia age,
23-4=19 -Sofia
So in conclusion...
SOFIA: 19
MARK: 23
DAVID: 30
What is the equation of the blue line?
Answer:
y = (1/2)x + 2
Step-by-step explanation:
it is a straight line so it will be in the form of y = mx + c
m = gradient, c = y intercept
Reading from graph it cuts the y-axis at 2,
so c = 2
to find gradient we can pick any 2 points on the line,
e.g (0,2) and (10,7)
gradient = (y1 - y2) / (x1 - x2) = (7 - 2) / (10 - 0)
= 1/2
so the equation is y = (1/2)x + 2
Using slope intercept formula, the equation of the blue line
y = (1/2)x + 2.
What is slope intercept?The slope intercept form is one of the form to represent" equation of the straight iine".
According to the question,
The graph intercept the y-axis at 2.
Slope intercept formula, y = mx + c where m = slope of the line, c = y- intercept of the line, x, y as variable.
From given, y-intercept, c = 2.
To find slope of the line take any two points on the line (0,2) and (10,7).
Formula to find slope of the line m = (y₁ -y₂)/(x₁ - x₂).
m = (2-7)/(0-10)= [tex]\frac{1}{2}[/tex]
Hence, the equation of the blue line y = (1/2)x + 2.
Learn more about Slope intercept form here
https://brainly.com/question/12425007
#SPJ2
Find the slope of the line
Answer:
the answer is 0
Step-by-step explanation: