Answer:
[tex]y=2x-2[/tex]
Step-by-step explanation:
Hi there!
Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)
1) Determine the slope (m)
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex] where the two points are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]
Plug in the given points (0,-2) and (2,2)
[tex]=\frac{2-(-2)}{2-0}\\=\frac{2+2}{2}\\=\frac{4}{2}\\=2[/tex]
Therefore, the slope of the line is 2. Plug this into [tex]y=mx+b[/tex] as m:
[tex]y=2x+b[/tex]
2) Determine the y-intercept (b)
[tex]y=2x+b[/tex]
Plug in one of the given points and solve for b
[tex]2=2(2)+b\\2=4+b[/tex]
Subtract 4 from both sides to isolate b
[tex]2-4=4+b-4\\-2=b[/tex]
Therefore, the y-intercept of the line is -2. Plug this back into [tex]y=2x+b[/tex]
[tex]y=2x-2[/tex]
I hope this helps!
Hannah ordered a pizza. it was divided in 8 equal slices. Hannah ate two slices right away and another slice before bed. what friction of the pizza did she eat?
Answer:
3/8
Step-by-step explanation:
8 slices
she ate 2 and then another
3 in total
The triangles are similar, find the length of the unknown side. Round your answers to the nearest tenth (0.1), if necessary.
please help me
Answer:
[tex]22[/tex]
Step-by-step explanation:
Similar shapes must have corresponding sides in a constant proportion. Therefore, we can set up the following equation and solve for [tex]?[/tex]:
[tex]\frac{28}{42}=\frac{?}{33}[/tex] (divide corresponding sides)
[tex]\frac{28}{42}=\frac{?}{33},\\\\?=\frac{28\cdot 33}{42}=\boxed{22}[/tex]
Write in standard form: forty-seven hundredths
Answer:
0.47
Step-by-step explanation:
0.47
47 hundredths is equal to 0.47.
If this helps please mark as brainliest
Answer:
The standard form of forty-seven hundredths is 0.47.
Step-by-step explanation:
Have a nice day! :-)
TeamRocket3
A car travels a distance of 360 km in a time of 3 hours.
What is the car's average speed?
Answer:
convert km into m
1 km=1000m
360 km=1000*360m
=360000m
again,convert 3 hours into seconds
3 hours=60*60*3
=10800 second
average spped=total distance /time taken
=360000/10800
=33.33 m/s
Step-by-step explanation:
1.
For the graph of the function, identify the axis of symmetry, vertex and the formula for the function.
A. Axis of symmetry: x = –0.5; Vertex: (–0.5, 0.75); f(x) = –x2 + x
B. Axis of symmetry: x = –0.5; Vertex: (–0.5, 0.75); f(x) = x2 + x + 1
C. Axis of symmetry: x = –0.5; Vertex: (–0.5, –0.75); f(x) = x2 – x + 1
D. Axis of symmetry: x = –0.5; Vertex: (–0.5, 0.75); f(x) = x2 + 2x + 1
Answer:
D. Axis of symmetry: x = –0.5; Vertex: (–0.5, 0.75); f(x) = x2 + 2x + 1
Step-by-step explanation:
A. Graph the parabola using the direction, vertex, focus, and axis of symmetry.
Direction: Opens Down
Vertex:
( 1 /2 , 1 /4 )
Focus:
( 1 /2 , 0 )
Axis of Symmetry:
x
=
1
2
Directrix:
y
=
1
2
x
y
− 2
− 6
− 1
− 2
1
2
1
4
1
0
2
− 2
B. Graph the parabola using the direction, vertex, focus, and axis of symmetry.
Direction: Opens Up
Vertex:
( − 1 /2 , 3 /4 )
Focus:
( − 1 /2 , 1 )
Axis of Symmetry:
x
=
−
1
2
Directrix:
y
=
1
2
x
y
− 2
3
− 1
1
− 1
2
3
4
1
3
2
7
C. Graph the parabola using the direction, vertex, focus, and axis of symmetry.
Direction: Opens Up
Vertex:
( 1 /2 , 3 /4 )
Focus:
( 1 /2 , 1 )
Axis of Symmetry:
x
=
1
2
Directrix:
y
=
1
2
x
y
− 2
7
− 1
3
1
2
3
4
1
1
2
3
D. Graph the parabola using the direction, vertex, focus, and axis of symmetry.
Direction: Opens Up
Vertex:
( − 1 , 0 )
Focus:
( − 1 , 1 /4 )
Axis of Symmetry:
x
=
− 1
Directrix:
y
=
− 1
4
x
y
− 3
4
− 2
1
− 1
0
0
1
1
4
Simplify the expression. Write your answer in positive exponent form:
(1/4) ^3 x (1/4) ^7
Answer:
1/4¹⁰
Step-by-step explanation:
this is the the simplified version for the question
please hurry i need this done asappppp
Answer:
11,25
Step-by-step explanation:
All I need to know is what X is for this problem
Answer:
x = 19°
Step-by-step explanation:
We know that ∠UTV and ∠RTS are vertical angles, therefore is the measure of ∠UTV = 85, then the measure of ∠RTS would also be 85, by the "Vertical angles are congruent theorem.
=> ∠UTV ≅ ∠RTS
=> ∠UTV = 85°
=> ∠RTS = 85°
Now that we know all three angles of within the triangle, we can say that the sum of all three angles within the triangle is 180, we can conclude;
∠R + ∠T + ∠S = 180°
(3x) + (85°) + (2x) = 180°
5x + 85° = 180°
5x = 180° - 85°
5x = 95
x = 95/5
x = 19°
Hence, there is you're answer! x = 19°
Hope this helps!
Find the value of:x^0+3
Answer:
4
Step-by-step explanation:
x^0 means 1. so 1+3=4
5w-8/3 =4w+2
Please solve with steps
Answer:
5w-8/3=4w+2
-8/3=-1w+2
-8=-1w+6
-14=-1w
14=w
Hope this helps, have a great day :)
A rectangular prism has a length of 6 inches, a height of 7 inches, and a width of 10
inches. What is its volume, in cubic inches?
Answer:
420
Step-by-step explanation:
just multiply all the numbers together
Answer: 420 cubic inches
Step-by-step explanation:
Use the formula V = lwh to solve.
V = L * W * H
V = 6 * 7 * 10
V = 420 cubic inches
Find the volume of each figure. Simplify your answers.
Please help ASAPPPP
thank you so much!!!!
Answer:
[tex]98.28\:\mathrm{ft^3}[/tex]
Step-by-step explanation:
The volume of a rectangular prism is given by [tex]V=l\cdot w\cdot h[/tex], where [tex]l[/tex] is the length of the prism, [tex]w[/tex] is the width of the prism, and [tex]h[/tex] is the height of the prism.
Substituting given values, we get:
[tex]V=2.5\cdot 4.25\cdot 9.25=98.28125\approx \boxed{98.28\:\mathrm{ft^3}}[/tex]
Since "Simplify your answers" is very subjective, I've rounded to the nearest hundredth as that is reasonably universal, but you may need to adjust the rounding as desired.
I need help immediately, you’ll receive brainlest if answered correctly!!!
Answer: 120
Step-by-step explanation:
Answer:
120°
Step-by-step explanation:
Carlos bought a new skateboard for $99.46 and a helmet and pad for $73.49. How much did Carlos spend in all?
I nee it done today
Answer:
Step-by-step explanation:
173
Molly and her friends just dined at a restaurant and left a tip of $20.54, which was equal to exactly 30% of the total bill. What was the total bill in dollars? Round your answer to two decimal places.
Answer:
68.47
Step-by-step explanation:
30%=0.3
20.54/0.3=68.4666……
6 $44 is shared between David, Jo and Mary in the ratio 2:3:5
How much does each receive?
Answer:
David=$8.8
Jo=$13.2
Mary=$22
Step-by-step explanation:
2+3+5=10
44/10=4.4
David=4.4x2=$8.8
Jo=4.4x3=$13.2
Mary=4.4x5=$22
8.8+13.2+22=44
What is the volume of a hollow ball whose other radius is 200m and inner radius of
100m.
What is the mass if it is iron*
Answer:
The volume of the hollow ball will be equal to the difference between the volume of a sphere with the outer radius and the volume of a sphere with the inner radius.
Remember that the volume of a sphere of radius R is given by:
V = (4/3)*pi*R^3
where pi = 3.14
Then if R is the outer radius, and r is the inner radius, the volume of the hollow ball is:
V = (4/3)*pi*( R^3 - r^3)
In this case, we have:
R = 200m
r = 100m
Then the volume of the hollow ball is:
V = (4/3)*3.14*( (200m)^3 - (100m)^3)
V = 29,306,666.67 m^3
Now, if this hollow ball is made of iron, we want to find the mass.
Remember the relation:
Mass = Density*Volume.
We know that the density of the iron is:
D = 7300 kg/m^3
Then the mass of this hollow ball is:
M = (7300 kg/m^3)*(29,306,666.67 m^3) = 213,938,666,666.6 kg
Testing a robot. The robot is 17 inches tall and weighs 4 pounds. The employees of the company marked a grid on the floor and set the robot at (5,3). They programmed the robot to walk 2 yards east and 6 yards north each minute. What will
Answer:
After 7 steps, co-ordinate would be (35, 21) in the N-E direction
Step-by-step explanation:
Complete question
Testing a robot. The robot is 17 inches tall and weighs 4 pounds. The employees of the company marked a grid on the floor and set the robot at (5,3). They programmed the robot to walk 2 yards east and 6 yards north each minute. What will the co-ordinate after 7 steps
Solution
The grid on the floor is (5, 3)
5 is the X -co-ordinate and 3 is the y co-ordinate
Since the robot is walking in the north and east direction , it will be in the first co-ordinate only
After seven steps, in east direction, the co-ordinate would be 7 * 5 = 35
After seven steps, in north direction, the co-ordinate would be 7 * 3 = 21
So the co-ordinate would be (35, 21)
what is the result of subtracting the second equation from the first?
2x+7y=-8 - 2x-5y=-1
Answer:
12y = -7
Step-by-step explanation:
9.
Identify the vertex of the graph. Tell whether it is a minimum or maximum.
A. (–2, 1); minimum
B. (–2, 1); maximum
C. (1, –2); minimum
D. (1, –2); maximum
Answer:
C. (1, –2); minimum
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
The vertex is the turning point of the graph.
This is at (- 1, - 2)
The graph changes from decreasing to increasing at (- 1, - 2)
Hence is a minimum at (- 1, - 2)
A cylinder has a height of 5 feet. Its volume is 1,271.7 cubic feet. What is the radius of the cylinder?
Answer: [tex]9\ ft[/tex]
Step-by-step explanation:
Given
Height of the cylinder [tex]h=5\ ft[/tex]
Volume of the cylinder [tex]V=1271.7\ ft^3[/tex]
The volume of the cylinder is given by [tex]V=\pi r^2h[/tex]
Consider r be the radius of the circle
[tex]\Rightarrow 1271.7=\pi r^2\cdot 5\\\\\Rightarrow r^2=\dfrac{1271.7}{3.142\times 5}\\\\\Rightarrow r^2=80.948\\\Rightarrow r=8.99\approx 9\ ft[/tex]
Thus, the radius of the cylinder is [tex]9\ ft[/tex]
Which table represents an exponential function
Answer:
Step-by-step explanation:
table3 represents exponential function
Which expression is equivalent to – 2x²y3 ( 4x2 + 3xy – 5y3)?
A. -8x4y3 - 6x3,4 + 10x2,6
B. _8x4 y3 - 6x2y3 + 10x2,9
OC. 2x4 y3 + x3y4 – 7x2,6
O D. 2x4y3 + x2y3 – 7x2y9
Quicklyyyy please
Answer:
A. -8x⁴y³ - 6x³y⁴ + 10x²y^6
Step-by-step explanation:
Given:
– 2x²y³ ( 4x² + 3xy – 5y³)
Open the parenthesis
= (– 2x²y³ * 4x²) + (– 2x²y³ * 3xy) - (– 2x²y³ * 5y³)
= -8x⁴y³ + (-6x³y⁴) - (- 10x²y6^6)
= -8x⁴y³ - 6x³y⁴ + 10x²y6^6
The correct answer is
A. -8x⁴y³ - 6x³y⁴ + 10x²y^6
What is the value of a?
a+36°
a-27°
Answer:
hope this will help you more
What is the median of the following numbers?
10, 6, 4, 4, 6, 4, 1
Answer:
4
Step-by-step explanation:
Using the unit circle, determine the value of sin(-240°).
A) -1/2
B) √3/2
C) 1/2
D) -√3/2
Answer:
B. √3/2.
Step-by-step explanation:
If we follow the circle from (1,0) clockwise through 240 degrees we end up at 120 degrees.
sin(120)
= √3/2
Kelly is making a rectangular garden that has a width of (2x + 3) and length of (2x - 4)
How much fencing does she need to enclose the garden (perimeter)?
Help please !!!Tomas has 135 more songs downloaded than Carl. Together they have 623 songs downloaded.
Part A
What system of equations could be used to determine how many songs each has downloaded?
Answer:
t + c = 623
t = c + 135
thomas has 379 songs downloaded, and carl has 244
Step-by-step explanation:
togheter they have 623 songs, aka the sum of thomas (t) and carl (c) is 623.
t + c = 623
thomas has 135 more than Carl. so Carl plus 135 is equal to thomas
t = c + 135
now you can solve it:
t + c = 623
(c+135) + c = 623
c + c = 488
2c = 488
c = 244
carl has 244 songs downloaded
t + 244 = 623
t = 379
thomas has 379 songs downloaded
The system of equations represents t + c = 623 and t = c + 135 and Tomas has 379 while Carl has 244 downloaded.
What is the equation?An equation can be defined in numerous ways. Algebraically speaking, an equation is a statement that shows the equality of two mathematical expressions.
As per the given,
Together they have 623 songs downloaded.
t + c = 623
Tomas has 135 more songs downloaded than Carl.
t = c + 135
By substitution,
c + 135 + c = 623
2c = 488
c =244
And , t = 244 + 135 = 379
Hence "The equations in the system show that Tomas has 379 while Carl has 244 downloaded and that t + c = 623 and t = c + 135 are represented".
For more about the equation,
brainly.com/question/10413253
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the dimensions of a right rectangular prism are 8/5cm 10/3cm & 7/4cm what the volume of the prism
Answer:
16/3
Step-by-step explanation:
Resh's gross pay is $1300 per fortnight. Fortnightly deductions from her gross pay are: PAYE: $31.85 FNPF: 5% HEALTH INSURANCE: $20.50 calculate her fortnightly net pay??
Answer:
$1182.65
Step-by-step explanation:
Given :
Fortnight gross pay = $1300
Given :
PAYE: $31.85 FNPF: 5% HEALTH INSURANCE: $20.50 calculate her fortnightly net pay
FNPF = 5% = 0.05 * $1300 = $65
PAYE = $31.85 ; HEALTH INSURANCE = $20.50
Total deduction = $(65 + 31.85 + 20.50) = $117.35
Net pay :
Gross pay - deduction
$1300 - $117.35 = $1182.65