Step-by-step explanation:
The general form of a linear equation is given by :
y = mx +b
Where
m is the slope
b is the y-intercept
(a) y = 2x - 3
It is in the form of a linear equation.
Standard form, y =2x+(-3)
(b) The equation is 4x = 2y
or
2y = 4x
y = 2x + 0
It is in the form of a linear equation with slope of 2 and y-intercept of 0.
a cylinder and sphere both have the same diameter and the same volume. if the height of the cylinder is 36cm,
find their common radius?
Answer:
27
Step-by-step explanation:
V_cylinder = pi r^2 h
h = 36
V_cylinder = 36 pi r^2
V_Sphere = 4/3 * pi * r^3
But the volumes are given as equal
36pi r^2 = (4/3) pi r^3 divide by pi r^2
36 = 4/3 r Multiply both sides by3/4
36 * 3/4 = r
r = 27
solve the inequality 2-x<7
Answer:
x>-5
Step-by-step explanation:
2-x<7
Subtract 2 from each side
2-x-2<7-2
-x<5
Multiply each side by -1, remembering to flip the inequality
x>-5
URGENT PLEASE HELP: Simplify
Answer:
cot (x)
Step-by-step explanation:
cot x
---------------
cos x sec x
We know that sec = 1/ cos
cot x
---------------
cos x 1/ cos x
cot x
---------------
1
cot (x)
Answer:
You're clicking on the correct answer, it's cot with that symbol, I dont have the symbol.
Please help me.....................
Answer:16500
Step-by-step explanation:
That is, for every 100 people, there are 26 people aged between 11 and 20. So 63500 will have 16500 people aged 20.
Calculate the volume of a cone with: 11cm height and 6cm radius
Answer:
volume=1243.44 cm^3
Step-by-step explanation:
volume of a cone=πr^2h
=3.14*(6)^2*111
=3.14*36*11
=1243.44 cm^3
Answer:
V=414.69cm³
Step-by-step explanation:
use v=πr²h/3
pie is 22/7 so when you fix in your values you will get the answer
Expand and simplify:
(x + 1)(2x - 3)
with the explaining the steps
====================================
Work Shown:
(x+1)(2x-3)
y(2x-3)
2xy - 3y
2x( y ) - 3( y )
2x( x+1 ) - 3( x+1 )
2x^2+2x - 3x-3
2x^2 - x - 3
Explanation:
In the second step, I replaced all of (x+1) with y. Afterward, I distributed that y term through. A few steps later, I replaced y with x+1 to help finish up the distributions. You could use the FOIL rule as an alternative approach.
Write a numerical expression for the verbal expression.
fourteen decreased by three times four
Answer:
Step-by-step explanation:
44
Two basketballs are thrown along different paths. Determine if the basketballs’ paths are parallel to each
other, perpendicular or neither. Explain your reasoning.
o The first basketball is along the path 3x + 4y = 12
o The second basketball is along the path -6x – 8y = 24
Answer:
Since the slopes of the two equations are equivalent, the basketballs' paths are parallel.
Step-by-step explanation:
Remember that:
Two lines are parallel if their slopes are equivalent. Two lines are perpendicular if their slopes are negative reciprocals of each other. And two lines are neither if neither of the two cases above apply.So, let's find the slope of each equation.
The first basketball is modeled by:
[tex]\displaystyle 3x+4y=12[/tex]
We can convert this into slope-intercept form. Subtract 3x from both sides:
[tex]4y=-3x+12[/tex]
And divide both sides by four:
[tex]\displaystyle y=-\frac{3}{4}x+3[/tex]
So, the slope of the first basketball is -3/4.
The second basketball is modeled by:
[tex]-6x-8y=24[/tex]
Again, let's convert this into slope-intercept form. Add 6x to both sides:
[tex]-8y=6x+24[/tex]
And divide both sides by negative eight:
[tex]\displaystyle y=-\frac{3}{4}x-3[/tex]
So, the slope of the second basketball is also -3/4.
Since the slopes of the two equations are equivalent, the basketballs' paths are parallel.
List all the possible numbers for ALL 4 Quadrants (in terms of negative, positive).
What Quadrant would the following numbers be in:
-4, -6 ______
+5, +5______
-4, +1 ______
+3, -7 _____
Which of the following is one of the factors of the polynomial
15x2-x-2? A)x-2 B) 5x-2 C) 5x+1. D) 3x-1
Answer:
5x-2
Step-by-step explanation:
15x^2-x-2
15x^2+5x-6x-2
factorize
5x(3x+1)-2(3x+1)
Sol: (3x+1)*(5x-2)
Triangle ABC ~ Triangle DEF. Measure of angle A = 30 degrees and measure of angle F = 65 degrees. AB=20, DE = 35, EF= 28.
Find measure of angles B, E, D and C and the length of BC.
Answer:
< B = 180-30-65=85°
< E = 85°
< D = 30°
< C = 65°
BC = 20/35 × 28 = 16
Simplify\left(2-\sqrt{3}\right)^2
[tex]\implies {\blue {\boxed {\boxed {\purple {\sf { C) \:7 + 4 \sqrt{3}}}}}}}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]
[tex] {( - 2 - \sqrt{3} )}^{2} [/tex]
[tex] = ({ - 2})^{2} - 2.( - 2). \sqrt{3} + { (\sqrt{3}) }^{2} [/tex]
[tex] = 4 + 4 \sqrt{3} + 3[/tex]
[tex] = 7 + 4 \sqrt{3} [/tex]
Note:[tex] ({a - b})^{2} = {a}^{2} - 2ab + {b}^{2} [/tex]
[tex] \sqrt{a} \times \sqrt{a} = a[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}[/tex]
PLEASEEEEEEEE HELPPPPPPPPPPPPPPPPPPPPPPPP MEEEEEEEEEEEEEEEEEEEE
Answer:
First, find the multiplier ( 100-18/100)
=0.82
364000*0.82
=298480 is the new value after the years
Taxi A charges a fee of $3.50, plus $1.75 per mile. Taxi B charges a few of $1.25, plus $2.00 per mile. At what distance would the taxi cost the same?
I need help I put 30 points for whoever helps me
Answer:
[tex]y=-x+1[/tex]
Step-by-step explanation:
Slope can be represented as rise over run (change y-values over change in x-values). Since the y-value is changing by -2 every time the x-value is changing by 2, the slope of the line must be [tex]\frac{-2}{2}=-1[/tex].
In slope-intercept form [tex]y=mx+b[/tex], [tex]m[/tex] represents the slope of the line, [tex]b[/tex] represents the y-intercept, and [tex](x, y)[/tex] represent the coordinates of any point the line passes through.
To find [tex]b[/tex], substitute [tex]m=-1[/tex] and any point the line passes through.
Using (1, 0) from the table:
[tex]0=-1(1)+b,\\0=-1+b,\\b=1[/tex]
Thus, the equation of this line is [tex]\boxed{y=-x+1}[/tex]
determine the slope between -2,6 3,4
A rectangle has a length of 30 and A diagonal that measures 34. What is the width of the rectangle? (Round your answer to the nearest tenth)
Answer:
45.34
Step-by-step explanation:
you have to use the pythagorean theorem
Help please help 50 points!!!!! no links or i will report if you know how to solve just answeer pllllease !!
Answer:
39.6 degrees
Step-by-step explanation:
There are 176 baseball answers out of 1600
There are 360 degrees in a circle
Multiply the fraction of baseball responses by the degrees in a circle
176/1600 * 360
198/5
39.6 degrees
Please can someone help me ?
Answer:
Step-by-step explanation:
1/(3x+5)(3x-5) - 1/2(3x+5)
2 - (3x-5)
2(3x+5)(3x-5)
2-3x+5
2(3x+5)(3x-5)
-3x + 7
2(3x+5)(3x-5)
[tex]\sqrt{x} +3=9[/tex]
Answer:
x=36
Step-by-step explanation:
sqrt(x) +3 = 9
Subtract 3 from each side
sqrt(x)+3-3 = 9-3
sqrt(x) = 6
Square each side
(sqrt(x))^2 = 6^2
x = 36
Check the solution
sqrt(36) +3 = 9
6+3 = 9
Solution is valid
Answer:
x = 36
Step-by-step explanation:
√x + 3 = 9
subtract 3 from 9
√x = 9 - 3
√x = 6
Find , square root of 6
x = (6 ) ²
x = 36
solve for q: plz help
Answer:
-0.67 rounded to hundredths
Step-by-step explanation:
3×(q + 4/3) = 2
q + 4/3 = 2/3
q = -2/3 = -0.666666666666...
Simplify...................
Answer:
(a+b)/2(a-b)
Step-by-step explanation:
Explained in the paper
Goodluck
Jeff had 5 apples but ate 2 Kyle had 3 apples but ate 1 kelsea has 8 apples but ate 4 who has the most apples?
Answer: kelsea 4 apples left
Step-by-step explanation:
Find the second derivative of the function.
Answer:
[tex] \displaystyle d)\frac{d ^{2} y}{d{x}^{2} } = 2 + \frac{ 42}{ {x}^{4} }[/tex]
Step-by-step explanation:
we would like to figure out the second derivative of the following:
[tex] \displaystyle y = \frac{ {x}^{4} + 7}{ {x}^{2} } [/tex]
we can rewrite it thus rewrite:
[tex] \displaystyle y = {x}^{2} + 7 {x}^{ - 2} [/tex]
take derivative in both sides:
[tex] \displaystyle \frac{dy}{dx} = \frac{d}{dx}( {x}^{2} + 7 {x}^{ - 2} )[/tex]
by sum derivation we obtain:
[tex] \displaystyle \frac{dy}{dx} = \frac{d}{dx}{x}^{2} + \frac{d}{dx} 7 {x}^{ - 2}[/tex]
by exponent derivation we acquire:
[tex] \displaystyle \frac{dy}{dx} = 2{x}^{} - 14 {x}^{ - 3}[/tex]
take derivative In both sides once again:
[tex] \displaystyle \frac{d ^{2} y}{d{x}^{2} } = \frac{d}{d x } (2{x}^{} - 14 {x}^{ - 3})[/tex]
use difference rule which yields:
[tex] \displaystyle \frac{d ^{2} y}{d{x}^{2} } = \frac{d}{d x } 2{x}^{} - \frac{d}{dx} 14{x}^{ - 3}[/tex]
use exponent derivation which yields:
[tex] \displaystyle \frac{d ^{2} y}{d{x}^{2} } = 2 + 42{x}^{ - 4}[/tex]
by law of exponent we get:
[tex] \displaystyle \frac{d ^{2} y}{d{x}^{2} } = 2 + \frac{ 42}{ {x}^{4} }[/tex]
hence, our answer is d)
How do you factor the quadratic equation 3x^2 + 8x + 3 to find the roots?
Answer:
Step-by-step explanation:
Hope this helps u!!
x^2 times x^2 times 5
Answer:
5x^4
Step-by-step explanation:
Re-order terms so constants are on the left
x^2*x^2*5
5x^2*x^2
Combine exponents
5x^2*x^2
5x^4
(PLS GIVE brainliest)Pls, help me with this geometry question.
Answer:
x=45 degree
Step-by-step explanation:
x+135=180 degree (0pposite angles of a inscribed quadilateral in a circle are supplement of eaach other)
x=180-135
x=45 degree
Donna bought 5 bags of dog treats for $10.65. What is the cost per bag of dog treats?
Answer:
$10.65 divide by 5 equals $2.13
Answer:
The cost per bag of dog treats is $2.13.
Step-by-step explanation:
We have the total, so to find the cost per bag you would take the total and divide by how many bags there are.
Total = $10.65
How many bags there are : 5
$10.65 divided by 5 = 2.13
The cost per bag of dog treats is $2.13.
write and solve an equation given the following information. Angles 1 and 2 are complementary. the measure of angle 2 is 18 larger than the measure of angle 1.
A.) x + (x + 18) = 90, x = 36
B.) x + (x + 18) = 180, x = 81
C.) 2x + 72 = 90, x = 9
D.) x + (x - 18) = 90, x = 54
Will give brainlist!!
3x<11.75 solve for x please, with step on how you got to that answer!
Answer:
See below
Step-by-step explanation:
3x < 11.75
11.75 / 3 = 3.92
x < 3.92