Answer:
Step-by-step explanation:
Hello:
an equation for the line is : y =mx +b (m: is a slope )
perpendicular to the line described by : y = -1/3 x +4
So : product for two slopes = -1 means : m×-1/3=-1
m = 3
now : y = 3 x+b
but this line :
through the point (4,3) : 3 =3(4)+b....... b=-9
conclusion :
the equation is : y =3x -9
find the second derivative of 2x^3-3y^2=8
Answer:
[tex]\frac{d^2y}{dx^2}=\frac{x(2y-x^3)}{y^3}[/tex]
Step-by-step explanation:
Find the first implicit derivative using implicit differentiation
[tex]2x^3-3y^2=8\\\\6x^2-6y\frac{dy}{dx}=0\\ \\-6y\frac{dy}{dx}=-6x^2\\ \\\frac{dy}{dx}=\frac{x^2}{y}[/tex]
Use the substitution of dy/dx to find the second derivative (d²y/dx²)
[tex]\frac{d^2y}{dx^2}=\frac{(y)(2x)-(x^2)(\frac{dy}{dx})}{y^2}\\ \\\frac{d^2y}{dx^2}=\frac{2xy-(x^2)(\frac{x^2}{y})}{y^2}\\\\\frac{d^2y}{dx^2}=\frac{2xy-\frac{x^4}{y}}{y^2}\\\\\frac{d^2y}{dx^2}=\frac{x(2y-x^3)}{y^3}[/tex]
Given the points (-10, -3) and (4,8) find the slope.
Answer: [tex]\frac{11}{14}[/tex]
Step-by-step explanation:
1) Identify Format
(x1,y1) = (−10,−3)
(x2,y2) = (4,8)
2) Use the Slope Formula
m=y2−y1x2−x1
=8−−3/4−−10
=11/14
=11/14
Bonus: Graph
Answer provided by Education Point
Given the expression which operation would you perform first?
Hey there!
Let's use PEMDAS:
P=Parentheses
E=Exponents
M=Multiplication
D=Division
A=Addition
S=Subtraction
So, let's use this formula in order to solve this problem.
We have:
3(4²)+4+16-9
According to PEMDAS, the first operation is
Parentheses (in this case, exponents)
Hence, the answer is
[tex]\boxed{\boxed{\bold{Option\;B}}}[/tex]
Hope everything is clear.
Let me know if you have any other questions; if so, please comment.
#LearningDoesn'tEnd
#LearningIsFun
[tex]\rule{200}{2}[/tex]
Question 1 The diagram below shows the straight line joining points A and B. YA A(-1,6) 0 х B (3,-2) Find the equation of the line AB. Give the equation in its simplest form.
Answer:
y+2x=4
Step-by-step explanation:
use the formula of equation of line
The equation of line is y= 4 - 2x.
What is slope?A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the change in y coordinate with respect to the change in x coordinate as,
m = Δy/Δx
where, m is the slope
Given co- ordinates:
A(-1,6) and B (3,-2)
slope = [tex](y_2 - y_1) / (x_2 - x_1)[/tex]
slope = ( -2 - 6)/ ( 3 -(-1))
slope = (-8) / (4)
slope = -2
Now, the equation of line
([tex]y-y_1) = m (x - x_1)[/tex]
(y- 6) = (-2)(x - (-1))
y-6 = (-2)(x + 1)
y-6 = -2x -2
y= 4 - 2x
Hence, the equation of line is y= 4 - 2x.
Learn more about slope here:
https://brainly.com/question/3605446
#SPJ2
What is the standard deviation of data set? 6,4,9,5,5,4,5 Round the answer to the tenths place.
Answer:
1•7
Step-by-step explanation:
Answer Accorfing ti te pasaje we no get:
Make an accurate drawing of two rectangles with the same perimeter, but different areas. Indicate the dimensions of the rectangles, as well as the perimeter and the area in each figure.
here.
Step-by-step explanation:
Find the value of cos
V
V rounded to the nearest hundredth, if necessary.
Answer:
image
Step-by-step explanation:
image
What is the slope of the line that passes
through (7,3) and (-2,4)?
O 7
02
- 9
0-
OS
[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
Let's calculate the slope ~
[tex]\qquad \sf \dashrightarrow \: \dfrac{y_2 - y_1}{x_2 - x_1} [/tex]
[tex]\qquad \sf \dashrightarrow \: \dfrac{3 - 4}{7 - ( - 2)} [/tex]
[tex]\qquad \sf \dashrightarrow \: \dfrac{ - 1}{9} [/tex]
That's the required slope, I hope it helps~
Find the volume of this composite figure
Answer:
381 feet cubed
Step-by-step explanation:
You need to divide the shape into 2.
I would divide the shape so that 8.5ft, 6ft, and 3ft are one.
Now do Length times Width times Height for the first one.
8.5 ft x 6 ft x 3 ft = volume for shape 1
The volume for shape 1 is 153 feet cubed
Now onto the second one.
Since you divide the other shape to have 8.5 feet the measurements are:
4ft, 9.5ft, and 6ft.
Do the formula lwh.
4ft x 9.5ft x 6ft = volume for shape 2
The volume for shape 2 is 228 feet cubed
Finally, you have to add shapes 1 and 2 due to the fact it's a composite figure.
153ft + 228ft = 381ft cubed
f(x)=3x^2-5x+3
f(-2)=
f(-1)=
f(0)=
f(1)=
f(2)=
Answer
answer is 19
Step-by-step explanation:
hope it's help
4
Find the perimeter of a
Square with a side
length of 7 meters.
Answer: P=28 meters
Step-by-step explanation:
[tex]P=4[/tex] × a ⇒ a is the side length
[tex]P=4[/tex] × [tex]7[/tex]
[tex]P=28[/tex]
Answer:
28 m
Step-by-step explanation:
Given
Side length = 7 mPerimeter of a square
4 x Side length4 x 728 mEnter in the missing numbers to create equivalent ratios. NO LINKS pls.
Answer:
Step-by-step explanation:
Find the missing numerator that will make the rational expressions equivalent.
82x+7=?6(2x+7)
The missing numerator that will make the rational expressions equivalent is (82x + 7) / (12x + 42)
What is an equation?
An equation is an expression that shows the relationship between two or more variables and numbers.
Let y represent the missing numerator, hence:
82x + 7 = y * 6(2x+7)
82x + 7 = y * (12x + 42)
y = (82x + 7) / (12x + 42)
Find out more on equation at: https://brainly.com/question/2972832
= 1 2 + (2 + tan 1 2 ) where and are constants. Show that (1 + ) ²y/dy²=y
Answer:
Step-by-step explanation:
Melanie invested $63,000 in an account paying an interest rate of 7\tfrac{1}{8}7
8
1
% compounded quarterly. Lillian invested $63,000 in an account paying an interest rate of 7\tfrac{3}{8}7
8
3
% compounded continuously. After 15 years, how much more money would Lillian have in her account than Melanie, to the nearest dollar?
Which number is bigger: 0.135 or 0.14?
8) Which table shows a proportional relationship between x and y?
1
y
1
4
2
3
4
8
4
6
10
с
12
8
А
9
16
14
16
12
22
20
20
15
28
x
3
.
y
5
1
12
6
10
2
14
12
D
w N
B
15
16
18
18
4
24
20
20
30
25
5
9 Danielle constructs a scale model of a building with a rectangular base. Her model
Answer:
D
Step-by-step explanation:
A table shows a proportional relationship if all of the y/x ratios are the same.
A: 4/3 ≠ 10/6 . . . . not proportional
B: 6/12 ≠ 12/14 . . . . not proportional
C: 2/4 ≠ 20/20 . . . . not proportional
D: 1/5 = 2/10 = ... = 5/25 . . . . proportional relationship
Answer:
D
Step-by-step explanation:
1*5=5
2*5=10
3*5=15
4*5=20
5*5=25
5-3x5* Whats the answer
Answer:
-10
Step-by-step explanation:
5 - 3*5
= 5 - 15
= -10
Question 1 of 10
Is the graph a linear function, nonlinear function, or relation?
AY
O A. Nonlinear function
OB. Relation
C. Linear function
PREVIOUS
Answer:
A. Nonlinear function
Step-by-step explanation:
It is not a linear function because :-
You cannot write an equation because change in y-value for every x-value is not consistentIt cannot be relation as there is no correlation between the x and y values in the graphIt is a nonlinear functionAn AlienWare computer cost $4,200. You have a 35% coupon for their products. How much are you able to purchase the computer for?
Answer:
$1470 coupon of their product I have
State the following numbers using '+' or '_'.
(a) 80 less than zero
=
(b) 76 more than zero
=
2.List all integers
(a) from -8 to 4
=
(b) from -12 to -2
=
Step-by-step explanation:
-80 is less than 0.
+76 is more than 0.
-8, -7, -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4
-12, -11, -10, -9, -8, -7, -6, -5, -4, -3, -2
James asked 50 pupils which drink they liked best from cola, milk and water.
23 boys were included in the survey.
11 of the boys said that cola was their favourite.
3 boys liked water best and 7 girls liked water best.
22 pupils altogether said that milk was their preferred drink.
How many pupils altogether said that cola was their favourite drink?
Answer:
18 pupils
Step-by-step explanation:
11 like cola
32 like other stuff
11+32=43 - 50-43=7
therefore 11+7=18
18 students like cola the best
Is the following statement true or false? If the statement is false, explain.
Most of the funding for research comes from the government.
(1 point)
Answer:
The stament is false. Although the government deos fund research, most of the funding for research is from corporations
Step-by-step explanation:
I am sorry if it's wrong but I think that's the correct answer but read this first
Most research funding comes from two major sources, corporations (through research and development departments) and government (primarily carried out through universities and specialized government agencies; often known as research councils).
State and Local Taxes
1. Higher-income individuals are more likely to afford their standard of living and can afford to pay more in taxes.
2. Yes, 32 of the 41 states that tax wages use a graduated scale for the individual income tax.
3. sales tax, meals tax, hotels tax, excise tax, and tolls
4. federal payroll tax
5. A levy paid to a local government by a landowner, a homeowner, or a business that owns real estate.
100% if you put these answers.
-1/4 (24ab + 8c) please help
Find the values of x, y, and z.
Please help!!
Answer:
x=20
y and z=160
Step-by-step explanation:
the arc of the circle is congruent to the central angle therfore x is also 20
next for y and z we can tell they are congruent now to find the measure. we can tell A is 180 so we do 360-180-20=160
Pls show work I can't understand
Answer:
I don't think that is possible because absolute value cant equal negative number, symbol would be ∅ if that is true
Step-by-step explanation:
i don't have one
p(x)=(x+2)(2x+7)(x-1)(x-3)
[tex]p(x)=(x+2)(2x+7)(x-1)(x-3)\\ \\~~~~~~=(2x^2 +7x + 4x +14)(x^2 -3x -x +3)\\\\~~~~~~=(2x^2 + 11x +14)(x^2 - 4x +3)\\\\~~~~~~=2x^4-8x^3 + 6x^2 + 11x^3 - 44x^2+33x + 14x^2 - 56x + 42\\ \\~~~~~~=2x^4+3x^3-24x^2-23x +42[/tex]
Do basketball players hit a higher proportion of free throws when they're playing at home or when they're playing away this best is assessed by using
Answer:
home
Step-by-step explanation:
I'm not sure I'm just guessing honestly
What is the measure of m? n 20 m 5 m.
m = 5 V Give your answer in simplest form. Enter
Answer:
m = 5[tex]\sqrt{5}[/tex]
Step-by-step explanation:
To find the measure of m we use the following Euclidian theorem:
m^2 = 5*(5+20)
m^2 = 125 find the root for both sides
m = 5[tex]\sqrt{5}[/tex]
Which of the following is equivalent to
x
2
+
5
x
+
1
=
0
?
Answer:
x= -1/7
Step-by-step explanation:
2x + 5x + 1 = 0
7x = -1
x = -1/7