Answer:
An equation of the line that passes through the point (6, − 2) and is perpendicular to the line will be:
[tex]y=\frac{1}{6}x-3[/tex]Step-by-step explanation:
We know that the slope-intercept form of the line equation is
y=mx+b
where m is the slope and b is the y-intercept.
Given the line
6x+y=2
Simplifying the equation to write into the slope-intercept form
y = -6x+2
So, the slope = -6
As we know that the slope of the perpendicular line is basically the negative reciprocal of the slope of the line.
Thus, the slope of the perpendicular line will be: -1/-6 = 1/6
Therefore, an equation of the line that passes through the point (6, − 2) and is perpendicular to the line will be
[tex]y-y_1=m\left(x-x_1\right)[/tex]
substituting the values m = 1/6 and the point (6, -2)
[tex]y-\left(-2\right)=\frac{1}{6}\left(x-6\right)[/tex]
[tex]y+2=\frac{1}{6}\left(x-6\right)[/tex]
subtract 2 from both sides
[tex]y+2-2=\frac{1}{6}\left(x-6\right)-2[/tex]
[tex]y=\frac{1}{6}x-3[/tex]
Therefore, an equation of the line that passes through the point (6, − 2) and is perpendicular to the line will be:
[tex]y=\frac{1}{6}x-3[/tex]if x,4x+3 and 7x+3 are geometric sequence. find the value of x
please help me
Answer:
x = [tex]\frac{-6}{7+\sqrt{13}}[/tex]
r = [tex]\frac{1+\sqrt{13} }{2}[/tex]
Step-by-step explanation:
In mathematics, a geometric progression, also known as a geometric sequence, is a sequence of numbers where each term after the first is found by multiplying the previous one by a fixed, non-one number called the common ratio.
For example, the sequence 2, 6, 18, 54, ... is a geometric progression with common ratio 3. Similarly 10, 5, 2.5, 1.25, ... is a geometric sequence with common ratio 1/2.
-----
Let's take r=ratio of the geometric sequence
in first term, x is multiplied by [tex]r^{0}[/tex]
First term: x [tex]r^{0}[/tex]
Second term: 4x+3 = x [tex]r^{1}[/tex]
Third term: 7x+3 = x [tex]r^{2}[/tex]
From the last 2 equation, we have to obtain r and x values.
Second equation - First equation:
3x = x r (r - 1)
Let's state: x different from 0, so we can simplify x, obtaining:
3 = [tex]r^{2}[/tex] - r
0 = [tex]r^{2}[/tex] - r - 3
r = [tex]\frac{1+\sqrt{13} }{2}[/tex] (only the positive value of r counts)
so, going to second term of the sequence:
4x+3 = x [tex]r^{1}[/tex] => x (4 - [tex]\frac{1+\sqrt{13} }{2}[/tex] ) = -3
x ([tex]\frac{7+\sqrt{13} }{2}[/tex] ) = -3 => x = [tex]\frac{-6}{7+\sqrt{13}}[/tex]
hope it helps..
can u pls help me with this question
an electrician cuts a 27 ft piece of wire into two pieces. one piece is 23 ft longer than the other. how long's are the pieces?
Answer:
Step-by-step explanation:
27-23=4
4 divided by 2=2 so
1 piece is 2ft and one piece is 25 ft
23+2ft=25 ft + 2ft =27 ft
Help :) Round to the nearest 10ths
Answer:
A=0.6
Step-by-step explanation:
Answer:
0.6 is your answer
Step-by-step explanation:
the tenths place is the 1st number after the decimal which would be 5 and you would want to round that up to 6 because the number after it is iver 5 (closer to 10 than it is 1)
hope this helps:) have a good day:)
What is the solution to the system of equations below?
y= 1/2x+6 and y=-3/4x-4
(-8, 2)
(-8,-1)
(8, 10)
(8.-10)
Answer:
A(-8, 2)
Step-by-step explanation
Answer: A
Step-by-step explanation: (-8, 2)
Mitch works at Comedy Cinema's concession stand. He has
helped 16 customers so far today. Find the cost of each person's
purchase and write it in the table. Then solve the riddle by writing
the letter of each answer in its matching blank.
Answer:
Step-by-step explanation:
Students use algebra to solve equations (of the form px + q = r and p(x + q) = r where p, q, and r are specific rational numbers); using techniques of making zero (adding the additive inverse) and making one (multiplying by the multiplicative inverse) to solve for the variable.
Students identify and compare the sequence of operations used to find the solution to an equation algebraically, with the sequence of operations used to solve the equation with tape diagrams. They recognize the steps as being the same.
Students solve equations for the value of the variable using inverse operations; by making zero (adding the additive inverse) and making one (multiplying by the multiplicative inverse).
2= f/8 f= solve the equation
1. 3x - 5< 19
3x - 5+<19+
38 <
3x :
x<
Answer:
Love you
Step-by-step explanation:
Which is the correct answer?
Answer:
c is the correct answer
How do you solve this equation step-by-step? (below)
-2 (x - 3) = 16
Answer:
-2 (x -3 ) = 16 (use the distributive property)
-2x +6 = 16 (subtract 6 from both sides)
-2x = 10 (divide both side by -2)
x= -5
Find the derivation of y=sin (2x2 + 3x-4)<br />a. -cos (4x +3) b. -(6x2+3) cos (2x3+3x-4) c. Cos (2x3+3x-4)<br />d. (6x3+3) cos (2x3+3)<br />
Let y = f(x)
f(x) = sin x
g(x) = (2x^2 + 3x - 4)
Use the chain rule.
We want y' = f' (g(x)) • g'(x).
y' = cos(2x^2 + 3x - 4) • (4x + 3)
Done.
4x +y = 8
2x - 3y = 4
There is no solution.
® There are infinitely many solutions.
© There is exactly one solution at (2,0).
There is exactly one solution at (0,2).
Pick a statement that describes the solution correctly
Hello! Your answer will be the second provided answer.
See attachment below for explanation...
Describe the correlation if r = -0.45.
find 3 solutions to the equation y = 1/2x - 1
The 3 solutions to the equation are (0,-1), (2, 0) and (4, 1)
What are linear equations?Linear equations are equations that have constant average rates of change. Note that the constant average rates of change can also be regarded as the slope or the gradient
How to find 3 solutions to the equation?The equation is given as
y = 1/2x - 1
Next, we set x = 0, 2 and 4
So, we have
When x = 0
y = 1/2 x 0 - 1 = -1
When x = 2
y = 1/2 x 2 - 1 = 0
When x = 4
y = 1/2 x 4 - 1 = 1
Hence, the 3 solutions to the equation are (0,-1), (2, 0) and (4, 1)
Read more about equations at
https://brainly.com/question/18831322
#SPJ1
The actual distance between Singapore and Jakarta is 1000 km. On a particular map. 1 cm on
the map represents 200 km on the ground. What length on the map represents the distance
between the two cities?
5 cm
10 cm
15 cm
Answer:
5cmStep-by-step explanation:
From the questions;
1cm represents 200km on the map
If the length of distance between the cities is 1000km, the distnce on the map will be say x;
x cm = 1000 km
Divide both equations;
1/x = 200/1000
Cross multiply;
200x = 1 * 1000
200x = 1000
x = 1000/2000
x = 5cm
Hence the length on the map that represents the distance between the two cities is 5cm
Equations and Inequalities
pls help
Answer: B=5
Step-by-step explanation:
if you plug 5 in for B, the equations equal to each other
6(5)-2=5(5)+3
30-2=25+3
28=28
NOW plug in each number to show the work (even though we already know it’s 5)
Of the following sets, which represents a function?
Situation A = {student's name, all the colors that the student likes}
Situation B = {student's name, names of all of the student's teachers}
Answer:
what
Step-by-step explanation:
ASAPPP HELP PLZZ I DONT UNDERSTAND
Answer:
1/5 = 3/15
2/3 = 10/15
When all Added up
= 13/15
Step-by-step explanation:
So our LCD here is 15.
So in order to go from 5 to 15, we multiply by 3, and In order to go from 3 to 15, we multiply by 5. What we do to the denominator we also do to the numerator.
So,
[tex]\frac{1}{5} x \frac{3}{3} = \frac{3}{15}[/tex]
And,
[tex]\frac{2}{3} x \frac{5}{5} = \frac{10}{15}[/tex]
So there you go, multiply for what you need to get to the LCD, and what is done to the numerator is also done to the denominator. Enjoy
*If this Helped I'd Also Appreciate 5* and a ♥ Thanks!*
PLease helppppp (15 points)
Let f(x)=e2x. If g(x) is the graph of f(x) shifted right 3 units, down 2 units, and then reflected over the x-axis, what is the function for g(x)
A. g(x)=−(e2(x+3)−2)
B. g(x)=−(e2(x−3)+2)
C.g(x)=−(e2(x−3)−2)
D. g(x)=e2(−x−3)−2
which is greater 0.25 or 0.04
Answer:
0.25
Step-by-step explanation:
ez
Answer:
.25
Step-by-step explanation:
What's the slope of (2,9) (6, -8)
Answer:
17/-4
Step-by-step explanation:
Answer:
-4.25
I hope this helps!
if the fourth term of an ap is 1 and sum of it first right term is 18 find the tenth term
There are four activities on the critical path. Coincidentally, their standard deviations are all equal to 4. The standard deviation of the critical path is therefore equal to:
Answer:
the standard deviation of the critical path is 8
Step-by-step explanation:
The computation of the standard deviation of the critical path is shown below:
As we know that
Variance = Standard deviation^2
Now the variance of the critical path is
= Variance 1 + variance 2 + variance 3 + variance 4
= 4^2 + 4^2 + 4^2 + 4^2
= 64
Now the standard deviation would be
= √64
= 8
hence, the standard deviation of the critical path is 8
Evaluate the expression w ^2 - v + 1 for w = -2 and v = -8.
Answer:
13
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightStep-by-step explanation:
Step 1: Define
w² - v + 1
w = -2
v = -8
Step 2: Evaluate
Substitute: (-2)² - (-8) + 1Exponents: 4 - (-8) + 1Multiply: 4 + 8 + 1Add: 12 + 1Add: 13Answer:
the answer is 13
Step-by-step explanation:
If f(x) = 4x² - 6x + 3, find f(a - 4).
∫f(x)dx=43x3−3x2+7x+Cf(x)=4x2−6x+7∫f(x)dx=∫(4x2−6x+7)dx=4⋅∫x2dx−6⋅∫xdx+7⋅∫1dx=4x33−6x22+7x11+C=43x3−3x2+7x+C
What polygons have at least 4 sides?
Answer:
rectangles, squares, diamonds, rhombuses, and trapezoids
Step-by-step explanation:
Your Welcome
Answer: quadralaterals, pentagons, hexagons, heptagons, occtagons, nonagons, decagons, hendecagon, dodecagon, and so on.
Step-by-step explanation:
See screenshot Below.
Answer:
78 Kg
Step-by-step explanation:
Because he gained at a constant rate first find that rate
in 1.5 months gained 93.6 - 85.8 = 7.8 so
whhen he started his diet he was at 85.8 -7.8 = 78 kilograms
Charles drove three times as far as Emily. Altogether they drove 112 miles. What was the number of miles driven by Charles?
Answer: Charles drove 84 miles
Step-by-step explanation:
(c)harles = 3 x (e)mily
e + c = 112
Since Charles is 3x Emily, we can plug in 3e instead of c
e + 3e = 112
4e = 112
e = 112/4
e = 28
Emily drove 28 miles, and Charles drove 3x that, so Charles drove
28 x 3 = 84
A company’s equipment manager buys $7,000 worth of equipment. This equipment depreciates 19% each year. The manager can replace the equipment after its value falls below $500. After how many years can the manager first replace the equipment?
Answer:
13 (c)
Step-by-step explanation:
Graph the equation 7000(1-0.19)^x and then the inequality y<500, the point of intersection should be 12.524, so the answer will be rounded up to 13 i think
Answer:
13
Step-by-step explanation:
how might it be possible for the black people and white people to die at approximately the same age, but for the median age for the white people to be higher
Answer:
Step-by-step explanation:
because we are weaker