Answers
The points: (-3,-1), (6,-7)
(-7+1)/(6+3) = -6/9 = -2/3
Use equation: y = mx + b
y = -2/3x + b
Plot in any point
-1 = -2/3(-3) + b
-1 = 2 + b, b = -3
Final equation in slope intercept form:
Y = -2/3x -3
Answer:
y = -[tex]\frac{2}{3}[/tex] x - 3
Step-by-step explanation:
The general form of the equation of the line (linear equation) is:
y = ax + b
The line passes through (-3, -1) and (6, -7), i.e:
(1) (x=-3, y=-1) is a point that verifies the equation of the line, and
(2) (x=6, y=-7) also verifies the equation.
So we can put up a system of 2 equations to obtain a and b:
y = ax + b
(1) -1 = a (-3) + b
(2) -7 = a (6) + b
______________
substracting (1) - (2) we can obtain a:
-1 - (-7) = a (-3-6) ⇒ 6 = -9 a ⇒ a = -2/3
by replacing a in (1) we can obtain b:
-1 = -2/3 (-3) + b ⇒ -1 -2 = b ⇒ b = -3
so, the equation is: y = ax + b ⇒ y = -2/3 x - 3
Verification: (2) giving x= 6, let's see if y=-7 is obtained:
y = -2/3 6 - 3 ⇒ y = -4 - 3 = 7 ⇒ RIGHT!
Related Questions
Which steps can be used to solve StartFraction 6 Over 7 EndFraction x + one-half = StartFraction 7 Over 8 EndFraction for x? Check all that apply.
Divide both sides of the equation by StartFraction 7 Over 8 EndFraction.
Subtract One-half from both sides of the equation.
Use the LCD of 2 to combine like terms.
Divide both sides by StartFraction 6 Over 7 EndFraction.
Multiply both sides by StartFraction 7 Over 8 EndFraction.
Answers
Answer: the answer is 2,4,5
Step-by-step explanation:
Answer:
B, D, E
Step-by-step explanation:
Took the test
5*Please answer this correctly very urgent!
Answers
Answer:
1 3/15 - 5/15
Step-by-step explanation:
Hope this helps. PS the / sign is supposed to be for the fraction.
Step-by-step explanation:
1 1/5 - 1/3 = 0.86
Hope I helped. The only way I know how to dot this is in decimal form sorry.
Selena bought a TV for her bedroom. The original price was $299.99, but she bought it on sale for 30% off. Selena also paid 15% tax. How much money did she spend on the TV?
Answers
Write the slope-intercept from of the equation of the line described. Through (-2, -1) perpendicular to y = 1/4x
Answers
Step-by-step explanation:
Slope Intercept Form is "y = mx + b"
What it means?
"m" - slope
"b" - y intercept (0,b)
So, we are given the slope, but not the y intercept..
For now, lets fill in the slope.
y = 1/4x + b
We are given a coordinate pair (-2,-1)
Fill it into the equation and solve for b.
-1 = 0.25(-2) + b
-1 = -0.50 + b
- 0.50 = b
We now have the value of "B"
Fill in the rest of the equation:
y = 1/4x + -.50
^ I think that is correct, sorry if it's wrong.
What is the slope of the line that contains these points?
Answers
Answer:
-5/4
Step-by-step explanation:
Slope = (y2-y1)/(x2-x1)
Slope = (5-10)/(49-45)
66,722 Cincinnati residents over the age of 25 have a bachelor's degree or higher. What percentage of Cincinnati residents who are over the age of 25 have a bachelor's degree or higher
Answers
Answer:
we are missing some information, so I looked for a similar question and found the attached image:
Cincinnati's total population = 298,957 people
Cincinnati's population over age 25 = 193,638
I added all the people that were up to 24 years old and then subtract that number from 298,957 - 105,319 = 193,638
Percentage of Cincinnati residents over age 25 that have a bachelor's degree or higher = 66,722 / 193,638 = 0.3446 = 34.46%
Element X decays radioactively with a half life of 9 minutes. If there are 610grams of
Element X, how long, to the nearest tenth of a minute, would it take the element to
decay to 124 grams?
y = a(.5) t/h
Answers
A half-life of 9 minutes corresponds to a decay factor k such that
[tex]\dfrac12=e^{9k}\implies k=-\dfrac19\ln\left(\dfrac12\right)[/tex]
Then the time it takes for the substance to decay from 610 g to 124 g is time t such that
[tex]124\,\mathrm g=(610\,\mathrm g)e^{kt}[/tex]
Solve for t :
[tex]\dfrac{62}{305}=e^{kt}[/tex]
[tex]\ln\left(\dfrac{62}{305}\right)=kt[/tex]
[tex]t=\dfrac1k\ln\left(\dfrac{62}{305}\right)\approx20.686[/tex]
so it takes about 20.7 min for the 610 g sample to decay down to 124 g.
Order the following integers from least to greatest -25,-41,36,28,and16
Answers
PLZ Help Urgent. 15 POINTS, BRAINLY Guaranteed.
Plz Answer honestly or you will be reported.
Multiply.
15 ⋅ 1/3
1/45
1/5
5
45
Answers
Answer:
5
Step-by-step explanation:
[tex]\frac{15}{1}[/tex] multiplied by [tex]\frac{1}{3}[/tex]
which makes: [tex]\frac{15}{3}[/tex]
simplify: 5
For the formula x = 3y - z, what is the value of x when y = 4 and z = 1?
Answers
x = 3(4) - 1
x = 12 - 1
x = 11
Answer:
here, x=3y-z then,
(substitute value of y and z)
x=3×4-1
=12-1
x=11ans
Hey ppl!^-^ Can you help me with this stupid problem (◔_◔)
5^2 x 5^(-5)= ??????
Answers
Answer and Step-by-step explanation:
[tex]5^{2} * 5^{-5} \\[/tex] is [tex]\frac{1}{125}[/tex]
This is because 5 times 5 is 25.
5 to the negative 5th is 1/3125.
Multiply these together and you get 1/125.
#teamtrees #WAP (Water And Plant)
Answer:
25×1/3125=0.008
Step-by-step explanation:
1. ...using indices law of negativity it will turn to 1 over 5 raise to 5
Please help 30 points!!'
Write an equation based on the following conditions in slope/y intercept form
Perpendicular to 3x-4y=9 through (-15,-4)
also can yall provide some shown work as my geometry teacher asked for shown work
Answers
Answer:
The equation of line perpendicular to given line passing through (-15,-4) is:
[tex]y = -\frac{4}{3}x-24[/tex]
Step-by-step explanation:
Given equation is:
[tex]3x-4y = 9[/tex]
The given equation is in standard form. We have to convert it into slope intercept form first.
The slope intercept form is:
[tex]y = mx+b[/tex]
So,
[tex]3x-4y=9\\3x-9 = 4y\\4y = 3x-9\\\frac{4y}{4} = \frac{3x-9}{4}\\y = \frac{3}{4}x - \frac{9}{4}[/tex]
The co-efficient of x is the slope of the line.
m = 3/4
The product of slopes of two perpendicular lines is: -1
Let m1 be the slope of line perpendicular to given line then
[tex]m.m_1 =-1\\\frac{3}{4} . m_1 = -1\\m_1 = -1 * \frac{4}{3} \\m_1 = -\frac{4}{3}[/tex]
Putting in slope-intercept form
[tex]y = m_1x+b\\y = -\frac{4}{3}x+b[/tex]
To find the value of b, putting (-15,-4) in equation
[tex]-4 = -\frac{4}{3}(-15) +b\\-4 = 20+b\\-4-20 = b\\b = -24[/tex]
The equation will be:
[tex]y = -\frac{4}{3}x-24[/tex]
Hence,
The equation of line perpendicular to given line passing through (-15,-4) is:
[tex]y = -\frac{4}{3}x-24[/tex]
6 cm
8 cm
8 cm
12 cm
The perimeter of the polygon above is
Answers
Answer:
12 cm !!!
hope you mark me bainliest or your friend
Which equations represent the line that is parallel to 3x – 4y = 7 and passes through the point (-4,-2)? Select two
options.
1.y=-3/4x + 1
2.3x – 4y = -4
3.4x – 3y = -3
4.y-2=-3/4(x-4)
5.y+2 =3/4 (x+4)
Hellllp ASAP no rocky :)
Answers
Answer:
y = 3/4x + 1 and 3x - 4y= -4
Step-by-step explanation:
I dont feel like explaining but just trust me bro
The Equation of parallel line is y= 3/7 x - 2/7.
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:
We have equation 3x – 4y = 7 and passes through (-4, -2).
Writing the given equation in slope intercept form as
3x = 7 +4y
4y = 3x- 7
y= 3/7 x - 4/7
so, the slope of parallel line is 3/7.
and, passes through (-4, -2).
y= 3/7 x +b
-2 = 3/7(-4) +b
-2 = -12 /7 + b
b = -2/7
So, the Equation of line is y= 3/7 x - 2/7.
Learn more about Slope here:
https://brainly.com/question/3605446
#SPJ6
help brainliest will be given 8 only
Answers
b. 26 vehicles
c. 10 vehicles
d. About 27%
Answer:
a)37
b)10
c)0 beacuse if there 11 then they would be speeding and also if it wrond try 10
d)28.571428571429%Step-by-step explanation:
giving brainliest !!!!
Answers
Answer:
please mark me as brainlist
Given the following functions, find and simplify (f • g)(x) f(x)=—x+3 g(x)=-x-1
Answers
Answer:
[tex](f\circ g)(x)= x + 4[/tex]
Step-by-step explanation:
Composite Function
Given f(x) and g(x) as real functions, the composite function [tex](f\circ g)(x)[/tex] is defined as:
[tex](f\circ g)(x)=f(g(x))[/tex]
It can be found by substituting g into f.
We are given the functions:
f(x) = -x + 3
g(x) = -x -1
Find
[tex](f\circ g)(x)=f(g(x))= - (-x -1) + 3[/tex]
Removing parentheses:
[tex](f\circ g)(x)= x + 1 + 3[/tex]
Simplifying:
[tex]\mathbf{(f\circ g)(x)= x + 4}[/tex]
Solve Algebraically 2^3-x=565
Answers
x = 3 − log 565/ log 2 = − 6.142107057
Step-by-step explanation:
2^3-x =565
Log 2^3-x = log 565
(3-x) times log 2 = log 565
3 − x = log 565 / log 2
3 − log 565 / log 2 = x
x = 3 − log 565/ log 2 = − 6.142107057
Answer:
x = -557
Step-by-step explanation:
2^3 is 2x2x2 which equals 8. 8 - x = 565. Move the constant to the right-hand side and change its sign. -x = 565 - 8. This is 557. Now change the negative sign on the x to a positive and the positive sign on the 557 to a negative. x= -557.
Alright Soldier I need help, Solve for Percent Error, Calculate the percent error if the experimental value of the density of gold is 18.7 g/cm^3 and the accepted value is 19.3 g/cm^3
Answers
Answer:
Step-by-step explanation:
so the steps to doing this are as follows :
Subtract the accepted value from the experimental value.
Take the absolute value of step 1.
Divide that answer by the accepted value.
Multiply that answer by 100 and add the % symbol to express the answer as a percentage.
|18.7-19.3|/19.3 = 0.031088 * 100% = 3.1%
Find the variable :
4t + 5.25 = 35.25
Answers
4t + 5.25 = 35.25
4t = 30
t = 30/4 or 7.5
35.25 - 5.25= 30
30/ 4 = 7.5 or 15/2
1. Adjacent angles are two angles in the same plane with a common
and a common
but no common interior points.
Answers
Answer:
Adjacent angles are two angles in the same plane with a common VERTEX and a common SIDE but no common interior points.
Step-by-step explanation:
Adjacent angles share a common side on the same vertes, but they do not overlap each other.
In the attached image, ∠ABD is adjacent to ∠DBC, but ∠ABC is not adjacent to any of them.
In a five-card poker hand, what is the probability of being dealt exactly one nine and no picture cards?
Answers
Answer:
0.0907
Step-by-step explanation:
There are 12 picture cards
There are 4 9's
There are 52-12-4 = 36 cards that are not 9's and not picture cards
(5*58905)/(52C5)
it takes two pizzas to feed five people how much pizza does it take to feed 45 people
Answers
Answer:
18 pizzas
Step-by-step explanation:
5x9=45
2x9=18
Welcome to Brainly :)
Answer:
18
Step-by-step explanation:
if it takes 2 pizzas to feed 5 people you 5 by 9 to get 45. You do the same with the 2 and 2 * 9 = 18
Can anyone help me ??
Answers
Answer:
16
Step-by-step explanation:
2 times 2 = 4 times 4= 16 times 1= 16
Answer:
16
Step-by-step explanation:
Which inequality has the graph shown below?
Oy > 2x – 3
O y < 2x - 3
oy > 2x - 3
O y < 3x + 1
Answers
Answer:
The answer is y < 2x -3
Step-by-step explanation:
You can read this as all values on the graph will be the value of x times 2 minus 3..
For example, if we wanted to know what the value of y would be if x =2, we would plug in 2 and get 2(2) - 3 or just 1. We can see at the graph that when x = 2 y does equal 1. **In this situation we are pretending that the < symbol is the equal symbol..
To actually find the answer you can graph each equation until you find it or do it this way:
1) Find the slope and determine if it it works for the given graph.
We can see that the slope of the given graph is positive and if we look closer we can see that the slope is 2 over and that we have a y-intercept of (0,-3).
2) We know that it is Option 2 instead of the first option because o the < sign. If it was option 1, then the shaded part of the graph would be on the other side of the line.
The inequality has the graph shown in the question. is to be considered as the y < 2x -3.
Calculation of an inequality function:Since
First determine the slope
So we can see that the slope of the given graph should be positive and then the slope should be 2 over and there is y-intercept of (0,-3).
So based on this, we can say that The inequality has the graph shown in the question. is to be considered as the y < 2x -3.
Learn more about y-intercept here: https://brainly.com/question/15587122
What are three expressions that have the sum or difference of 3/4
Answers
Answer:
-11/12 − 1/6
-3/5 + 3/20
-2/3 + 1/12
Step-by-step explanation:
Is m || n? Which theorem (which tool) did you use to decide?
Answers
Answer:
Yes. m is parallel to n. Since the 2 angles labelled are equal, by alternate angles rule, m is parallel to n.
Step-by-step explanation:
This is a question on angles. If you wish to venture further into it/understand this topic better, you may want to follow my Instagram account (learntionary), where I post some of my own notes on certain topics and also some tips that may be useful to you :)
Answer:
yes
Step-by-step explanation:
Yes m is parallel to n because the alternate interior angles are equal .
An amount of money that is deposited or borrowed that earns or is charged interest is called a what?
Answers
Answer:
the principal
Step-by-step explanation:
-1 1/2 minus positive 3 1/2--5/8 equals what
Answers
Answer:
[tex]2\frac{5}{8}[/tex]
Step-by-step explanation:
[tex]-1\frac{1}{2} - ( -3\frac{1}{2} ) - \frac{-5}{8} = 2\frac{5}{8}[/tex]
you purcharse 3 items for 4.23 about how much did you spend ?
Answers
Answer:
$12.69
Step-by-step explanation:
3 times 4.23=12.96
Answer:
$12.69
Step-by-step explanation:
you would multiply 4.23 by 3
hope this helps