Answer:
x-2y=7 or y=[tex]\frac{1}{2}x-\frac{7}{2}[/tex]
Step-by-step explanation:
Hi there!
We are given the line 2x-4y=8, and we want to write an equation of the line that is parallel to it and passes through (3, -2)
Parallel lines have the same slope, so it would be a good idea to find the slope of 2x-4y=8
The equation is currently written in standard form (ax+by=c), where a, b, and c are free integer coefficients, but a and b CANNOT be equal to 0, and a CANNOT be negative
In order to find the slope of the line, we can rewrite it in another form; for example, slope-intercept form (y=mx+b, where m is the slope and b is the y intercept)
To rewrite the line in this way, we'll need to isolate y on one side.
So start by subtracting 2x from both sides
-4y=-2x+8
Divide both sides by -4
y=[tex]\frac{1}{2}x[/tex]-2
The slope of the line 1/2, as it's in the place of where m is.
It's also the slope of the line parallel to it.
We can write the equation of the new line in slope-intercept form. Here's what we know so far:
y=[tex]\frac{1}{2}x[/tex]+b (b is a placeholder for the y intercept)
So we'll need to find b.
As the equation passes through the point (3, -2), we can use it to solve for b
Substitute 3 as x and -2 as y:
-2=1/2(3)+b
Multiply
-2=3/2+b
Subtract 3/2 from both sides:
-7/2=b
Substitute -7/2 as b in the equation:
y=[tex]\frac{1}{2}x-\frac{7}{2}[/tex]
The equation can be left as that, or you can convert it back into standard form
Subtract [tex]\frac{1}{2}x[/tex] from both sides, as the variables are on one side.
[tex]-\frac{1}{2}x[/tex]+y=[tex]-\frac{7}{2}[/tex]
Remember that the coefficient in front of x (a) CANNOT be negative, and also the free coefficients a, b, and c CANNOT be fractions.
So in order to clear the fractions and to change the signs, multiply both sides by -2
x-2y=7
Hope this helps!
5trig review please help me
Answer:
Is A
Step-by-step explanation:
Answer:
4).3√42ft
5).√3 yd
.....................
What is the slope of the line that passes through the points (2, −3.5) and (4, 5.5)?
A.9/2
B.1/3
C.2/9
Answer: the answer is c) hope this helps
Step-by-step explanation: please give brainliest
Answer:
A. 9/2
Step-by-step explanation:
Use formula m=([tex]y_{2} \\[/tex] -[tex]y_{1}[/tex])/([tex]x_{2}[/tex]-[tex]x_{1}[/tex])
(5.5-(-3.5))/ (4-2)
[tex]\frac{9}{2}[/tex]
i have no clue how to do this n it’s in f tmrw pls help lol
Area = w × h
w = width
h = height
please help me
17.97 = n/3 − –14
Answer:
n=11.91
Step-by-step explanation:
help me pls tell methe answer
x/3
Hope this helped uou, have a good day bro cya)
can someone help me please
Answer:
#5) Its line “k”
Well to solve this you need to know what negative slopes are.
They decrease from height from left to right
And also a slope is always calculated like this
rise -> run
Think of it like a bed.
You have to wake up which means you have to rise and then you run to do whatever it is you gotta do.
Rise is going vertical and run is going horizontal.
So for line K you have it because since its negative its -3/1 so technically its -3 rise(basically fall since its negative), 1 run (right).
#6) 1/2 is the slope of line N. Or (c)
Well n is a potsive slope so we can automatically remove a and b.
And we can count like this, it started from the orgin it looks like (but you can use any given point really) and then just follow it, rise 1 and run 2. Rise 2 and run 3 doesn’t work so it has to be 1.2 or (c)
Jamie is looking for the rate and unit rate of the following ratio below.
12 napkins costs 20 cents
What is the rate AND unit rate of this ratio?
Answer: in explanation
Step-by-step explanation:
Rate is simplest form, so 3 napkins for 5 cents.
Unit rate is for 1 x value, so 1 napkin for 0,6 cents.
Divide. Give the quotient and remainder. 47 ÷ 5
Answer:
9 Remainder 2 which is also 9.4
Step-by-step explanation:
The closest to a full number would be 9. So do 9*5 to get 45. With a remainder of 2.
Brainliest maybe? I need one more and I level up in rankings.
Answer:
9 remainder 2.
Step-by-step explanation:
5 * 9 = 45
47 - 45 = 2.
i need to know which object is moving faster
Answer:
B
Step-by-step explanation:
It has a not as steep incline
i= $100.10
p= $1100
r= 10.0%
t= ? years
Step-by-step explanation:
1 year
thabkyou for brainly
The difference between 1/3 of a certain number and 1/4 of the same number is 3. what is that number?
Answer:
36
Step-by-step explanation:
(1/3)x - (1/4)x = 3
multiply by 12 to clear the fraction
4x - 3x = 36
x = 36
Stephan is having a fundraising and decides to sell some candy. He bought the box for $20, and
charges $0.50 per candy that he sells. How many does he need to sell in order to make a profit?
Answer: he would need to sell at least 41 candies to make a profit
Is the expression a polynomial? If yes, write in standardform, if not state why not
1.
[tex]\frac{2x+3}{x^{2} }[/tex]
2.
[tex]2x+5x^{2} -99[/tex]
3.
[tex](\sqrt{8x^{3}}) +2x^{4}+2+x[/tex]
4.
[tex]15x+4x^{-2}[/tex]
5.
[tex]-3x^{4} +7x+12x^{2}[/tex]
Answer:
Step-by-step explanation:
1) Not a polynomial. Because x² is in the denominator.
2) Yes, it is a polynomial.
Standard form: 5x² + 2x - 99
3) Not a polynomial.
[tex]\sqrt{8x^{3}} = (8x^{3})^{\frac{1}{2}} = 8^{\frac{1}{2}}x^{\frac{3}{2}}[/tex] .
Power of x is a fraction. so , it is not a polynomial.
4) Power of x is (-2). Power of x should not be a negative integer. SO, it is not a polynomial.
5) Yes:
Standard form: -3x⁴ + 12x² + 7x
which expession represents the product of 3 and 7
3 × 7
i took the test
help ur friend out would ya mate?
Answer:
49
Step-by-step explanation:
multiply them by 7
21 = w —28
w = 28 + 21
w = 49
I basically just have to find the angles but I also want to understand so if you could explain?
9514 1404 393
Answer:
c = 108°
d = 106°
Step-by-step explanation:
There are 2 basic rules involved here. From them, a number of others can be derived in order to simplify some calculations.
angles forming a linear pair are supplementary (total 180°)interior angles of a triangle total 180°The derived relations we can use in this problem are ...
vertical angles are congruentan exterior angle of a triangle is equal to the sum of the opposite interior angles__
cThe vertical angle to 78° is one of two remote interior angles with respect to exterior angle c. The other is the one marked 30°. That means ...
c = 78° +30* = 108°
__
dAngles d and 30° are two of the three angles in the largest triangle. The third is the vertical angle to 44°, so it is 44°. The sum of angles in that triangle is 180°:
d + 30° +44° = 180°
d = 180° -74° = 106°
Giúp mình giải với mọi người. Cẩm ơn rất nhiều
Answer:
B. 4√5
Step-by-step explanation:
x bằng căn bậc hai của (8^2 + 4^2) theo định lý pytago, trong tam giác vuôn, c^2 = a^2 + b^2
how did the Iraq war impact the united states
Answer: the Iraq war drained Billions of US dollars, putting us into debt we're still trying to get ourselves out of. and it was also one of the bloodiest wars with 4,500 American troops killed. saddam Hussain was also captured and convicted of war crimes.
Step-by-step explanation:
The Iraq war drained Billions of US dollars, putting us into debt we're still trying to get ourselves out of. and it was also one of the bloodiest wars with 4,500 American troops killed. saddam Hussain was also captured and convicted of war crimes.
We know that,
A Gallup poll made on behalf of CNN and USA Today concluded that 79% of Americans thought the Iraq War was justified, with or without conclusive evidence of illegal weapons. 19% thought weapons were needed to justify the war.
Under these assumptions, oil price increases from 2003-2008 due to the Iraq war reduced total U.S. income GDP by a total of approximately $274 billion, a direct transfer of about $124 billion and a further GDP effect of $150 billion.
learn more on Iraq war click:
https://brainly.com/question/16244993
#SPJ2
PLS HELP QUESTION 8 ASAP ILL GIVE BRAINLIEST
Answer:
Ryan sold 12 cell phones
Step-by-step explanation:
2000+15x12
The radius of a circle is 20 cm. Find its area in terms of π π.
Answer:
A = [tex]400\pi cm^2[/tex]
Step-by-step explanation:
Area of a circle is:
A = πr²
We are given a radius of 20 cm.
A = πr²
A = π(20)²
A = π400
A = 400πcm²
Hope this helps.
proves that the sum of
5 consecutive natural numbers is divisible by 5
Answer:
n = 5m + 10 = 5(m + 2), since m + 2 is an integer, then the n is divisible by 5.
Step-by-step explanation:
Answer:
Natural numbers are simply positive integers. For now, refer to the middle number (the third number), as x. Thus, the numbers are: x - 2, x - 1, x, x + 1, and x + 2. Simply add all these numbers to get 5x, a number that is divisible by 5. As such, you can conclude that any 5 consecutive numbers are divisible by 5, and the quotient would be the third, or middle number.
Hope it helps :) and let me know if you want me to elaborate.
Mark is a plumber. He charges $28 per job plus S20 per hour. If the
total labor bill for a job was $58, how many hours did Mark work?
Answer:
He worked 1.5 hours
Step-by-step explanation:
58-28= 30
30/20 per hour
1.5
approximate the number ∛-12 to the nearest a) integer and b) tenth
Answer:
Below in bold.
Step-by-step explanation:
∛-12
The nearest cube to -12 is -8 ( -27 is the next after -12)
a) The answer is -2.
b) we can do this by trial and improvement
It must be between -2 and -3, closer to -2 than 3 so first we guess -2.1
(-2.1)^3 = -9.261
(-2.2)^3 = -10.648
(-2.3)^3 = `2.167 - very close
Answer is -2.3 .
Please explained that answer!
Answer:
f(x)= -1/2x+1
Step-by-step explanation:
The slope is negative because the graph goes up then to the left, making it negative. The slope is also 1 half because the slope is measured by rise over run. It rises once, then goes to the left twice. 1/2. It's also plus 1 because the graph cross the y-intercept at positive 1.
which pair of terms are not like terms?
A. 4a and 7a
B. 3p^2q and -p^2q
C. 2mn and mn^2
D. -x and 3x
Answer:
C.
Step-by-step explanation:
Like terms must have exactly the same variables and exactly the same exponents.
In C., you have mn and mn^2. That makes the variable parts not the same, so they are not like terms.
Answer: C.
50 POINTS PLZ HELP What is the common denominator (LCD) of 6 5/7 and 6 1/3?
Answer:
21Step-by-step explanation:
Denominators of the fractions are 7 and 3, which are mutually prime numbers.
The LCD is the product of 7 and 3:
7*3 = 21Simplify into mixed fraction
[tex]\\ \sf\longmapsto 6\dfrac{5}{7}=\dfrac{47}{7}[/tex]
[tex]\\ \sf\longmapsto 6\dfrac{1}{3}=\dfrac{19}{3}[/tex]
Find LCD
[tex]\\ \sf\longmapsto 7(3)[/tex]
[tex]\\ \sf\longmapsto 21[/tex]
Maureen is a lawyer who used to charge her clients $460 per hour. Maureen recently reconsidered her rates and ultimately decided to charge $414 per hour. What was the percent of decrease in the billing rate?
Answer:
10%
Step-by-step explanation:
460 - 414 is 46
Divide 46 by 460 to get 0.1
0.1 is equal to 10%
Dr Michael prescribes 300mg a day of medicine to a patient. Each pill has 15mg of medicine. How many pills will the patient need for
Answer:
20
Step-by-step explanation:
15 x 10 = 150. 150 x 2 = 300. 300mg = 20 pills.
True or false: This system of equations has no solution.
y=4/32x+2 y=2/16x-1
help me pls help please???
Answer:
3 – x
Step-by-step explanation:
A number in this case we will as x. And 3 less than x is -
3 – x
x - 3
Hope i helped ya!
