A line passes through (9,2) and (12,-4). Write the equation of the line in standard form.
A. 2x + y = 20
B. 2x - y = 5
C. 2x - y = 16
D. 2x + y = 16
Answers
For the 1st equation,
2x + y = 20Putting x = 9, y = 2or, 2 (9) + 2 = 20or, 18 + 2 = 20or, LHS = RHSNow, putting x = 12, y = -4 in the above equation, we have2(12) + (-4) = 20or, 24 - 4 = 20or, LHS = RHS.So we can see that the first equation is the equation of the line.This is given in the graph in the picture.Like this way, if we check with other equations, we see that they are not the required equation of the line.Answer:
A. 2x + y = 20
Hope you could get an idea from here.
Doubt clarification - use comment section.
Related Questions
9/5 - (-2 7/10) and write it as a fraction and simplest form
Answers
Answer:
probably 4.5 if im not mistaking
Answer:
4 1/2
Step-by-step explanation:
(-2 7/10) = (-2.7)
9/5 = 1.8
1.8 - (-2.7)
= 1.8 + 2.7
= 4.5 or 4 1/2
4x^2+8x-12 in vertex form
Answers
Answer:
y = 4 (x + 1)² - 16
Step-by-step explanation:
Step 1: Equation at the end of step 1
(2²x²+8x)-12
Step 2:
Step 3: Pulling out like terms
Pull out like factors :
4x² + 8x - 12 = 4 • (x² + 2x - 3)
Trying to factor by splitting the middle term
Factoring x²+ 2x - 3
The first term is, x²
its coefficient is 1 .
The middle term is, +2x its coefficient is 2 .
The last term, "the constant", is -3
Step-1 : Multiply the coefficient of the first term by the constant 1 • -3 = -3
Step-2 : Find two factors of -3 whose sum equals the coefficient of the middle term, which is 2 .
-3 + 1 = -2
-1 + 3 = 2 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -1 and 3
x² - 1x + 3x - 3
Step-4 : Add up the first 2 terms, pulling out like factors :
x • (x-1)
Add up the last 2 terms, pulling out common factors :
3 • (x-1)
Step-5 : Add up the four terms of step 4 :
(x+3) • (x-1)
Which is the desired factorization
Final result :
Final result :
4 • (x + 3) • (x - 1)
Now convert to vertex form:
y = 4 (x + 1)² - 16
Find the equation of the normal to the curve in y=mx+b format : p(t) = 3t^2 - 8t + 3 at t = 3
Answers
Answer:
[tex]y=10x+24[/tex]
Step-by-step explanation:
Find the derivative of the function
[tex]p'(t)=\frac{d[p(t)]}{dt}=\frac{d}{dt}(3t^2-8t+3)=6t-8[/tex]
Determine the slope of p(t) at t=3:
[tex]p'(3)=6(3)-8=18-8=10[/tex]
Find p(3):
[tex]p(3)=3(3)^2-8(3)+3=3(9)-24+3=27-21=6[/tex]
Determine y-intercept:
[tex]y=mx+b[/tex]
[tex]6=10(3)+b[/tex]
[tex]6=30+b[/tex]
[tex]-24=b[/tex]
Final equation:
[tex]y=10x-24[/tex]
What is the difference? StartFraction x 5 Over x 2 EndFraction minus StartFraction x 1 Over x squared 2 x EndFraction StartFraction x squared 4 x minus 1 Over x (x 2) EndFraction StartFraction x squared 4 x 1 Over x (x 2) EndFraction StartFraction 4 Over negative 1 (x squared x minus 2) EndFraction StartFraction x squared 6 x 1 Over x (x 2) EndFraction.
Answers
The difference of the given fraction is expressed as [tex]\frac{x^2+4x-1}{x(x+2)}[/tex]
Given the expression:
[tex]\frac{x+5}{x+2}-\frac{x+1}{x^2+2x} \\[/tex]Take the LCM of the fraction to have:
[tex]=\frac{x+5}{x+2}-\frac{x+1}{x(x+2)} \\=\frac{x(x+5)-(x+1)}{x(x+2)} \\=\frac{x^2+5x-x-1}{x(x+2)}\\=\frac{x^2+4x-1}{x(x+2)}[/tex]
Hence the difference of the given fraction is expressed as [tex]\frac{x^2+4x-1}{x(x+2)}[/tex]
Learn more on fractions here; https://brainly.com/question/78672
Answer:
its B. x^2+4x+1 / x(x+2)
Step-by-step explanation:
did it on edge
Triangle DCB is congruent to triangle IGH what is an less than H
Answers
Answer:
no cuh
Step-by-step explanation:
the formula to find the curved surface area of the cone
Answers
Step-by-step explanation:
the formula for finding curved surface area of the cone is is pi ×r ×l
graph -1,-1 on this graph
Answers
Answer:
so that's how you plot their intersection
Is this correct? And if it is, what's the solution?
Answers
Answer:
No the graph is not correct. The point of intersection is (-3, 4)
Points on line y = x + 7 are (-3, 4) (0, 7) and (2, 9)
Points on line y = -1/3x +3 are (-3, 4) (0, 3) and (-6, 5)
Step-by-step explanation:
y = x + 7 do not change
y = -1/3x + 3 substitute into the top equation and solve for x
-1/3x + 3 = x + 7
-3 = -3
-1/3x = x + 4
- x = -x
-1 1/3x = 4
- 4/3x = 4 Changed -1 1/3x to -4/3x
x = 4/ -4/3
x = -3
y = x + 7
y = -3 + 7
y = 4 Point of intersection is (-3, 4)
Which expression is equivalent to − 7 x + 6 ( x − 8 2 ) − 2 ( x + 3 ) + 10 ? A. − 3 x + 40 B. − 15 x − 20 C. − 3 x − 20 D. 15 x + 40
Answers
Answer: D i think
Step-by-step explanation:
The equivalent expression of the expression − 7x + 6 (x − 8/2) − 2 (x + 3) + 10 will be − (3x + 20). Then the correct option is C.
What is an equivalent expression?The equivalent is the expression that is in different forms but is equal to the same value.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
The expression is given below.
⇒ − 7x + 6 (x − 8/2) − 2 (x + 3) + 10
Simplify the expression, then we have
⇒ − 7x + 6 (x − 8/2) − 2 (x + 3) + 10
⇒ − 7x + 6x − 24 − 2x − 6 + 10
⇒ − 3x − 20
⇒ − (3x + 20)
The equivalent expression of the expression − 7x + 6 (x − 8/2) − 2 (x + 3) + 10 will be − (3x + 20). Then the correct option is C.
More about the equivalent link is given below.
https://brainly.com/question/889935
#SPJ5
HELLPPPP PLEASEEEE IM GIVING 100 POINTS
which is the equation of the line in slope-intercept form
Enter your answer in the boxes
Y=__x+__
Answers
Answer:
Y= -5x + 6Y
Step-by-step explanation:
(-5, -2.5) to (1.5, 6)
Answers please ASAP!!!
Answers
(-4/5)/-1= 4/5
(-2/5)/-1= 2/5
(4/5)/-1= -4/5
1/-1= -1
The solution is x < -2/5
Which is 5log x - 6log (x - 8) written as a single logarithm?
Answers
Answer:
log[x⁵/(x-8)⁶]
Step-by-step explanation:
5log(x) - 6log(x-8)
log(x⁵) - log((x-8)⁶)
log[x⁵/(x-8)⁶]
Jeremiah and Cassie went to dinner. Jeremiah’s meal was $25 and Cassie’s was $23. They each got a Pepsi for an additional $3.25. If they planned to leave a 15% tip for their waiter, how much should they leave?
Answers
Answer:
8.175$
Step-by-step explanation:
If we do 23+25+(3.25)×2
The sum of all the bought
It will equal to 54.5
So if we do as the waiter planned
We must to 54.5×15%=8.175$
Pls help!!!!!!!!!!!!!
Answers
Answer:
eat tacos until you bloat
Step-by-step explanation:
AHAHAHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHH MAMAMAMAMAMAA
Find the equation of the line with slope of 2 passing through (3,1)
pplleeaassee
Answers
The equation of the line is y-2x+5=0 I believe. Good luck :)
7 grade math hellp me
Answers
Answer:
P=25
Step-by-step explanation:
Justin's pays is represented by this line graph.
How much is Justin paid for one hour of work?
Answers
Answer:
He is been paid $7 per hour
Step-by-step explanation:
140dollars/ 20 hours
Miles bought 3.75 acres of land in 1993. In 1997, he bought enough land to double his property. Then in 2001, Mis was forced to sell 2.9 acres of land. In 2005, he gave 25% of his remaining land to his daughter. If he did not buy or sell and more land, how much land does miles have now.
A. 2.6 acres C. 7.8 acres
B. 3.45 acres D. 1.15 acres
Answers
Answer: B: 3.45
Step-by-step explanation: First, we take 3.75 and double it, or multiply it by 2 giving us 7.5, then, we subtract 2.9 from 7.5, giving us 4.6. then we take away 25% of 4.6, or 1.15, giving us *3.45*.
3. Solve for side length BD
A
31
D
13 cm
I
47
C
B
Answers
Answer:
A
Step-by-step explanation:
this is beacuse of the ? mark!
Glad this will help
A carpet cleaning company charges $55 per hour. Is the relationship a proportional relationship? Explain. Complete the table.A. Yes it has a constant rate change.B. Yes it has a constant rate of change.C. No it does not have a constant rate of change.
Answers
Answer:C
Step-by-step explanation:
NEED HELP ASAP 50 POINTS PLEASE DO ALL OF THEM !!!!!in the item Bank are key terms and expressions, each of which is associated with one of the columns. Some terms may display additional information when you click on them. Drag and drop each item into the correct column. Order does not matter. 1 2 4 3 5/6 7 8 ITEM BANK Move to Bottom 1&8 267 3 &5 3 & 6 3 & 8 4 & 5 4 & 6 4&7 Alternate Interior Zs Corresponding Ls Alternate Exterior Zs Consecutive Interiors 1 & 5 2 & 6
Answers
Answer:
the top two on the right hand corner go in coressponding the one by the middle of the top row gos in alternative int and the far left gos in alt in bottom two go in cosecutive the middle far right go alt int middle row far left consecutive interior left gos alt ext and middle row right gos alt
Step-by-step explanation:
Sorry if this is late lol. Hope this helps other people too though.
Alternative interior
4 & 6
3 & 5
Corresponding
1 & 5
4 & 7
2 & 6
3 & 8
Alternative
1 & 8
2 & 7
Consecutive
4 & 5
3 & 6
Cheryl is sailing on Lake Superior. A shipwreck lies below her and its location is represented by a negative amount. A helicopter is flying above her and its location is represented by a positive amount. The shipwreck is a greater distance from Cheryl than the helicopter. Which expression could represent a comparison of the possible absolute values of the shipwreck and helicopter?
A) |–125| < |45|
B) |–98.5| < |23.7|
C) |–174.6| > |204|
D) |–362.5| > |45.8|
Answers
Answer:
D
Step-by-step explanation:
To solve this, we can go through each answer and see if it is correct.
A)
|–125| < |45|
When comparing absolute values, and the absolute value signs (the | lines) are only around one number, we can ignore the negative. Thus, we have
125 < 45
125 is greater than 45, so this is false
B)
|–98.5| < |23.7|
98.5 < 23.7
98.5 is greater than 23.7, so this is false
C)
|–174.6| > |204|
174.6 > 204
174.6 is less than 204, so this is false
D)
|–362.5| > |45.8|
362.5 > 45.8
362.5 is greater than 45.8, so this is true
Which algebraic expression represents this phrase?
the product of 40 and the distance to the finish line
A. 40-d
B. 40+ d
C. 40xd
D. 40/d
Answers
Answer:
40-d
Step-by-step explanation:
let f(x)=5x+5 find f(-1)
I need your help with this. please help me
Answers
[tex]f(x) = 5x+5\\\\f(-1) = 5(-1) +5 = -5+5=0[/tex]
the pentagons ABCDE and JKLMN are similar find the length x of JK
Answers
answer = 4
Answer:
x = 4
Step-by-step explanation:
Since the figures are similar then the ratios of corresponding sides are in proportion, that is
[tex]\frac{JK}{AB}[/tex] = [tex]\frac{KL}{BC}[/tex] , substitute values
[tex]\frac{x}{2}[/tex] = [tex]\frac{8}{4}[/tex] = 2 ( multiply both sides by 2 to clear the fraction )
x = 4
Julie estimated her town's population at 77,500. The actual population of her town is 75,000,
Find the percent error.
Answers
Answer:
3.3%
Step-by-step explanation:
77500-75000=2500
2500/75000 x100=3.3%
Find the area of the trapezoid
Answers
Answer:
18000Step-by-step explanation:
Given,
Back of lot of the trapezoid = 175
Front of lot of the trapezoid = 185
Length of lot of the trapezoid = 100
Therefore,
Area of the given trapezoid
[tex] = \frac{a + b}{2} c[/tex]
[On putting values][tex] = \frac{175 + 185}{2} \times 100[/tex]
[On Simplification]= 360 × 50
[On multiplying]= 18000
Hence,
The required area of the given trapezoid is 18000 (Ans)
Find the 12th term of the following geometric sequence.
10, 30, 90, 270
Answers
Answer:
1,771,470
Explanation:
10(3^n-1)
The following function represents the value of a car, in dollars, after x years: f(x) = 24,000(0. 92)x What does 0. 92 represent? The present value of the car The value of the car after x years The decrease in the value of the car, which is 92% The decrease in the value of the car, which is 8%.
Answers
0.92 represents the decrease in the value of the car which is 8% and this can be determined by using the given data.
Given :
The given function represents the value of a car, in dollars, after x years.[tex]f(x)=24000(0.92)x[/tex]The following steps can be used in order to determine what does 0.92 represents:
Step 1 - Write the given function.
[tex]f(x)=24000(0.92)x[/tex]
Step 2 - In the given function $24000 represents the original value of the car.
Step 3 - According to the given data, 'x' represents the number of years.
Step 4 - Also in the given function, '0.92' represents the decrease in the value of the car which is 8%.
Therefore, the correct option is D).
For more information, refer to the link given below:
https://brainly.com/question/5245372
Help help hep math math
Answers
[tex]300 {ft}^{2} [/tex]
Step-by-step explanation:
d=20
r=10
π=3
[tex]a = \pi{r}^{2} [/tex]
[tex]a = (3) {(10)}^{2} [/tex]
[tex]a = 300[/tex]
Answer:
A = 300 ft^2
Step-by-step explanation:
First we need to find the radius
r = 1/2 d
The diameter is 20
r = 1/2(20) = 10
A =pi r^2
We are using 3 for pi
A = 3( 10)^2
A = 3 * 100
A = 300 ft^2