Find a point on the line and the line's slope. y - 1 = -4/3 (x -4)
point on line:
slope:
Answer:
[tex]\displaystyle\text{Slope: } -\frac{4}{3}[/tex]
Point (4,1)
Step-by-step explanation:
The Equation of the Line
The point-slope form of the equation of a line is:
y - k = m ( x - h )
Where m is the slope and (h,k) is a point through which the line passes.
The given line is:
[tex]\displaystyle y-1=-\frac{4}{3}(x-4)[/tex]
If we compare the equation of this line, both the slope and the point through which is passes are clearly identifiable:
Slope:
[tex]\mathbf{\displaystyle -\frac{4}{3}}[/tex]
Point (4,1)
Let F(x) = 4^x
The new fiction g(x) = f(x-1) +3
Write the new equation for g
0
The sum of three numbers is 10 The sum of twice the first number, 3 times the second number, and 4 times the third number is 27 The difference between 6 times
the first number and the second number is 35. Find the three numbers
first number
second number
third number
Answer:
vjbsvjbavljjvldbsef
Step-by-step explanation:
PLEASE HELP (must show work) Show all work to factor x4 - 17x2 + 16 completely.
Assume y varies inversely as x. If y = 60 when x = 80, find x when y = -20
Answer:
I think the answer is -40
Step-by-step explanation:
what I did was added the -20 +-20Answer:
x=0
Step-by-step explanation:
so we are going to first subtract by both sides,
x=80 y=60
-20 -20
------------------------
x=60 y=40
then again,
x= 60 y=40
- 20 -20
---------------------
x=40 y=20
and again,
x=40 y=20
-20 -20
-----------------
x=20 y=0
then lastly again,
x=20 y=0
-20 -20
------------------
x=0 y=-20
ta da, hopefully this is helpful
Math standard form. help!
Answer:
y=mx+b is slope-intercept form
Ax+By=C is standard form.
IN y=mx+b, m represents the slope and B represents the y intercept.
To switch from standard form to slope-intercept form all we need to do is get y alone. thats it. By folowing these steps:
-6x+5y=-30
-6x+6x+5y=-30+6x - this cancels the x on the left side of the equation bringing us one step closer to getting y alone
5y=-30+6x
5y / 5=(-30+6x) / 5 -this last step leaves y alone and brings us to slope intercept form.
y=-6+30x
y=30x-6 - i switched the 30x and 6 because y=mx+b not y=b+mx
y=30x-6
SInce m represents the slope and b represents the y itnercept, 30 is the slope and -6 is the y intercept
30=m(slope)
-6=b(y-intercept)
Btw because the slope is 30 it means the line with point like so: / since it has a positive slope.
Hope this helps!
Step-by-step explanation:
Jordan invests £700 into his bank account.
He receives 10% per year simple interest
How much will Jordan have after 3 years?
Give your answer to the nearest penny where appropriate
Answer:
Jordan will have $ 910.00 after 3 years
Step-by-step explanation
Questions 7 & 9
For each label the “Extra Congruency Information.” Options- none, reflexive property, or vertical angles. Also label the “Postulate.” Options- SSS, SAS, ASA, AAS, HL, not congruent. (if you need help understanding please comment)
Answer:hart
Step-by-step explanation:
A sector of a circle of radius 80 mi has an area of 1600 mi2. Find the central angle (in radians) of the sector.
Answer:
The central angle of the sector is 0.5 radian
Step-by-step explanation:
given;
radius of the circle, r = 80 mi
area of the sector, A = 1600 mi²
Area of sector is given by;
A = ¹/₂r²θ
where;
θ is the central angle (in radians) of the sector
[tex]\theta = \frac{2A}{r^2}\\\\\theta = \frac{2*1600}{80^2}\\\\ \theta = 0.5 \ radian[/tex]
Therefore, the central angle of the sector is 0.5 radian
The central angle (in radians) of the sector is 28.66 degrees
The formula for calculating the area of a sector is expressed as:
[tex]A = \theta/360 \times \pi r^2[/tex]
Given the following parameters
radius r = 80mi
Area of sector A = 1600mi²
Substitute the given parameters into the formula
1600 = Ф/360 * (3.14)(80)²
1600 * 360 = 20,096Ф
Ф = 576000/20,096
Ф =28.66 degrees
Hence the central angle (in radians) of the sector is 28.66 degrees
Learn more here: https://brainly.com/question/12792310
Karl bought 3 1/2 gallons of milk that cost $2.70 per gallon.
What was the total cost of the milk?
Answer:
The total cost would be $9.45
Step-by-step explanation:
Let n = 5.
What is the value of the expression 9n2−2−n?
Enter your answer in the box.
Answer:
9 (5) 2 - 2 - 5 = 83
Which division problem is shown by the model?
Answer:
Ithink this would be 12/3
Step-by-step explanation:
12 blocks in total grouped into 3 groups.
The division problem shown here is 12 columns divided into a group of 3.
what is a picture model?Using models, or pictures, can help to visualize and solve math problems. Models can include number blocks, in which a small square equals 1, a long rectangle equals 10, and a large square equals 100.
Given here are 12 columns arranged in 3 square boxes
thus the picture problem must be arranging 12 columns using 3 groups
therefore, 12÷3 = 4 columns
Hence, the division problem is arranging 12 groups in 3 groups of 4 columns in each group.
Learn more about a picture models here:
https://brainly.com/question/28394013
#SPJ2
Solve "43 -
O a = 3/5
O a = 3/4 .
O a = 4/3
O a = 5/3
Answer:
the answer to this question is 4/3
Answer:
C 4/3
Step-by-step explanation:
you're welcome <3
3
The slope of the line that passes through the points (0,3) and (5, 13) is
Use the substitution method to solve the system of equations. Enter your
answer as an ordered pair.
x + y = 11
-X = -y-9
Answer:
Here ya go
Step-by-step explanation:
Examples: 1+2, 1/3+1/4, 2^3 * 2^2
(x+1)(x+2) (Simplify Example), 2x^2+2y a x=5, y=3 (Evaluate Example)
y=x^2+1 (Graph Example), 4x+2=2(x+6) (Solve Example)
69 or 420? ................
Answer:
420 ayeee
Step-by-step explanation:
Answer:
I meeeaaan, both are pretty good numbers ;P
Step-by-step explanation:
Triangle ADE is enlarged to form triangle ABC. What is the scale factor?
6cm,6cm,7cm,7cm,5cm,10cm
Find the sum. 637,391 + 372,088 *
Answer:
1,009,479
Step-by-step explanation:
dude there 8a some thing called as a CALCULATOR
Carry out your immediate computations to at least 3 decimal places
Find the value of x and YZ if Y is between X and Z.
XY = 4x, YZ = x, and XZ
25
Answer:
The value of x is 5
The length of YZ is 5 units
Step-by-step explanation:
If a point lies on a line segment, then it divides it into 2 parts, the sum of their length equals the length of the line segment
Let us use this fact to solve the question
∵ Point Y is between points X and Z
→ By using the fact above
∴ XY + YZ = XZ
∵ XY = 4x and XZ = x
∵ XZ = 25
→ Substitute then in the equation above
∴ 4x + x = 25
→ Add the like terms in the left side
∴ 5x = 25
→ Divide both sides by 5 to find x
∵ [tex]\frac{5x}{5}[/tex] = [tex]\frac{25}{5}[/tex]
∴ x = 5
∴ The value of x is 5
∵ YZ = x
∵ x = 5
∴ YZ = 5
∴ The length of YZ is 5 units
Please help asap, 10 points
Answer:
3x^2
................
You are at a restaurant and the check comes to a total of $11. If you want to leave a 17% tip, how much total money should you pay, to the nearest cent?
Answer: $12.87
Step-by-step explanation:
$11 x .17 = $1.87
$11 + $1.87 = $12.87
List the first 5 Multipluls of 30
Answer:
30*1 = 30 - 1st
30*2 = 60 - 2nd
30*3 = 90 - 3rd
30*4 = 120 - 4th
30*5 = 150 - 5th
Above are the first 5 multiples of 30.
Answer:
30,60,90,120,and 150. I hope this helps:)
Step-by-step explanation:
Find the slope of the line
y = 1/4x + 1/3
Thanks!
Answer:
0.0825
Step-by-step explanation:
1/4=0.25
1/3=0.33
Solve for the variable.
5t - 3 = 3t + 9
F
t = 6
G
t = 9
H
t = 3
J
t = 8
Answer:
F. t = 6
Step-by-step explanation
5t - 3 = 3t + 9
add 3t to both sides
2t - 3 = 9
add 3 to both sides
2t = 12
divide both sides by 2
t = 6
help me pleaseeeeee
Answer:
c
Step-by-step explanation:
Given f(x) = 4x+ 7 and g(x) = -3x+ 5 find g (f(-5).
20
44
-1
87
Answer:
44
....................
B is between A and C. If AC = 31, AB = x–6, and BC = 2x+10, find the value of x. (Hint: Draw a picture.)
x =
Out of 60 people at the movies, 21 are kids. What percent are adults?
Answer: it is 65 % 39/60=13/20
Step-by-step explanation: because the kids are 21/60 and the adult are 39/60
THIS IS 15 POINTS PLEASE
g(x) = -5x – 3
g(-2) = ?