Answer:
y = 2x - 2
Step-by-step explanation:
The slope-intercept form of the equation of a line is
y = mx + b
where m is the slope, and b is the y-intercept.
y = mx + b
First we find the slope, m.
slope = (difference in y)/(difference in x)
It does not make a difference which point is first and which point is second in finding the differences, but you must do the x- and y-differences in the same order.
slope = (-2 - 2)/(0 - 2) = -4/(-2) = 2
The slope is 2, so m = 2, and now we have:
y = 2x + b
We need to find the value of b, the y-intercept.
We use one of the given points. Let's use (2, 2). We plug in 2 for x and 2 for y and solve for b.
2 = 2(2) + b
2 = 4 + b
-2 = b
b = -2
Now that we know the y-intercept is -2, we substitute b with -2.
y = 2x + b
y = 2x - 2
Answer: y = 2x - 2
please help me | what is cos^6 x = cot^4*csc^2x-cot^4x????
Answer:
Write
csc
4
x
as
1
sin
4
x
and
cot
4
x
as
cos
4
x
sin
4
x
⇒
csc
4
x
−
cot
4
x
=
1
sin
4
x
−
cos
4
x
sin
4
x
=
1
−
cos
4
x
sin
4
x
Now recall that
a
2
−
b
2
=
(
a
−
b
)
⋅
(
a
+
b
)
and use this fact with
a
2
being and
b
2
being
cos
4
x
so that
a
is 1 and b is
cos
2
x
So
csc
4
x
−
cot
4
x
=
1
−
cos
4
x
sin
4
x
=
(
1
−
cos
2
x
)
⋅
1
+
cos
2
x
sin
4
x
But
cos
2
x
+
sin
2
x
=
1
so that
1
−
cos
2
x
=
sin
2
x
so
csc
4
x
−
cot
4
x
=
sin
2
x
⋅
1
+
cos
2
x
sin
4
x
=
1
+
cos
2
x
sin
2
x
=
(
1
sin
2
x
)
+
(
cos
2
x
sin
2
x
)
=
c
s
x
2
x
+
cos
2
x
Step-by-step explanation:
Answer:
so cot^6 (x) =cot^4 (x) csc^2 (x)-cot^4 (x) then you just manipulate the right side cot^4(x)csc^2(x)-cot^4(x) =cot^6(x) which is true
Step-by-step explanation:
Need to figure out x and y
Answer:
f(X)=7 X=1
X=2. f(X)=14
f(X)=21. X= 3
X=4. f(X)=28
X=5. f(X)=35
just substitute in the equation
Simplify the expression. Make sure all final answers are clearly labeled. Show all work.
3 divided by 2+√5
Answer:2 1/3
Step-by-step explanation:2+5=7 3 divided by 7 equals 2 1/3
Please Help me! ASAP
During the American Revolution, women... i need help now please i will give 11 points
1.ran family businesses.
2.cared for the troops.
3.helped raise money for the war.
4.all of the above
Answer:
its 4 or d
Step-by-step explanation:
hope this helps!
please mark me brainliest! thanks!
Your cat is 8 years younger than your friend. In 4 years, your friend will be twice as old as your cat. How old is your cat now?
years old
Answer:
your cat will be 12 your friend will be either 16 or 24
Step-by-step explanation:
Friend is 12 years old and cat is 4 years old.
What is equation?Equations are mathematical statements containing two algebraic expressions on both sides of an 'equal to (=)' sign. It shows the relationship of equality between the expression written on the left side with the expression written on the right side.
Given,
Cat is 8 years younger than your friend
Let age of friend be x
then, age of cat be x - 8
But In 4 years, your friend will be twice as old as your cat
x + 4 = 2(x - 8 + 4)
x + 4 = 2x - 16 + 8
x + 4 = 2x - 8
-2x + x = - 12
x = 12
Age of friend = 12 years
Age of cat = 12 - 8 = 4 years
Hence, 12 years is age of friend and 8 years is age of cat.
Learn more about equation here:
https://brainly.com/question/1529522
#SPJ5
The Pythagorean Theorem
(if the diameter of the table is 86 inches, will it fit through a rectangular door that measures 30 inches by 84 inches?)
Answer:
No it won't
Step-by-step explanation:
Because if the length of the door is either 30 or 84 it wont fit because both of those numbers are less than 86
Convert the number to scientific notation.
62,004,100=
x10
+
VI
B.
what is 2(x+6)-6x in simplest form
Answer:
-4x + 12
Step-by-step explanation:
2(x+6)-6x
2x + 12 - 6x
combine llike terms
2x - 6x = -4x
-4x + 12
Answer:
2(x+6)-6x=-4x+12
Step-by-step explanation:
So how I got that was I expanded 2(x+6): 2x+12 so I got 2x+12-6x
I simplified 2x+12-6x and I got -4x+12
Evaluate 3m to the second power n to the -2nd power for m= 2 and n= -3
Answer:
1296
Step-by-step explanation:
3 × 2 = 6
6 to the power -2 = 0.277777777777777777
0.277777777777777777 to the power -2 = 1296
The price of a flight was increased by 3% to £720. What was the price before the increase?
Give your answer to the nearest penny.
Factor the polynomial below.
x2 + 6x + 9
Answer:
Step-by-step explanation:
x²+6x+9=(x+3)²
Solve for c.
-2c = 8
Answer:
c = -4
Step-by-step explanation:
8/-2 = -4
Translate: Four less than twice a number is
twelve
Look at the Screenshot and ANSWER THE QUESTION
Answer:
Graph C is the answer.
Step-by-step explanation:
From the graphs attached,
Graph A
Given graph represents a cubic function.
Graph B
This graph represents a piecewise function.
Graph C
This graph represents an exponential function.
Graph D
Given graph represents a quadratic function.
Graph C is the answer.
How much Angela payed for the couch
Answer:
697.05$
Step-by-step explanation:
Mark as brainliest
ILL GIVE 50 POINTS
Which set of statements explains how to plot a point at the location (Negative 3 and one-half, negative 2)?
Start at the origin. Move 3 and one-half units right because the x-coordinate is Negative 3 and one-half. Negative 3 and one-half is between 3 and 4. Move 2 units down because the y-coordinate is -2.
Start at the origin. Move 3 and one-half units down because the x-coordinate is Negative 3 and one-half. Negative 3 and one-half is between -3 and -4. Move 2 units left because the y-coordinate is -2.
Start at the origin. Move 3 and one-half units down because the x-coordinate is Negative 3 and one-half. Negative 3 and one-half is between -3 and -4. Move 2 units right because the y-coordinate is -2.
Start at the origin. Move 3 and one-half units left because the x-coordinate is Negative 3 and one-half. Negative 3 and one-half is between -3 and -4. Move 2 units down because the y-coordinate is -2.
Answer:
Option 3 is right
Start at the origin. Move 3 and one-half units down because the x-coordinate is Negative 3 and one-half. Negative 3 and one-half is between -3 and -4. Move 2 units right because the y-coordinate is -2.
Hope this helps:)
It is B from my point of view
What is the solution to the system of equations?
Answer:
(3, -2)
Step-by-step explanation:
both of the equations are equal to y, which means they are equal to each other.
So you write them as equation(1) = equation(2)
and solve for x.
Next substitute the value of x to any of the equations and find y. And that is how I got (3 , -2)
Hope I was able to help:)
Chris had 30 dollars to spend on 3 gifts. He spent 9 7 10 dollars on gift A and 3 2 5 dollars on gift B. How much money did he have left for gift C?
Answer:
4 dolars left
Step-by-step explanation:
im smart
simplify. 3(2x + 1)
a.7x
b.9x
c.6x+3
Answer:
C. 6x+3
Step-by-step explanation:
Because 3 is outside of the parentheses so it has to multiply everything inside the parentheses.
3*2x is 6x.
3*1 is 3.
This results in 6x+3.
Step-by-step explanation:
C.6x+3 thats tge answer
what is the slope of the line shown below?
Answer:
A
Step-by-step explanation:
6/3
I messed up I see what I did wrong, so I leave it hereeee
Estefania can run 3/4 of a race in 2/3 hour. How long will it take her to complete the entire race?
Answer:
3/4 x = 2/3
If we multiply both sides by 4/3 we will have
x = 2/3 × 4/3 = 8/9 hour
Please help me 2x+y=2
Answer:
y=-2x+2
Step-by-step explanation:
Inverse of -2x+2 {x-2}{2}
How many unique triangles can be drawn with side lengths 12 cm and 16 cm, and a 50° included angle?
A. 0
B. 1
C. 2
D. an infinite number
can someone explain how im meant to do this please? :)
Answer:
you have to do
92×98=9016
then 9016=10(here we roud to 1 signification figure)
49×138=6762
6762=6
216×876=189216
189216=1
i think it’s the answers
pls help me thank you!
choose the best answer
3x^2-6x=29
a) no real solutions
b) one distinct, real solutions
c) two distinct, real solutions
Answer:C
Step-by-step explanation:
Find the area of the rectangle.. Single choice.
436 cm squared
399 cm squared
380 cm squared
417 cm squared
Answer:
399 cm squared.....Do you want explanation ??
Answer:
socratic
Step-by-step explanation:
use socratic take a pic then it searchers for you
4x^2-4x+1 factoring special cases
Answer:
(2x−1)(2x−1)
Step-by-step explanation:
Factor 4x2−4x+1
4x2−4x+1
=(2x−1)(2x−1)
At the fair concession stand, a drink costs $1.50, and a hot dog costs $2.75. If Jacob has $18 to spend on food, how many of each item can he buy?
3 drinks and 7 hot dogs
3 drinks and 5 hot dogs
2 drinks and 7 hot dogs
2 drinks and 5 hot dogs
Answer:
Answer is D (2 drinks and 5 hotdog's)
Step-by-step explanation: 1st answer is over as it is $19.25 for only the hotdogs. 2nd is $18.50 which is a little over. 3rd one is $22.25. And the forth one is $16.75 which is perfect because he cant buy anything else with the remainder of his money.
You can use trial and error for 3 drinks and 2 drinks and can see how many hot dogs are available for Jacob to buy in $18 budget.
Jacob, with $18 dollars for food, under given conditions, can buy:
Option D: 2 drinks and 5 hot dogs.
How to decide what amount of drinks and hot dogs are obtainable in given $18 budget?This can be modeled by mathematical expression with use of variables, and inequality.
Suppose that you can by [tex]x[/tex] drinks and [tex]y[/tex] hot dogs, then their amount should not exceed $18 and they should try to use that $18 as much as they can.
Since 1 drink costs $1.5 and 1 hot dog costs $2.75, thus,
[tex]1.5x + 2.75y \leq18[/tex]
Using trial and error for 2 and 3 drinks (we could've done fro 5 or 7 hot dogs too)For 2 drinks:
Since x = amount of drinks = 2, thus from the obtained inequality, we have:
[tex]1.5x + 2.75y \leq 18\\1.5 \times 2 + 2.75y \leq 18\\2.75y \leq 18 - 3\\y \leq \dfrac{15}{2.75}\\\\y \leq 5.555...\\y = 5[/tex]
We took y = 5 since it is closest integer less than 5.55... since we cannot buy drink or hot dog in decimal points generally and cannot spend more than $18
Thus, if Jacob buys 2 drinks, then he can by 5 hot dogs at max.
For 3 drinks:
Since drinks' amount increased, then hot dogs amount will have to decrease to keep them together under $18. And since in 2 drinks Jacob could by 5 hot dogs, thus, now he will have to buy less than 5 hot dogs, which are not given in options.
Thus,
Jacob, with $18 dollars for food, under given conditions, can buy:
Option D: 2 drinks and 5 hot dogs.
Learn more about inequalities here:
https://brainly.com/question/11901702
What 2 numbers multiply to make -48 and combine to make 2?
____ and ___
4 and -12 are equal to -48