Write an equation of the line that passes through the point (6,2) and is perpendicular to the line y=3x+3
Answer:
y = - [tex]\frac{1}{3}[/tex]x + 4
Step-by-step explanation:
To find the slope of a perpendicular line, find the negative reciprocal of the slope.
The slope is 3 so the slope of the perpendicular line would be - [tex]\frac{1}{3}[/tex]
________________
Then use point slope form to find the equation of the perpendicular line:
y - [tex]y_{1}[/tex] = m (x - [tex]x_{1}[/tex] )
point = (6, 2)
slope = - [tex]\frac{1}{3}[/tex]
y - 2 = - [tex]\frac{1}{3}[/tex] (x - 6)
________________
If you want it in slope intercept form, you can just rearrange the equation:
y = 2 - [tex]\frac{1}{3}[/tex]x +2
y = - [tex]\frac{1}{3}[/tex]x + 4
This square potholder has a side of 8 inches. What is its area?
Answer:
64 i[tex]n^2\\[/tex]
Step-by-step explanation:
ok so first the shape is a square which means all sides are the same length so
8*8 = 64
Have a nice day! :-)
Solve pls brainliest!
answer both i need helpp!
Answer:
1st im not sure yet 2nd A. -4 B. 4
Step-by-step explanation:
I need help I don’t understand
Answer:
*Replace each "x" with the required numbers .
1) g (14) ; Ans;
[tex] g(x) = 2x \\ g(14) = 2(14) \\ g(14)= 28 [/tex]
___o_o___
2) f (-8) ; Ans;
[tex]f(x) = x + 3 \\ f( - 8) = - 8 + 3 \\ f( - 8) = - 5[/tex]
___o_o___
3) j (3) ; Ans;
[tex]j(x) = ( - 1)^{x + 2} \\ j(3) = {( - 1)}^{3 + 2} \\ j(3) = {( - 1)}^{5} \\ j(3) = - 1[/tex]
___o_o___
4) h (4) ; Ans;
[tex]h(x) = {3}^{x} \\ h(4) = {3}^{4} \\ h(4) = 81[/tex]
___o_o___
5) f (2.8) ; Ans;
[tex]f(x) = x + 3 \\ f(2.8) = 2.8 + 3 \\ f(2.8) = 5.8[/tex]
___o_o___
6) j(-5) ; Ans;
[tex]j(x) = {( - 1)}^{x + 2} \\ j( - 5) = {( - 1)}^{ - 5 + 2} \\ j( - 5) = {( - 1)}^{ - 3} \\ \\ j( - 5) = \frac{1}{ {( - 1)}^{3} } \\ \\ j( - 5) = \frac{1}{ - 1} \\ \\ j( - 5) = - 1[/tex]
___o_o___
7) g(3/4); Ans;
[tex]g(x) = 2x \\ \\ g( \frac{3}{4} ) = 2( \frac{3}{4} ) \\ \\ g( \frac{3}{4} ) = \frac{3}{2} \\ \\ g( \frac{3}{4} ) = 1.5[/tex]
___o_o__
8) [h(6.2)]² ; Ans;
[tex]h(x) = {3}^{x} \\ h(6.2) = {3}^{6.2} \\ h(6.2) = 908.13785497 \\ \\ {(h(6.2))}^{2} = ({3}^{6.2})^{2} \\ {(h(6.2))}^{2} = 824714.36364715[/tex]
___o_o___
9) j(2) + g(-3) ; Ans;
[tex]j(x) = {( - 1)}^{x + 2} \\ j(2) = {( - 1)}^{2 + 2} \\ j(2) = {( - 1)}^{4} \\ j(2) = 1 \\ \\ g(x) = 2x \\ g( - 3) = 2( - 3) \\ g( - 3) = - 6 \\ \\ \\ j(x) + g(x) \\ j(2) + g( - 3) \\ 1 + ( - 6) \\ 1 - 6 \\ j(2) + g( - 3) = - 5[/tex]
___o_o___
10) h(1) - f(-10) ; Ans;
[tex]h(x) = {3}^{x} \\ h(1) = {3}^{1} \\ h(1) = 3 \\ \\ f(x) = x + 3\\ f( - 10) = - 10 + 3 \\ f( - 10) = - 7 \\ \\ \\ h(x) - f(x) \\ h(1) - f( - 10) \\ 3 - ( - 7) \\ 3 + 7 \\ = 10 \\ h(1) - f( - 10) = 10[/tex]
___________o____o__________
**We look at the table. If f(4) or f(-2) is required, it came from f(x) by substitution each x with the required numbers, and the result is in the table f(x) .
***But if he says that f(x) is equal to a number, he means the resulting table f(x) and asks for the "x" that you take from the table "x" .
Table (1) Ans;
f(4) = –3
f(-2) = – 6
If f(x)= -3 ,then x = 4
If f(x) = 1 , then x = 3
___o_o___
Table (2) Ans;
f(4) = –7
f(-2) = 1
If f(x)= -3 ,then x = 0
If f(x) = 1 , then x = - 2
___o_o____
Table (3)Ans;
f(4) = 7
f(-2) = 3
If f(x)= -3 ,then x = 6
If f(x) = 1 , then x = 0
I hope I helped you^_^
there are five numbers that average 260. Three of the numbers are 63, 41, and 36. The last two numbers are the same as each other. What are the last two numbers?
Answer:
70
Step-by-step explanation:
I added the numbers given then subtracted from the given number which left 140. The answer is the same number twice which would be 70.
A gardener will use up to 220 square feet for planting flowers and vegetables. She wants the area used for vegetables to be at least twice the area used for flowers. Let x denote the area (in square feet) used for flowers. Let y denote the area (in square feet) used for vegetables. Shade the region corresponding to all values of x and y that satisfy these requirements.
4p - 3=17
Please help
Answer:
hey there,
4p=17+3p=20/4So now p=5Step-by-step explanation:
#BEBRAINLYAnswer:
5
Step-by-step explanation:
17+3=20
4×5=20
20-17=3
Order of operations
11 + 14 ÷ 2 - 1
Answer:
17
Step-by-step explanation:
(11+14÷2)−1
(11+7)−1
18−1
17
Given: sin theta=2/3 and is in the second quadrant; evaluate the following expression. sin 2 theta
Answer:The answer to your question is 3. 0
Step-by-step explanation:
Process
1.- Find the cos a
Opposite side = 5
Hypotenuse = 13
Adjacent side = ?
Adjacent side² = 13² - 5²
= 169 - 25
= 144
Adjacent side = 12
cos a = 12/13
2.- Find the sin b
sin b = 5/13
3.- Use the formula below to find sin(a + b)
sin (a + b) = sina cosb + sin b cos a
- Substitution
sin (a + b) = (5/13)((-12/13) + (5/13)/12/13)
- Simplification
sin (a + b) = -60/169 + 60/13
- Result
sin(a + b) = 0
Step-by-step explanation:
Show the steps to solve the system of equation. x-2y+3z=-4 , 3x+y-z=0 , 2x+3y-5z=1
Answer:
x= -1, y = 6, z = 3
Step-by-step explanation:
let me solve it with Gaussian Elimination
Simplify open parentheses x to the two thirds power close parentheses to the four fifths power
Answer:
x to the 8/15 power. When you have a power raised to another power, you multiply the exponents.
Step-by-step explanation:
Melanie walked her dog 215 miles. Cathy walked her dog 134 times as far as Melania did. How
many miles did Cathy walk her dog?
Answer: Cathy walked her dog 28810 miles
Step-by-step explanation:
215*134=28810
Answer:
Cathy walked her dog 28810 miles
Step-by-step explanation:
Simplify the expression -2(3x-3xy)+xy
Answer:
2. -6x+7xy
Step-by-step explanation:
-2(3x-3xy)+xy=-6x+6xy+xy
=-6x+7xy
3/7 in decimal form rounded to the nearest thousandth
Answer:
3/7=0.4285
Step-by-step explanation:
0.4285
= 0.429
A bank randomly surveyed 50 of its customers by mail to find out how customers use its mobile banking service. The survey found that only 11 of the 50 customers used the service.
If the branch has 1,700 customers, about
customers use the mobile banking service.
22 percent of the costumers used the service
and 78 percent didnt
Answer:
374
Step-by-step explanation:
Hi hope you’re have a great day can I get some help please
Answer:
the function is odd
Step-by-step explanation:
functions that are symmetric with respect to the y axis are even functions
functions that are symmetric with respect to the origin (the 0,0 point) are odd functions (which means that if you flipped it 180 degrees it will still look the same)
have a nice day!
Orlando bought a new couch for 1,968, using the furniture store's finance plan. He will pay 164 a month for 12 months. Which equation can Orlando use to find out how much money he still owes after each month of the plan?
a) y = 164x - 1,968
b) y =1,968 - 164x
c) y = 164x
d) y= 1,968 + 164x
Answer:
B
Step-by-step explanation:
Total(1,968) - x(164) = new value
Write the slope-intercept form for the equation of the line through the given point with the given slope.
(2,5)
Slope =
y= -4x +
y = 4x +
O
y= - 4
O
y= x +4
оо
Answer:
y = 9/2x - 4
Step-by-step explanation:
Slope: 9/2
Point: (2,5)
b = 5 - (9/2)(2)
= 5 - 9 = -4
b = - 4
Pls Answer This Ill Rate 3 stars and giva a thanks if u answer and btw this is a 15 point questions PLS ANSWER I BEG
the answer is -2¹⁶
mark me as brainlist answer
Overnight the temperature decreased by 17 1/2. If the temperature began at -3.6 what is the current temperature?
Answer:
The answer is -21.1 degrees
Step-by-step explanation:
You get this by simply subtracting 17.5 from a negative 3.6. This will look like -3.6-17.5= x. Doing that gets you a negative 21.1. I hope this helps!
with a A teacher asked students in his class if they had any brothers or sisters. The results are shown below. What is the chance of randomly selecting someone from this group brother given that they have a sister?
P(Brother|Sister)
5/12
5/17
5/9
5/14
Answer:
5/14
Step-by-step explanation:
add 5 and 9 to get the denominator
Simplify the equation (3x³)⁴.....
....................
Answer:
(3x)¹²
Step-by-step explanation:
(3x³)⁴ is in form of (e³)⁴ which can be written as e³×⁴
= e¹²
so (3x³)⁴ can be written as (3x)¹²
Answer:
3x¹²
Step-by-step explanation:
According to the power rule of exponents, to simplify a power of a power, you multiply the exponents and keep the base the same. In this case, 3 and 4 are the exponents. 3 times 4 is 12. So the answer would be 3x to the power of 12.
(3x³)⁴
3x³*⁴
3x¹²
What is the whole story about? An uncomfortable bed and Tell tale heart
answer →a murder most heinous and a narrator who fights his insanity
explanation: I read the book in cass
2.4 Find the coordinates of the figure after reflecting in the x-axis. 1. D(-5, - 4), E(-5, -2), F(-1, -2), G(-1,-4)
Answer:
see explanation
Step-by-step explanation:
Under a reflection in the x- axis
a point (x, y ) → (x, - y ) , then
D (- 5, - 4 ) → D' (- 5, 4 )
E (- 5, - 2 ) → E' (- 5, 2 )
F (- 1, - 2 ) → F' (- 1, 2 )
G (- 1, - 4 ) → G' (- 1, 4 )
Give an equation for the result of shifting the graph of up by 4 units, and left by 2 units.
An equation is written as two expressions connected by the equal sign
Enter an equation for the shifted graph:
We define transformations as operators that act on functions by modifying them in some given way. One type of transformation is a translation, which will move the whole graph of the function in some give direction.
For a general function f(x), we will find that the equation for the result of shifting the graph up by 4 units and left by 2 units is:
g(x) = f(x + 2) + 4
----------------------------------
Let's see how to solve this.
We need to start by defining the two most common translations (also known as shifts).
Horizontal translation:
For a given function f(x), an horizontal translation of N units is written as:
g(x) = f(x + N)
where if N is positive, the translation is to the left.
If N is negative, the translation is to the right.
Vertical translation:
For a given function f(x), a vertical translation of N units is written as:
g(x) = f(x) + N
Where if N is positive, the translation is upwards.
If N is negative, the translation is downwards.
Here for an unknown function f(x), we want to write the equation that gives a shift up of 4 units and left by 2 units.
The shift up of 4 units is written as:
g(x) = f(x) + 4
The shift of 2 units to the left is written as:
g(x) = f(x + 2)
These two together give:
g(x) = f(x + 2) + 4.
This is the equation we wanted to get.
If you want to learn more, you can read:
https://brainly.com/question/24401156
C. Write an expression with exponents to represent the number of
great-grandchildren Mr. and Mrs. Fisk have.
Answer: Do you have a pic of the question if you do give and give brainliest for it alright
Step-by-step explanation:
Can someone help me pls.....
Answer:
the first one is equivalent and the second one is not equivalent
Step-by-step explanation:
In the first one do the distributive property first by distributing the the -2.
[tex]3x - 4.6x - 5 = 1.6x - 5[/tex]
collect like terms on the left side
[tex] - 1.6x - 5 = - 1.6x - 5[/tex]
they are equivalent.
The second equation do the distributive property first by multiplying by -3.
[tex]5 + 4.8x + 6.3 = 4.8x - 1.3[/tex]
collect like terms on the left.
[tex]4.8x + 11.3 = 4.8x - 1.3[/tex]
not equivalent
a bakery worker ordered 3,000 eggs when only 300 eggs were needed. Which explains how many more eggs were ordered than were needed?
Answer:
2700 more eggs were ordered
Contestants ABCDEFG and I are in a 10k race. In how many ways can C finish first and A finish second?
Answer:
I would advise you to simplify the question a little bit so that more people can understand and help you out!
Nine less than a number is five
Answer:
x-9=5
Step-by-step explanation: