Answer:
[tex]\displaystyle y=-\frac{1}{6}x-\frac{1}{2}[/tex]
Step-by-step explanation:
We want to write the equation of a line that passes through the point (3, -1) and is perpendicular to the line:
[tex]y=6x-4[/tex]
Remember that the slopes of perpendicular lines are negative reciprocals of each other.
The slope of the given equation is 6.
So, the slope of our perpendicular line is the negative reciprocal of 6, which is -1/6.
Next, we are given that it passes through the point (3, -1). Since we are given a point and know the slope, we can use the point-slope form. Point-slope form is given by:
[tex]y-y_1=m(x-x_1)[/tex]
Where m is the slope and (x₁, y₁) is a point.
We will substitute -1/6 for m and (3, -1) for (x₁, y₁). Hence:
[tex]\displaystyle y-(-1)=-\frac{1}{6}(x-(3))[/tex]
Simplify:
[tex]\displaystyle y+1=-\frac{1}{6}(x-3)[/tex]
Our answer is valid as it as, but we can simplify this into slope-intercept form. Distribute:
[tex]\displaystyle y+1=-\frac{1}{6}x+\frac{1}{2}[/tex]
And subtract one from both sides. Therefore, our equation is:
[tex]\displaystyle y=-\frac{1}{6}x-\frac{1}{2}[/tex]
MARKING BRAINLIEST
PLS HELP
Answer:
B
Step-by-step explanation:
It goes up and right
Which equation is quadratic in form?
a.6(x + 2)2 + 8x + 2 + 1 = 0
b.6x4 + 7x2 – 3 = 0
c.5x6 + x4 + 12 = 0
d.x9 + x3 – 10 = 0
Answer:
d. x9 + x3 – 10 = 0
Ivanna has bought 30 pounds of dog food. She feeds her dog 3/5 pounds for each meal. For how many meals will the food last?
Answer:50
Step-by-step explanation:
3/5 = 3 ÷ 5 = 0.6
30 ÷ 0.6 = 50
otra explicacion:
30/1 ÷ 3/5= 30/1 x 5/3 = 150/3 = 50
(I NEED HELP ASAP) In a class, there are 25 boys and 15 girls. If a student is selected at random, what is the probability that the student is a boy?
15/25
3/8
25/15
5/8
Answer: 3rd
Answer: 3rd
25/15
What is the length of the side x?
Answer and Step-by-step explanation:
Solve for the middle side, then for x using Pythagorean Theorem.
[tex]A^2 + B^2 = C^2\\\\\\6^2 + 8^2 = C^2\\\\100 = C^2\\\\C = 10\\\\\\\\A^2 + 10^2 = 12^2\\\\A^2 + 100 = 144\\\\A^2 = 44\\\\A^2 = 2\sqrt{11} <-Answer[/tex]
#teamtrees #PAW (Plant And Water)
Evaluate 15/r - 1 when r =5
Answer:
3.75
Step-by-step explanation:
calculator because yes:)
Find x. Round to the nearest degree.
Answer: 56 degrees approximately
==========================================
Work Shown:
tan(angle) = opposite/adjacent
tan(x) = 15/10
tan(x) = 1.5
x = arctan(1.5)
x = 56.3099 approximately
x = 56 degrees
Note: arctan is the same as inverse tangent
First, determine if the example is EXLUSIVE (M.E.) or
INCLUSIVE (Inc.) and circle the correct answer.
Then, find the probability of the example.
A die is rolled. What is the probability of rolling a 5 or a number greater than 3?
ME. Incl P (5 or >3) =
A die is rolled. What is the probability of rolling a 2 or a 6?
ME. Incl P (2 or 6) =
A card is drawn from a standard deck of cards. What is the probability of drawing a 6 or a king?
M. E. Incl P (6 or K) =
A card is drawn from a standard deck of cards. What is the probability of drawing a queen or a spade?
M. E. Incl P (Q or Spade) =
Answer:
Sorry I had to go to dinner here you go hope this helps! :D
Step-by-step explanation:
So, before we start, there are two things we have to go over.
First off, we have "or"
When using or between two probabilitess, you are basically adding them together.
For instance, you first question asks what the probability is of rolling a 5 or a number greater than 3(assuming this is a 6 sided dice).
So, rolling a 5 is a change of 1/6. Since 1 of the 6 dice iwll be 5. The other probability is a 1/2, since 3 of the 6 dice are over 3.
Now lets add these two together because of the "or":
1/2+1/6=3/6+1/6=4/6
So the probabily of rolling a 5 OR rolling a number greater than 3 is 4/6.
This is inclusive, since rolling a 5 is possible and greater than 3.
Now "and" is a bit different and more complex than or is.
Here is an example:
What is the change of rolling a even number or rolling a number above 4?
Well, rolling a even number has a probability of 1/2. Rolling a number above 4 is 1/3.
To find the "and", we multiply the two probabilities.
So 1/3*1/2=1/6
So the probability of rolling a even number and a number above 4 is 1/6.
Now, lets get back to the answers.
So what is the probability of rolling a 2 or a 6?
There is a 1/6 probability to get a 2, and a 1/6 probability to get a 6.
Add it together since they use or:
1/6+1/6=2/6
So the probability of rolling a 2 or a 6 is 2/6, or 1/3.
This is exlusive since you cant roll both a 6 and a 2 at the same time.
Next we have what the probability is of drawing a 6 or a king.
There are 13 different cards in a deck.
There is a 4/52 chance of drawing a 6(spade/heart/etc), and a 4/52 chance of drawing a king. This simplyfies to 1/13 for each.
This is:
1/13+1/13=2/13
So the probability of drawing a 6 or a king is 2/13
This is a exclusive event since a king and 6 cant be drawn at the same time.
Finally, we have:
What is the probability of drawing a queen or a spade?
Again, there is a 4/52 chance of drawing a queen. A spade, however, is different.
13 of the 52 cards can be spades, which simplies to 1/4.
So we have 1/13+1/4=4/52+13/52=17/52
So there is a 17/52 probability of drawing a queen or spade.
This is a inclusive event since it is possible to draw both a spade and queen at the same time.
Hope this answers all your questions and helps you understand what "and" "or" are in probability.
Find the slope of the line that contains the points named. G(3, -2), H(7, -2)
A. 0
B. -1
C. Undefined
A. 0
Answer:
Solution given
(x1,y1)=G(3, -2),
(x2,y2)=H(7, -2)
now
slope=(y2-y1)/(x2-x1)=(-2+2)/(7-3)=0/4=0
Answer:
0
Step-by-step explanation:
To find the slope
m= ( y2-y1)/(x2-x1)
= ( -2 - -2)/ ( 7-3)
= (-2+2)/(7-3)
= 0/4
Help! To solve this system of equations by elimination, what operatfon could be used to eliminate the x-variable and find the value of y?
6x + 5y = 2
4x + 2y = 8
es )
A)
subtract 2 times the second equation from 3 times the first equation
B)
subtract 3 times the second equation from 2 times the first equation
9
subtract 5 times the second equation from 2 times the first equation
D)
subtract 2 times the second equation from 5 times the first equation
Answer:
c)
subtract 5 times the second equation from 2 times the first equation
Step-by-step explanation:
subtract 5 times the second equation from 2 times the first equation
This will make the coefficient of the y variable 10
for both equations
10y - 10y = 0
leaving only x
Determine the surface area of the shape below.
Try this option:
1. the required surface area consists of: A=A₁+A₂+A₃, where
2. A₁=pi*r*l - the surface of the cone:
pi=3.14; r=4/2=2 cm; l=sqrt(6²+2²)=2√10≈6.33 (cm);
A₁=3.14*2*6.33=39.74 (cm²).
3. A₂=a²-pi*r² - the surface of the top plane:
A₂=36-3.14*4=23.43 (cm²).
4. A₃=5*a² - the surface of the five planes of the given cube:
A₃=5*6²=180 (cm²).
5. the required area:
A=39.74+23.43+180=243.17 (cm²).
Answer: 243.17
Hay 31 personas en un café.Si hay 5 hombres más que mujeres,¿Cuantos hombres y mujeres hay en el café?
Answer: Hay 13 mujeres. (No hablo espanol.)
Is the spinner described below a fair spinner? If yes, explain why. If not describe a change that could make the spinner fair
There are 10 parts on the spinner 4 orange, 5 blue and 1 grey.
Answer:
no
Step-by-step explanation:
because it's unequal
find the first derivative of the following:
f(x)=e^{x³}
[tex]answer = 3 {x}^{2} {e}^{ {x}^{3} } [/tex]
Answer:
[tex] \displaystyle f'(x) = 3x^2 {e}^{ {x}^{3} } [/tex]
Step-by-step explanation:
we would like to figure out the first derivative of the following:
[tex] \displaystyle f(x) = {e}^{x ^{3} } [/tex]
to do so take derivative In both sides:
[tex] \displaystyle f'(x) = \frac{d}{dx} {e}^{x ^{3} } [/tex]
to differentiate the above we can consider composite function derivation given by
[tex] \rm\displaystyle \frac{d}{dx} f(g(x)) = \frac{d}{dx} f'(g(x)) \times \frac{d}{dx} g'(x)[/tex]
let
g(x)=u
so we obtain:
[tex] \displaystyle f'(x) = \frac{d}{dx} {e}^{u} \times \frac{d}{dx} u[/tex]
substitute back:
[tex] \displaystyle f'(x) = \frac{d}{dx} {e}^{ {x}^{3} } \times \frac{d}{dx} {x}^{3} [/tex]
by using derivation rule we acquire:
[tex] \displaystyle f'(x) = 3x^2 {e}^{ {x}^{3} } [/tex]
and we are done!
Please help I’ll give brainliest
Answer:
R = 13%
Step-by-step explanation:
P = $4000
I = $780
T = 18 months = 18/12 years
[tex]I = \frac{PRT}{100} \\\\780 = \frac{ 4000 \times R \times \frac{18}{12}}{100}\\\\780 = \frac{6000 \times R }{100}\\\\780 = 60R\\\\R = \frac{780}{60} = 13 \%[/tex]
I need help with this I’m almost done
Determine the length of side CB.
A)
5
B)
5V
5V
D)
10
Answer: [tex]5\sqrt{3}[/tex] which is choice C
=====================================================
Explanation:
This is a 30-60-90 triangle. The short leg is 5, as it's opposite the smallest angle. The long leg is [tex]\sqrt{3}[/tex] times that of the short leg.
1) f(x) = 3x2+ 5x -2
a) Write an equation that can be used to find the zeros of the function.
b) What are the zeros of the function?
A building casts a shadow 168 meters long. At the same time, a pole 5 meters high casts a shadow 20 meters long . What is the height of the building ?
Answer:
42
Step-by-step explanation:
The height of the pole is 4 times shorter than the length of the shadow 20÷5=4
The height of the building must be 4 times shorter than its shadow length 168÷4=42
What is the volume, in cubic ft, of a rectangular prism with a height of 17ft, a width of 11ft, and a length of 18ft?
Answer:
The answer is 3366 cubic feet.
Step-by-step explanation:
To find the volume of the rectangular prism, use the formula for a rectangular prism, which is V= LWH. Next, plug in the information given from the question, and the formula will look like V= (18ft) (11ft) (17ft).
Then, solve the equation for the answer, and the answer will be 3366 cubic feet.
Answer:3366
Step-by-step explanation:
Need the question this is urgent!Please answer!
What is the length of DF?
Answer:
Step-by-step explanation:
Because this is an isosceles trapezoid, the diagonals are congruent. That means that DF is the same length as EG which is 11.
I need help I put 30 points for whoever helps me
Answer:
[tex]y=-x+1[/tex]
Step-by-step explanation:
Slope can be represented as rise over run (change y-values over change in x-values). Since the y-value is changing by -2 every time the x-value is changing by 2, the slope of the line must be [tex]\frac{-2}{2}=-1[/tex].
In slope-intercept form [tex]y=mx+b[/tex], [tex]m[/tex] represents the slope of the line, [tex]b[/tex] represents the y-intercept, and [tex](x, y)[/tex] represent the coordinates of any point the line passes through.
To find [tex]b[/tex], substitute [tex]m=-1[/tex] and any point the line passes through.
Using (1, 0) from the table:
[tex]0=-1(1)+b,\\0=-1+b,\\b=1[/tex]
Thus, the equation of this line is [tex]\boxed{y=-x+1}[/tex]
Could someone please help me solve these?
HELP WITH THIS SOMEONE!!!
Answer:
to blury
Step-by-step explanation:
In the later afternoon on a sunny day, Shanice goes outside with a tape measure. She first measures her shadow which is 7 feet 6 inches long. She then measures the shadow of the oak tree in the back yard which is a whopping 74 feet 3 inches. Not content to stop there, she also measures the shadow of her house (taking the longest measurement possible) and finds that it is 28 feet 6 inches. Using this information, find out how much taller the tree is than the house if Shanice's actual height is 5 feet 10 inches.
Answer:
29 feets 3 inches
Step-by-step explanation:
We need to obtain the actual height of oak tree :
Converting measurement to inches :.
1 Feet = 12 inches
Shanice height, SA = 5ft 10 in = (12*5 + 10) = 70 in
Shanice shadow, SS = 7ft 6in = (12*7 + 6) = 90 in
Tree shadow, TS = 74ft 3 in =(12*74 + 3) = 891 in
Let actual tree height = TH
Using the relation :
SA / SS = TH / TS
70 / 90 = TH / 891
Cross multiply :
90 * TH = 891 * 70
TH = (891 * 70) / 90
TH = 693 inches
Height of house = 28ft 6 in = (28*12 + 6) = 342 in
Height difference :
(693 - 342) in = 351 inches
351 in / 12 = 29 feets 3 inches
f(x) = 3x - 4
x is -2
Find the median of the data. 43, 37, 49, 51, 56, 40, 44, 50, 36
Answer:
Median = 44
Step-by-step explanation:
Arrange the data in ascending order:
36, 37, 40, 43, 44, 49, 50 , 51, 56.
Choose the number in the middle.
Median = 44
Plz find the surface area
Answer:
What are the answers?
I NEED IT PLEASE ASAP
Answer: 24+6=30
Step-by-step explanation:
Football(6) rugby(2) hiking(3)
the order it gave you the info was football then rugby then hiking they way it gave you the number was 6,2,3 so football was said first and the number 6 was said first so football matches up with 6 therefore just add the two number and you get 30