Answer:
slope is undefined
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (6, 2) and (x₂, y₂ ) = (6, - 3)
m = [tex]\frac{-3-2}{6-6}[/tex] = [tex]\frac{-5}{0}[/tex]
Division by zero is undefined , then slope is undefined
khan academy
help:,)
Answer:
5
Step-by-step explanation:
It is 5 because you just have to count by using a jumping math tectechnique.
Solve the inequality. Graph the solution |x+11|>6.
Plz need help mathxl
Answer:
1x>6-11
1x>-5
1x<-5
1 <1
x<-5/1
x<-5
help please! how do I calculate the coordinates of point a so that at is an altitude?
Part (a)
Since we want segment AT to be an altitude, this means that point A is somewhere on segment RI such that angle TAI is 90 degrees. In other words, segments AT and RI are perpendicular. Check out the diagram below.
We'll need to find the slope of line RI, so we'll need the slope formula
R = (x1,y1) = (-2,-2)
I = (x2,y2) = (4,1)
m = slope of line RI
m = (y2-y1)/(x2-x1)
m = (1-(-2))/(4-(-2))
m = (1+2)/(4+2)
m = 3/6
m = 1/2
m = 0.5
The slope of line RI is 1/2 or 0.5
Now let's use point R(-2,-2) along with that slope we just found to find the equation of line RI.
Turn to point slope form
y - y1 = m(x - x1)
y - (-2) = 0.5(x -(-2))
y + 2 = 0.5(x + 2)
y + 2 = 0.5x + 1
y = 0.5x + 1 - 2
y = 0.5x - 1
This is the equation of line RI. We'll use it later.
----------
We found that the slope of line RI was 1/2.
The negative reciprocal involves us flipping the fraction and flipping the sign to get -2/1 or simply -2.
The perpendicular slope is -2. This is the slope of altitude AT.
We want line AT to go through T(-2,4), so we'll use this point along with the perpendicular slope we just found to calculate the equation of line AT.
We'll turn to the point slope form
y - y1 = m(x - x1)
y - 4 = -2(x - (-2))
y - 4 = -2(x + 2)
y - 4 = -2x - 4
y = -2x - 4 + 4
y = -2x
The equation of the line that goes through points A and T is y = -2x.
----------
To summarize so far, we have these two equations
y = 0.5x - 1 .... equation of line RIy = -2x .... equation of line ATApply substitution to solve for (x,y) to find the intersection point. This will determine where point A is located.
y = 0.5x - 1
-2x = 0.5x - 1
-2x-0.5x = -1
-2.5x = -1
x = -1/(-2.5)
x = 0.4
Then we can determine y like so
y = -2x
y = -2(0.4)
y = -0.8
Therefore, point A is located at (0.4, -0.8). Both coordinate values are exact. In fraction form, we can say that the point is (2/5, -4/5), but I find decimals easier to work with in this instance.
Answer: (0.4, -0.8)===============================================================
Part (b)
To find the length of segment AT, we can find the distance from A to T. As you can probably guess, we'll use the distance formula.
A = (x1,y1) = (0.4, -0.8) ... found back in part (a)
T = (x2,y2) = (-2, 4) ... given
[tex]d = \sqrt{ (x_2-x_1)^2+(y_2-y_1)^2 }\\\\d = \sqrt{ (-2-0.4)^2+(4 - (-0.8))^2 }\\\\d = \sqrt{ (-2-0.4)^2+(4 + 0.8)^2 }\\\\d = \sqrt{ (-2.4)^2+(4.8)^2 }\\\\d = \sqrt{ 5.76+23.04 }\\\\d = \sqrt{ 28.8 }\\\\d \approx 5.36656\\\\d \approx 5.37\\\\[/tex]
The distance from point A to point T is approximately 5.37 units. This means that segment AT is roughly 5.37 units long.
Answer: 5.37 unitsFind the value of x. Round to the nearest tenth
Answer:
658ft
Step-by-step explanation:
you first have to calculate the angle next to that 28°angle,if you look at the two they form a 90° so to find that angle you have to subtract 90-28=62
the x is the opposite of angle 62 and the 350 si the adjacent so you can use the tan ratio to find the answer
tan62=opposite/adjacent
tan62=y/350
y=tan62×350
=658ft
I hope this helps
trigonometric identities help
Answer:
Step-by-step explanation:
I just graphed this and used the "maximum value" capability to locate the max value. It occurs at (0.363, 3).
A shopkeeper allows 10% discount on the marked price of a bicycle. If a costomer pays Rs 4068 with 13% VAT find the marked price of the bicycle
[tex] \large{ \tt{❁ \: S \: O \: L \: U \: T \: I \: O \: N \: ❁}}[/tex]
We're provided - Discount % = 10 % , Cost with VAT [ SP with VAT ] = Rs 4068 & VAT % = 13%. We're asked to find out the marked price of the bicycle. Let's start :[tex] \large{ \tt{❇ \: FIND \: SP \: WITHOUT \: VAT \: / \: SP\: ❇}}[/tex]
[tex] \large{ \tt{❃ \: SP \: with \: VAT= SP + VAT\% \: of \: SP}}[/tex]
[tex] \large{ \tt{⇢ \: 4068 = SP + 13\% \: of \: SP}}[/tex]
[tex] \large{ \tt{⇢ \: 4068 = SP + \frac{13}{100} \: sp}}[/tex]
[tex] \large{ \tt{⇢ \: 4068 = \frac{100 \: \: SP + 13 \: SP}{100} }}[/tex]
[tex] \large{ \tt{⇢ \: 4068 = \frac{113 \: SP}{100} }}[/tex]
[tex] \large{ \tt{⇢ \: 113 \: SP = 406800}}[/tex]
[tex] \large{ \tt{⇢ \: SP = \frac{406800}{113} }}[/tex]
[tex] \large{ \tt{⇢ \: SP = 3600}}[/tex]
Hence , SP = Rs 3600[tex] \large{ \tt{✽ \: NOW , \: FIND \: THE \: MP \:✽ }}[/tex]
Let Marked Price [ MP ] be x.[tex] \large {\tt{❃ \: SP = MP - dis\% \: of \: MP}}[/tex]
[tex] \large{ \tt{⇾ \: 3600 = x - 10\% \: of \: x}}[/tex]
[tex] \large{ \tt{⇾ \: 3600 = x - \frac{10}{100} } \: x}[/tex]
[tex] \large{ \tt{⇾ \: 3600 = \frac{100x - 10x}{100} }}[/tex]
[tex] \large{ \tt{⇾ \: 3600 = \frac{90x}{100} }}[/tex]
[tex] \large{ \tt{⇾ \: 90x = 360000}}[/tex]
[tex] \large{ \tt{⇾ \: x = \frac{360000}{90} }}[/tex]
[tex] \large{ \tt{⇾ \: x = Rs \: 4000}}[/tex]
[tex] \large{ \boxed{ \boxed{ \tt{☂ \: OUR \: FINAL \: ANSWER : \boxed {\tt {\: Rs \: 4000}}}}}}[/tex]
Hope I helped! Let me know if you have any questions regarding my answer and don't hesitate to reach out to me if you need any assistance! :)Which expression has been simplified INCORRECTLY? * 1 point - (-9) = 9 - (+9) = -9 + (-9) = -9 + (+9) = -9
Answer:
+ (+9) = -9
Step-by-step explanation:
- (-9) = 9 A negative times a negative is a positive
- (+9) = -9 A negative times a positive is a negative
+ (-9) = -9 A positive times a negative is a negative
+ (+9) = -9 A positive time a positive is a positive
tìm tất cả giá trị thực của tham số m để đồ thị hàm số y=x³-mx²+4 cắt trục hoành tại ba điểm phân biệt
Answer:
실례합니다?
Step-by-step explanation:
질문이 뭔가요??? 이해가 안가요? 어느 언어?
(t + 1)(t2 + 2t + 4)
find the product.
Answer:
5+5t
Step-by-step explanation:
The answer you are looking for is t^3+3t^2+6t+4.
Solution:
(t+1)(t^2+2t+4)
t^3+2t^2+4t+t^2+2t+4
t^3+3t^2+6t+4
A bookstore is selling books for $10 each. Which graph shows the relationship between the number of books, x, the store sold and the total amount of money, y, paid from the book sales?
Answer:
Graph B
Explanation:
I need help ASAP!!! FIND THE SEGMENT Please explain how u got the answer
Answer:
x = 960
Step-by-step explanation:
Using the Altitude- on- Hypotenuse theorem
( leg of large triangle )² = ( part of hypotenuse below it) × ( whole hypotenuse), so
x² = 576 × (576 + 1024) = 576 × 1600 = 921600 ( take square root of both sides )
x = [tex]\sqrt{921600}[/tex] = 960
16. Mrs. Acosta wants to buy 2 flag pins
for each of the 168 band members for
the Fourth of July Parade. Pins cost
$0.09 each. Which is the best estimate
of the cost of the pins?
If there are:
6 red marbles
10 yellow marbles
5 green marbles
and 1 blue marble
What is the probability of picking 1 blue marble and 1 green marble?
(Once a marble is chosen it is NOT put back into the box).
(Write your answer in the form of a decimal, round to 2 places).
Answer:
0.02
Step-by-step explanation:
either picking a green then blue;
5/22 x 1/21= 5/462
or picking a blue then green;
1/22 x 5/21= 5/462
total is 10/462 which is approximately 0.02
since there was no specific order in the question i assumed you add them both.
Here are the numbers of children in 11 elementary school classes.
18, 18, 17, 18, 19, 20, 17, 17, 17, 18, 20
Find the modes of this data set.
Hey there!
Mode is basically the number(s) in a data plot you see MORE THAN once
• 18 appeared four times (this could be a possible answer)
• 17 appeared four times (this could be a possible answer)
• 19 appeared one time (this can’t be your answer)
• 20 appeared two times (this could be a possible answer)
Possible answers: 17,18, & 20
Since 17 & 18 appeared the MOST in the data plot those numbers could be your mode in your given data plot
Answer: 17 & 18
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
Which exponential function is represented by the graph?
Answer:
Answer is option (B)......
f(x) = 2[tex]x^{2}[/tex]+ x − 4 for x ∈R, a ≤ x ≤ a+3. If the range of the function f is −2 ≤ f(x) ≤ 16, find the possible values of a.
Answer:
No answer is possible
Step-by-step explanation:
First, we can identify what the parabola looks like.
A parabola of form ax²+bx+c opens upward if a > 0 and downward if a < 0. The a is what the x² is multiplied by, and in this case, it is positive 2. Therefore, this parabola opens upward.
Next, the vertex of a parabola is equal to -b/(2a). Here, b (what x is multiplied by) is 1 and a =2, so -b/(2a) = -1/4 = -0.25.
This means that the parabola opens upward, and is going down until it reaches the vertex of x=-0.25 and up after that point. Graphing the function confirms this.
Given these, we can then solve for when the endpoints of the interval are reached and go from there.
The first endpoint in -2 ≤ f(x) ≤ 16 is f(x) = 2. Therefore, we can solve for f(x)=-2 by saying
2x²+x-4 = -2
add 2 to both sides to put everything on one side into a quadratic formula
2x²+x-2 = 0
To factor this, we first can identify, in ax²+bx+c, that a=2, b=1, and c=-2. We must find two values that add up to b=1 and multiply to c*a = -2 * 2 = -4. As (2,-2), (4,-1), and (-1,4) are the only integer values that multiply to -4, this will not work. We must apply the quadratic formula, so
x= (-b ± √(b²-4ac))/(2a)
x = (-1 ± √(1-(-4*2*2)))/(2*2)
= (-1 ± √(1+16))/4
= (-1 ± √17) / 4
when f(x) = -2
Next, we can solve for when f(x) = 16
2x²+x-4 = 16
subtract 16 from both sides to make this a quadratic equation
2x²+x-20 = 0
To factor, we must find two values that multiply to -40 and add up to 1. Nothing seems to work here in terms of whole numbers, so we can apply the quadratic formula, so
x = (-1 ± √(1-(-20*2*4)))/(2*2)
= (-1 ± √(1+160))/4
= (-1 ± √161)/4
Our two values of f(x) = -2 are (-1 ± √17) / 4 and our two values of f(x) = 16 are (-1 ± √161)/4 . Our vertex is at x=-0.25, so all values less than that are going down and all values greater than that are going up. We can notice that
(-1 - √17)/4 ≈ -1.3 and (-1-√161)/4 ≈ -3.4 are less than that value, while (-1+√17)/4 ≈ 0.8 and (-1+√161)/4 ≈ 2.9 are greater than that value. This means that when −2 ≤ f(x) ≤ 16 , we have two ranges -- from -3.4 to -1.3 and from 0.8 to 2.9 . Between -1.3 and 0.8, the function goes down then up, with all values less than f(x)=-2. Below -3.4 and above 2.9, all values are greater than f(x) = 16. One thing we can notice is that both ranges have a difference of approximately 2.1 between its high and low x values. The question asks for a value of a where a ≤ x ≤ a+3. As the difference between the high and low values are only 2.1, it would be impossible to have a range of greater than that.
6-
С
5
B
B
4-
3-
D
2-
A
А
1-
0
-7
-5
0
-6
.4
-3
-2
-1
2
3
4
5
6
-10
-2-
-3-
-4-
Which of the following sequences of transformations is used to obtain figure A'B'C'D' from ABCD?
Answer: -1
Step-by-step explanation:
Look at the patter it has
Determine whether the statement below is true or false boxy is rectangle
there are 108 flowers. 1/9 of them bloomed. How many did not bloom? How many did?
Answer:
96 flowers did not bloom and 12 did.
Explanation:
Total flower = 108
Number of flower that bloomed
= ⅑ of the total flowers
= ⅑ of 108
= ⅑ × 108
= 108/9
= 12
So, number of flowers that did not bloom
= Total flowers - Number of flowers that bloomed
= 108 - 12
= 96
So, 96 flowers did not bloom and 12 flowers did.
Divide Rs.45000 among 2 students Mina and Rita in the ratio of marks they got 40 and 50 respectively
Let
Money share of Mina=40xMoney shae of Rita=50xATQ
[tex]\\ \qquad\quad\sf{:}\twoheadrightarrow 40x+50x=45000[/tex]
[tex]\\ \qquad\quad\sf{:}\twoheadrightarrow 90x=45000[/tex]
[tex]\\ \qquad\quad\sf{:}\twoheadrightarrow x=\dfrac{45000}{90}[/tex]
[tex]\\ \qquad\quad\sf{:}\twoheadrightarrow x=500[/tex]
Now
[tex]\\ \qquad\quad\sf{:}\twoheadrightarrow Rita=50x=50(500)=25000[/tex]
[tex]\\ \qquad\quad\sf{:}\twoheadrightarrow Mina=40x=40(500)=20000[/tex]
Please help explanation if possible
Answer:
(x,y) —> (–1 ,1)
I hope I helped you ^_^
4.
If you took a horizontal slice out of the three-dimensional shape, what two-
dimensional shape would you have?
1) rectangle
2) circle
3) square
4) triangle
Answer:
Square
Step-by-step explanation:
It got 4 sides like square and its form is looking like a square.
Find the length of the third side. If necessary, round to the nearest tenth.
12
13
Answer:
Submit Answer
attempt 1 out of 2
Privacy Policy Terms of Service
PLS HELP ASAP
Answer:
5
Step-by-step explanation:
Use pythagorean theorem. A^2+B^2=C^2
13 is c because it is the hypotenuse and across from the right angle
a is unknown and b is 12
A^2+12^2=13^2
A^2 +144 = 169
A^2 = 169- 144
A^2= 25
now take the sq root of both side
A = 5
Answer:
17.7
Step-by-step explanation:
Understanding Transversals
Use the diagram to complete the statements. (please helpp)
Answer:
Step-by-step explanation:
Use factoring to determine the x-intercepts and vertex of the quadratic function
y = 2x2 + 5x - 3 (pls answer)
consindering the equation ""yvariable m is the intercept ,,c constant
therefore from the equation by comparing...=mx+c where y
Evaluate the expression when x=-6.
x² + 5x-2
Answer:
Step-by-step explanation:
Hello!
x² + 5x-2
6² + 5*6 -2 =
36 +30 -2 =
66 -2=
64
Fifthteen of student took a math test. Eight student scored 75, five scored 82 and two scored 95. What was the average of there score
Answer:
84
Step-by-step explanation:
To find the average of the data or the mean, add 75, 82, and 95 which is 252, then 252 divided by 3 = 84. Hopefully, this helps :)
Please anyoneeeeeeee.....i am almost done just please help me
Answer:
B. XV and XY
Step-by-step explanation:
you can eliminate the top two options because those aren't rays. XV and XY are the only ones that end in X
What should the equations look like for each number? 17-20
Answer:
See below.
Step-by-step explanation:
17.)
[tex]x+100+120+100=360\\x+320=360\\x=40[/tex]
18.)
[tex]x+150+77+48=360\\x+275=360\\x=85[/tex]
19.)
[tex]x+122+92+76=360\\x+290=360\\x=70[/tex]
20.)
[tex]x+115+85+60=360\\x+260=360\\x=100[/tex]
Jessie brought 3 1/5?cups of water on
a hike. If he drinks 2/5 cup of water
each hour, how many hours will he
have water for?
Answer:
8 hours
Step-by-step explanation:
3 1/5 cups, he drinks 2/5 cups every hour
to find the number of hours he has water for, divide the 2 numbers
3 1/5 = 16/5
16/5 divided by 2/5 is equal to 16/5 times 5/2
80/10 equals 8, so he will have water for 8 hours
