Answer:
17
Step-by-step explanation:
Use the distance formula to determine the distance between the two points.
[tex]d = \sqrt{(x_{2} -x_{1})^{2} + (y_{2} - x_{1})^{2} }[/tex]
d = distance
[tex](x_{1}, y_{1})[/tex] = coordinates of the first point
[tex](x_{2}, y_{2})[/tex] = coordinates of the second point
Answer: The distance between the points (6,-7)(-2,8) is 17.
Step-by-step explanation:
To calculate the distance between two points, we apply the following formula:
[tex]\boldsymbol{\sf{d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2 } }}[/tex]
The points are:
(x₁, y₁) = 6, -7(x₂, y₂) = -2. 8We substitute in the formula and solve:
[tex]\boldsymbol{\sf{d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2 } }}\\ \\ \boldsymbol{\sf{d=\sqrt{(-2-6)^2+(8-(-7))^2 } }}\\ \\ \boldsymbol{\sf{d=\sqrt{(-8)^2+15^2}=\sqrt{64+225 } }}\\ \\ \boldsymbol{\sf{d=\sqrt{289}=17 }}[/tex]
The distance between the points (6,-7)(-2,8) is 17.
y is directly proportional to the positive square root of x when x = 9, y= 12 find y when x =1/2
Y =k√x
12 = 3k
k = 4
now X = 1\2
y = 4√1/2
y = 2√2
Answer:
y = 2[tex]\sqrt{2}[/tex]
Step-by-step explanation:
Given y is directly proportional to [tex]\sqrt{x}[/tex] then the equation relating them is
y = k[tex]\sqrt{x}[/tex] ← k is the constant of variation
To find k use the condition when x = 9, y = 12
12 = k[tex]\sqrt{9}[/tex] = 3k ( divide both sides by 3 )
4 = k
y = 4[tex]\sqrt{x}[/tex] ← equation of variation
When x = [tex]\frac{1}{2}[/tex] , then
y = 4[tex]\sqrt{\frac{1}{2} }[/tex] = 4 × [tex]\frac{1}{\sqrt{2} }[/tex] ← rationalise the denominator by multiplying by [tex]\frac{\sqrt{2} }{\sqrt{2} }[/tex]
y = [tex]\frac{4}{\sqrt{2} }[/tex] × [tex]\frac{\sqrt{2} }{\sqrt{2} }[/tex] = [tex]\frac{4\sqrt{2} }{2}[/tex] = 2[tex]\sqrt{2}[/tex]
At a carnival entrance, tickets are assigned seven-digit numbers using the digits 0-5. If one ticket number is chosen randomly for a prize, what is the probability that every number on the ticket is even
Answer:
"0.0041" is the right answer.
Step-by-step explanation:
According to the question,
The total possible number of tickets will be:
= [tex]6^5[/tex]
= [tex]7776[/tex]
here,
The total even numbers are:
= [tex]2[/tex]
i.e., (2, 4)
now,
With even numbers, the total number of tickets are:
= [tex]2^5[/tex]
= [tex]32[/tex]
hence,
The probability will be:
= [tex]\frac{32}{7776}[/tex]
= [tex]0.0041[/tex]
The probability is the ratio of the favorable event to the total number of events. Then the probability is 0.0041.
What is probability?Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1. Its basic meaning is something is likely to happen. I
At a carnival entrance, tickets are assigned seven-digit numbers using the digits 0-5.
If one ticket number is chosen randomly for a prize.
Then the probability that every number on the ticket is even will be
The total possible number of tickets will be
⇒ 6⁵ = 7776
The total even numbers will be
⇒ 2 {2, 4}
With even numbers, the total number of tickets will be
⇒ 2⁵ = 32
Then the probability will be
[tex]\rm P = \dfrac{32}{7776}\\\\P= 0.0041[/tex]
More about the probability link is given below.
https://brainly.com/question/795909
Factor the expression below.
x² - 64
O A. (x - 16)(x-4)
B. (x+16)(x-4)
O C. (x-8)(x-8)
O D. (x+8)(x-
Answer:
(x-4)(x+4)
Step-by-step explanation:
x^2 - 64 = x^2 - 4^2 = (x-4)(x+4)
Please help I will give brainliest!!!!!
Answer:
Step-by-step explanation:
[tex]sin^2\theta+cos^2\theta=1~=>sin\theta=\pm\sqrt{1-cos^2\theta}\\\\cos\theta=\frac{\sqrt{2}}{2}[/tex]
we'll took the negative solucion of sin because sin is negative in IV cuadrant
[tex]sin\theta=-\sqrt{1-(\frac{\sqrt{2}}{2})^2}=-\frac{1}{\sqrt{2}}=-\frac{\sqrt{2}}{2}[/tex]
[tex]tan\theta=\frac{\sin\theta}{\cos\theta}[/tex] => [tex]tan\theta=-1[/tex]
so, the right option is the last one
Determine the value of x.
Question 11 options:
A)
5
B)
5
C)
10
D)
Answer: [tex]\frac{10}{\sqrt{3}}[/tex]
This is equivalent to [tex]\frac{10\sqrt{3}}{3}[/tex]
======================================================
Explanation:
To get the first value mentioned above, we simply divide the long leg (10) over the square root of 3.
This is due to the fact that if x is the short leg, then x*sqrt(3) is the long leg. We go in reverse of this process to go from long leg to short leg.
The expression [tex]\frac{10}{\sqrt{3}}[/tex] is the same as [tex]\frac{10\sqrt{3}}{3}[/tex] after we multiply top and bottom by sqrt(3) to rationalize the denominator.
Side notes:
This entire process only applies to 30-60-90 triangles.The hypotenuse of a 30-60-90 triangle is twice as long as the short leg, so the hypotenuse is [tex]2x = 2*\frac{10\sqrt{3}}{3} = \frac{20\sqrt{3}}{3}[/tex] units long. You could use the tangent ratio to help isolate x. You would either say tan(30) = x/10 or tan(60) = 10/x as the first equation to set up.Write the following geometric sequence recursively: 10, 100, 1000, 10000.*
Answer:
i think the * is 100000, each number times 10
Which point is the image of point R(4, -7) first reflected across the x-axis and then across the y-axis?
Answer:
(-4, 7)
Step-by-step explanation:
It would be the exact opposite of point R because it was rotated about 180 degrees from it's original location
what's the answer for this question
Answer:
B(3/4*1/2)
Step-by-step explanation:
So lets see, we have:
3/4 divded by 2
Any whole number, such as 2, will have a denominator like this:
2/1
So we can rewrite this as:
3/4 divided by 2/1
Now, we can actually rewrite this division as multipication. To do this, you must flip the dividing fraction, which was 2/1.
So now it is 1.2:
3/4*1/2
Looking at the anwers, this should be the seocnd one down.
Hope this helps!
Please help me! I will give branliest if it’s correct :)
Answer:
the answer is in the picture
Answer:
[tex]\frac{z^{2} }{25}[/tex]
Step-by-step explanation:
In order to write the expression in the form of [tex]\frac{z^{2} }{k}[/tex] we simply have to open up the brackets. We do that the following way...
[tex](\frac{z}{5} )^{2} =( \frac{z}{5} )( \frac{z}{5}) = \frac{z^{2} }{25}[/tex]
Please help me I am super confused I would really appreciate it ♥️♥️
Meh need help, Im so confued
Answer:
3/6=4/8
Step-by-step explanation:
2/6=3/8
2*4 6*4=8/24
3*3 8*3=9/24
2/6 does not equal 3/8
3/6=4/8
3*4 6*4= 12/24
4*3 8*3=12/24
3/6=4/8 is true
In a survey conducted at a pet store, 150 customers were asked if they owned
birds or fish. The survey data are shown in the relative frequency table.
What percentage of the people surveyed own fish?
A. 10%
B. 6%
C. 4%
D. 0.1%
Answer: the answer should be 10%
Step-by-step explanation:
Answer:
10% is correct!
-7= y/7? Solve the Equation.
y = -49
multiply 7 on both sides
-7*7 = y/7*7
-49 = y
Answer:
y = -49
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityStep-by-step explanation:
Step 1: Define
Identify
-7 = y/7
Step 2: Solve for y
[Multiplication Property of Equality] Multiply 7 on both sides: -49 = yRewrite: y = -49How many pieces of the sandwiches did the 3 girls eat altogether?
if x is directly proportional to y and x= 4.5 when y = 3 find y when x = 24
Answer:
Step-by-step explanation:
x/y=y/x
4.5/3=24/y
do cross multiplication
24*3=y*4.5
72=4.5y
72/4.5=y
16=y
The area of Sophie‘s herb garden is 1/8 The area of her vegetable garden. The area of her herb garden is 6 square feet. What is the area of her vegetable garden
Answer:
see below
Step-by-step explanation: 5 25 14 02
herb garden is 1/8 The area of her vegetable garden
herb garden is 6 square feet
vegetable garden = ???
herb garden / vegetable garden = 1/8 solve for vegetable garden
herb garden × 8 = vegetable garden
6 ft² × 8 = __________ ft²
Plz help me well mark brainliest if correct
all of the above which is e
The 7th grade class is going on a trip to Disneyland there are 162 learners and 24 LF's attending the trip one bus can hold 65 people how many buses do they need to order to take everyone to Disneyland
Answer: about 3 buses
Step-by-step explanation: 162+24=186 and 65*3=195 so 3 buses is enough
Hope this helps:)
Melanie moved to Denver on October 13 and returned home for a visit fourteen months later. When did she return home?
Answer:
She arrived home in December
Step-by-step explanation:
Add 14 months to October
Answer:
she returned home in December just add 14 months to October
What is : X + -3 = -10
Step-by-step explanation:
add 3
x = - 7___________..........
please help me i’m like so over this.
RUNNING OUT OF POINTS PLEASE!! Find the perimeter and area for the triangle. Be sure to write the formula, and use correct measure.
Answer:
Area = 77ft²
Perimeter = 44 9/20 feets
Step-by-step explanation:
Area of a triangle = 1/2 * base * height
Base = 19 1/4 feets = 77/4 feets
Height = 8 feets
Area = 1/2 * 77/4 * 8
Area = (77 * 8) / 8
Area = 77 feet²
Perimeter of a triangle :
Sum of the sides
Perimeter = a + b + c
Perimeter = 19 1/4 + 10 + 15 1/5
Perimeter = 44 + (1/4 + 1/5)
Perimeter = 44 9/20
Find the integration of (1-cos2x)/(1+cos2x)
Given:
The expression is:
[tex]\dfrac{1-\cos 2x}{1+\cos 2x}[/tex]
To find:
The integration of the given expression.
Solution:
We need to find the integration of [tex]\dfrac{1-\cos 2x}{1+\cos 2x}[/tex].
Let us consider,
[tex]I=\int \dfrac{1-\cos 2x}{1+\cos 2x}dx[/tex]
[tex]I=\int \dfrac{2\sin^2x}{2\cos^2x}dx[/tex] [tex][\because 1+\cos 2x=2\cos^2x,1-\cos 2x=2\sin^2x][/tex]
[tex]I=\int \dfrac{\sin^2x}{\cos^2x}dx[/tex]
[tex]I=\int \tan^2xdx[/tex] [tex]\left[\because \tan \theta =\dfrac{\sin \theta}{\cos \theta}\right][/tex]
It can be written as:
[tex]I=\int (\sec^2x-1)dx[/tex] [tex][\because 1+\tan^2 \theta =\sec^2 \theta][/tex]
[tex]I=\int \sec^2xdx-\int 1dx[/tex]
[tex]I=\tan x-x+C[/tex]
Therefore, the integration of [tex]\dfrac{1-\cos 2x}{1+\cos 2x}[/tex] is [tex]I=\tan x-x+C[/tex].
Lin and Claire each threw a rock into a stream. The black graph represents the height of a stone t seconds after it was tossed up by Lin and the purple graph represents the height of a stone t seconds after it was tossed up by Claire.
1) Whose stone hit the water second, and at what time?
2) How long did it take for Claire's rock to reach its maximum? What is the maximum height?
3) Who had the higher initial height? What was it?
Uh oh, looks like you need the graph to answer this question! If you post the graph then I can answer in numbers but for now, I'll try to explain:
1) I assume the graph looks like a dome shape, so based on that, where the line comes back down and hits the bottom line on which x value is larger will be whose stone hit the water second and what time will be what x value represents the time it hit the water.
2) look at the highest value on the purple graph and that is the maximum height (the y value of that point) and the x value of that highest point will be the time it took for the stone to reach its maximum height.
3) based on this question, the graph should start not on the 0 but at a point on the y axis, so whoever's starting y value is higher will be this answer and what that is will be the number answer to the what was it part.
Hope this helps and if you post the graph then I can do more! :)
someone tell me 1+1= 11 and not 2 - -
Can someone give me the answer to this plz
Answer:
X>Dy+c
Step-by-step explanation:
I did this question before
A fair coin is flipped three times. Events A and B are defined as: A: there are at least two consecutive heads somewhere in the sequence B: at least one flip comes up tails What is p(A | B)?
Answer:
2 / 7
Step-by-step explanation:
Coin flipped 3 times has following outcomes, of heads 'H' & Tails 'T'
HHH , TTT , HTT, THT , TTH , THH , HTH , HHT = total outcomes
P (A) = 2 consecutive heads , P (B) = atleast one tail
P (A) = 2 outcomes ( HHH , HHT , THH ) / total 8 outcomes = 3 / 8
P (B) = 7 outcomes (all except HHH) / total 8 outcomes = 7 / 8
P (A | B) = P ( A ∩ B ) / P (B)
P ( A ∩ B ) = P ( 2 consecutive heads & atleast one tail) / Total outcomes = 2 outcomes ( HHT , THH ) / total 8 outcomes = 2 / 8
So, P (A | B) = ( 2 / 8 ) / ( 7 / 8 ) = 2 / 7
[
Which point shows the location of 5 - 2i on the complex plane below?
5 4 3 2 1
2
2 3
4
5
х
-5-4-3-2-14
2
-2
-3
00
O point A
O point B
O point C
O point D
Mark this and return
Save and Exit
Next
Sub
Answer: B
I took the edge test
Step-by-step explanation:
The location of the complex number 5 - 2i will be (5, -2) which is point D. Then the correct option is D.
What is a complex number?The complex number is the combination of the real part and the imaginary part. Then the complex number is given as a+bi where the value of i is √(-1) and the value of i² is -1.
The complex number is given below.
⇒ 5 - 2i
The real part represents the x-axis and the imaginary part represents the y-axis. Then the location of the complex number is written as,
⇒ (5, -2)
The location of the complex number 5 - 2i will be (5, -2) which is point D. Then the correct option is D.
More about the complex number link is given below.
https://brainly.com/question/10251853
#SPJ7
A man-made lake is stocked with 10,000 fish. This population is expected to decline by an annual rate of 12%
Predict the fish population 5 years after the lake is stocked
Answer:
4000 fish left in lake after 5 years
Step-by-step explanation:
12 x 5 = 60 (60%)
10000 - 60% = 4000
a recipe for 24 bran muffins requires 2.25 cups of flour. You want to make 30 bran muffons. which proportion could be solved to find x, the total number of cups of flour needed
Answer:
Number of cups water require for 30 muffins = 2.82 cups (Approx.)
Option "D"
Step-by-step explanation:
Given:
24 bran muffins required = 2.25 cups of flour
Find:
Number of cups water require for 30 muffins
Computation:
Assume;
Number of cups water require for 30 muffins = x
So,
24 / 2.25 = 30 / x
x = [30 × 2.25] / 24
x = 67.65 / 24
x = 2.8187
Number of cups water require for 30 muffins = 2.82 cups (Approx.)