Answer:
Step-by-step explanation:
Using distance formula (search it up, it's BIG) we start by plugging in the coordinates. the second x coordinate minus the first x coordinate is equal to -2 - - 4. You can't subtract a negative from an negative, so you add them. We change it to -2 + + 4 which equals 2. According to the distance formula (look it up), we square that (meaning it's equal to 4) and add it to the y value. The y value is equal to the second y coordinate minus the first y coordinate. This is represented by -3 - 0. This equals -3, but according to the distance formula, we square it which makes it equal to 6. Now, what do we do with the numbers 6 and 4? Following the distance formula, we add them which is equal to 10. Now we are left with the square root of 10 according to the distance formula. Your answer is the square root of 10 or in decimal form, 3.162277......... I hope this helped!
Step-by-step explanation:
hear Is your answer check
1:prove that the tangent at the point (1,-2) to the circle x²+y²=5 also touches the circle x²+y²-8x+6y+20=0 .Also find the point of contact.
2:find the length of tangent to the circle
3x²+3y²-7x-6y=12 drawn from (6,-7)
Circle 1 has center at (0, 0)
The tangent passes through the center and point (1, -2).
Equation of tangent at (1, -2):
x*1 + y*(-2) = 5x - 2y = 5x = 2y + 5If the same line is tangent to circle 2 then they have one common point.
Solve the system:
x = 2y + 5x² + y² - 8x + 6y + 20 = 0Substitute x:
(2y + 5)² + y² - 8(2y + 5) + 6y + 20 = 04y² + 20y + 25 - 16y - 40 + 6y + 20 = 05y² + 10y + 5 = 0y² + 2y + 1 = 0(y + 1)² = 0y + 1 = 0y = -1 ⇒ x = 2(-1) + 5 = -2 + 5 = 3We see only one point of contact, (3, -1), this proves the line is tangent to circle 2 as well.
#2Given circle:
3x² + 3y² - 7x - 6y = 12 and external point (6, -7).Rewrite the equation of the circle as:
3x² + 3y² - 7x - 6y = 12x² + y² - 7/3x - 2y = 4x² - 2*7/6x + 49/36 + y² - 2y + 1 = 4 + 49/36 + 1(x - 7/6)² + (y - 1)² = 229/36The center is (7/6, 1) the radius is √229/36
The length of the tangent t is the leg of the right triangle with another leg r being the radius and the hypotenuse d being the distance between the center and the external point:
t² = d² - r²t² = (6 - 7/6)² + (-7 - 1)² - 229/36t² = 36 - 14 + 49/36 + 64 - 229/36t² = 86 - 180/36t² = 81t = 9x−9≥−12 Express your answer as an inequality.
Answer:
x ≥ −3
Step-by-step explanation:
Step One : Add 9 to both sides.
x − 9 + 9 ≥ −12 + 9
x ≥ −3
There is no more to be done, that is our answer. x ≥ −3.
Hope this helps, please mark brainliest! :)
Write the product in its simplest form : 6c • (-7c^6)
Answer:
Step-by-step explanation:
(-7*6)(c*c^6) = -42c^7
What’s the ratio of 20 to 3
Answer:
666.666666666667%
Step-by-step explanation:
Convert fraction (ratio) - 20 / 3 Answer: -666.666666666667%
play help me on this
Answer:
VTU T UTV all work
Give me brainiest answer please it helps a lot! :D
Step-by-step explanation:
Answer:
The answer is A <VTU, B <T and D <UTV
Choose the solution set represented by the following graph.
{x | x R, x ≤ -2}
{x | x R, x > -2}
{x | x R, x < -2}
{x | x R, x ≥ -2}
Answer:
{x|x rx>-2}
Step-by-step explanation:
hope helpful answer
Clue #2: You use a total of 11 base ten blocks to show this number. The
number of tens blocks is greater than the number of ones blocks.
Clue #3: 9,4 and 6 are all not a digit in the number.
Answer:
12
Step-by-step explanation:
What is the domain of the function graphed below?
Answer:
x < 7
Step-by-step explanation:
the domain of a function defines the valid x values for the function.
as we go from left to right through all possible values of x, we see all values incl. x=-1 are creating a valid function result (y) for this function. until we reach x=7.
the empty ball indicates that there is no y value defined here. and for any value x>7 there is no y value defined.
so, x < 7 is the right one.
Answer: A
Step-by-step explanation:
Gary has four times as many points as Frank. Evan has five times as many as Frank. Dave is two times as many as Frank. altogether they have a total of 1,260 points
Answer:
the answer to this would be 114 i think sorry is im wrong
Step-by-step explanation:
Prove that : ⬆️⬆️⬆️
Anyone please solve that question.
A marine biologist wanted to construct a t interval to estimate the mean weight of marine otters using 98% confidence. They took a random sample of n = 8 marine otters to measure their weights. These weights were roughly symmetric with a mean of 2 = 4.5 kg and a standard deviation of sx = 1.1 kg.What critical value t* should they use?
Answer:
CI 98 % = ( 3.332 ; 5.668 )
t(c) = 2.9979
Step-by-step explanation:
Confidence Interval CI 98 % then α = 2 % α = 0,02 α/2 = 0.01
Sample information:
Sample size n = 8
sample mean x = 4.5
standard deviation of sample s = 1.1 kg
degree of freedom df = n - 1 df = 8 - 1 df = 7
With α/2 0.01 and df = 7 from t-studente table we find t(c)
t(c) = 2.9979
CI 98 % = ( x ± t(c) * s/√n )
CI 98 % = ( 4.5 ± 2.9979 * 1.1/ √8 )
CI 98 % = ( 4.5 ± 3.2976/2.8228 )
CI 98 % = ( 4.5 ± 1.168 )
CI 98 % = ( 3.332 ; 5.668 )
A + B + C = 4
step by step please
Step-by-step explanation:
Let's solve for a.
a+b+c=4
Step 1: Add -b to both sides.
a+b+c+−b=4+−b
a+c=−b+4
Step 2: Add -c to both sides.
a+c+−c=−b+4+−c
a=−b−c+4
Answer:
a=−b−c+4
(hope this helped plz mark brilliant)
How many multiples of 9 are between 100,000 and 100,185?
Answer:
20
Step-by-step explanation:
After 99,999 is 100,008 So start from there
100,008 1
100,017 2
Ten 9's later...
100,107 12
Eight 9's later...
100.179
Ther are 20
Please quickly need this before 30 mimutes
Answer:
x = 4.48
Step-by-step explanation:
read the picture
Abby went to the store to buy ice cream for her party. Each box costs $3. She has a coupon for 20% off her total. If Abby buys 3 boxes, what will she pay after using the coupon?
Answer: 7.2$
hope it helps :)
step-by-step explanation:
Cost of each box = 3$
Cost of 3 boxes without 20% coupon = 9$
With 20% off Coupon = 9 by 100 multiplied by 20
(the zero's cut with each other leaving)
= 9 by 10 multiplied by 2
(9 multiplied by 2 = 18)
= 18 by 10
(18 divided by 10 = 1.8)
= the 20% of 9$ is equal to 1.8
when subtracted with the total cost leaves 7.2$
A force of 50 pounds acts on an object at an angle of 45 degrees. A second force of 75 pounds acts on the object at an angle of -30 degrees. Find the direction and magnitude of the resultant force.
Answer:
The magnitude of the resultant force is:
[tex]R=100.3 \:pound[/tex]
The direction is:
[tex]\theta=1.2^{\circ}[/tex]
Step-by-step explanation:
Let's find the components of each vector is x and y-directions first.
Sum of x-component vector forces.
[tex]F_{tot-x}=F_{1}cos(45)+F_{2}cos(30)[/tex]
[tex]F_{tot-x}=50cos(45)+75cos(30)[/tex]
[tex]F_{tot-x}=100.3 \: pound[/tex]
Sum of y-component vector forces.
[tex]F_{tot-y}=-F_{1}sin(45)+F_{2}sin(30)[/tex]
[tex]F_{tot-y}=-50sin(45)+75sin(30)[/tex]
[tex]F_{tot-y}=2.1 \: pound[/tex]
The magnitude of the resultant force is:
[tex]R=\sqrt{100.3^{2}+2.1^{2}}[/tex]
[tex]R=100.3 \:pound[/tex]
The direction is:
[tex]tan(\theta)=\frac{2.1}{100.3}[/tex]
[tex]\theta=arctan(\frac{2.1}{100.3})[/tex]
[tex]\theta=1.2^{\circ}[/tex]
I hope it helps you!
Help pls it’s urgent. If your able to solve it than I’d really would appreciate you.
Answer:
Step-by-step explanation:
If the radius of the circle is equal to
[tex]\sqrt{\frac{A}{3} }[/tex] and the area is given as 45, then
[tex]r=\sqrt{\frac{45}{3} }[/tex] which simplifies to
[tex]r=\sqrt{15}[/tex] and to the nearest tenth,
r = 3.9
Suppose you receive the following ANOVA output in this study. What is the correct conclusion about this data (in correct APA format)?
ANOVA
Time Sum of df Mean Square F Sig. Squares Between Groups 91.467 2 45.733 4.467 021 Within 276.400 27 10.237 Groups Total 367.867 29
a. The effect of training on how long it takes to solve the problem was significant, F(2, 27)- 4.47, p> 05.
b. The effect of training on how long it takes to solve the problem was significant, F(2, 27) -4,47, p .05.
c. The effect of training on how long it takes to solve the problem was not significant, F(27, 2)-4.47, p >.05.
d. The effect of training on how long it takes to solve the problem was significant, F(2, 29) - 4.47. p ,05.
Answer:
The answer is "Option b"
Step-by-step explanation:
Through this context, it is determined that the p-value is much less than 0.05, which is 0.021, so the rejection of the null hypothesis at 5%. There should be enough evidence to demonstrate that now the effect of the organization was substantial on how long it has taken to solve the issue. This result is statistically important.
The correct conclusion about this data is (b) The effect of training on how long it takes to solve the problem was significant, F(2, 27) = 4.47, p < 05.
From the table, we have the following values
F = 4.467
df between group = 2
df within group = 27
To reference the result, we make use of:
F(df between group, df within group) = F value
So, we have:
F(2, 27) = 4.47
The above result shows the F value approximated to two decimal points
Hence, the correct conclusion about this data is (b) The effect of training on how long it takes to solve the problem was significant, F(2, 27) = 4.47, p < 05.
Read more about APA styles at:
https://brainly.com/question/858964
How do I do this?? Help plse!
A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by the given equation. Using this equation, find out the time at which the rocket will reach its max, to the nearest 100th of a second.
y=-16x^2+239x+127
Answer:
7.47 seconds
Step-by-step explanation:
From the quadratic equation the x coordinate of the vertex is
x = -b/(2a)
---------------------------
y = -16x² + 239x + 127
x = -239/ ( 2 * (-16) )
x = -239 / (-32)
x = 7.46875
Rounded
x = 7.47
Select all the numbers that are solutions to the inequality 4,5,,6>5,5.2>5,5.01>5,0.5
Plzzz answer I’ll give you 10 points
iii; iv; and v
Step-by-step explanation:
I think
I need help with this fast
Answer:
1. positive
2. No
(for number 3, I'm not sure if my answer to it is going to be correct)
Step-by-step explanation:
1. the dots look like they are going up
2. there are no outlying dots that look unusual
What is the height of the trapezoid?
Answer:
4 inches
Step-by-step explanation:
The line that is perpendicular to the bottom of the trapezoid is the height.
Find the volume of the prism.
The volume of the prism is (B) 864 mm3
Under the translation (X +3, y - 1) the point (3,4) will become (0.5)
True or False
9514 1404 393
Answer:
False
Step-by-step explanation:
Point (3, 4) will become (3+3, 4-1) = (6, 3), not (0, 5). The statement is False.
_____
Additional comment
The point (0, 5) would be translated to (3, 4). That is not what the question is asking.
Use the Pythagorean Theorem to find the length of the leg in the triangle shown below. The figure shows a right triangle with one leg marked 8. The hypotenuse is marked 10. The figure shows a right triangle with one leg marked 8. The hypotenuse is marked 10.
Answer:
6
Step-by-step explanation:
a² + b² = c²
a² + 8² = 10²
a² + 64 = 100
Subtract 64 from both sides
a² = 36
Take the square root of both sides
a = 6
Answer:
x²+y²=hyptneus ²
Step-by-step explanation:
length is always positive
so answer is 6
Select 3 sides that can form a right triangle.
Answer: 14, 48, 50
Step-by-step explanation:
14^2+48^2=50^2
Which of these would be the opposite of a progressive tax?
Answer:
b
Step-by-step explanation:
The product of 4 and the depth of the pool
Answer:
product means multiplication (×) so what ever is the depth of the pool is multiplied by 4
Step-by-step explanation:
what is the depth of the pool?
A car manufacturing company produces blue and black cars only. If 54% of 85658 total
production is blue cars, how many black cars are there?
Answer:
About 39,402.
Step-by-step explanation:
You need to find the 46% of black cars.