Answer:
i think its b
Step-by-step explanation:
1:Under what condition will the line px+py+r=0 mat be a normal to the circke x²+y²+2gx+2fy+c=0
2:prove that the two circles x²+y²+2ax+c²=0 and x²+y²+2by+c²=0 touch if
[tex]\frac{1}{a²}+\frac{1}{b²}=\frac{1}{c²}[/tex]
Answer:
#1The normal overlaps with the diameter, so it passes through the center.
Let's find the center of the circle:
x² + y² + 2gx + 2fy + c = 0(x + g)² + (y + f)² = c + g² + f²The center is:
(-g, -f)Since the line passes through (-g, -f) the equation of the line becomes:
p(-g) + p(-f) + r = 0r = p(g + f)This is the required condition
#2
Rewrite equations and find centers and radius of both circles.
Circle 1
x² + y² + 2ax + c² = 0 (x + a)² + y² = a² - c²The center is (-a, 0) and radius is √(a² - c²)Circle 2
x² + y² + 2by + c² = 0 x² + (y + b)² = b² - c²The center is (0, -b) and radius is √(b² - c²)The distance between two centers is same as sum of the radius of them:
d = √(a² + b²)Sum of radiuses:
√(a² - c²) + √(b² - c²)Since they are same we have:
√(a² + b²) = √(a² - c²) + √(b² - c²)Square both sides:
a² + b² = a² - c² + b² - c² + 2√(a² - c²)(b² - c²)2c² = 2√(a² - c²)(b² - c²)Square both sides:
c⁴ = (a² - c²)(b² - c²)c⁴ = a²b² - a²c² - b²c² + c⁴a²c² + b²c² = a²b²Divide both sides by a²b²c²:
1/a² + 1/b² = 1/c²Proved
Answer:
Answer is in the picture
The question is on the picture
answer:
ABCD is not congruent to KLMN
ABCD cannot be mapped onto KLMN
45 is what percent of 82
what percent of 5 is 26
Round each answer to the nearest TENTH!
HELP FINALS TODAY :(
Answer:
45 is 54.9 percent of 82.
26 is 520% of 5.
Answer:
45 is 55% of 82 and 520% of 5 is 26.
Step-by-step explanation:
First you want to set up a proportion, using the is over of formula (Is/of= %/100). In the first problem, 45 will be the is, 82 will be the of, for % will be the x, and 100 will go on the bottom (it will look something like this: 45/82=x/100). When you solve it, you get around 55 (45x100/82.) Same thing for the next equation, use the same formula (is/of=%/100) which turns into: 5/26= x/100 and you get 520%.
What is the next term of this sequence? -5,5,-6,6,-7,7,-8,..
Answer:
8,-9,9
Step-by-step explanation:
-3 to the 3rd power + 2
Answer:-7
Step-by-step explanation: -3^3+ 2
-9+2= -7
Don’t save the answer and I really need help
9514 1404 393
Answer:
zero solutions
Step-by-step explanation:
The first inequality has a boundary line with a slope of 3 and a y-intercept of 9. Shading is above the boundary line.
The second inequality has a parallel boundary line with a slope of 3 and a y-intercept somewhat lower, at -1. Shading is below this boundary line.
There is a gap between the shaded areas, so no points will be solutions to both inequalities.
What is the area of this???
Please help, please no links or websites
Answer:
12
Step-by-step explanation:
Just substitute 3 for n and solve.
Solve the expression [tex]2+(3-1)5\\[/tex]
Use PEMDAS and solve.
(3-1) = 2 so it becomes 2 + (2)5
Then multiply 2 and 5 to get 10.
Then add 2 so you get 12.
[tex]a_{3}[/tex]=12
Express 6x-9≤3x-11 in interval notation
Answer:
(-∞, - 2/3)
Step-by-step explanation:
Given the inequality :
6x-9≤3x-11
Collect like terms :
6x - 3x ≤ - 11 + 9
3x ≤ - 2
Divide both sides by 3
3x/3 ≤ - 2/3
x ≤ - 2/3
(-∞, - 2/3)
The dean of a major university claims that the mean number of hours students study at her University (per day) is at most 4.9 hours. If a hypothesis test is performed, how should you interpret a decision that rejects the null hypothesis
Answer:
If the null hypothesis is rejected, the interpreatation is that there is significant evidence at the desired significance level to conclude that the mean time the students study at her university is of more than 4.9 hours.
Step-by-step explanation:
The dean of a major university claims that the mean number of hours students study at her University (per day) is at most 4.9 hours.
At the null hypothesis, we test if the mean is of at most 4.9 hours, that is:
[tex]H_0: \mu \leq 4.9[/tex]
At the alternative hypothesis, we test if the mean is more than 4.9 hours, that is:
[tex]H_1: \mu > 4.9[/tex]
Accepting the null hypothesis:
If the null hypothesis is accepted, the interpretation is that there is not significant evidence to conclude that the mean time the students study at her university is of more than 4.9 hours.
Rejecting the null hypothesis:
As is the case in this question, if the null hypothesis is rejected, the interpreatation is that there is significant evidence at the desired significance level to conclude that the mean time the students study at her university is of more than 4.9 hours.
please help me i’m begging!!
i need to match them
An angle of depression is measured from the horizon downwards and an angle of elevation is measured from the horizon upwards.
When solving for the sides or angles of a right triangle you can use trigonometry. The sine of an angle is found by the ratio of the opposite side and the hypotenuse. The cosine of an angle is found by the ratio of the adjacent side and the hypotenuse. The tangent of an angle is found by the ratio of the opposite side and the adjacent side.
The opposite side is always the leg opposite the angle that you are using. The adjacent side is the leg that forms one of the sides of the angle you are talking about and the hypotenuse is always across from the right angle.
If you know two lengths you can find the third leg length by using the Pythagorean Theorem.
Find f(x) and g(x) so that the function can be described as y = f(g(x)).
y=[tex]\frac{9}{x^2} + 2[/tex]
Hope this help!!!
Have a nice day!!!
Dave wants to build a rectangular screened-in porch that is 20 feet long, and it will extend 6 feet out from the backside of his house.
Dave sketches a scale drawing of the porch. Choose a reasonable size and scale for Dave’s drawing of the porch. How should Dave label the dimensions of the model?
Answer:
Scale of the drawing would be 20/12 inch and 0.6 (6/12) inch
Step-by-step explanation:
For most of the residential buildings an scale of 1 inch = 12 feet can be used to draw the residential units.
In that case the scale of the drawing would be 20/12 inch and 0.6 (6/12) inch
Dave should label the dimensions in inches
A theater has 56 rows of seats. If there are 13 seats in the first row, 18 in the second row, 23 in thethird row. How many seats are there in total? Show explain all work.
Answer:
There are 54 in total because if you add them all it gets you 54
Mary plants roseas in 1/4 of her garden. She also plants some tulips in her garden. She has 1/12 of the garden left to plant more flowers. What fraction of Mary's garden has tulips?
Let x represent the full area if Mary's garden.
Mary plants roses in 1/4 of her garden. This means that the portion of the garden on which she planted roses would be 1/4 × x = x/4
She also plants some tulips in her garden. She has 1/12 of the garden left to plant more flowers. This means that the portion if the garden that she has left to plant more flowers would be 1/12 × x = x/12
The portion of the garden on which she planted tulips would be
x - (x/4 + x/12) = x - (3x + x)/12 = x - 4x/12
x - x/3 = (3x - x)/3 = 2x/3
Therefore, the fraction of Mary's garden that has tulips would be
(2x/3) /x = 2/3
Find the value of x
Answer:
x = 40
Step-by-step explanation:
Two triangles are similar so we can use similarity ratio to find x
x/16 = 35/14 cross multiply expressions
14x = 560 divide both sides by 14
x = 40
Select the correct answer.
What is the approximate value of the correlation coefficient for the given graph
Answer:
x = -5
Step-by-step explanation:
the answer is -5 sussy baka
This is because all points are on, or nearly on, the same straight line that has a negative slope. We consider this close to or nearly perfect negative linear correlation.
Side note: The r value and slope are both negative, but they aren't equal to one another.
need help with these table
simplify x^0 y^-3/x^2y^-1
The answer is 1/x^2y^2
The given expression is [tex] \frac{ {x}^{0} y { - }^{3} }{ {x}^{2}y { - }^{1} } [/tex]
We know that any number raised with zero power equals 1. Thus, [tex] {x}^{0} = 1[/tex]
Hence, the expression becomes
[tex] \frac{y { - }^{3} }{ {x}^{2} y { - }^{1} } [/tex]
Now, apply the quotient rule,[tex] \frac{ {x}^{ \alpha } }{ {x}^{b} } = {x}^{ \alpha - b} [/tex]
Using this rule, we have
[tex] \frac{1}{ {x}^{2} y { - }^{1 - ( - 3)} } [/tex]
[tex] = \frac{1}{ {x}^{2} y { - }^{1 + 3} } [/tex]
[tex]= \frac{1}{ {x}^{2} {y}^{2} } [/tex]Hence, the simplified expression is [tex] \frac{1}{ {x}^{2} {y}^{2} } [/tex]
Evaluate the expression 53 ÷ (13 − 8) × 2.
Numerical Answers Expected!
Answer:
21.2
Step-by-step explanation:
BODMAS : First bracket, then Division then multiplication.
[tex]53 \div (13-8) \times 2\\53 \div 5 \times 2\\10.6 \times 2\\21.2[/tex]
Without graphing, determine the range of the function f(x) = -5|x-7|+2 over
the interval (-5,10).
A. [2 -62
B. [2, 17]
C. (17, 62]
D. (-7, 2]
Create an example of a situation where there is a negative cash flow.?
PLWASE HELP GEOMETRY
A hot-air balloon is tied to the ground with two taut ropes. One rope is directly under the balloon and makes a right
angle with the ground. The other rope forms an angle of 60° with the ground. Which statements are correct?
Using trigonometry solve for h and d.
H :
Sin(60) = h/120
H = 120 x sin(60)
H = 103.9 = 104 feet
D:
Cos(60) = d/120
D = 120 x cos(60)
D = 60 feet
The correct answers:
A. D = 60 ft.
C. H = 104 ft
Hi! Could someone check this questions for me and if I have anything wrong tell what I have wrong please? That would be highly appreciated!!
Answer:
Both are correct
I'm only checking the first page
Step-by-step explanation:
Answer:
Step-by-step explanation:
The 3rd page both are wrong the correct answers are 6 degrees C and Ice would form on the top of the lake like it does now.
The 4th page the bottom one is wrong the correct answer is -22.
HELP PLSSS I WILL GIVE YOU BRAINLYEST
i suck at math this is easy
OPTION C is the correct answer.
Brainliest, 10 Points, & Thanks if answer to these questions!!!!!!!!
Answer:
D
Step-by-step explanation:
+1 and -1 change the x postion
A sample of 260 students enrolled at a university were asked what they intended to do after graduation. The results are shown below.
Bar Graph of Type of Employment
What percentage of students intend to go into state or local government after graduation?
Hi my name is Fabian and 69% because 69 is a man which is multi colour hair
Find the area of the polygon.
is this right?
ERGENT
Answer:
The answer is in the picture.
15cm²
Find the value of x.
Answer:
[tex]4/12=x/18[/tex]
[tex]x=4*18/12[/tex]
[tex]x=6[/tex]
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hope it helps...
have a great day!!
A car that is normally $4200 is on sale for 80% of its original cost.
what is the sale price of the car?
Answer:
$3360
Step-by-step explanation:
4200(.80) = 3360
anything less than 1.00 will be a decreasing amount, so i just took the 80% and put it as a decimal and multiplied to find the current cost of the car
