Find the equatios of the tangents to the curve xy=6 which are parallel to the line 2y+3x=0
Answers
y=-3x/2
because gradient =-3/2
and u must use formula (y-y1) = m(x-x1)
Related Questions
I need help with Kumon math level I 187 B
Answers
Answer:
attached is the answer :)
Step-by-step explanation:
The length of the tangent AB is [tex]\sqrt{2a^{2}+2b^{2} }[/tex] if the radii of the largest circle is a and the radii of the smallest one is b.
What is the tangent?It is a line that touches a single point on the circle.
How to determine the length of that tangent?Firstly we have to draw a perpendicular from O to the radii of the smallest circle. In this way AOLB becomes a rectangle. We let the point where the bisector intersect the radii as L.
OA=a
Lb=a also
O'L=b-a
In triangle OLO' we use pythagoras to calculate the value of OL which wil then equal to AB so,
OL=[tex]\sqrt{(b-a)^{2}+(a+b)^{2} }[/tex]
=[tex]\sqrt{2a^{2}+2b^{2} }[/tex]
It will be the length of AB also.
Learn more about circles at https://brainly.com/question/24375372
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What additional information could be used to prove that triangle XYZ is congruent to triangle Fe.g. using asa or aas check all that apply
Answers
answer: Answer: ∠Z ≅ ∠G and XZ ≅ FG or ∠Z ≅ ∠G and XY ≅ FE are the additional information could be used to prove that ΔXYZ ≅ ΔFEG using ASA or AAS. we need only one angle and side.
Answer:
its the first one and the last one ..that's the answer.
Suppose a stock drops in value by 60% one week, then increases in value the next week by 75%. Is the value higher or lower than where it started
Answers
Answer:
Lower
Step-by-step explanation:
Use the number 100 to see how the value changes:
First, calculate the 60% drop:
100(0.4)
= 40
Then, calculate the 75% increase:
40(1.75)
= 70
So, since 70 is smaller than 100, the value is lower than where it started.
Write a polynomial function in factored form of least that the given zeros and a leading coefficient of 1.
1. -6, 3, 5
2. 2, -2, -6i
Write a polynomial function in standard form of least degree that have real coefficients, the given zeros, and a leading coefficient of 1.
3. -1, 1, 7
4. 3, -3, -2i
Answers
9514 1404 393
Answer:
p(x) = (x+6)(x-3)(x-5)p(x) = (x-2)(x+2)(x^2 +36)p(x) = x^3 -7x^2 -x +7p(x) = x^4 -5x^2 -36Step-by-step explanation:
Each root r gives rise to a binomial factor (x-r). Each complex root also has a conjugate root, so roots ±ri give rise to a binomial factor (x^2 +r^2).
__
1. p(x) = (x -(-6))(x -3)(x -5)
p(x) = (x+6)(x-3)(x-5)
__
2. p(x) = (x -2)(x -(-2))(x^2 +6^2)
p(x) = (x -2)(x +2)(x^2 +36)
__
If you want standard form, you can start with factored form, then multiply it out.
3. p(x) = (x -1)(x +1)(x -7) = (x^2 -1)(x -7) = (x^2 -1)x +(x^2 -1)(-7)
p(x) = x^3 -7x^2 -x +7
__
4. p(x) = (x -3)(x +3)(x^2 +2^2) = (x^2 -9)(x^2 +4)
p(x) = x^4 -5x^2 -36
After 5 minutes, Pablo jumped 14.6 feet. After 10 minutes, he
jumped 14.1 feet. What are the two ordered pairs?
Answers
Answer:
Step-by-step explanation:
(5, 14.6)
(10, 14.1)
Is this relation a function?
Answers
Answer:
yes though i am not completely sure
Step-by-step explanation:
A(n) ______ shows relationships between things you are comparing.
Venn diagram
whole number
integer
Answers
Answer:
Venn Diagram
Step-by-step explanation:
Its a graph that's used in listing similarities and differences the other two aren't graphs but math terms
if a pilot is randomly selected, find the probability that his weight is between 120 lb and 161 lb witha mean of 130 and 27.3
Answers
Answer:
The probability that the weight of a randomly selected pilot is between 120 lbs. and 161 lbs. is 0.52.
Step-by-step explanation:
Let X = weight of pilots.
It is provided that X follows a normal distribution with mean, μ = 130 lbs. and standard deviation, σ = 27.3 lbs.
Compute the probability that the weight of a randomly selected pilot is between 120 lbs. and 161 lbs. as follows:
[tex]P(120<X<161)=P(\frac{120-130}{27.3}<\frac{X-\mu}{\sigma}<\frac{161-130}{27.3})\\\\=P(-0.37<Z<1.14)\\\\=P(Z<1.14)-P(Z<-0.37)\\\\=0.87286-0.35569\\\\=0.51717\\\\\approx 0.52[/tex]
Thus, the probability that the weight of a randomly selected pilot is between 120 lbs. and 161 lbs. is 0.52.
Tiffany took her friends out to dinner. If the dinner was $29.53 and she gave a 20% tip, how much money did she spend on dinner?
Answers
Answer: The answer is 35.43 because 29.53 times 20% is 5.90, so you add 5.90 to 29.53 to get 35.43.
HELPPPPPPPPP!!!
What is z/
W
0-4 + 16i
O 6 + 10i
O 7+11i
O 8+2i
Answers
The value of z/w is, (8 + 2i)
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The graph is shown in figure.
And, The point z = (6 + 10i)
The point w = (1 + i)
Now,
We can find the value of z/w is,
⇒ z/w = (6 + 10i) / (1 + i)
= (6 + 10i) (1 - i) / (1 + i) (1 - i)
= (6 - 6i + 10i - 10i²) / (1 - i²)
= (6 + 4i + 10) / (1 + 1)
= (4i + 16) / 2
= (8 + 2i)
Learn more about the mathematical expression visit:
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Select the correct answer. Given:In quadrilateral WXYZ , and bisect each other at point A. Prove: Quadrilateral WXYZ is a parallelogram. Statement Reason 1. and bisect each other. given 2. WA = YA XA = ZA definition of bisection 3. m∠YAZ = m∠XAW Vertical Angles Theorem 4. SAS criterion for congruence 5. ∠ YWX ≅ ∠WYZ Corresponding angles of congruent triangles are congruent. 6. || converse of Alternate Interior Angles Theorem 7. m∠XAY = m∠ZAW Vertical Angles Theorem 8. ∆XAY ≅ ∆ZAW SAS criterion for congruence 9. ∠XZW ≅ ∠ZXY Corresponding angles of congruent triangles are congruent. 10. || converse of Alternate Interior Angles Theorem 11. Quadrilateral WXYZ is a parallelogram. definition of parallelogram What is the missing statement in this proof? A. ∆XWY ≅ ∆ZYW B. ∆YAZ ≅ ∆WAX C. WY = XZ D. ||
Answers
Answer:
YAZ WAX is the answer...i couldn't put it as its shown on the problem but its the same letters
Step-by-step explanation:
i took the test and got 5/5....this answer was correct
25 miles/hour =_meters/minute
Answers
Hcf 16 and 24 find ???
Answers
Answer:
8
Step-by-step explanation:
Answer:
8
Step-by-step explanation:
First Of All We Have Factorize These Two Numbers And Then We Will Find Their Highest Common Factor
16–2×2×2×2
24–2×2×2×3
So The Highest Common Factor is 8
That's Because Both Can be Divided by 8 and 8 is their Highest Common diviser.
Hope This Helps
Find the product
(3x+4y)(x+y)
Answers
Answer:
Step-by-step explanation:
(3x+4y)(x+y)
Solution=3x^2+4xy+3xy+4y^2
=3x^2+7xy+4y^2
the cube_____of 27 is 3.
Answers
Answer:
3
Step-by-step explanation:
Answer:
the cube ROOT of 27 is 3.
Step-by-step explanation:
Cleo buys 2/4 pounds of turkey. Tyler buys 1/2 pounds of turkey. Who buys more turkey? Pls explain.
Answers
Answer:
No one because They bought the same amount. 2/4 is equvalent to 1/2, meaning they both are half a pound. :)
Step-by-step explanation:
If this helps pls mark me brainliest
Have a great day :)
Remember that whole numbers that are next to each other, for example, 2 and 3, or 43, 44, and 45 are called consecutive numbers.
If n is the larger of two consecutive numbers, write an expression for the other number.
Answers
Given:
Whole numbers are next to each other and they are called consecutive numbers.
To find:
The expression for the other number if the larger of two consecutive numbers is n.
Solution:
According to the given definition, whole numbers are next to each other and they are called consecutive numbers. It means the difference between two consecutive interest is 1.
Larger number - Small number = 1
[tex]n-\text{Smaller number}=1[/tex]
Add smaller number on both sides.
[tex]n=1+\text{Smaller number}[/tex]
Subtract 1 from both sides.
[tex]n-1=\text{Smaller number}[/tex]
Therefore, the expression for the other number is n-1.
Now given a rope hanging from the top of a pole. The end lying on the ground is 3 chi long. When tightly stretchedit is 8 chi from the bottom of the pole. Let x represent the height of the pole. Tell: how long is the rope and how high is the pole
Answers
Answer:
Height of the pole = 9.17 chi.
Length of the rope = 12.17 chi.
Step-by-step explanation:
Given that the rope is hanging from the top of a pole having height x chi and the portion of the rope lying on the ground is 3 chi.
So, the length of the rope= x + 3 chi.
Let AB represents the pole in the figure, and one end of the rope is at point A.
When the rope is tightly stretched, let C be the other end of the rope as shown in the triangle.
The length of the rope = AC.
\Rightarrow AC=x+3 chi.
Distance from the bottom of the pole, point A, to the other end of the pole, point B, is 8 chi.
So, BC=8 chi.
As the triangle ABC is a right-angled triangle, so by using Pythagoras theorem,
[tex]AC^2= AB^2+BC^2[/tex]
[tex]\Rightarrow (x+3)^2=x^2+8^2[/tex]
[tex]\Rightarrow x^2+6x+9=x^2+64[/tex]
[tex]\Rightarrow 6x=64-9=55[/tex]
[tex]\Rightarrow x=55/6=9.17[/tex] chi.
Hence, the height of the pole, [tex]AB=x=9.17[/tex] chi,
and the length of the rope, [tex]x+3=9.17+3=12.17[/tex] chi.
Daniel has 1615 Skittles stored in boxes. If there are 85 boxes, how many Skittles must go in each box?
Answers
Answer:
19
Step-by-step explanation:
While it's really easy to just divide, I'm sure your teacher wants an equation so:
1615=85x here x= skittle boxes
1615/85=x In this line you can use divide to cancel out the multiplication, giving you
x=19
A market research firm supplies manufacturers with estimates of the retail sales of their products from samples of retail stores. Marketing managers are prone to look at the estimate and ignore sampling error. An SRS of 28
stores this year shows mean sales of 64 units of a small appliance, with a standard deviation of 13.8 units. During the same point in time last year, an SRS of 28 stores had mean sales of 48.958 units, with standard deviation 15.4 units. An increase from 48.958 to 64 is a rise of about 24%.
1. Construct a 99% confidence interval estimate of the difference μ1−μ2
μ1−μ2, where μ1 is the mean of this year's sales and μ2 is the mean of last year's sales.
(b) The margin of error is
2. At a 0.01 significance level, is there sufficient evidence to show that sales this year are different from last year?
Answers
Answer:
Confidence interval = (4.61972, 25.46428)
Margin of Error = 3.9078675
Step-by-step explanation:
Given that :
This year:
Mean (μ1) = 64
Standard deviation (s1) = 13.8
Sample size (n1) = 28
Last year:
Mean (μ2) = 48.958
Standard deviation (s2) = 15.4
Sample size (n2) = 28
99% confidence interval estimate of the difference μ1−μ2
α = 1 - 99% = 0.01
(μ1−μ2) ± t0.01,27 * (√s1²/n1 + s2²/n2)
t0.01, 27 = 2.770683 (t value calculator)
√s1²/n1 + s2²/n2 = √13.8^2/28 + 15.4^2/28 = 3.9078675
(64 - 48.958) ± 2.667(3.9078675)
15.042 ± 10.42228
(15.042 - 10.42228), (15.042 + 10.42228)
(4.61972, 25.46428)
The margin of error :
√(s1²/n1) + (s2²/n2)
√(13.8^2/28) + (15.4^2/28)
√(6.8014285 + 8.47)
√15.2714285
= 3.9078675
You move up 2 units and down 7 units. You end at (1, -2). Where did you start?
Answers
(5,-2)
that's all. up and down basically means that the point is moving along the x axis.
Does -3 and -2 make a right triangle
Answers
Answer:
There is no such thing as negative distances. In order to do Pythagoras theorem you need to know which one is the hypotenuse
Explain: you can’t make a right triangle with negative numbers. Plz mark brainlest
Write the ratio in fractional notation in lowest terms. 28 inches to 42 inches
Answers
28 to 42 means 28/42
We now reduce 28/42 to lowest terms.
28 ÷ 7 = 4
42 ÷ 7 = 6
We now have 4/6.
We now reduce 4/6.
4 ÷ 2 = 2
6 ÷ 2 = 3
Final answer: 2/3
What is the value of the expression when x = 4 and y = 3?
3x² + 5y
A.27
B.38
C.63
D.159
Answers
Answer:
63
Step-by-step explanation:
3x^2+5y
Where X=4,Y=3
So
=3×4×4+5×3
=48+15
=63
So 63 is the answer
Answer:
C.63
Step-by-step explanation:
3x4²+5x3
4² = 16
3x16+5x3
Then
3x16 = 48
5x3 =15
48+15 equals 63
The answer is 63
Have a Good Day!!!!
Help please! I’ll give brainliest!
Answers
Answer:
i think the answer is B
i am sorry if this is wrong
Step-by-step explanation:
how many diagonals does a nanogon have
Answers
Answer:
nanogon have 27 diagnals
Given that someone likes to play board games, is that person more or
less likely to take an interest in reading?
A. More
B.less
C.about the same
D. Can’t tell
Answers
Answer:
more
Step-by-step explanation:
brainliest please
Gina wants to make
hamburgers for 12 people.
Her recipe serves 8 people
and calls for 4.5 pounds of
ground beef. How much
ground beef should
Gia purchase?
h
Answers
Answer:
6.75 pounds
Step-by-step explanation:
This question is of direct variation. We will use x as our answer. 8 is 2/3 of 12, so 4.5 should be 2/3 of x. We can now make an equation.
[tex]4.5=\frac{2}{3} x\\4.5*\frac{3}{2} =\frac{2}{3} x*\frac{3}{2} \\6.75=x[/tex]
In order to solve the equation, we multiply both sides by the reciprocal of 2/3, which is 3/2.
* stands for multiplication
From solving our equation, we get 6.75. We can't forget the units, so the answer is 6.75 pounds.
A bike travels 24 miles in 3 hours. How many miles will the bike travel in 12 hours?
Answers
Answer:
72
Step-by-step explanation:
24 / 3 = 8
so
8*7 = 72
Answer:
72
Step-by-step explanation
24 / 3 = 8
so
8*7 = 72
can you help me with it please
Answers
Answer:
[tex] \frac{20}{29}[/tex]
Step-by-step explanation:
Equation of unit circle is:
[tex] x^2 + y^2 = 1[/tex]
Plug [tex] y = \frac{-21}{29}[/tex] in above equation.
[tex] x^2 + \bigg( \frac{-21}{29}\bigg)^2 = 1\\\\
x^2 + \frac{441}{841} = 1\\\\
x^2 = 1-\frac{441}{841}\\\\
x^2 = \frac{841-441}{841}\\\\
x^2 = \frac{400}{841}\\\\
x =\pm\sqrt{ \frac{400}{841}}\\\\
x =\pm\frac{20}{29}\\\\
[/tex]
Since, point P is in the fourth quadrant.
Therefore, x - coordinate should be positive.
[tex] \huge \red {\boxed {\therefore x =\frac{20}{29}}} \\\\
[/tex]