Imagine we drew a line from the centre (2,0) to the point (0,4).
Essentially the line we drew from the centre to that point on the circle is perpendicular to the tangent line slope-wise.
The slope of that line from the centre to the point is -2 based on the slope's equation or formula.
slope = [tex]\frac{y2-y1}{x2-x1}=\frac{4-0}{0-2} =-2[/tex]
Therefore the tangent equation's slope is 1/2 since any perpendicular line's slope is the negative reciprocal of the original line's slope.
By using the point-slope form, we must have the point on the tangent plane (0,4) and the slope we found which is 1/2.
[tex]y - 4 = \frac{1}{2}(x-0)\\ y= \frac{1}{2}x + 4[/tex]
Hope that helps!
Line segment AB has endpoints A(−1,6) and B(5,−6).
What are the coordinates of the point that partitions AB according to the part-to-part ratio 1:5?
(0,4)
(−4,4)
(4,0)
(4,−4)
Answer:
(0,4)
it was correct
How is the graph of the parent function, y = StartRoot x EndRoot transformed to produce the graph of y = StartRoot negative 2 x EndRoot? It is translated horizontally by 2 units and reflected over the x-axis. It is translated horizontally by 2 units and reflected over the y-axis. It is horizontally compressed by a factor of 2 and reflected over the x-axis. It is horizontally compressed by a factor of 2 and reflected over the y-axis.
Answer:
The answer is D
Step-by-step explanation:
The parent function will be reflected over the x-axis, compressed by a factor of 0.4, and translated into 2 units right.
It is given that the two functions one is the parent function [tex]\rm y = \sqrt[3]{-x}[/tex] and the transformed function [tex]\rm y = -0.4 \sqrt[3]{-x-2}[/tex].
It is required to find the transformation rules.
What is a function?It is defined as a special type of relationship and they have a predefined domain and range according to the function.
We have parent function:
[tex]\rm y = \sqrt[3]{-x}[/tex]
and transformed function:
[tex]\rm y = -0.4 \sqrt[3]{-x-2}[/tex]
If we multiply the parent function with a negative value it will f(x) over the x axis.
By the transformation rules of the function y = -f(x) reflects f(x) over x-axis.
After applying the transformation to the parent function:
[tex]\rm y = -\sqrt[3]{-x}[/tex]
By the transformation rules of the function if multiply the function with less than the unit value it will be compressed by the multiplied factor ie.
y = k f(x) and k<1, the function will be compressed by the k factor hence:
[tex]\rm y = -0.4\sqrt[3]{-x}[/tex] (after applying the second transformation)
As we can see the transformed function is subtracted by -2
By rules of transformation, for y=f(x-A) it would be a horizontal translation of 'A' unit to the right.
After applying this transformation we get:
[tex]\rm y = -0.4 \sqrt[3]{-x-2}[/tex] which is a transformed function derived after applying the transformation to the parent function.
Thus, the parent function will be reflected over the x-axis, compressed by a factor of 0.4, and translated into 2 units right.
Learn more about the function here:
brainly.com/question/5245372
Find the volume of the square pyramid shown below.
Rick is a car salesman and is paid off of a commission rate of 12%. If he sells $120,000 worth of cars, how much money will he make?
If Rick was to sell $120,000 worth of cars, he would make approximately $14,400. Hope this helps - Have an amazing rest of your day :)
A candy bar box is in the shape of a triangular prism. The volume of the box is 2,400 cubic centimeters.
A triangular prism is shown with base of triangle labeled 16 cm, sides of triangles labeled 17 cm, and length of the box equal to 20 cm.
Part A: What is the height of the base? Show your work. (5 points)
Part B: What is the approximate amount of cardboard used to make the candy box? Explain how you got your answer. (5 points)
Answer: the answer is 1000cm2.
The volume of a triangular prism shaped box is 2,400 cubic centimeters.
Base of the triangle = 16cm
Sides of the triangle = 17cm
Length of the box = 20cm
Triangular prismA triangular prism is a three-sided prism made of a triangular base and a corresponding side.
A. To find the height of the base = 3 x the volume divided by the base area = 15cm. B. The approximate amount of card board used to make the candy box:Using the lateral prism as the sides will be:Lateral area = Perimeter of triangle X height of the prism
Lateral area = (16 + 17 + 17) X 20
Lateral area = 50 X 20
Lateral area = 1,000 cm2
Therefore, the answer is 1000cm2.
What is the pattern: April 3, March 31, March 28, March 25?
A) 30 days earlier
B) 1 week earlier
C) 3 days earlier
D) 3 days later
Given the polar coordinates (4,-pi/3) which of the following rectangular coordinate pairs represents the same point?
a) (-2,2sqrt3)
b) (2,-2sqrt3)
c) (2sqrt3,-2)
d) (2sqrt3, 2)
The rectangular point that represents (4, - pi/3) is the one in option b: (2, -2√3).
How to change the coordinates?
For a point (x, y), the polar coordinates are:
R = √(x^2 + y^2)θ = atan(y/x).Then we must have:
R = 4 = √(x^2 + y^2)
Notice that for all the given points we have the radius equal to 4, so the only part that we care is the angle one:
-pi/3 = Atan(y/x)
tan(-pi/3) = y/x = -1.73
So, y and x must have different signs, and because the angle is negative, we will say that the y-component must be negative.
So the correct option will be b: (2, -2√3)
y/x = -2*√3/2 = √3 = -1.73
If you want to learn more about polar coordinates, you can read:
https://brainly.com/question/14965899
Answer: Quiz answer Unit 4 lesson 6
all answers are right
Step-by-step explanation:
1.) Given the polar coordinates (4,-pi3)which of the following rectangular coordinate pairs represents the same point?
Answer is B: (2,-2sqrt3)
2.) Given the rectangular coordinates (-5 5) which of the following polar coordinate pairs in, radians, represent the same points?
the correct option is D. (5√2,3π4)
3.)Rewrite in rectangular form: r=8 sin theta -2 cos theta.
Answer:
The equation in rectangular form is:
4.)Rewrite in polar form: x^2+y^2-6y-8=0
the Answer is B. r^2=6r sin 0+8
5.)The graph of r=-9 cos theta has which of the following characteristics?
Answer:
"circle; diameter of 9; center at (-4.5,0)"
6.)Which conic section is represented by the polar equation r=1/4-6 cos theta?
Answer:
Option 2 - Hyperbola
7.)Identify the horizontal and vertical intercepts of the limaçon represented by the equation r=7+3 cos theta ?
Answer:
vertical intercepts: (7, pi/2) and (-7, pi/2)
horizontal intercepts: (10,0) and (-4,0)
8.) Classify the limaçon represented by the equation r=1/2-1/2 sin theta.
A. Cardioid
9.)Write the equation for the graph of the rose curve.
answer C: r=9 sin 4 theta
10.) Write the equation for the graph of the lemniscate.
answer D: r^2=-49 sin 2theta
(pls don't report for me not explain it took a lot of time typing this and im just trying to help people have less stress on their shoulders :p )
In the 2004 Summer Olympics, the U.S. won 11 more medals than Russia. Together they won 195 medals. How many medals did the U.S. win?
Answer:
The U.S. won 101 medals.
Step-by-step explanation:
101
Hope it helped and have a great day!
Question
Find the slope of the line.
Answer:
undefined
Step-by-step explanation:
The slope of a line is the ratio of the vertical change between two points to the horizontal change between those same two points. When the line is vertical, the horizontal change is zero. That means the slope is some (non-zero) value divided by zero. Division by 0 gives a result that is "undefined."
The slope of a vertical line is "undefined."
of 34 cars in a parking lot 20 are green 8 are gold and the rest are black what are the odds against the next car leaving the lot being black
Answer:
3/17=.18
Step-by-step explanation:
There is a .18 or 3/17 chance that a car leaving will be black.
6. Complete a glide translation (x-2, y) and then reflect over x axis. What would be the new ordered pairs for P'and S'?
The glide translation and the reflection over x-axis are illustrations of transformation
The new ordered pairs for P'and S'are (x - 2, -y)
How to determine the new ordered pairs?The given parameters are:
Glide translation (x-2, y)
Reflection over x axis
Assume the coordinates of point P and S are (x,y)
When translated, the new points would be:
(x-2, y)
The rule of reflection over the x-axis is:
[tex](x,y) \to (x,-y)[/tex]
So, we have:
[tex](x - 2,y) \to (x - 2,-y)[/tex]
Hence, the new ordered pairs for P'and S'are (x - 2, -y)
Read more about transformation at:
https://brainly.com/question/4289712
Tiles with numbers 1 through 9 are placed in a bag. What is the probability of choosing an even number that is greater than or equal to 4? 1/9, 2/9, 3/9 or 4/9
Answer:
3/9
Step-by-step explanation:
Okay, first let's list all the numbers between 1 and 9
1, 2, 3, 4, 5, 6, 7, 8, 9
Now let's list all of the even numbers from the previous list
2, 4, 6, 8
Now let's list all of the numbers from the previous list that are equal to, or greater than, 4
4, 6, 8
That's only three potential numbers, out of a total of nine numbers
So it's a 3/9 chance
hello please help me with this
Answer:
physical contact needed
Step-by-step explanation:
need to see you
I’ll give you brainiest to who ever gets it right
Answer:
Line a is the best fit.
Step-by-step explanation:
The dots are more evenly spread across line a while with line b the dots at the bottom are far away from it. Line a passes through the center of the spread of the dots
I have five apples and ten oranges. If a fruit basket must contain at least one piece of fruit, how many kinds of fruit baskets can I make
Answer:
answer is 15
please that is what I'm thinking
The measure of supplementy is an angle which is (a) 36° (b) 144° (c) 79° (d) 101°
Answer:
Supplementary angles add up to = 180. Whatever the value of x is must add up with one of these answer choices to = 180 degrees. I am not provided this information, so this is all I got.
Step-by-step explanation:
I need to know 219.8 x 0.48.
Answer:
105.504
Step-by-step explanation:
I NEED THIS FAST a sample of an unknown liquid has a volume of 30.0 mL and a mass of 6 g. whats the density ? show your work and exaplain how you determined this value i will give you 20 branilest
Answer:
The density is 0.2g/mL^2.
Step-by-step explanation:
Use the formula: D=[tex]\frac{m}{V}[/tex] (where v=volume, and m=mass). The mass of the liquid is 6g. The volume of the liquid is 30mL.To determine density, insert the values into the formula ([tex]D=\frac{6g}{30mL}[/tex]).Divide: 6g/30mL= 0.2g/mL^22a=11.4 a= b-5=7.2 b= 3.4+c =10 c= 5.7divided by d= 1.9 d=
Hey there!
2a = 11.4
DIVIDE 2 to BOTH SIDES
2a/2 = 11.4/2
CANCEL out: 2/2 because it give you 1
KEEP: 11.4/2 because it give you the value of a-value
NEW EQUATION: a = 11.4/2
SIMPLIFY IT!
a = 5.7
Therefore, your answer is: a = 5.7
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Anyone please help me with this question
Answer:
12
Step-by-step explanation:
these are 2 similar triangles, as due to the construction we have 3 corresponding pairs of equal angles (the 47° angle is a given as equal, then due to the rules of crossing lines the inner angles as S must be equal as opposite angles, and that automatically makes the third angles equal, as the sum of all angles in a triangle must be always 180°).
in similar triangles the length ratio of corresponding sides is the same for all corresponding sides and lengths in these triangles.
so, we can use the sides opposite of the 47° angles to find that ratio :
21/9 = 7/3
and now also the sides 28 and x must have the same ratio :
28/x = 7/3
4/x = 1/3
12/x = 1
x = 12
which expression is equivalent to 1/4m+3/4m-3/8(m+1)?
A) 5/8m+3/8
b) -5/8m-3/8
c)3/8m+5/8
d)3/8m-5/8
Answer: 5/8m-3/8
Step-by-step explanation:
Tara runs along a straight running path at a constant rate of 410
feet per minute. Which graph represents Tara's run?
Please can you help me ?!asap!!!
Answer:
Looks like A
Step-by-step explanation:
PLEASE HELP!!! I am stuck!!
How do I get question c)?
-15/-21 -14/x
-15x = -21 * -14
x = -19.6
answer -14c = -19.6 or about -20
answer 3c = .6 or about 1
formula would be
y= 1.2x -3
partial variation means the line doesn't go through (0,0)
What is the area of this triangle?
y
5
D
4
F
Enter your answer in the box.
3
2
1
E
units2
Answer: 6 units squared.
Step-by-step explanation: The equation for area of a triangle is 1/2 * length of base * the length of the height.
The length of the base is D to E, which is 3 units.
The length of the height is from F to the base of the triangle, which is 4 units.
Therefore, the area of the triangle would be 1/2 * 3 * 4 = 6 units squared.
A square has a side that measures 5. 5 units. What is the area of a circle with a circumference that equals the perimeter of the square? Use 3. 14 for π, and round your answer to the nearest hundredth. 38. 47 units2 94. 99 units2 153. 86 units2 379. 94 units2.
The area of the circle whose circumference is equal to the perimeter of the square is 38.47 squared units.
What is circumference and area of the circle?Circumference of the circle is the length of its boundary. It can given as,
[tex]P=2\pi r[/tex]
The area of the circle is the space occupied by it. It can be given as,
[tex]A=\pi r^2[/tex]
Here (r) is the radius of the circle.
A square has a side that measures 5. 5 units. The perimeter of the square is the equal to the 4 times of its side. Thus its perimeter is,
[tex]P=4\times5.5\\P=22\rm\; units[/tex]
The circumference of the circle is equal to the perimeter of the square. Thus the radius (r) of circle is,
[tex]P=2\pi r\\22=2\times\pi r\\r\approx3.5\rm\; units[/tex]
The area of this circle is,
[tex]A=\pi r^2\\A=3.14\times (3.5)^2\\A=38.465\\A\approx 38.47\rm\; units^2[/tex]
Hence the area of the circle whose circumference is equal to the perimeter of the square is 38.47 squared units.
Learn more about the circumference and area of the circle here;
https://brainly.com/question/402655
Is the following function even, odd, or neither f(x)=x^3/x+1
Answer: Odd
Step-by-step explanation:
Odd functions are functions where the exponent of the leading term is odd. In this case, the exponent of 3 is odd, so the function is odd.
Two six-sided dice are rolled and their product is taken. How many elements are in the subset of even numbers?
12 in all:
{2, 4, 36, 6, 8, 10, 12, 16, 18, 20, 24, 30}
Answer:
Step-by-step explanation:
Kim says that 1/4 x 12 is the same as dividing 12 by 4 do you agree with Kim? explain your answer.
Answer:
yes i do
Step-by-step explanation:
1/4 x 12= 3
12 divided by 4 = 3
The table shows the number of points Malik and Alexia scored while playing a video game together.
The table is titled Video Game Scores. The table has two columns and three rows. The first column is labeled Malik's Score represented by m, the second column is labeled Alexia's Score represented by a. Malik scored sixty, Alexia scored ninety. Malik scored seventy, Alexia scored one hundred. Malik scored eighty, Alexia scored one hundred ten.
Which equation relates Alexia’s score, a, to Malik’s score, m
Answer:
a = m+30
Step-by-step explanation:
malik is always 30 points under alexia so in order for malik to be equal to alexia he would have to add an additional 30. i hope this helps :)
The density of apple juice is 1. 04 grams per cm^3
Answer:
1,040kg/m³
Step-by-step explanation:
1g/cm³ =1,000kg/m³
1.04g/cm³=?
= 1.04×1000
Density =1,040kg/m³