Answer:
(x - 2)^2 + (y + 1)^2 = 26
Step-by-step explanation:
A circle with center O(2, -1) that passes through the point A(3, 4).
=> The radius of this circle is OA which could be calculated by:
OA = sqrt[(3 - 2)^2 + (4 - (-1))^2] = sqrt[1^2 + 5^2] = sqrt[26]
The equation of a circle with center O(a, b) and radius r could be written as:
(x - a)^2 + (y - b)^2 = r^2
=> The equation of circle O above with center O(2, -1) and radius = sqrt(26) is shown as:
(x - 2)^2 + (y - (-1))^2 = (sqrt(26))^2
<=>(x - 2)^2 + (y + 1)^2 = 26
Hope this helps!
Answer:
(x-2)²+(y+1)²=26
Step-by-step explanation:
(x-2)²+(y+1)²=26
distance formula for radius
√(3-2)²+(4--1)² = √26
(x-h)²+(y-k)²=r²
helppppoppooppppppppp.
let z - 2 be an odd integer, is z+1 odd or even? explain
Answer:
Even
Step-by-step explanation:
If z-2 is an odd integer, that means z itself is an odd integer because very other integer is odd. Next, an odd integer + 1 is always an even integer. Therefore, z + 1 is an even integer.
The function y = 100(0.5)
x
4
models the percent, y, of an initial dose of medicine remaining in a patientbloodstream after x hours.
Based on the model, what percent of the initial amount of medicine will remain in the patient’s bloodstream after 10 hours? Round to the nearest whole percent.
Answer:
18% , 27 Hours
Step-by-step explanation:
On edge 2020
The percentage of the initial amount of medicine that will remain in the patient’s bloodstream after 10 hours is, 17.7%.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
Since, The function that models the percentage, y, of an initial dose of medicine remaining in a patient's bloodstream after x hours is given as,
⇒ [tex]y = 100 (0.5)^{x/4}[/tex]
Now, if we substitute the value of x as 10 because we need to find the percentage of medicine in the body after 10 hours.
Therefore, the value can be written as,
⇒ [tex]y = 100 (0.5)^{x/4}[/tex]
Put x = 10;
⇒ [tex]y = 100 (0.5)^{2.5}\\[/tex]
⇒ y = 17.677
⇒ y = 17.7
Thus, the percentage of the initial amount of medicine that will remain in the patient’s bloodstream after 10 hours is 17.7%.
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list the 6 matching student numbers you found.
Answer:
12, 16
Step-by-step explanation:
hope it helps
Can someone please help me answer this question?
Answer:
132.5 inches
Step-by-step explanation:
The area of a triangle is 1/2 base height. the area of a rectangle is base height. Applying those principles gives us two equations: 8.5 x 10 / 2, and 9 x 10
then we have 42.5 and 90. in order to find the entire figure, they must be added so 42.5 plus 90 is 132.5. make sure to add the unit!
Answer:
Step-by-step explanation:
Triangle area
A=h_b*b/2
=8.5*10/2
=42.5in^2
Rectangle area
A=lw
=9*10
=90
Add all together
42.5+90
=132.5in^2
I need help on my algebra. :)
Answer:
Option B
Step-by-step explanation:
Consider the steps below;
[tex]3x - 4y = 25,\\3x + 2y = 1\\\\3x - 4y = 25,\\+ ( - 3x - 2y = - 1 )\\\\- 6y = 24,\\y = - 4\\\\3x - 4y = 25,\\3x - 4 * ( - 4 ) = 25,\\3x + 16 = 25,\\3x = 9,\\x = 3\\\\Solution, x = 3, y = - 4[/tex]
To solve this system of equations, I applied process of elimination, which I thought was most convenient. Multiplying the bottom equation by - 1, I added both equations to cancel out the x's and solved for the value of y. Substituting this value of y into the top equation, I solved for the value of x;
Solution ⇒ Option B
someone please help me please and thank you
Answer:
it is the second one
Step-by-step explanation:
if you rotate it by 180 degrees then it will end up across the original and it will look upside down. after you rotate it dilate it by 1/2 which will look smaller than the original. after you dilate it it should be across the orriginal and upside down and be smaller than the original.
Help geometry what I m jlf
Picture provided
Answer:
[tex]\angle\,JLF = 114^o[/tex] which agrees with option"B" of the possible answers listed
Step-by-step explanation:
Notice that in order to solve this problem (find angle JLF) , we need to find the value of the angle defined by JLG and subtract it from [tex]180^o[/tex], since they are supplementary angles. So we focus on such, and start by drawing the radii that connects the center of the circle (point "O") to points G and H, in order to observe the central angles that are given to us as [tex]90^o[/tex] and [tex]138^o[/tex]. (see attached image)
We put our efforts into solving the right angle triangle denoted with green borders.
Notice as well, that the triangle JOH that is formed with the two radii and the segment that joins point J to point G, is an isosceles triangle, and therefore the two angles opposite to these equal radius sides, must be equal. We see that angle JOH can be calculated by : [tex]360^o-90^o-138^o=132^o[/tex]
Therefore, the two equal acute angles in the triangle JOH should add to:
[tex]180^o-132^o=48^o[/tex] resulting then in each small acute angle of measure [tex]24^o[/tex].
Now referring to the green sided right angle triangle we can find find angle JLG, using: [tex]180^o-24^o-90^o=66^o[/tex]
Finally, the requested measure of angle JLF is obtained via: [tex]180^o-66^o=114^o[/tex]
Solve & Share
Evaluate the expression 3+ (6 – 2) X 4.
Solve this problem using the order of operations.
3 + (6 – 2) X 4
Answer:
[tex]19[/tex]
Step-by-step explanation:
[tex]3 + (6 -2) \times 4[/tex]
[tex]3 + (4) \times 4[/tex]
[tex]3 + 16[/tex]
[tex]=19[/tex]
Answer:
19
Step-by-step explanation:
use the other of operations
please answer i need some help
Answer: - 1.10
Step-by-step explanation:
Point D is one space after -1 before -1.5.
Means it is at -1.10
x-y+z for x= 1,y=6,z=1
Answer:
-4
Step-by-step explanation:
1-6+1=-4
Answer:
The answer is (2, -1, 3)
Step-by-step explanation:
Hope this helped.
In a bag there are 3 red marbles, 2 yellow marbles, and 1 blue marble. What is the likelihood of a yellow marble being selected on the first draw?
Answer:
1/3
Step-by-step explanation:
there's 6 total marbles and 2 are yellow so this can be expressed as 2/6 which can be simplified to 1/3.
hope it helps!
Answer:
1/3
Step-by-step explanation:
The total number of marbles
3 red marbles, 2 yellow marbles, and 1 blue marble = 6 marbles
P( yellow) = yellow / total
= 2/6
= 1/3
whats a quadrilateral with two sides going in the same direction
Answer:
Trapezoid.
Step-by-step explanation:
That is a trapezoid ( in the UK a trapezium).
There is a pair of parallel sides.
6) Name all factors of x3 – 3x2 – 10x.
A. x
B. x + 5
C. x – 5
D. x + 2
E. x – 2
F. 2
G. 5
H. None of the above
its not on edg
Answer:
A. x
C. x – 5
D. x + 2
Step-by-step explanation:
From the question above, we are asked to find the factors of an algebraic expression that is given as:
x³ - 3x² - 10x
We would use the step of factorisation
Step 1
x(x² - 3x- 10)
The first factor of the algebraic expression has been obtained = x
Step 2
We factorise x² - 3x - 10
x² +2x - 5x - 10
(x²+2x) - (5x - 10)
x(x + 2) -5(x + 2)
(x + 2)(x - 5)
Step 3
x³ - 3x² - 10x
x(x² - 3x- 10)
(x)(x + 2)(x - 5)
Therefore, the factors of the algebraic expression are:
(x), (x + 2), (x - 5)
Prove that the following statements are false provide counter examples to disprove them: (1) If two angles have common vertex and their bisectors create one line, then these angles are vertical. (2) If the angle bisectors of two equal angles belong to the same line, then these angles are vertical.
Answer:
Examples to disprove them are as follows;
1) Angles of two different inscribed regular polygon in contact at their vertices
2) Angles on the opposite corners of a regular even sided polygon
Step-by-step explanation:
The statement to be disproved can be presented as follows;
1) ∠A and ∠B share a common vertex
2) The bisectors of ∠A and ∠B create one line then
∠A and ∠B are vertical, that is ∠A and ∠B are on the opposite sides of the point where two lines cross or ∠A = ∠B
Given that ∠A = Interior angle of a inscribed square = 90°
∠B = Interior angle of an inscribed equilateral triangle = 60°
Therefore the two circles can be arranged such that the line connecting the centers of both circles, are the bisectors of ∠A and ∠B
However, ∠A ≠ ∠B hence the two angles are not vertical QED
(2) The angles ∠A and ∠B where ∠A = ∠B are on the opposite corners of an even sided regular polygon are equal and their bisectors belong to the same line, however, it can be shown that ∠A and ∠B are not vertical.
Find the distance of point U(2, 3) from point V(5, 7).
Answer:
5
Step-by-step explanation:
You can draw a point at (5,3) and call it point A.
Connect point A with V and U to get VA = 4 and UA = 3.
You get a right triangle and use pythagoream theroem. The answer is the root of 4^2 + 3^2 which equals to 5.
The answer is 5
Which of the following is the explicit rule for a geometric sequence defined by a recursive formula of an=5an-1 for which the first term is 23?
Answer:
D
Step-by-step explanation:
The explicit rule for a geometric sequence is
[tex]a_{n}[/tex] = a [tex]r^{n-1}[/tex]
where a is the first term and r the common ratio
Here a = 23 and from the recursive formula
[tex]a_{n}[/tex] = 5[tex]a_{n-1}[/tex] , then r = 5 , thus explicit formula is
[tex]a_{n}[/tex] = 23 × [tex]5^{n-1}[/tex] → D
The correct option is D.
The calculation is as follows:The explicit rule for a geometric sequence is
[tex]an = ar^{n-1}[/tex]
Here
a represents the first term
r represents the common ratio
So,
[tex]a_n = 5a_{n-1}[/tex]
So,
[tex]a_n = 23\times 5^{n-1}[/tex]
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ANSWER ASAP IM GIVING BRAINLIEST!
The trapezoid is composed of a rectangle and two triangles. What is the area of the rectangle? What is the total area of the triangles? What is the area of the trapezoid?
A) 13 cm2; 15 cm2; 28 cm 2
B) 26 cm2; 15 cm2; 41 cm 2
C) 40 cm2; 15 cm2; 55 cm 2
D) 40 cm2; 7.5 cm2; 47.5 cm 2
Step-by-step explanation:
is there any diagram included about this question
NEED ANSWER ASAP. WILL MARK THE BRAINLIEST!
Answer: C) 4955.30
Step-by-step explanation:
Where: A = P(1 + r/n)nt
A= 4000 (1+0.055/1)1*4
A= 4000 x (1.055)^4
A= 4955.30
A rectangle has a length 3x-1 and a width 2x. What is the perimeterof the rectangle
The perimeter of rectangle is 10x-2
please see the attached picture for full solution
Hope it helps
Good luck on your assignment...
Answer:
10x-2
Step-by-step explanation:
We know the length is 3x-1. There are two lengths in a rectangle. Therefore, we multiply 3x-1 by 2 to get 6x-2. That is the sum of the two lengths.
Now for the width. Just as with the length there are two widths in a rectangle. After multiplying 2x by 2, we get 4x. That is the sum of the two widths.
To get the perimeter, we need to add both the lengths and both the widths together. Using what we did before, we add 4x + 6x - 2 to get 10x - 2 Hope this helps :)
The recipe calls for 5 cups of strawberries for every 3 cups of whipped cream. Write this comparison as a ratio. A. 5:3 B. 3:5 C. 5>3 D.
Answer: the answer is A 5:3
Step-by-step explanation:
Verify sin^4 x - sin^2 x = cos^4 x - cos^2 x is an identity
Answer:
(identity has been verified)
Step-by-step explanation:
Verify the following identity:
sin(x)^4 - sin(x)^2 = cos(x)^4 - cos(x)^2
sin(x)^2 = 1 - cos(x)^2:
sin(x)^4 - 1 - cos(x)^2 = ^?cos(x)^4 - cos(x)^2
-(1 - cos(x)^2) = cos(x)^2 - 1:
cos(x)^2 - 1 + sin(x)^4 = ^?cos(x)^4 - cos(x)^2
sin(x)^4 = (sin(x)^2)^2 = (1 - cos(x)^2)^2:
-1 + cos(x)^2 + (1 - cos(x)^2)^2 = ^?cos(x)^4 - cos(x)^2
(1 - cos(x)^2)^2 = 1 - 2 cos(x)^2 + cos(x)^4:
-1 + cos(x)^2 + 1 - 2 cos(x)^2 + cos(x)^4 = ^?cos(x)^4 - cos(x)^2
-1 + cos(x)^2 + 1 - 2 cos(x)^2 + cos(x)^4 = cos(x)^4 - cos(x)^2:
cos(x)^4 - cos(x)^2 = ^?cos(x)^4 - cos(x)^2
The left hand side and right hand side are identical:
Answer: (identity has been verified)
Find two consecutive whole numbers that square root 2 lies between.
Answer:
1 can be written as √1 and 2 can be written as √4 and because 1 < 2 < 4, our answer is 1 and 2.
Will Give Brainilest If Correct:
True or False:
0 is neither positive or negative.
Answer:
true
Step-by-step explanation:
0 is one of the many things in life that make no sense.
// have a great day //
Answer:
True
Step-by-step explanation:
0 is like the barrier between positive and negative numbers.
So the answer is true.
Two similar cylinders have radii of 28 inches and 32 inches. What is the ratio of their volumes?
Answer: A or B
Step-by-step explanation:
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11. The x-intercept of the line 2x + 3y – 36 = 0 is:
Answer:
(18,0)
Step-by-step explanation:
2x + 3y – 36 = 0
The x intercept is when y = 0
Solve for x
2x + 3*0 – 36 = 0
2x +0 -36 = 0
2x -36 =0
Add 36 to each side
2x-36+36 = 36
2x = 36
Divide each side by 2
2x/2 = 36/2
x = 18
Fabiola’s dog is 5 pounds heavier than one-third of the weight of Luisa’s dog. Fabiola’s dog weighs 23 pounds. Use the diagram to write an equation to represent the dogs’ weights. Let f represent the weight of Luisa’s dog. A long rectangle is the top section. 2 smaller rectangles are the bottom section. The top section represents . The bottom section represents . The equation is . ASAP PLEASE MARKING BRAINLIEST
Answer:
[tex]\frac{1}{3}[/tex]f + 5 = 23
Step-by-step explanation:
Let's put this statement into words: Fabiola’s dog is 5 pounds heavier than one-third of the weight of Luisa’s dog. Fabiola’s dog weighs 23 pounds.
This is an equation representing the weight of Fabiola's dog:
[tex]\frac{1}{3}[/tex]f + 5 = 23
I honestly have no idea what the diagram is supposed to mean, it'd be great if you could provide a picture :), then I'll edit my answer.
Answer:
The top section represents...........23 pounds
The bottom section represents..........5 + 1/3f
The equation is.........23 = 1/3f + 5
Step-by-step explanation:
2+|6+2|
Answer please
Answer: 10
Step-by-step explanation:
2 + |6+2|
2 + 8
Answer:
10
Step-by-step explanation:
This question uses the term absolute value.
Think of it as a form of distance. If the thing inside an Absolute value bracket is negative, absolute value will make is positive. If it is positive, it will stay the same. Thinking of this, we can solve the problem quite easily.
2 + |8| = 2+8=10
There’s your answer.
Diana and marie went out for lunch. Their Food and beverages cost $26.00 and there is an 8% meals tax. How much do they pay in total? Show your work.
Solve for x: 6x + 5 = 4x + 51
Answer:
x=23
Step-by-step explanation:
6x + 5 = 4x + 51
Take away 4x from both sides
2x + 5 = 51
Take away 5 from both sides
2x = 46
Divide both sides by 2
x=23
Answer: x=23
explanation: First thing you need to do is rearrange the equation so that like-terms are together. To avoid negative numbers, subtract 5 from both sides of the equation (subtraction property of equality), and subtract 4x from both sides (subtraction property of equality). You're equation would then be 2x=46. Divide both sides (division property of equality) by 2 to isolate your variable of x. You'll be left with a final answer of x=23.