============================================================
Explanation:
"y varies inversely as x^2" means y = k/(x^2) for some constant k.
Plug in (x,y) = (2,3) and solve for k
y = k/(x^2)
3 = k/(2^2)
3 = k/4
3*4 = k
12 = k
k = 12
The original equation updates to y = 12/(x^2)
As a check, plugging in x = 2 should lead to y = 3
y = 12/(x^2)
y = 12/(2^2)
y = 12/4
y = 3 ... we get the proper y value, so the answer is confirmed.
The equation that connects x and y, is, y = 12/(x^2).
What is equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign. In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.
For instance, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an 'equal' sign.
here, we have,
"y varies inversely as x^2" means y = k/(x^2) for some constant k.
Plug in (x,y) = (2,3) and solve for k
y = k/(x^2)
3 = k/(2^2)
3 = k/4
3*4 = k
12 = k
k = 12
The original equation updates to y = 12/(x^2)
As a check, plugging in x = 2 should lead to y = 3
y = 12/(x^2)
y = 12/(2^2)
y = 12/4
y = 3 ... we get the proper y value,
Hence, The equation that connects x and y, is, y = 12/(x^2).
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Kim is 4/5 as old as Alan. In four years, she will be 5/6 as old as he will be. How old is each now?
(Please show all your work, with statements)
Answer: Kim is 16 and Alan is 20
Kim => x
Alan => y
Kim is 4/5 as old as Alan => [tex]x=\frac{4}{5}y[/tex]
In four years, she will be 5/6 as old as he will be => [tex]x+4=\frac{5}{6}(y+4)[/tex]
Solving the system we obtain x=16 and y=20
Find the explicit formula for the geometric sequence. Then find a8.
4, 8, 16, 64, ....
Which Answer is Correct:
A) an = 4 ⋅ rn – 1; 1,024
B) an = a1 ⋅ 2n – 1; 256
C) an = 4 ⋅ 2n – 1; 512
D) an = 2 ⋅ 4n – 1; 512
Answer:
Step-
Honey it c !!!!………!l║.by-step explanation:
The explicit formula for the given "geometric-sequence" is aₙ = 4 × 2ⁿ⁻¹, and the eight term is 512, Option(c) is correct.
To find the explicit formula for a geometric-sequence, we need to find the common ratio between any two consecutive terms.
In this sequence, we can see that each term is obtained by multiplying the previous term by 2. So, the "common-ratio" is 2.
We also know the "first-term" is 4, so we use the formula for the nth term of a geometric sequence which is : aₙ = a₁ × rⁿ⁻¹,
Substituting the values,
We get,
⇒ a₈ = 4 × 2⁽⁸⁻¹⁾
⇒ a₈ = 4 × 2⁷
⇒ a₈ = 512,
Therefore, the correct answer is (c) aₙ = 4 × 2ⁿ⁻¹; 512.
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The given question is incomplete, the complete question is
Find the explicit formula for the geometric sequence. Then find a₈.
4, 8, 16, 32, 64,....
Which Answer is Correct:
(a) aₙ = 4 × rₙ - 1; 1024
(b) aₙ = a₁ × 2ⁿ⁻¹; 256
(c) aₙ = 4 × 2ⁿ⁻¹; 512
(d) aₙ = 2 × 4ⁿ⁻¹; 512
Triangle ABC has vertices A(4,5), B(8,9), and C(6,7). What are the vertices of triangle A′B′C′ if triangle ABC is translated according to the algebraic description (x, y) → (x + 3, y – 2)?
Answer:
A'(7,3), B'(11,7) and C'(9,5).
Step-by-step explanation:
The vertices of given triangle are A(4,5), B(8,9), and C(6,7).
Given rule of translation is
[tex](x,y)\rightarrow (x+3,y-2)[/tex]
We need to find the vertices of triangle A'B'C'.
Now,
[tex]A(4,5)\rightarrow A'(4+3,5-2)=A'(7,3)[/tex]
[tex]B(8,9)\rightarrow B'(8+3,9-2)=B'(11,7)[/tex]
[tex]C(6,7)\rightarrow C'(6+3,7-2)=C'(9,5)[/tex]
Therefore, the vertices of triangle A'B'C' are A'(7,3), B'(11,7) and C'(9,5).
select the postulate or theorem that you can use to conclude that the triangles are similar.
Answer:
First state that two triangles are similar if their corresponding angles are congruent and the corresponding sides are in proportion.
Let's take two triangles that are similar:
Taking two triangles:
[tex]{\triangle ABC \text{ and } \triangle PQR[/tex]
If
[tex]\angle A \displaystyle \cong \angle P[/tex]
and
[tex]\angle C \displaystyle \cong \angle R[/tex]
Then,
[tex]{\triangle ABC \sim \triangle PQR[/tex]
It is Angle-Angle (or AA) Theorem.
It says that two triangles are similar if they have two pairs of corresponding angles that are congruent.
½ of the length of rope A is equal to 3/5 of the length of rope B. Rope A is 42cm longer than rope B. How long is rope A?
Answer: A = x^2/16 + (5 - x/4)^2 > 20.5
Hope this helped.
If you draw a number tile from the following set of number tiles, how many possible outcomes are there? {2,4,6,8} A. 2 B. 3 C. 4 D. 5
Answer:
if you draw a single number tile there are 4 possible outcomes 2, 4, 6, or 8
Step-by-step explanation:
there are 4 number tiles 2, 4, 6, and 8 so there are 4 different possibilities 2, 4, 6, or 8
Answer:
4 possible outcomes
Step-by-step explanation:
please mark me brainliest!
The value of cos X is
40/41
42/41
9/41
35/41
Answer:
I think we're probably talking about a right triangle. So just find the adjacent side and the hypotenuse.
Step-by-step explanation:
Once we are considering [tex]x \in \mathbb{R}[/tex], the range of [tex]\text{cos}(x)[/tex] is [tex][1, -1][/tex]. Therefore, [tex]$\frac{42}{41} $[/tex] is not true.
In this exercise, we may have
[tex]$\text{cos}(x)=\frac{x}{r} =\frac{x}{\sqrt{x^2 +y^2} } $[/tex]
Considering the trigonometric functions beyond the unit circle.
Or considering the definition in the right triangle:
[tex]$\text{cos}(x)=\frac{\text{adjacent}}{\text{hypotenuse}} $[/tex]
Solve for y
-1 + y/8< 15
А. У<7/4
B. y < 2
C. y < 112
D. y<128
Answer:
D. y < 128
Step-by-step explanation:
-1 + y/8 < 15
y/8 < 15 + 1
y/8 < 16
y < 16 × 8
y < 128
Answer:
Y<128
Step-by-step explanation:
Step 1: Simplify both sides of the inequality.
1/8y-1<15
Step 2: Add 1 to both sides.
1/8y-1+1<15+1
1/8y=16
Step 3: Multiply both sides by 8.
(8)*(1/8y)<(8)*(16)
Y<128
Write an equation to represent the total cost for a certain number of cans. Use “c” for cost and “n” for number of cans.
Answer:
C = 1.25n
Step-by-step explanation:
From the given table,
There is a common difference of $1.25 in every successive term to the previous term of the total cost,
Difference in the costs of 2 cans and 1 can = $2.50 - $1.25 = $1.25
Similarly, Difference in the costs of 3 cans and 2 cans = $3.75 - $2.50 = $1.25
Total cost of the cans are forming an Arithmetic sequence, explicit formula the sequence will be,
[tex]T_n=a+(n-1)d[/tex]
= 1.25 + (n -1)(1.25)
Or, C = 1.25 + 1.25n - 1.25
C = 1.25n
Which statement is not true about these triangles?
Answer:
the answer is the second option.
Step-by-step explanation:
Answer:
the second option
Step-by-step explanation:
∠S corresponds to ∠V.
The experimental probability of getting a 6 on a number cube is 7 over 40 . Which is true about the event’s experimental probability? The number 6 came up a total of 40 times. The number 6 came up 7 times out of a total of 40 trials. The number cube was rolled a total of 47 times. After 7 trials, the number 6 came up 40 times.
Answer:
The number 6 came up 7 times out of a total of 40 trials
Step-by-step explanation:
Correct me if i am wrong
Answer:B
Step-by-step explanation:
Because I said so, if you don’t believe me you are a looser
An isosceles triangle has legs whose lengths are 10 inches and a base whose length is 12 inches. Which of
the following is the area of the triangle in square inches?
(1) 34
(2) 48
(3) 60
(4) 84
Answer:
48
Step-by-step explanation:
We have to find the height of the triangle to find its area. The altitude to the base of an isosceles triangle is also the median, meaning the altitude forms a 6-8-10 right triangle, so the length of the height is 8, and therefore the area is 0.5 * 8 * 12 = 48.
3/4 of a number is 5/8. Find the number.
Answer:
N = 5/6
Step-by-step explanation:
of means multiply and is means equals
3/4 * N = 5/8
Multiply each side by 4/3
4/3 * 3/4 N = 5/8 *4/3
N = 20/24
Simplifying
N = 5/6
The answer is 5/6.
please see the attached picture for full solution
Hope it helps
Good luck on your assignment
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.
The interior angles of triangle ABC measure 34°, 63°, and xº. The Interior angles of
triangle DEF measure yº, 63°, and 83º.
Which statement is true?
The triangles are similar because y=34 and there are three pairs of congruent
angles.
The triangles are similar because they each have an interior angles that
measures 63º.
The triangles are not similar because x does not equal y.
The triangles are not similar because y does not equal 34º.
Answer:
the triangles are similar because y=34 and there are three pairs of congruent angles
Step-by-step explanation:
this is correct because all of the angles in a triangle add up to 180, so if y = 34 then 34 + 63 + 83 = 180
this also means x is equal to 83 which means both triangles share all of the same angle measures
15. Select the graph which correctly displays the function f(x) = |x + 2|– 3.
Answer:
Step-by-step explanation:
f(0)=2-3=-1 so the point (0,-1) must be on the graph
f(-5)=|-5+2|-3=3-3=0 so the point (-5,0) must be on the graph
Then, the correct answer is the second graph
The graph that correctly displays the function f(x) = |x + 2|– 3 is the second graph.
How do we graph a function?We graph a function by calculating some values of f(x), plotting the points calculated as (x, f(x)), recognizing the trend, and completing the graph.
How do we solve the given question?To solve the given question, we will plot a graph of the function
f(x) = |x + 2|– 3 and then compare the graphs with it.
Our function f(x) = |x + 2|– 3 can be written as the combination of two functions g(x) = |x+2| and h(x) = -3
Since g(x) is a modulus function, it will be V-shaped. To recognize its start point and the trend, first we calculate x, when g(x) = 0
or, |x+2| = 0
or, x + 2 = 0
or, x = -2.
We find two more points, g(-1) and g(-3) to find if the V is upright or inverted.
g(-1) = |-1+2| = 1
g(-3) = |-3+2| = 1
Since g(-1) and g(-3) are greater than g(-2), g(x) = |x+2| is an upright V-shaped function starting from the point (-2,0)
h(x) = -3, is a straight line parallel to the x-axis, passing through the point -3 on the y-axis.
∴ f(x) = g(x) + h(x) = |x+2|-3 will move the graph of g(x) 3 points down.
The graph of f(x) will then be a V-Shaped upright curve, with the start point (-2, -3) and going up.
Our graph has been attached. The graph matching our graph is the 2nd one, so that is the right option.
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If an electric circuit is not grounded, it is best to reach out and touch it to
provide the ground.
O A. True
O B. False
Which phrase describes the algebraic expression B2+7?
the product of 8 and 7 more than a number
the quotient of 8 and 7
8 times the sum of a number and 7
8 times a number plus 7
Answer:
8 times a number plus 7
Step-by-step explanation:
Is anyone good at this? Can you answer some of the questions I cant figure out?
Answer:
sure, what questions?
Step-by-step explanation:
Answer:
Sure what are the question
Step-by-step explanation:
AABC has coordinates of A(-6, -3), B(7, -7), and C(0, 3). Find the coordinates of its image after a dilation centered at the origin with a scale factor of 1.5.
Another question worth brainliest and 30 points!
But give me correct answers and i’ll give it to u
Write 18 in lowest terms
30
A. 3/10
B. 3/5
C. 4/5
D. 6/10
Answer:
B. 3/5
Step-by-step explanation:
I actually dont know how to explain srry
Answer: B; 3/5
Step-by-step explanation: There are multiple different ways for solving this. We could guess and check, convert into a decimal, and/or percentage. Just to keep things simple, I will be converting these to decimals.
First, 18/30=.6
Now we have to convert the following multiple choice into decimals to find out which is equivalent.
3/10=.3 --> This is not .6 so this is incorrect
3/5=---->.6, so this is one choice we could pick
4/5--->.8, so this is incorrect
6/10---> which is also .6, so this option qualifies.
But then, in the question it states the lowest terms. So your answer would be 3/5.
hope this helps
-Carrie
P.S. be sure to mark BRAINLIEST
15 pts!!! will mark BRAINLIEST Sharon found a couch for $1,770.00. The sales person said it was on sale for 25% off. How much did Sharon pay for the couch if she also had to pay 6% sales tax on the total?
Answer:
$1407.15
Step-by-step explanation:
$1,770.00*0.25= $442.5
$1.770-$442.50 = $1327.5
$1327.5*0.06 = $79.65
$1327.50+$79.65 = $1407.15
student is asked to find the length of the hypotenuse of a right triangle. The length of one leg is 34 centimeters, and the length of the other leg is 26 centimeters. The student incorrectly says that the length of the hypotenuse is 7.7 centimeters. Answer parts a and b.
a. Find the length of the hypotenuse of the right triangle to the nearest tenth of a centimeter.
Answer = 42.8
Step-by-step explanation:
All right triangles have one right (90-degree) angle, and the hypotenuse is the side that is opposite or the right angle, or the longest side of the right triangle.[1] The hypotenuse is the longest side of the triangle, and it’s also very easy to find using a couple of different methods. This article will teach you how to find the length of the hypotenuse using the Pythagorean theorem when you know the length of the other two sides of the triangle. It will then teach you to recognize the hypotenuse of some special right triangles that often appear on tests. It will finally teach you to find the length of the hypotenuse using the Law of Sines when you only know the length of one side and the measure of one additional angle
Alaine has 1 gallon of paint. She is going to pour it into a paint tray that measures 10 inches wide, 12 inches long, and 5 cm deep.
(1 gallon = 231 in 1 inch = 2.54 cm)
Which of the following scenarios will happen?
The paint will not fill the tray by 369 cm
The paint will not fill the tray by 5.22 in?
The paint will fill the tray exactly
The paint will overfill the tray by 5 22 in?
Answer:
Aliane is bruh......................
Step-by-step explanation:
Given a segment with endpoint coordinates (0,4) and (-4,-3) find the
coordinates of the midpoint.
Enter the x-coordinate value here
Enter the y-coordinate value here
Answer:
(-2 , 1/2)
Step-by-step explanation:
x = -2
y = 1/2 or 0.5
5, Construct Arguments May bought 12
hats. What solid figure do the hats look
like? What attributes help you decide?
Answer:
Cone.
Step-by-step explanation:
From the given figure it is clear the hat is look like a solid figure, which have a circular base and single vertex, i.e., cone.
The following attributes help as to decide that the hat is a cone:
1. Hat and cone both have one vertex.
2. Hat and cone both have one circular base.
Therefore, the hat is look like cone.
Which of the following equations is equivalent to the slope formula
Answer: D
Step-by-step explanation: Notice that if you multiply both sides of the equation of y2 = m (x2 - x1) + y1 by X2 - X1.
This gives you m(X2 - X1) = Y2 - Y1.
Then add Y1 to both sides to get m(X2 - X1) + Y1 = Y2.
This slope would be equivalent to the usual slope formula.
What additional information could be used to prove that
AABC - ANML? Check all that apply.
O ZB ZM
O AABC is a right triangle.
AABC was rotated and dilated by a scale factor
between 0 and 1.
AABC was translated right and down.
OLC ZL
Answer:
A
C
E
that's the answer I got it right
on Edg
The relationship between the number of pounds (lb) of peppers and the
total cost in dollars is shown in the graph. What is the unit price of
peppers?
(Brainly this isn't a quiz for me so don't at me)
Explanation:
The unit price is the price of 1 unit, in this case one pound. So we locate x = 1 on the x axis, draw a vertical line upward til we get to the diagonal line, and then draw a horizontal line until we reach the y axis. You should arrive at y = 3.
Answer:
3$/1lb
Step-by-step explanation:
thats the answerrrr
The slope of a line is 2. The y-intercept of the line is –6. Which statements accurately describe how to graph the function? Locate the ordered pair (0, –6). From that point on the graph, move up 2, right 1 to locate the next ordered pair on the line. Draw a line through the two points. Locate the ordered pair (0, –6). From that point on the graph, move up 2, left 1 to locate the next ordered pair on the line. Draw a line through the two points. Locate the ordered pair (–6, 0). From that point on the graph, move up 2, right 1 to locate the next ordered pair on the line. Draw a line through the two points. Locate the ordered pair (–6, 0). From that point on the graph, move up 2, left 1 to locate the next ordered pair on the line. Draw a line through the two points.
Answer:
Step-by-step explanation:
