Which values complete the function?

f(x) = (x – )(x + )

Answer:

The length of the other leg is 4.58 units.

Step-by-step explanation:

A² + B² = C²       Use Pythagorean Theorem

2² + B² = 5²       Simplify

4 + B² = 25

-4           -4         Subtract 4 from both sides

B² = 21                Take the square root of both sides

B = 4.58 units

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Answer:

4.58 units is your answer

Step-by-step explanation:

Answer:

Yes the information i.e. AT ║ CS and diagonals AS = CT are sufficient to prove that CATS is an isosceles trapezoid.

CATS is an isosceles trapezoid. (Proved)

Step-by-step explanation:

Yes the information i.e. AT ║ CS and diagonals AS = CT are sufficient to prove that CATS is an isosceles trapezoid.

Proof :

Taking Δ CAT and Δ STA,

(i) CT = AS (Given)

(ii) AT is the common side and

(iii) ∠ ACT = ∠ TSA

{Since AT ║ CS and the angles are obtained from the same base AT}

Therefore, by the criteria Side-Side-Angle i.e. SSA, we can say Δ CAT ≅ Δ STA.

Hence, AC = ST {Corresponding sides}

Therefore, CATS is an isosceles trapezoid. (Proved)

Answer:

33 π

Step-by-step explanation:

Given,

Area of circle = 36 π

Central angle of sector,θ = 11/6 rad

Area of the sector = ?

we know,

A = π r²

36 π = π r²

r = 6

Area of sector

[tex]A = \frac{1}{2} r^2 \theta [/tex]

[tex]A = \frac{1}{2} \times 6^2 \times (\frac{11}{6}\pi)[/tex]

[tex]A = 33\pi \ sqr. units[/tex]

Answer:

The probability that a point chosen at random will be in the shaded region is 0.25

Step-by-step explanation:

We have been given a small shaded circle inside a larger un-shaded circle. This is shown in the image attached below.

The area of smaller circle is 78.5 squares inches and the area of larger circle is 314 square inches. We have to find the probability that a point chosen at random will be in the shaded region.

Probability is defined as the ratio of Favorable outcome to the Total outcomes. In this case the favorable outcome is that the point should be inside the shaded region i.e. in an Area of 78.5 square inches. And the total outcome is that the point can be anywhere inside the larger circle i.e. within an Area of 314 square inches. Thus the probability that a point chosen at random will be inside the shaded region will be:

[tex]Probability = \frac{\text{Favorable Outcome}}{\text{Total Outcome}} \\\\ = \frac{78.5}{314}\\\\=0.25[/tex]

Thus, the the probability that a point chosen at random will be in the shaded region is 0.25. This means there is a 25% chance that a randomly chosen point will be inside the shaded region.

Answer:

15

Step-by-step explanation:

The Number of Spearmint gum are 27 pieces

It is described as the comparison of two quantities to determine how many times one obtains the other. The proportion can be expressed as a fraction or as a sign: between two integers.

Let the total number of peppermint gum and spearmint gum in the container is X

Ratio of peppermint gum to spearmint gum=  2 : 3.

Total ratio = 2+ 3=5

we are given that peppermint gum are 18 pieces , so total number of gums  will be calculated as;

Ratio of peppermint/ Total ratio x Total number of gums = Number of peppermint;

2/5 x X= 18

X=(18X 5) / 2 = 45

X=  Total number of gums = 45

Ratio of spearmint/ Total ratio x Total number of gums = Number of spearmint;

3/5 x 45= 27

Therefore Number of Spearmint gum are 27 pieces

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Answer:

16

Step-by-step explanation:

You need to work backwards and do the opposite

So, first do subtraction since Melanie added to her collection. SO do the opposite of addition.

17-9=8

Then, since she sold half of her comics, and she is dividing her collect, you multiply 8 with 2.

8 x 2=16

Final answer

16 comics

(3)(-17.25)= -51.75

I think thats the right one

Answer:

A

Step-by-step explanation:

I hape that works

Answer:

Step-by-step explanation:

subtract 7 on both sides

40-7=33

-11b=33

divide -11 on both sides

b=-3

Answer:

B=-3

Step-by-step explanation:

-11b+7=40

Subtract -7 from both sides

-11b-7=40-7

11b=33

divide by -11

11b/-11=33/-11

-11 and -11 cancel out, leaving you with B=-33/11

thus B=-3

Answer: he has 22$

Step-by-step explanation:

34-12=22

Answer:

$22

Step-by-step explanation:

$34 total

$12 for the tickets

34-12=22

Jose has 22 dollars to spend on food and games

Answer:

A(3,-5) abscissa:3 ordenada: -5

B(-1,0) abscissa: -1 ordenada: 0  

C(-3,5;-2) abscissa: -3.5 ordenada -2

D(0,-1) abscisa: 0 ordenada:- 1

Step-by-step explanation:

What we must take into account is that the abscissa is the value of x and the ordinate is the value of y. There is always a number of the (x,y), that is, the abscissa is the first value and the ordinate is the second value, therefore:

Answer:

We need to identify  abscissa and ordenada in each of the pairs given.

For a pair (x, y), x is the abscissa and y is the ordenada.

A (3,-5) abscissa_____3____ ordenada______-5_______

B (-1,0) abscissa____-1____ ordenada_______0_____

C (-3,5;-2) abscissa_____-3.5____ ordenada_____-2______

D (0,-1) abscissa_____0___ ordenada___-1_______

Answer:

8x squared- 6x+16 is the answer

Answer:

41 and 24

Step-by-step explanation:

x+y=65 -------(A)

x-y=17 -------- (B)

(A)+(B)

(x+y)+(x-y)=65+17

2x=82

x=41

(B)===>

41-y=17

y=41-17

y=24

Answer:

Explanation:

The concrete question and the function or data were omitted.

I found the complete question on the internet. Please, find attached the picture with the complete question

You must complete the  sentence about the yearly rate of change of the bear population, telling whether it grows or shrinks and by what factor.

Thus, the goal is to interpret the rate of change in an exponential model.

The exponential model is:

       [tex]N(t)=2187\cdot \bigg(\dfrac{2}{3}\bigg)^t[/tex]

Let's analyze that function.

When t = 0, (2/3)⁰ = 1 and N(0) = 2,187 × 1 = 2,187

Thus, the population of bears starts with 2,187 individuals.

For t = 1, the population will be N(1) = 2,187 × (2/3).

For t = 2, the population will be N(2) = 2,187 × (2/3)²

And so on, every year the population of bears is multiplied by a factor of 2/3.

Since, 2/3 is less than 1, every year the population will be decreasing (decaying), by a factor of 2/3.

Thus, the answer, i.e. the complete sentence, is:

Every year, the bear population    shrinks    by a factor of    2/3   .

Answer:

shrinks/ 2/3

Step-by-step explanation:

Answer:

Y = 45*p(y) / (1 - p(y))    if I knew what p(y) is, we can find how many yellow marbles there are.   p(y) = probability of choosing yellow.

Step-by-step explanation:

Total marbles =  35 + 10 + yellow

If probability of choosing yellow =p(y) = yellow/Total

p(y) =  Y/(35 + 10 + Y)

Solve for Y,

p(y)*(35 + 10 + Y) = Y

45*p(y) + p(y)*Y = Y

45*p(y) = Y - p(y)*Y

Y = 45*p(y) / (1 - p(y))

To find the number of yellow marbles in the bag, set up an equation using the given probabilities. Simplify the equation and solve for the total number of marbles. Finally, substitute the value of  into the equation to determine the number of yellow marbles.

To solve this problem, we need to find the number of yellow marbles in the bag. Given that there are 35 blue marbles and 10 red marbles, we can subtract these two numbers from the total number of marbles to find the number of yellow marbles. Let's denote the number of yellow marbles as 'y'. We can set up the equation: 35 + 10 + y = total number of marbles. Since the probability of selecting a yellow marble is , we know that the ratio of yellow marbles to the total number of marbles is . This can be written as: y/total number of marbles = . Now, we can solve for 'y'.

By cross multiplying the ratio equation, we have: y = total number of marbles * . Now we can substitute this value of 'y' in the first equation: 35 + 10 + (total number of marbles * ) = total number of marbles. Simplifying this equation, we find: 45 + (total number of marbles * ) = total number of marbles. Rearranging the equation, we have: (total number of marbles * ) - total number of marbles = -45. Factoring out 'total number of marbles' from the left side, we get: total number of marbles * ( - 1) = -45. Dividing both sides of the equation by ( - 1), we find: total number of marbles = 45 / ( - ). Plugging in the value of , we can evaluate the expression: total number of marbles = 45 / ( - ) = - . Therefore, there are - yellow marbles in the bag.

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To simplify the expression (x⁻³ × y² / x⁴ × y⁶) cubed, you need to cube each term in the fraction individually.

To simplify (StartFraction (x⁻³) (y²) Over (x⁴) (y⁶) EndFraction) cubed, you need to cube each term in the fraction individually.

Here is the step-by-step breakdown:

Cube the numerator: x⁻⁹y⁶

Cube the denominator: x¹²y¹⁸

Combine the cubed terms: (x⁻⁹y⁶) / (x¹²y¹⁸)

Answer:

y= -4/3x

Step-by-step explanation:

rise over run

up 4, left 3

or

down 4, right 3

Answer: the z score is 2.4

Step-by-step explanation:

Since the lengths of the certain species of beetles are normally distributed, we would apply the formula for normal distribution which is expressed as

z = (x - µ)/σ

Where

x = length of the beetle species.

µ = mean length

σ = standard deviation

From the information given,

µ = 1.9 centimeters

σ = 0.2 centimeters

For a species with a length of 2.38 centimeters, the z score is

z = (2.38 - 1.9)/0.2

z = 0.48/0.2

z = 2.4

Answer:

Ana tiene 50 libros y Alicia 30.

Given:

The circle has a diameter of 30 cm and a chord of 10 cm is drawn.

Radius of the circle = 15 cm

Half of the chord = 5 cm

We need to determine the distance of chord from the center of the circle.

Distance of chord from the center of the circle:

Let us use the Pythagorean theorem, to find the distance between the center and the chord.

Let d denote the distance between the center and the chord of the circle.

Thus, we get;

[tex]15^2=d^2+5^2[/tex]

[tex]225=d^2+25[/tex]

[tex]200=d^2[/tex]

Taking square root on both sides, we get;

[tex]14.14=d[/tex]

Thus, the distance between the center and the chord of the circle is 14.14 cm.

Hence, Option A is the correct answer.

The chord is 14.14 cm far from the center of circle.

First option is correct.

The perpendicular drawn from center to the chord, is always divide the chord into two equal parts.

Radius of circle =  d/2 = 30/2 = 15 cm

A diagram is attached below, in which distance between center and chord is represented by x .

applying Pythagoras theorem

                  [tex]x=\sqrt{(15)^{2} -5^{2} }=\sqrt{225-25}=\sqrt{200} =14.14 cm[/tex]

Thus, the chord is 14.14 cm far from the center of circle.

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Answer:terri

Step-by-step explanation:

Answer:

(5.5,5)

Step-by-step explanation:

Answer:

The coordinate of the midpoint is (5.5,5)

Step-by-step explanation:

To find the midpoint between two points, find the average of the x coordinates and the midpoint of the y coordinates.

x=(8+3)/2

x=11/2

x=5.5

y=(2+8)/2

y=10/2

y=5

The coordinate of the midpoint is (5.5,5)

Answer:

Y=-3/5+3

Step-by-step explanation:

You need to move y’all variables to one side except Y. Then divide them by 5 to get rid of the 5 attached to the Y. So then you have Y=Mx+b.

Answer:

sin ( 2π(270)*t )

Step-by-step explanation:

Solution:-

- The frequency of the hum is denoted as k = 270 Hz.

- The displacement of the hum is modeled by a sinusoidal function.

- The trigonometric modelling of frequency generating systems is given in the following general form:

                               sin ( w*t ) + c

- Where,

              A: The amplitude of displacement e

              w: The angular speed of the hum

              c : The initial condition of displacement.

- Here, we will assume A = 1 and c = 0. The hum starts from time t = 0 seconds.

- The angular speed is the unit of speed that denotes the number of cycles in radians are undergone by the frequency generator device/person in unti time t.

- The angular speed is given by the following relation:

                             w = 2πk

                             w = 2π(270).

- The general model of the hum would be:

                             sin ( 2π(270)*t )

Answer:

80

Step-by-step explanation:

The sides of a triangle always add up to 180. 80+20+?=180

Answer:

C, 80 degrees

Step-by-step explanation:

Together, all of the interior angles in a triangle add up to 180 degrees. Therefore, the missing angle is the two other angles subtracted from 180 degrees. 180-20-80=80 degrees, or answer choice C. Hope this helps!

Answer: The customer should buy Giana’s jewelry box.

Step-by-step explanation:

The jewelry boxes are rectangular prisms, in order to find the box that would hold the most amount of jewelry we need to find the volumes of each box.

V= l.w.h

Katherine’s box: 5x5x5= 125

Giana’s box: 10x12x2= 240

Jackson’s box: 10x5x4= 200

Answer:

Elaine is the outside hitter in Freshman Year

Kelly is the setter in Junior Year

Shannon is the middle blocker in Sophomore Year

Please mark my answer as brainiest

Elaine is the freshman outside hitter, Kelly is the junior setter, and Shannon is the sophomore middle blocker.

Let's analyze the clues one by one:

Based on the given clues, we can conclude that:

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