Geometry something about chords but I don’t understand this whatsoever

Answer:

-3

Step-by-step explanation:

y = 2/3x +6

Exchange x and y

x = 2/3y +6  

Solve for y

x-6 = 2/3y+6-6

x-6 = 2/3 y

Multiply each side by 3/2

3/2(x-6) = 3/2*2/3y

3/2x - 9 = y

The inverse is 3/2x -9

f^-1(x) = 3/2x-9

Let x = 4

f^-1(4) = 3/2(4)-9

         = 6-9

        = -3

x-intercept = (2, 0)

y-intercept = (0, 7.5)

Step-by-step explanation:

The x-intercept can be found by setting y = 0. Thus,

[tex]15x + 4(0) = 30 \Rightarrow x = 2[/tex]

Therefore, the x-intercept is (2, 0).

The y-intercept can be found by setting x = 0:

[tex]15(0) + 4y = 30 \Rightarrow y = 7.5[/tex]

Therefore, the y-intercept is at (0, 7.5)

Answer:

60cm

Step-by-step explanation:

12x-10x=120

2x=120

x=60

Answer:

60 cm

Step-by-step explanation:

We know that 12x - 10x = 120.

We simplify that to 2x = 120.

That way, x = 60.

The length of the line is 60 cm.

9514 1404 393

Answer:

Step-by-step explanation:

In the transformed function f(x-h), the value of h is the right shift of the parent function.

For h positive, shift is to the right.

For h negative, shift is to the left.

Changing the value of h shifts the graph horizontally. Positive values of h shift the graph to the right. Negative values shift left.

Note: there is a minus sign in front while the value of h is positive, i.e. |x - 5| is shifted 5 units to the right, and |x - (-5)| = |x + 5| is shifted 5 units to the left.

Answer:

6

Step-by-step explanation:

236/10 = 23 remainder 6, so 6 crayons is the answer

9514 1404 393

Answer:

Step-by-step explanation:

The perimeter of a rectangle is given by ...

  P = 2(L +W) . . . . . where L and W represent the length and width

Filling in the given values, we have ...

  24 = 2(y +x)

Solving for y, we get ...

  12 = y + x . . . . . divide by 2

  y = 12 -x . . . . . . subtract x

The length y is the difference between 12 and the width x.

__

We want both x and y to be non-negative, so possible values of y range from 0 to 12.

Answer:

A president, a vice president, and a secretary can be selected in 60 ways.

Step-by-step explanation:

The order in which the people are chosen is important(first president, second vice president and third secretary), which means that the permutations formula is used to solve this question.

Permutations formula:

The number of possible permutations of x elements from a set of n elements is given by the following formula:

[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]

In this question:

3 students from a set of 5, so:

[tex]P_{(5,3)} = \frac{5!}{2!} = 5*4*3 = 60[/tex]

A president, a vice president, and a secretary can be selected in 60 ways.

Answer:

A sample of 3851 is required.

Step-by-step explanation:

We have that to find our level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.98}{2} = 0.01[/tex]

Now, we have to find z in the Z-table as such z has a p-value of .

That is z with a pvalue of , so Z = 2.327.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

Variance is 5.76 kWh

This means that [tex]\sigma = \sqrt{5.76} = 2.4[/tex]

They would like the estimate to have a maximum error of 0.09 kWh. How large of a sample is required to estimate the mean usage of electricity?

This is n for which M = 0.09. So

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

[tex]0.09 = 2.327\frac{2.4}{\sqrt{n}}[/tex]

[tex]0.09\sqrt{n} = 2.327*2.4[/tex]

[tex]\sqrt{n} = \frac{2.327*2.4}{0.09}[/tex]

[tex](\sqrt{n})^2 = (\frac{2.327*2.4}{0.09})^2[/tex]

[tex]n = 3850.6[/tex]

Rounding up:

A sample of 3851 is required.

Answer:

y - 1

Step-by-step explanation:

y^2 - y / y

Cancel out the numerator with the denominator, so cancel out the y's to get:

y - 1

Remember that there is a "hidden" 1 in front of the y. Meaning that it is "-1."

Answer:

variability

Step-by-step explanation:

The probability would be 1/52, since there are only 1 two of diamonds in all 52 cards.

Final answer. 1/52  or 1.92%

Answer:

13/52

Step-by-step explanation:

a standard 52-card deck has 13 diamond cards (1,2,3,4,5,6,7,8,9,10,J,Q,K)

P(diamond) = number of diamonds/number of cards in a deck = 13/52

Answer:

11/10 is 1 1/10

Step-by-step explanation:

Hence the maximum possible area is 2500 square meters

Given the area of the rectangular garden expressed as;

[tex]A(x)=-x^2+100x\\[/tex]

The maximum area occurs when dA(x)/dx = 0

[tex]\frac{dA(x)}{dx} = -2x + 100\\0= -2x + 100\\ 2x = 100\\x = \frac{100}{2}\\x = 50[/tex]

Next is to get the maximum area possible. Substitute x = 50 into the original function as shown;

[tex]A(50)= -50^2 + 100(50)\\A(50) = -2500+5000\\A(50) = 2500[/tex]

Hence the maximum possible area is 2500 square meters

Learn more here: https://brainly.com/question/17134596

2500 square meters

This question was on Khan Academy and I got it correct

Answer:

9(x-5)

Step-by-step explanation:

- First multiply 6 and 4

-Then subtract by 12

-Add 3

-Leave the variable and number that are in paranthese

Answer:

i think its 7b^2+4c^2 ?

Step-by-step explana

Answer:

6/5 n = a

Step-by-step explanation:

n = 5/6a

Multiply each side by 6/5

6/5 n = 6/5 * 5/6a

6/5 n = a

Answer:

C: w > y

D: w > x

E: x + y = w

Answer:

the green area stands for the safe operation space

Step-by-step explanation:

u say b×h meaning say 80degrees ×9cm which is 720..

Answer:

122.5

Step-by-step explanation:

Use the area formula for a trapezoid (attached below as an image):

A = area in sq cm

a = top base

b = bottom base

h = height

Correspond the correct values with the variables:

a = 14

b = 21

h = 7

A = 1/2 * (14 + 21) * 7

A = 1/2*(35)*7

A = 17.5 * 7

A = 122.5 sq cm

Hope this helps (●'◡'●)

Answer:

B.) P(A/B) = P(A)

Step-by-step explanation:

If two events, A and B are independent:

We have that:

[tex]P(A \cap B) = P(A)P(B)[/tex]

Conditional Probability

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

Since they are independent:

[tex]P(A \cap B) = P(A)P(B)[/tex]

Then

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{P(A)P(B)}{P(A)} = P(B)[/tex]

So

[tex]P(B|A) = P(B)[/tex], or either:

[tex]P(A|B) = P(A)[/tex], and thus, the correct answer is given by option B.

Answer:

Yes, the game is fair because Christopher and Janet have an equal probability of winning.

Step-by-step explanation: Christopher - Red marble=8

Janet - blue + green= 5+3= 8

Answer:

63% of all undergraduates receive at least one grant or scholarship.

Step-by-step explanation:

Scholarships and grants, which covered 31% of cost, and parent income and savings, which covered 30%, are the top two sources of funding. The share of cost paid from other resources are 14% from student borrowing, 13% from student income and savings, 10% from parent borrowing, and 2% from friends and family.

Answer:

C

Step-by-step explanation:

g(-x) = x+4, h(g(-x))=h(x+4)=(x+4)^2+3(x+4)=x^2+11x+28

Answer:

110592 in³

Step-by-step explanation:

Since baggage should take the shape of a box; with the sum of it's dimension not exceeding 144 ;

Dimensions of a box : length, width, height

If ; l + w + h = 144

Greatest volume is obtained when the dimension is equal : such that l = w = h

Hence, each dimension becomes ; 144 / 3 = 48 in

Volume of box = length * width * height

Volume = 48 * 48 * 48

Volume = 48³ = 110592

Answer:

D 40 and 50

Step-by-step explanation:

Complimentary angles are equal to 90

Answer: D, 40 and 50

Steps:

1. Since complementary angles equal 90 degrees, 4r + 5r = 90

2. 4r + 5r is 9r

3. This makes the equation, 9r=90

4. Divide both sides by 9, and then you get r=10

5. Substitute r=10 into 4r and 5r

6. This should make 4(10) and 5(10)

7. Multiply and then get 40 and 50

Answer:

C

Step-by-step explanation:

The graph has asymptotes at x = 2 and x = -1 corresponding to the denominator of option C.

Answer: $40 / $80

Step-by-step explanation: 40$ if it's $8 for BOTH per hour, or if it's $8 for ONE per hour it's $80

Answer:

[tex]d=-18[/tex]

Step-by-step explanation:

The only way we can achieve an extraneous solution is by squaring both sides. Example:

[tex]\sqrt{-1}=x, \\\sqrt{-1}^2=x^2,\\1=x^2,\\x=1\text{ [extraneous]}[/tex]

Square both sides of the equation:

[tex]\sqrt{\frac{1}{2}y-1}^2=(\frac{3}{4}y+d)^2[/tex]

Substitute [tex]y=20[/tex]:

[tex]9=(15+d)^2[/tex]

Expand the right side using [tex](a+b)^2=a^2+2ab+b^2[/tex]:

[tex]9=15^2+2(15)(x)+x^2,\\x^2+30x+225=9[/tex]

Subtract 9 from both sides:

[tex]x^2+30x+216=0[/tex]

Factor:

[tex](x+12)(x+18)=0,\\\begin{cases}x+12=0, x=\boxed{-12},\\x+18=0,x=\boxed{-18}\end{cases}[/tex]

Substitute both solutions to see which work:

[tex]\sqrt{\frac{1}{2}(20)-1}=(\frac{3}{4}(20)+d), \\\\d=-12\checkmark\\d=-18\times[/tex]

The solution [tex]d=-18[/tex] yields [tex]3=-3[/tex] which does not work and therefore is extraneous.