Jamal drew angle bisector AD with D on the line segment BC. If BD=3, DC=9 and AB+AC=28 find AB and AC.

Answer:

I think it’s D

Step-by-step explanation:

Answer:300

Step-by-step explanation:

25*8 =200

500-200=300

Answer:

$300

Step-by-step explanation:

25 a week for 8 weeks is a total of 25*8 or 200 so he spent $200

500 - 200 is 300 so he has $300 left

Answer:

-1/2 is m and 3 is b

Step-by-step explanation:

-1/2 is the slope and 3 is the y-intercept,

Answer:

Step-by-step explanation:

The slope m is -1/2

The y-int b is 3

Since the slope is negative the graph should start from the top left and should go down all the way down to the bottom right. The line should also pass the point (0,3) since 3 is the y-int

Answer:

b = 6

Step-by-step explanation:

this is because you have to multiply by 3 on both sides then add 9 on both sides. then you get 6

Answer:

.

Step-by-step explanation:

Answer: B 35/4

Step-by-step explanation:

Answer:

copper and illuminum

Step-by-step explanation:

i got it right on the test

Complete question :

Grandma gave 13 pieces of jewelry and grandma fien gave y pieces to the sister to divide evenly among them selves.There are 5 sister. How many pieces of jewelry does each sister get

Answer:

(13 + y) / 5

Step-by-step explanation:

Given that :

Number of jewelries Given by grandma = 13

Number of jewelries Given by grandma fien = y

Total number of jeweleries Given = (13 + y)

Number of people among which the jeweleries is to be divided = 5

Hence, since the distribution is to be even, then, each sister gets :

Total jeweleries / number of sisters

(13 + y) / 5

Answer:

hi

Step-by-step explanation:

I'm anmol kulkar from India thanks for free points by

Answer:

The correct answer is B,

3/4.

Step-by-step explanation:

choices A and D, you may have incorrectly formed your answer out of the coefficients in the point (2p,5r). If you picked Choice C, you may have confused r and p.

y=2x+b gives:

5r=2(2p)+b

5r=4p+b

b = 5r−4p.

Next, we can set the two equations equal to b equal to each other and simplify:

b=r−p=5r−4p

3p=4r

Finally, to find

r/p

divide both sides of the equation by p and by 4:

3p=4r

3=4r/p

3/4=r/p

Answer:

Step-by-step explanation:

7x - 2(7x - 9) = 2(-6x + 4)                      Remove the brackets on both sides.

7x - 14x + 18 = -12x + 8                         Combine like terms

-7x + 18 = -12x + 8                                Add 12x to both sides

-7x+12x + 18 = 8                                   Combine like terms on the left

5x + 18 = 8                                           Subtract 18 from both sides

5x = 8 - 18

5x = -10                                                Divide by 5

x = - 10/5

x = - 2                                                                                                                                                                                                                                                     Proof

LHS

7*-2 -2(7*-2 - 9)                                                                                                      -14 - 2*(-14 - 9)                                      

-14 -2 (-23)

-14 + 46

32

RHS

2(-6*-2 + 4)

2(12 + 4)

32

Answer:

B

Step-by-step explanation:

The angle at the centre is equal to the arc that subtends it , thus

∠ ABC = arc AB = 75° → B

Answer:

B

Step-by-step explanation:

i did the test

Answer:

5: 15

10: 30

15: 45

20: 60

answer: ? = 60

Step-by-step explanation:

Step-by-step explanation:

5-1+0.85= -0.666x

4.85/-0.666= -0.666/-0.666x

x= -5.6

QUESTION:

Simplify each expression

ANSWER:

1.) [tex]\green{{- 8n}}[/tex]

2.) [tex]\green{{- 2b - 60}}[/tex]

3.) [tex]\green{{- 10x - 14}}[/tex]

4.) for number 4 study my step-by-step explanation so you can answer that

STEP-BY-STEP EXPLANATION:

1.) First, If the term doesn't have a coefficients, it is considered that the coefficients is 1

WHY?

Learn why:

Why is it considered that the coefficient is 1?

Remember that any term multiplied by [tex]\blue{{1}}[/tex] remains the same :

[tex]\blue{{1}}[/tex] [tex]{× x = x}[/tex]

Step 1:

The equality can be read in the other way as a well, so any term can be written as a product of [tex]\blue{{1}}[/tex] and itself:

[tex]{x = }[/tex] [tex]\blue{{1}}[/tex] [tex]{× x}[/tex]

Step 2:

Usually, we don't need to write multiplacation sign between the coefficient and variable, so the simple form is:

[tex]{x = 1x}[/tex]

This is why we can write the term without the coefficient as a term with coefficient [tex]{1}[/tex]

Now let's go back to solving as what i said if a term doesn't have a coefficient, it is considered that the coefficient is 1

[tex]{n - 9n}[/tex]

[tex]\red{{1}}[/tex] [tex]{n -9n}[/tex]

Second, Collect like terms by subtracting their coefficients

[tex]\red{{1n - 9n}}[/tex]

[tex]\red{{( 1 - 9)n}}[/tex]

Third, Calculate the difference

how?

Keep the sign of the number with the larger absolute value and subtract the smaller absolute value from larger

[tex]\red{{1 - 9}}[/tex]

[tex]\red{{- (9 - 1)}}[/tex]

Subtract the numbers

- ([tex]\red{{9 - 1}}[/tex])n

- [tex]\red{{8}}[/tex]n

[tex]\green{\boxed{- 8n}}[/tex]

2.) First, Distribute - 6 through the parentheses

how?

Multiply each term in the parentheses by - 6

[tex]\red{{- 6(b + 10)}}[/tex]

[tex]\red{{- 6b - 6 × 10}}[/tex]

Multiply the numbers

- [tex]{6b}[/tex] - [tex]\red{{6 × 10}}[/tex]

- [tex]{6b}[/tex] - [tex]\red{{60}}[/tex]

Second, Collect like term

how?

Collect like terms by calculating the sum or difference of their coefficient

[tex]\red{{- 6b + 4b}}[/tex]

[tex]\red{{(- 6 + 4)b}}[/tex]

Calculate the sum

[tex]\red{{(- 6 + 4)}}[/tex]b

[tex]\red{{-2}}[/tex]b

[tex]\green{\boxed{- 2b - 60}}[/tex]

3.) First, Distribute 2 through parentheses

how?

Multiply each term in the parentheses by 2

[tex]\red{{2(x - 5)}}[/tex]

[tex]\red{{2x - 2 × 5}}[/tex]

Multiply the numbers

[tex]{2x -}[/tex] [tex]\red{{2 × 5}}[/tex]

[tex]{2x -}[/tex] [tex]\red{{10}}[/tex]

Second, Distribute - 4 through the parentheses

how?

Multiply each term in the parentheses by - 4

[tex]\red{{- 4(3x + 1)}}[/tex]

[tex]\red{{- 4 × 3x - 4}}[/tex]

Calculate the product

- [tex]\red{{4 × 3}}[/tex]x - 4

- [tex]\red{{12}}[/tex]x - 4

Third, Collect like terms

how?

Collect like terms by subtracting their coefficient

[tex]\red{{2x - 12x}}[/tex]

[tex]\red{{(2 - 12)x}}[/tex]

Calculate the difference

[tex]\red{{(2 - 12)}}[/tex]x

[tex]\red{{- 10}}[/tex]x

Fourth, Calculate the difference

how?

Factor out the negative sign from the expression

[tex]\red{{- 10 - 4}}[/tex]

[tex]\red{{- (10 + 4)}}[/tex]

Add the numbers

- ([tex]\red{{10 + 4}}[/tex])

- [tex]\red{{14}}[/tex]

[tex]\green{\boxed{- 10x - 14}}[/tex]

That's all I know sorry but I hope it helps :)

Answer:

16.65

Step-by-step explanation:

37 * 0.45 = 16.65

Answer:

is it 16.65????

Step-by-step explanation:

lol i took the testtt

Answer:

The answer is c and b

Step-by-step explanation:

I took the test

Options B, C and D are correct.

We have Holly and her penny collection.

We have to select the correct alternatives from the given.

1 + nx = 40

nx = 39

n = 39/x

According to the question-

Initial Amount in piggy bank = 1 penny.

Now -

She adds -

2 Pennies on Day 1.

4 Pennies on Day 2.

8 Pennies on Day 3.

Therefore, the following sequence represents her collection -

1, 2, 4, 8 .....

It can be seen that each day corresponds to a unique amount of pennies in this sequence.

Now -

Vertical line test → to satisfy this test the graph should not have two or more points going through a vertical line.

Horizontal Line test → to clear this test the graph should not have two or more points going through a Horizontal line.

If we plot the graph of this function - Refer to image attached. It can be seen that the graph of this sequence passes horizontal line and vertical line test.

Hence, Options B, C and D are correct.

To solve more questions on Coulomb's law, visit the link below-

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Answer:

The stack of blocks is 25.96 inches tall

Step-by-step explanation:

Volume of a Cube

Suppose we are given a cube of side L, the volume is calculated by:

[tex]V=L^3[/tex]

If the volume is given, the side can be found by solving for L:

[tex]L=\sqrt[3]{L}[/tex]

We know three cube-shaped blocks with volumes 375, 648, and 1029 cube inches. We'll find each of the side lengths and add them up to find the height that results when they stack up vertically.

Block 1, volume =375 cube inches:

[tex]L_1=\sqrt[3]{375}=7.21\ inch[/tex]

Block 2, volume= 648 cube inches:

[tex]L_2=\sqrt[3]{648}=8.65\ inch[/tex]

Block 3, volume =1029 cube inches:

[tex]L_3=\sqrt[3]{1029}=10.10\ inch[/tex]

Total height=[tex]7.21\ inch+8.65\ inch+10.10\ inch=25.96\ inch[/tex]

The stack of blocks is 25.96 inches tall

Answer:

(3a+4)(9a^2-12a+16)

Step-by-step explanation:

It's a perfect square :)

The factors of the given polynomial are (4+3a)(9a²-12a+16)

A polynomial is defined as an expression which is composed of variables, constants and exponents, that are combined using mathematical operations.

Given that, a polynomial, 64+27a³

Using identity : a³+b³ = (a+b)(a²-ab+b²)

We get,

= (4+3b)(4²-4x3a+(3a)²)

= (4+3a)(16-12a+9a²)

Hence, the factors of the given polynomial are (4+3a)(9a²-12a+16)

For more references on polynomials, click;

https://brainly.com/question/11536910

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Answer: 144.84

Step-by-step explanation:

Answer:

the answers are bolded below!

Step-by-step explanation:

1. y-y1=m(x-x1)

line one- 14-4/6-1 = 10/5 = 2

so....     y-1=2(x-4)

simplified     y=2x-7

line two- -2-23/1-6 = -25/5 = -5

so.....      y-6=-5(x-23)

simplified         y=-5x+121

b- they will intersect 1 time at (18.2,29.5)

2. No, it the system has infinitely many solutions, then the lines would be on top of each other. But since there are only two solutions, then your answer would not be infinitely many solutions.

3. y=-2x+1. This would not intersect with y=-2x+3 because they are parallel. the slopes are the same so they will each travel at the same rate but they have different y intercepts.

4. y=-2x+7 ------> x=-1/2y-7/2

y=-3(-1/2y+7/2)+8  -----> y=5

y=-2x+7 --->   5=-2x+7  ----> x=1

one solution at (1,5) because f graphed, the lines would only intersect once.

b- x=5

3x-y=5   --->   3(5)-y=5   --->   y=10

one solution at (5,10) because f graphed, the lines would only intersect once.

c- no solutions because if it were to be graphed, the lines would not intersect at all.

d- no solutions because if it were to be graphed, the lines would not intersect at all.

e- no solutions because if it were to be graphed, the lines would not intersect at all.

i am in algebra two so you can trust my answer. If you need more help lmk in the comments. Happy holidays and stay safe!

Answer: t=3.75

Step-by-step explanation:45=6t×2

6t=22.5

t=3.75

The object will take 3 seconds to fall 54 feet on Mercury according to the given function f(t) = 6t².

A certain kind of relationship called a function binds inputs to essentially one output.

A function can be regarded as a computer, which is helpful.

Given the function,

f(t) = 6t² where t is time in seconds while f(t) is the distance in feet.

At f(t) = 54 feet

6t² = 54

t² = 54/6 = 9

t = 3 seconds

Hence "The object will take 3 seconds to fall 54 feet on Mercury according to the given function f(t) = 6t²".

For more about the function,

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Answer:

The missing value in the ordered pair is 66

Step-by-step explanation:

Given that:

(12,10) and (-2,r)

Slope = m = -4

We have to find the value of r so that the line has a slope of -4.

Slope is the steepness of line which is denoted by m.

Here,

[tex]x_1=12, y_1=10\\x_2=-2, y_2=r[/tex]

Putting the values in slope of line formula,

[tex]-4=\frac{r-10}{-2-12}\\ -4=\frac{10-r}{-14}\\[/tex]

Multiplying both sides by -14

[tex]-4*-14=\frac{r-10}{-14}*-14\\56=r-10\\56+10=r\\66=r\\ r=66[/tex]

The value of r is 66

Hence,

The missing value in the ordered pair is 66

Answer:

The equivalent expression is cosec2x

option B

Step-by-step explanation:

The correct question is ;

which expression is equivalent to sec2xcot2x?

Solution

Mathematically;

sec2x = 1/cos2x

cot2x = 1/tan2x

so we have

1/cos2x * 1/tan2x

recall that the product of tan and cos is sin

from the formula;

tan = sin/cos

so we have our final answer as;

1/sin2x

Kindly recall that ;

sin = 1/cosec

so therefore;

1/sin2x = csc2x

Given:

Dividend = [tex]3x^3-3x^2-4x+3[/tex]

Divisor = [tex]x+3[/tex]

To find:

The quotient and remainder.

Solution:

On dividing [tex]3x^3-3x^2-4x+3[/tex] by  [tex]x+3[/tex], we get

[tex]x+3\ |\overline{3x^3-3x^2-4x+3} |\ 3x^2-12x+32[/tex]

         [tex]3x^3+9x^2[/tex]

    [tex]\underline{(-)\quad (-)\quad \quad \quad \quad \quad }[/tex]

                [tex]-12x^2-4x+3[/tex]

                [tex]-12x^2-36x[/tex]

               [tex]\underline{(+)\quad (+)\quad \quad \quad }[/tex]

                             [tex]32x+3[/tex]

                            [tex]32x+96[/tex]

                        [tex]\underline{(-)\quad (-)\quad }[/tex]

                               [tex]\underline{\quad -93\quad }[/tex]

Here,

Quotient = [tex]3x^2-12x+32[/tex]

Remainder = [tex]-93[/tex]

Therefore, the correct option is D.

Answer:

k = 4

Step-by-step explanation:

The formula for binomial probability distribution is;

P(X = k) = C(n, k) × p^(k) × (1 - p)^(n - k)

Where C(n, k) is the number of possible ways that n number of people choose k.

While p is probability of success

In this question, 20 children want to choose from 4 toys namely tricycle, blocks, a train set, and puzzles.

This means that from binomial probability distribution formula, n = 20 and k = 4.

Answer:

5 Remainder 2

Answer:

The answer is 5 remainder 2

Step-by-step explanation: