Write an equation in slope-intercept form of the line that satisfies the given conditions.
Slope 5; y-intercept (0,-9)

Answer:

Step-by-step explanation:

[tex](-3,-3) =(x_1,y_1)\\ (-6,1)=(x_2,y_2)\\\\d = \sqrt{(x_2-x_1)^2 +(y_2-y_1)^2}\\ \\d = \sqrt{(-6-(-3))^2+(1-(-3))^2}\\ \\d = \sqrt{(-6+3)^2+(1+3)^2}\\ \\d = \sqrt{(-3)^2 +(4)^2}\\ \\d = \sqrt{9+16}\\ \\d = \sqrt{25}\\ \\d =5[/tex]

Answer:

∠ AOB = 17.5°

Step-by-step explanation:

∠ AOB + 110 + ∠ COD = 180 ( sum of angles in straight line )

[tex]\frac{1}{3}[/tex] ∠ COD + 110 + ∠ COD = 180 ( subtract 110 from both sides )

[tex]\frac{4}{3}[/tex] ∠ COD = 70 ( multiply both sides by 3 to clear the fraction )

4 ∠ COD = 210 ( divide both sides by 4 )

∠ COD = 52.5°

Thus

∠ AOB = [tex]\frac{1}{3}[/tex] × 52.5° = 17.5°

You would need to include the center of rotation. For many problems, the center is usually the origin (0,0). This is a default assumed center. Though the center could easily be any other point.

In addition, you also need the amount of rotation that is being applied (eg: 90 degrees).

The last bit of info you need is whether you're going clockwise or counterclockwise. For 180 degree rotations, it doesn't matter, but for everything else it does matter.

Answer:

B. $840

Step-by-step explanation:

Given that

Rate of simple interest = 3.5%

Principal amount = $12,000

Time = 2 year

To find:

Interest earned = ?

Solution:

Formula for Simple Interest is given as:

[tex]S.I. = \dfrac{PRT}{100}[/tex]

Where P is the principal amount

R is the annual Rate of interest

T is the time for which principal was invested.

Here, we are given that:

P = $12,000

R = 3.5%

T = 2 years

Putting all the values in the formula:

[tex]SI= \dfrac{12000\times 3.5 \times 2}{100}\\\Rightarrow SI= 12\times 35 \times 2\\\Rightarrow SI = \$840[/tex]

So, answer is:

B. $840

Answer:

A = 1/2bh

Step-by-step explanation:

The formula for an area of a triangle is always going to be one-half of the base times the height.

Answer/Step-by-step explanation:

In mathematics, there's an order to follow in solving calculations like the problems given above. The acronym, PEDMAS illustrates or makes us remember which order to follow. The acronym stands for:

P - Parenthesis. Given any problem to solve, first, solve any operation within a parenthesis. That is, expressions that are grouped together.

E - Exponents. Next in line of priority order is to solve expressions involving exponents.

D - Division

M - Multiplication

A - Addition, and

S - Subtraction.

Now, solve each expression given in the correct order of operation using PEDMAS:

10 - 3³ ÷ 9

10 - 27 ÷ 9

10 - 3

= 7 (the order of operation is EDS = Exponent, Division, and lastly, Subtraction)

7² ÷ (4 + 3)

7² ÷ 7

49 ÷ 7

= 7 (order of operation = PED)

7 × 5 - 2²

7 × 5 - 4

35 - 4

= 31 (EMS)

(6 + 2²) × 10

(6 + 4) × 10

10 × 10

= 100 (PM)

3 × 6 + 8²

3 × 6 + 64

18 + 64

= 82 (EMA)

4³ - 10 ÷ 5

64 - 10 ÷ 5

64 - 2

= 32 (EDS)

3² × 2 - 9

9 × 2 - 9

18 - 9

= 9 (EMS)

9 × 3² - 8

9 × 9 - 8

81 - 8

= 73 (EMS)

6² ÷ 3 - 5

36 ÷ 3 - 5

12 - 5

= 7 (EDS)

(9 - 5)² ÷ 4

(4)² ÷ 4

16 ÷ 4

= 4 (PED)

Answer:

x+14.

Step-by-step explanation:

Sum of a number and 14 is x+14.

Answer:

- False

- True

- false

Step-by-step explanation:

- The variable that changes is the price

- 30 is the slope and 6 is the y-int

- 30(.75) + 6 = 28.5

Answer:

Below.

Step-by-step explanation:

The initial factors do not affect the prime factorisation.

Continuing the factorisation will lead to the same result whichever initial factors you choose.

    48  

 4   *   12

2*2  *  2*2*3

= 2*2*2*2*3

      48

  6  *    8

2*3  *  2*2*2

= 2*2*2*2*3.

Answer:

A prime factorization is the product of the prime numbers that multiply to give the original number. 48 will have a prime factorization of 2(2)(2)(2)(3), or 24(3), regardless of the initial factors.

Step-by-step explanation:

It is correct!

3x +5 = 2x +15

Subtract 5 from both sides:

3x = 2x + 10

Subtract 2x from both sides:

X = 10

Answer:

The answer is x=10.

3x-2x=15-5.

x=10.

Answer:

Area= 247 feet²

Volume= 1235 feet³

Step-by-step explanation:

A storage pod has a rectangular floor that measures 19 feet by 13 feet and a flat ceiling that is 5 feet above the floor.

Area of the floor= length*width

Length= 19 feet

Width= 13 feet

Area= 19*13

Area= 247 feet²

Volume of the pod= area*height

Height of the pod= 5 feet

Area= 247 feet²

volume= 247*5

Volume= 1235 feet³

Answer:

  a[n] = a[n-1] +(3n +2)

Step-by-step explanation:

The difference between Day 1 and Day 2 is 9 - 1 = 8 cells. The difference between a2 and a1 in each of the answer choices is a2 -a1 = ...

  3n = 3(2) = 6 ≠ 8

  n+2 = 2+2 = 4 ≠ 8

  3(n+2) = 3(2+2) = 12 ≠ 8

  3n +2 = 3(2) +2 = 8 . . . . . . this is the appropriate choice:

  [tex]\boxed{a_n=a_{n-1}+(3n+2)}[/tex]

Answer:

[tex]x=-4[/tex]

Step-by-step explanation:

So we have the equation:

[tex]3(2x+2)=18+4(x-5)[/tex]

Distribute the left and the right:

[tex]3(2x)+3(2)=18+4(x)+4(-5)[/tex]

Simplify:

[tex]6x+6=18+4x-20[/tex]

Combine on the right:

[tex]6x+6=4x-2[/tex]

Subtract 4x from both sides. The right cancels:  

[tex](6x+6)-4x=(4x-2)-4x\\2x+6=-2[/tex]

Subtract 6 from both sides. The left cancels:

[tex](2x+6)-6=(-2)-6\\2x=-8[/tex]

Divide both sides by 2:

[tex](2x)/2=(-8)/2\\x=-4[/tex]

Thus, the value of x is -4.

Answer:

x = -4

Step-by-step explanation:

3(2x + 2)=18 + 4(x - 5)

6x + 6= 18 +4x - 20

6x - 4x = -2-6

2x = -8

x = -4

Answer:

87.648

Step-by-step explanation:

It may be hard to multiply decimals. However, if you can break the decimal up into two separate equations, it can make it easier. Solving 73.04 x 1.2 is the same as solving (73.04 x 1) + (73.04 x 0.2). You already can say that 73.04 x 1 is 73.04. And then you can solve 73.04 x 0.2. Solving 73.04 x 0.2 is the same as solving 73.04 divided by 5, which will get you 14.608. Finally, all you have to do is add the two sums (73.04 + 14.608) which will get you your answer of 87.648.

Answer:

5

Step-by-step explanation:

a polynomial has one quadratic factor and 3 linear factors. One of the linear factors has multiplicity two. What is the degree of the polynomial

A polynomial with one quadratic obtains the forms ( ax² +bx +c ) with 3 linear factors.

Suppose the three linear fractions are :

(x- P) (x-Q) (x- R)

∴

The polynomial = ( ax² +bx +c )(x- P) (x-Q) (x- R)

By factorization, the highest degree of the polynomial = 5

Answer:

small: 40:15    large: 120:45    all: 160:60

Step-by-step explanation:

the way i did this was

40÷8=5 i did this because we now need to multiply 5×3=15 because thats how we get the number of trash cans.

now do the same thing for the other one

120÷8=15 → 15×3=45

an easy way to check ur answers is to divide the ratio that is given to you (8:3 so 8÷3) and see if it gets the same number as ur new ratio (40:15 so 40÷15)

Im in 8th grade and I hoped this helped :)

Answer:

$20

Step-by-step explanation:

Please mark me as brainliest

Answer:

Elena's retirement party will cost $20 if she invites 10 guests.

Step-by-step explanation:

We know this because the problem tells us that the party will cost $16 if she invites 8 guests, which means that every guest costs $2 and if we multiply 2 and 10 we get 20.

Answer:

My friend Cody can eat a sandwich swiftlier  than any human or animal I have ever seen.

Answer:

The answer is 1 1/9 ft

Step-by-step explanation:

Multiply 5/3 x 2/3 x 1

Answer:

  -6, -1, 4, 9

Step-by-step explanation:

You can substitute the values and do the arithmetic:

  f(-1) = 5(-1) -1 = -5 -1 = -6

Or, you can recognize that the output values will increase by 5 for each increase of 1 in the input value.

  f(0) = -6 +5 = -1

  f(1) = -1 +5 = 4

  f(2) = 4 +5 = 9

The (input, output) pairs are ...

  (-1, -6), (0, -1), (1, 4), (2, 9)

Answer:

≈0.76

Step-by-step explanation:

P(A) = 0.33

P(A and B) = 0.25

P(B) = ?

-------------

Probability of two events happening is the product of individual probabilities

Then to find the probability of one of the events:

Answer:

D

Step-by-step explanation:

So, let's say that we have the following equation:

[tex]x^2+bx=0[/tex]

And we want to complete the square.

What we need to do is to divide the coefficient of x by half. Square that. Then add that number to both sides.

The answer that reflects this is choice D.

For instance if we have:

[tex]x^2+4x=0[/tex]

Divide 4 by 2 and then square it.

4/2 is 2. 2²=4. Add 4 to both sides. Thus:  

[tex](x^2+4x)+4=0+4[/tex]

And now, we can complete the square:

[tex](x+2)^2=4[/tex]

Answer:

let, one number be x

then, other number be x-3

X+X-3=15

or, 2X=15+3

or,2X=18

or,X=18÷2

or,X=9

one number =9

then another number=X-3=9-3=6

The system of equations with two numbers x ad y are,

⇒ [tex]x + y = 15[/tex]

⇒ [tex]x = y - 3[/tex]

Given that,

The sum of two numbers is fifteen.

And, One number is three less than the other.

Let us assume that,

Two variables for the numbers in the system of equations are x and y.

Hence, we can write the system of equations as,

The sum of two numbers is fifteen.

⇒ [tex]x + y = 15[/tex]

And, One number is three less than the other.

⇒ [tex]x = y - 3[/tex]

So, the system of equations is,

⇒ [tex]x + y = 15[/tex]

⇒ [tex]x = y - 3[/tex]

Learn more about systems of equations at:

brainly.com/question/14323743

#SPJ4

Answer:

∠4 and ∠3

∠4 and ∠5

∠3 and ∠6

Step-by-step explanation:

A pair of angles is said to be supplementary when the 2 angles add up to give 180°.

Two right angles add up to give 180°. Also, if we have two angles on a straight line, their sum = 180°, according to the linear pair property.

Thus, since m< 3 is given as 90°, m<4 = 90°.

m<4 + m<3 = 180°.

Therefore, <4 and <3 are supplementary.

<4 and <5, <3 and <6 are both linear pairs, therefore they are also supplementary.

Answer:

Step-by-step explanation:

h(2)= 2

g(2)= 3(2) + 2 = 6 + 2 = 8

f(8)= 2(8) - 1 = 16 - 1 = 15

Answer:

27

Step-by-step explanation:

Set up the composite result function.

F(G(H(x)))

Evaluate F(G(H(x))) by substituting in the value of H into G.

Multiply 3 by x^2

F(G(x2))=F(3x2+2)

Evaluate F(G(x)) by substituting in the value of G into F

F(3x2+2)=2(3x2+2)-1

Simplify each term.

Apply the distributive property.

F(3x2+2)=2(3x2)+2⋅2-1

Multiply 3 by 2

F(3x2+2)=6x2+2⋅2-1

Multiply 2 by 2

F(3x2+2)=6x2+4-1

Subtract 1 from 4

F(3x2+2)=6x2+3

Evaluate the result function by replacing x with 2 in the function.

6(2)2+3

Simplify the evaluated function.

Simplify each term.

Raise 2 to the power of 2

6⋅4+3

Multiply 6 by 4

24+3

27

Answer:

$240

Step-by-step explanation:

If she earns 60% commission, that means she only earns 60% of all sales. So if you take that 60% or (.60) you can multiply that 400 by .60, that equates to 240.

Answer:

y = 39

Step-by-step explanation:

|y−43|−|y−35| =0

add |y−35| to each side

|y−43|= |y−35|

This tells us that y must be between 35 and 43

That means |y−35| is positive so we can remove the absolute value signs

|y−43|  is negative so we negate each term ( or multiply by -1)

-y+43 = y - 35

Add y to each side

y-y+43 = y+y-35

43 = 2y -35

Add 35 to each side

43+35 = 2y

78 = 2y

Divide by 2

78/2 = 2y/2

39 = y

Answer:

Step-by-step explanation: