Write the equation of the line that has a slope of -3/2 and passes through (4, -3)

Answer:Find out the expressions for the number of sweets sue and tony have now .

To proof

As given

Sue has 18 sweets. tony has 18 sweets.sue gives tony x sweets

thus

sue sweets = 18 - x

Tony sweets = 18 + x

As given

Sue then eats 5 sweets. Tony then eats half of his sweets

sue sweets becomes = 18 -5 -x

                                   = 13 - x

Hence proved

Step-by-step explanation:

Answer:

L = a √( 4 + 2√2)

Step-by-step explanation:

L = a √( 4 + 2√2) is the equation which can be used to calculate the length of each side of the octagon. In the equation i.e. L = a √( 4 + 2√2), in which ''a'' is the length of each side of the octagon. So by putting of ''a'' we get the length of each side of the octagon. The octagon is regular means all of its sides and angles are congruent or similar to each other. Each angle in the octagon has a measure of 135 degrees.

Answer:

Step-by-step explanation:

h and p are the number of history and psych textbooks, respectively.

store sold a total of 411 textbooks in a week.

h + p = 411

The number of history textbooks sold was 69 less than the number of psychology textbooks sold.

h = p - 69

Substitution

(p-69) + p = 411

2p = 411+69

p = 240

h = p-69 = 171

171 history books and 250 psych books

Answer:

Vertical

Step-by-step explanation:

Hope it helps you in your learning process

the following could define the function g: 20. (2.5)ˣ = g(x)

correct option: B

Exactly one element of Y is assigned to each element of X in a mathematical function from a set X to a set Y. Both the set X and the set Y are referred to as the function's domain and co-domain, respectively. The basic conception of functions was the relationship between fluctuating quantities and other variables.

h(x) = 20. 4ˣ    (0, 20)

here, g(x) passes through the point (0, 20)

thus, g(x) = 20. aˣ

when x > 0, f(x) < g(x) < h(x)

hence a < 4

so, 20. (2.5)ˣ - 10. 2ˣ > 0

or, 20. (2.5)ˣ = g(x)

correct option: B

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Answer:

Hello there :)

to find your cordinates simply set everything according to 0 and solve the equation with -b +- square rooted by b ac over b (im sorry i forgot what this equation is called). using +, that is your x point, and solving for - that is your y point.

Step-by-step explanation:

Hope this helps you!

Have a terrific week :)

Answer: Thanks!!                            

Step-by-step explanation:

Answer:

the vertex is (-7, -63)

Step-by-step explanation:

x^2 + 14x - y - 14 = 0

x^2 + 14x = y + 14 (to isolate the x)

x^2 + 14x + 49 = y + 14 + 49

(x+7)^2 = y + 63

now we convert to vertex form, which is y = a(x – h)2 + k :

(x+7)^2 = y + 63

y = (x+7)^2 - 63

The vertex in vertex form is shown as (h, k) from y = a(x – h)2 + k, so in this case, h = -7 and k = -63. H is the x-coordinate as shown while k is the y-coordinate. Thus, the vertex is (-7, -63)

Answer:

[tex]{x}^{2} (x + 3) - 4(x + 3) divided by x + 3[/tex]

Second step

[tex](x {}^{2} - 4)(x + 3) \div (x + 3)[/tex]

The (x+3) brackets cancel each other

Final answer is

[tex]x {}^{2} - 4[/tex]

Answer:

60°

Step-by-step explanation:

if you look on a unit circle the coordinates correspond to (cos, sin) so at 60° they are (1/2, √3/2)

Answer:

The volume of prism A is the same as the volume of prism B.

Step-by-step explanation:

Given

See attachment for prisms

Required

Compare the volume of both

First, we calculate the volume of both prisms.

Prism A is a rectangular prism.

So, its volume is:

[tex]V_A = Length * Base * Height[/tex]

Where

[tex]Length \to a[/tex]

[tex]Base \to b[/tex]

[tex]Height \to h[/tex]

So:

[tex]V_A = abh[/tex]

For Prism B, we have:

[tex]Volume = Base\ Area * Height[/tex]

Where

[tex]Base\ Area = Length * Base[/tex]

and

[tex]Length = a[/tex]

[tex]Base = b[/tex]

So:

[tex]Base\ Area = a * b[/tex]

[tex]Base\ Area = a b[/tex]

The volume is then calculated as:

[tex]Volume = Base\ Area * Height[/tex]

[tex]V_B = ab * Height[/tex]

Where

[tex]Height \to h[/tex]

So:

[tex]V_B = ab * h[/tex]

[tex]V_B = abh[/tex]

By comparison:

[tex]V_A = V_B = abh[/tex]

well we know the line will be equal to 180 degrees so we will have an equation like this

x+100+3x=120

we subtract 100 from 180 to get 80.

180-100=80

however x cannot be 80 bc we still have the 3x.

when you do the math, you will see that 20 times 3 is 60.

20×3=60

going even further we see that 60 plus 20 is 80

60+20=80

so to check our work, lets solve this equation

20+100+3×20=180

20+100=120

3×20=60

120+60=180

so your answer is x=20

Answer:

16/77 or about 21%

Step-by-step explanation:

P(G,B) = 8/22 x 12/21 = 16/77 (simplified)

Answer:He works 40 hours each week at a rate of $16 per hour.

Step-by-step explanation:

Answer:

[tex]y=10x\text{ or }y=10x+0[/tex]

Step-by-step explanation:

Slope-intercept form is given by [tex]y=mx+b[/tex].

Since Farmer Coraz purchases 10 items every month, he will have [tex]10\cdot x[/tex] items every [tex]x[/tex] months. Since he initially starts out with 0 items, at [tex]x=0[/tex], y is also equal to 0, and thus we have the final equation:

[tex]y=10x\text{ or }y=10x+0[/tex]

*Note: while slope-intercept form is [tex]y=mx+b[/tex], since the value of [tex]b[/tex] is 0, it is possible to omit it from the final equation and both answers should receive credit.

Answer:

3x

Step-by-step explanation:

What you know

This is an equilateral triangle

the x's are all the same

you could write x + x + x = 3x = 16

Multiplying is just adding repeatedly

Answer:16 = 3x

Step-by-step explanation:

Perimeter = Sides surrounding a figure

The triangle has 3 sides, each named "x".

Thus, because the perimeter is equivalent to 16 inches, 3x = 16.

Answer:

33 is the answer

Answer:

2/5

Step-by-step explanation:

20/50 is 2/5 simplified

Answer:

20/50=2/5

Step-by-step explanation:

0.004 is the probability of getting exactly 0 tails :)

The perimeter of the square of side 5 cm  is 20 cm

The perimeter of a square is calculated with the formula:

Perimeter = 4 * length of side

length of the side = 5 cm

Perimeter = 4 * 5 cm

Perimeter = 20 cm

Therefore, the perimeter of the square is 20 cm

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By definition of perimeter, the correct answer is option C. the perimeter of the square is 20 cm.

The perimeter of a two-dimensional figure is the distance around the figure. That is, the perimeter of a flat geometric figure is called the length of its contour.

So, the perimeter is the measurement obtained as a result of the sum of the sides of a flat geometric figure. So to calculate the perimeter of a figure it is necessary to know two basic variables:

A square is a flat geometric figure that has four equal sides, so the expression to calculate the perimeter of a square is:

Perimeter= 4× length of the sides

In this case, a square has a side length of 5 cm. So, the perimeter of the square is calculated as:

Perimeter= 4× 5 cm

Solving:

Perimeter= 20 cm

Finally, the correct answer is option C. the perimeter of the square is 20 cm.

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Answer:

Area is 40

perimeter is 26

Step-by-step explanation:

area = l×w

[tex]8 \times 5 = 40[/tex]

Perimeter = 2L +2W

[tex]2 \times 8 + 2 \times 5 \\ 16 + 10 \\ 26[/tex]

Answer:

12

Step-by-step explanation:

its a square all sides of the square are the same so 48 divided by 4 is 12

5 points is not a lot of points

Answer:

d=√((x_2-x_1)²+(y_2-y_1)²)

Step-by-step explanation:

which is an application of the Pythagorean theorem. We can rewrite the Pythagorean theorem as d=√((x_2-x_1)²+(y_2-y_1)²) to find the distance between any two points

Answer: 16

Step-by-step explanation:

Answer:

It should be 16

Step-by-step explanation:at the you would take the 8 because that tells you half the length of the side then at the bottom there is also the other half of the line

Answer:

14x - 9x = 5x

Step-by-step explanation:

8x + 6 = 14x

6x + 3 = 9x

Answer:B

I think we are in the same class lol

Step-by-step explanation:448 divided by 14= 32

448 divided by 16= 28

B=speed of boat in water

Y= Speed of current

B+y=32

B-y=28

32 + 28 =60

60 divided by 2 = 30

32 -30 =2

B=30

Y=2

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A boat traveled 448 miles downstream and back. The trip downstream took 14 hours. The trip back took 16 hours. B) boat: 30 mph, current: 2 mph.

If the object is going linearly, and at a constant speed, then the speed of that object is given by the distance it traveled to the time it took to travel that distance.

If the object traveled D distance in T units time, then that object's speed is

[tex]Speed = S = \dfrac{\: Distance \: traveled}{\: Time \: taken} = \dfrac{D}{T} \: \rm unit \: length/unit \: time[/tex]

A boat traveled 448 miles downstream and back.

The trip downstream took 14 hours. The trip back took 16 hours.

[tex]S = \dfrac{D}{T} \: \rm unit \: length/unit \: time[/tex]

Speed of downstream

448/ 14= 32

Speed of back stream

448 / 16= 28

B = Speed of boat in the water

Y = Speed of current

The system of equation

B + y = 32

B - y = 28

32 + 28 =60

60 / 2 = 30

So,

32 - 30 =2

B = 30  

Y = 2

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