. (01.05) 1.Write the equation of a line with a slope of 4 and a y-intercept of −3. (2 points) A- 4x + y = −3 B-4x − y = −3 C- y = −3x + 4 D- y = 4x − 3 2. (01.05) Write the equation of the line that passes through (−1, 5) and has a slope of 3 in point-slope form. (2 points) A- x + 1 = 3(y − 5) B- x − 5 = 3(y + 1) C- y − 5 = 3(x + 1) D- y + 1 = 3(x − 5) 3. (01.05) Write the equation of the line that passes through (1, 5) and (−2, 14) in slope-intercept form. (2 points) A- y = 3x + 2 B- y = 3x + 8 C- y = −3x − 2 D- y = −3x + 8

Answer:

B - 150 yd

Step-by-step explanation:

Obviously the first step is to find the missing measurement. To do this, you use the Pythagorean theorem; a² + b² = c².

In this case, let's label the the missing side A, the height B, and the hypotenuse C.

X² + 15² = 25²

Then you must figure out what 15² and 25².

15² = 225

25² = 625

The next step is to subtract 15² (225) from 25² (625), which will give you the result of X².

625 - 225 = 400.

Now you know X² = 400, you can find the square root of 400 to give you the length of the triangle.

√400 = 20.

The missing length of the triangle is 20 yards.

Now it's just a matter of finding the area by using the formula;

A = [tex]\frac{bh}{2}[/tex]

Or,

(20 × 15) ÷ 2 = 150.

And there's your answer. Don't forget to add the units.

Answer:

C. 10i

Step-by-step explanation:

I took the quiz and got a 100%

By Simplify square root of negative 100 we get the answer is C (10i).

Usually, simplification involves proceeding with the pending operations in the expression.

A Simplification usually involves making the expression simple and easy to use later.

We have the expression:

√-100

Rewriting this yields:

[tex]=\sqrt{-1\cdot100}\\\\=\sqrt{-1}\cdot\sqrt{100}\\\\=i\sqrt{100}=10i[/tex]

Therefore, By Simplify square root of negative 100 we get the answer is C (10i).

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Answer:

70 000 200, 7 030 400, 790 300, 709 400, 78 300, 70 800

Step-by-step explanation:

Greatest is always the number with the most digits.

Answer:

70 000 200, 7 030 400, 790 300, 709 400, 78 330, 70 800

Step-by-step explanation:

To answer this I simply needed to know the orders of numbers from ones, tens, hundreds, thousands, ten thousands, hundred thousands, millions, tens of millions, and hundreds of millions. You must also know which digits hold the most value.

[tex]1\\10\\100\\1,000\\10,000\\100,000\\1,000,000\\10,000,000\\100,000,000[/tex]

Answer:

A

Step-by-step explanation:

Let width  =w in

Length = 3w - 2 in

Perimeter of rectangle = 36 inches

2* (length + width ) = 36

2*(3w -2 + w) = 36

2* (4w -2 ) = 36

2*4w - 2*2 = 36

8w - 4 = 36

Add 4 to both sides

8w - 4 + 4 = 36 +4

           8w = 40

Divide both sides by 8

8w/8 = 40/8

w = 5

Width = 5 in

Answer:

pm/ 100 is answer.

Step-by-step explanation:

here, p% of m

=p/100× m

= pm/ 100 ...is answer.

hope its what you are searching for..

Answer:

Car 1 consumes 30 gallons of gas.

Car 2 consumes 20 gallons of gas.

Step-by-step explanation:

Answer:

Its C

Step-by-step explanation:

The statement which best describes what is happening in section C is His car is slowing down.

Speed is the unit rate in terms of distance travelled by an object and the time taken to travel the distance.

Speed is a scalar quantity as it only has magnitude and no direction.

The graph is attached below.

There are 4 sections on the graph.

In the section A, the car is speeding up since the speed is increasing as the time increases.

In the section B, the speed is constant as the time increases. This means his car is traveling at a constant speed.

In the section C, speed is decreasing with time. So the car is slowing down.

In the section D again the car travels at a constant speed.

Hence in section C, car is slowing down.

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Answer: 0.01.

Step-by-step explanation:

Given: A computer randomly generates a 5-digit string using numbers between 0 and 9 inclusive.

i.e. each place in 5 digit number has 10 choices.

Total ways to make such a number = [tex]10^5=100000[/tex].

If the first two digits in the string are a 4 and a 2, in that order, then the number of ays to make this kind of number = 1 x 1 x 10 x 10 x 10 = 1000  [as 4 and 2 can be put on first and second place in 1 way ]

Now, the probability that the first two digits in the string are a 4 and a 2 , in that order = [tex]\dfrac{1000}{100000}=\dfrac{1}{100}=0.01[/tex]

Hence, the probability that the first two digits in the string are a 4 and a 2 , in that order = 0.01.

Step-by-step explanation:

-|2x+3|=1

-|2x+3|/-1=1/-1

|2x+3|=-1

2x=-1-3

2x=-4

2x/2=-4/2

x= -2

74+x+85+33= 180 (bc the sum of the angles of a triangle is 180º)

192=180-x

192-180=-x

12=-x

-12=x

Answer:

1/36

Step-by-step explanation:

If a cube rolls and it landed on one it’s 1/6 if u rolled he same cube and got one too then it’s still 1/6 so now u just multiply them

Hope this helps

Answer:

1/36.

Step-by-step explanation:

Each event of a die being rolled is an independent event, which means that each time you roll the die does not affect the next time you roll it.

The probability of getting a 1 on the first roll is going to be 1/6, since there is only one 1 on the 6-sided die.

The probability of getting a 1 on the second roll is also going to be 1/6, for the same reason.

So, if both rolls are going to be 1s, the probability that will happen is (1/6) times (1/6), which is 1/36.

Hope this helps!

Answer:

[tex]\frac{9}{2}[/tex]

Step-by-step explanation:

The variable 'm' represents the slope in 'y=mx+b'. We need to find the slope of the two points.

Slope is rise over run. We are given the points of (6, 13) and (10, 31).

[tex]m=\frac{rise}{run}=\frac{31-13}{10-6} =\frac{18}{4} =\huge\boxed{\frac{9}{2}}[/tex]

The slope, or 'm' should be [tex]\frac{9}{2}[/tex].

Answer:

C. 21/26

Step-by-step explanation:

Slope Formula: [tex]m = \frac{y2-y1}{x2-x1}[/tex]

Plug in our coordinates:

m = (5 + 16)/(18 + 8)

m = 21/26

Answer:

C. 21/26

Step-by-step explanation:

Slope is determined by the change (or difference) in the y-coordinates divided by the change (or difference) in the x-coordinates.

Here, our y-coordinates are -16 and 5, so:

5 - (-16) = 5 + 16 = 21

Our x-coordinates are -8 and 18, so:

18 - (-8) = 18 + 8 = 26

Now, we divide: 21/26.

The answer is thus C.

~ an aesthetics lover

Answer:

1

Step-by-step explanation:

Halves:

0

0.5

1

1.5

2

1 1/16 = 1.0625

1.0625 is between 1 and 1.5, but it is much closer to 1 than to 1.5, so answer is 1

Answer:

A) 19,600

Step-by-step explanation:

A) How many ways can we choose three states to be represented?

To solve for the above question, we would be using the Combination formula

The combination formula is given as:

C(n , r) = nCr = n!/r! (n - r)!

Where n = 50

We are told that we are to make a 3-Senator committee in which no two members are from the same state. So,

r = 3 ( senator committee)

nCr = n!/r! (n - r)!

50C3 = 50! / 3! (50 - 3)!

50C3 = 50! / 3! × 47!

50C3 = 19,600

Therefore, the number of ways can we choose three states to be represented is 19,600 ways.

Answer:

PARALLELOGRAM have 2 pairs of congruent angles

Step-by-step explanation:

QUADRILATERALS have one pair of parallel lines. If it has two sets, it NOW become a PARALLELOGRAM.

The statement first is All quadrilaterals have at least 1 pair of parallel sides. and Parallelograms have 2 pairs of congruent angles that are true.

A figure enclosed by the four sides and the sum of all the angles are equal to 360.

Properties of a quadrilateral are:-

A quadrilateral has four sides (edges)

A quadrilateral has four vertices (corners)

A quadrilateral has interior angles that add to 360 degrees:

Types of quadrilateral are square, rectangle, rhombus, trapezoid, and parallelogram.

So here  All quadrilaterals have at least 1 pair of parallel sides. and Parallelograms have 2 pairs of congruent angles that are true.

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Answer:

1/1

Step-by-step explanation:

because that is it

Answer:

Bruh.........................

Step-by-step explanation:

Answer:

Step-by-step explanation:

the answer is b

The product of the given polynomials is 3x⁴-x³+3x²+18x+4. Therefore, option B is the correct answer.

Multiplication is an operation that represents the basic idea of repeated addition of the same number. The numbers that are multiplied are called the factors and the result that is obtained after the multiplication of two or more numbers is known as the product of those numbers.

The given expression are 3x² + 5x + 1 and x² - 2x + 4

Now,

           3x² + 5x + 1

         × x² - 2x + 4

         __________

           12x²+20x+4

    -6x³-10x²-2x

3x⁴+5x³+x²

_______________

3x⁴-x³+3x²+18x+4

Therefore, option B is the correct answer.

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Answer:

1425

Step-by-step explanation:

∑ 1 ^30 (3n+1)=4+7+10+... 30 terms

a=4

n=30

d=7-4=3

[tex]S_{30}=\frac{30}{2}[2 \times 4+(30-1) \times 3]\\=15[8+87]\\=15 \times 95\\=1425[/tex]

Answer:

1605

Step-by-step explanation:

hope this helps you guys on acellus

Answer:

A, B, D

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

reciprocal theorem or whatever states that instead of dividing just flip and change sign to multiply

Answer:

the interest is 5.42

Step-by-step explanation:

Answer:

Interest = 5.42

Step-by-step explanation:

Answer:

see below

Step-by-step explanation:

2i * -2i = -4 i^2

We know that i^2 = -1

          = -4 * -1

          = 4

It is not equal to -4i because we need to multiply i*i which is i^2 not i

Answer:

The answer is 4 (working below), It is not [tex]-4i[/tex] because [tex]i \times i = i^2[/tex].

Step-by-step explanation:

[tex]2i \times -2i[/tex]

Multiply.

[tex]2 \times i \times -2 \times i[/tex]

[tex]-4i^2[/tex]

Apply : [tex]i^2 = -1[/tex]

[tex]-4(-1)[/tex]

[tex]=4[/tex]

Answer:

The equation of the burning of the candle is

[tex]y = -2x + 12[/tex]

It would take 6 hours for the candle to burn out completely.

Step-by-step explanation:

A candle is burning. It starts out 12 inches long.

After 1 hour, it is 10 inches long.

After 3 hours, it is 6 inches (5.5 must be a typing error)

2. Is the height of the candle a function of time? If yes, is it a linear function? Explain your thinking,

The burning of this candle can be modeled by a linear equation of the form

[tex]y = mx + b[/tex]

where y is the length of the candle in inches, x is the time in hours, m is the slope and b is the y-intercept.

The height of the candle is clearly a function of time since it changes with time.

The slope m is given by

[tex]$ m = \frac{y_2 - y_1}{x_2 - x_1} $[/tex]

Where

[tex](x_1, y_1) = (0, 12) \\\\(x_2, y_2) = (1, 10) \\\\[/tex]

[tex]$ m = \frac{10 - 12}{1 - 0} $[/tex]

[tex]m = -2[/tex]

The slope of negative 2 means that the length of the canlde is decreasing by a factor of 2.

To find the value of the y-intercept (b),

substitute (x, y) = (0, 12)

which means that at x = 0 the length of the candle is 12 inches.

[tex]y = mx + b \\\\12 = -2(0) + b \\\\b = 12[/tex]

So the equation of burning of the candle becomes

[tex]y = mx + b \\\\y = -2x + 12 \\\\[/tex]

1. When do you think the candle will burn out completely?

Since we have the equation now we can find the length of the candle for any given time and also find the time required for a specific length of the candle.

Burn out completely means the length of the candle becomes zero.

[tex]y = -2x + 12 \\\\0 = -2x + 12 \\\\-2x = -12 \\\\x = 12/2 \\\\x = 6 \: hours \\\\[/tex]

Therefore, it would take 6 hours for the candle to burn out completely.

This question bus incomplete because it lacks the appropriate options.

Complete Question

The total cost of a new calculator is

$81.05. This price includes a 10% student discount. Followed by a 6.5% sales tax. What was the original price of the calculator, not including the tax or the discount?

A. $77.69

B. $83.99

C. $78.80

D. $84.56

Answer:

D. $84.56

Step-by-step explanation:

From the question, we are given the following values

Total cost of a new calculator = $81.05

Student discount = 10%

Sales tax = 6.5%

The formula to use is

Total price = Original price ( 1 ± r)

Where r = rate of the discount or sales tax

Step 1

Find the original price of the calculator without the discount

Because we are calculating using discount we are using the minus sign

Total price = $81.05

r = 10% = 0.1

Total price = Original price ( 1 - r)

$81.05 = Original price (1 - 0.1)

$81.05 = Original Price × 0.9

Original price = $81.05÷ 0.9

= $90.055555556

Approximately, the original price without the 10% discount is $90.06

Step 2

Find the Original price without the sales tax

Because we are calculating using sales tax we are using the plus sign

Total price = $90.06

This is because the Original price without the discount = Current total price with sales tax for step 2

r = 6.5% = 0.065

Total price = Original price ( 1 + r)

$90.06 = Original price (1 + 0.065)

$90.06 = Original Price × 1.065

Original price = $90.06÷ 1.065

= $84.563380282

Approximately, the original price without the 10% discount and 6.5% sales tax is $84.56

Answer:

He can sort the books by alphabetical order.

I would estimate around 5

Step-by-step explanation:

The number of the different ways that the books can be arranged will be 126126 and 6.

A permutation is an act of arranging items or elements in the correct order. Combinations are a way of selecting items or pieces from a group of objects or sets when the order of the components is immaterial.

A clerk at a bookstore is restocking a shelf of best-selling novels. He has five copies each of three different novels.

Then the number of the different ways by which he can arrange the books on the shelf will be

⇒ 15! / (5! x 5! x 5! x 3!)

⇒ 126,126

Then the number of the different ways can these books be arranged on the shelf if the copies of the same novel must be grouped together will be

⇒ 3!

⇒ 6

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Answer:

22.4 cm

Step-by-step explanation:

Given

r = 10 cm

θ = 135°

Perimeter of sector is:

P = 2r + 2πr(θ/360)

P = 2*10 + 2(3.14)(135/360) = 22.4 cm (rounded)