Write an equation of the line in slope-intercept form.
y=

Answer:

y = 8 , x = 15

Step-by-step explanation:

[tex]\frac{24}{51}= \frac{y}{17} \\[/tex]

Cross Multiply.

51 * y = 24 * 17

Then solve for y.

[tex]y=\frac{24*17}{51}[/tex]

y = 8

Same thing for the x.

[tex]\frac{45}{51}=\frac{x}{17}[/tex]

Cross Multiply.

51 * x = 45 * 17

Solve for x.

[tex]x=\frac{45*17}{51}[/tex]

x = 15

Answer:

f−1(x)=x5+45

Step-by-step explanation:

Answer: Approximately 211.628311 feet of wire is needed

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Explanation:

Draw out a right triangle with 44 as the horizontal component. The angle 78 is the angle of elevation right next to the horizontal side.

Let x be the length of the wire needed. This is the hypotenuse of the triangle.

Use the cosine ratio to say the following:

cos(angle) = adjacent/hypotenuse

cos(78) = 44/x

x*cos(78) = 44

x = 44/cos(78)

x = 211.628311 feet approximately

Round this value however you need to.

Answer:

211.63 ft (nearest hundredth)

Step-by-step explanation:

**Refer to the attached diagram**

We need to find the hypotenuse of the right triangle.

To do this, we should use the cos trig ratio:

[tex]\sf cos(\theta)=\dfrac{A}{H}[/tex]

where:

Given:

Substitute given values into the equation and solve for w:

[tex]\sf \implies cos(78)=\dfrac{44}{w}[/tex]

[tex]\sf \implies w=\dfrac{44}{cos(78)}[/tex]

[tex]\sf \implies w=211.6283112[/tex]

Therefore, the length of wire needed is 211.63 ft (nearest hundredth)

x1 = 9, x2 = 3

y1 = -1, y2 = 3

[tex] \sqrt{ {(x2 - x1) + (y2 - y1)}^{2} } \\ \\ \sqrt{ {(3 - 9)^{2} + (3 - ( - 1))}^{2} } \\ \\ \sqrt{ {( - 6)}^{2} + {(4)}^{2} } \\ \\ \sqrt{ 36 + 16 } \\ \\ \sqrt{52} \\ \\ 7.21 \: units[/tex]

Answer:

the answer is D

Step-by-step explanation:

Answer:

6 1/2 Grams

Step-by-step explanation:

Hope this helped!!

The weight of Leo's fish from kilograms to grams is 6500 grams

Kilograms is the "SI unit of mass (equivalent to approximately 2.205 lb), first introduced as a unit of mass for the metric system".

According to the question,

Leo catch a total 6.5 kilograms of fish. He wants to convert kilograms into grams.

Formula to convert kilograms into grams 1 kilograms = 1000 grams

In order to find kilograms into grams only if multiply given kilogram into 1000.

6.5 × 1000 = 6500 grams

Hence, the weight of Leo's fish from kilograms into grams is 6500 grams.

Learn to more about Kilograms here

https://brainly.com/question/19013677

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[tex] {2x}^{3} + 4 {x}^{2} + 8x \\ \\ 2x( {x}^{2} + 2x + 4)[/tex]

The best way to describe the center of the data represented in this line plot include the following: the median is 2.5 inches.

In Mathematics, a median refers to the middle number (center) of a sorted data set, which is when the data set is either arranged in a descending order from the greatest to least or an ascending order the least to greatest.

Since the data set representing the amount of rainfall has an outlier, the median would be best way to describe the center of the data represented in this line plot.

First of all, we would sort the 10 observations from the least to greatest as follows:

1, 1, 2, 2, 2, 3, 3, 5, 6, 7

Median = (2 + 3)/2

Median = 5/2

Median = 2.5 inches.

Read more on median here: brainly.com/question/452652

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Using the order of operations to find the value of the expression, we have; A. 5

We want to use order of operations to solve the problem;

2 + 3 × 16 − 2 × 21 − 3

Now, the order is called BODMAS which means;

Bracket, Of, Division, Multiplication, Addition, Subtraction.

From the order above and looking at our question, we will first carry out multiplication to get;

2 + 48 - 42 - 3

Next is addition to get;

50 - 42 - 3 = 5

Read more about Order of operations at; https://brainly.com/question/16788360

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Answer:

448 is the answer

Step-by-step explanation:

If u need complete solution do let me know

Answer:

448 yd^2.

Step-by-step explanation:

The surface area consists of 3 rectangles and 2 congruent triangles

= 12*11 + 2 * 10*11 + 2 * 1/2 * 12*8

= 132 + 220 + 96

= 448 yd^2.

Answer:

Step-by-step explanation:

We will see that the perimeter of the rectangle is exactly 390 ft, so the statement is true.

For a rectangle of length L and width W, the perimeter is given by:

P = 2*(L + W).

In this case, we know that:

L = 120 ft

W = 75 ft

Replacing that on the perimeter equation we get:

P = 2*(120 ft + 75  ft) = 390 ft

So the perimeter is exactly 390 ft, meaning that to put a fence around the parking lot the company will need at least 390 ft of fence.

So the statement is correct.

If you want to learn more about perimeters, you can read:

https://brainly.com/question/24571594

Answer:

The three perpendicular bisectors of the sides of a triangle meet in a single point, called the circumcenter . A point where three or more lines intersect is called a point of concurrency. So, the circumcenter is the point of concurrency of perpendicular bisectors of a triangle.

If you can please give brainliest thank you <3

Step-by-step explanation:

Answer: Below

Step-by-step explanation:

Let's start with 12. Going off of basic quadrilateral rules, adjacent angles will be equal to 180. So we make the equation:

8x - 12 + 3x + 5 = 180
Simply.
11x - 7 = 180
11x = 187
x = 17

Since R = P, R = 3(17) + 5 = 56

Now with 14.

We know ABC is both 115 and 4x+6, so:
115 = 4x + 6

109 = 4x
x = 27.25

ADB is 6x - 11, so 6(27.5) - 11 = 152.5

12) 56

14) 152.5

1. no

2. no

3. strong

4. positive

this is what i think is right. lmk which is wrong :)

Answer:

x= -4

Step-by-step explanation:

adding the two equations,

x+x+y-y=-10+2

2x= -8

x=-4

Answer:

1030 [tex]yd^{2}[/tex]

Step-by-step explanation:

split it into 2 different rectangular prisms

first one is 27 yd by 8 yd by 9 yd

second is 10yd by 8 yd by 12 yd

Answer:

1494 [yd²].

Step-by-step explanation:

1) the required area can be calculated as (see the attached picture):
A=A1+A2+A3+A4+A5+A6+2*A7;

2) finally,

A=9*8+17*8+8*12+10*8+(12+9)*8+27*8+2*(27*9+12*10);

A=1494 [yd²].

Note, the suggested solution is not the shortest one.

Answer:

13 7/9

Step-by-step explanation:

You have two mixed numbers right now, so the first step to take would be to add the integers 4 and 8 since those numbers are limited by fractions (1/9 and 2/3 are limited as fractions). This would equal 13, and now you can move on to the fractions 1/9 and 2/3. In order to add those, you will have to find the LCM or the least common multiple, which in this case is 9 since 3 is a multiple of 9 (and 9 is obviously a multiple of 9). Knowing, you would have to convert the 2/3 into something ___/9, which would be 6/9. Adding those two together would result in 7/9. Combine that with the integer 13, and you have 13 7/9. Hope this helps!  

Answer:

29 inches

Step-by-step explanation:

add all the sides

11+4+3+4+7=29

Answer:

29 inches

Step-by-step explanation:

⇒ Perimeter = Sum of the lengths of the sides

⇒ P = 11 + 4 + 3 + 4 + 7

⇒ P = 18 + 11

⇒ P = 29 inches

Put y and find x

Answer:

the answer to this question is 52.18

Answer:

ur momma

Step-by-step explanation:

yea so you take the 5/8 and the 2 and the 2/7 and you dd then subtract then divide

Answer:

354.5

Step-by-step explanation:

The area of a circle is calculated as A = πr².

Answer:

358.36(rounded to nearest hundredth)

Step-by-step explanation:

area of sector =

[tex] \frac{120}{360} \times area \: of \: circle \\ = \frac{120}{360} \times (3.14 \times {18.4}^{2} ) \\ = 354.3594667 \\ = 354.36(nearest \: hundredth)[/tex]

Explanation:

Assuming you want to arrange the letters of "grade", then we have 5 unique letters. That gives 5! = 5*4*3*2*1 = 120 different permutations. Order matters. The exclamation mark means factorial. It means we start at 5 and count our way down to 1, multiplying along the way.

In other words, we have 5 choices for the first slot, then 4 choices for the next slot, and so on. We count down because we cannot reuse any previously selected letter.

Alternatively, you can use the nPr permutation formula

[tex]_nP_r = \frac{n!}{(n-r)!}[/tex]

where n = 5 and r = 5 since we have 5 letters to pick from and 5 slots to fill.

Answer:

120 ways

Step-by-step explanation:

The given word is :

⇒ Any of the 5 letters can be in each place

⇒ 5! ways is the number

⇒ 5 x 4 x 3 x 2 x 1

⇒ 20 x 6

⇒ 120 ways

Answer: 13/34

Step-by-step explanation: In total there are 34 people

There are 13 professors and instructors.

That means that there is a 13/34 chance.

Answer:

Step-by-step explanation:

Let the distance Brenda walked is B and distance John walked is J.

We have

and

Comparing the two equations we see

It means 2y + 4 is the distance walked by John

Correct answer choice is D

Answer:

32

Step-by-step explanation:

Add up all the numbers and then divide by how many numbers there are.