Find the slope of the line passing through the points (8, -2) and (1, -6).​

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What is the length and area of a rectangle whose perimeter is 24 cm and the breadth is 4 cm?

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❁We know:-

Perimeter of rectangle =2 ( Length + Breadth )

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By using this formula we can find length of rectangle

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So:-

↣ Perimeter of rectangle =2 ( Length + Breadth )

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↣ 24 =2 ( Length + 4 )

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↣24 = 2(Length) + 2(4)

[tex] \\ [/tex]

↣24 = 2(Length) + 2 × 4

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↣24 = 2(Length) + 8

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↣24 - 8 = 2(Length)

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↣ 16 = 2(Length)

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↣2(Length) = 16

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↣ Length = 16/2

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↣ Length = 8 cm

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Now Finally Let's find area :-

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❁We know:-

Area of rectangle = Length × Breadth

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So:-

⇢Area of rectangle = Length × Breadth

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⇢Area of rectangle = 4 × 8

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⇢Area of rectangle = 32 cm²

to get the slope of any straight line we only need two points off of it, hmmm let's use the points in the picture below.

[tex](\stackrel{x_1}{2}~,~\stackrel{y_1}{4})\qquad (\stackrel{x_2}{4}~,~\stackrel{y_2}{8}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{8}-\stackrel{y1}{4}}}{\underset{run} {\underset{x_2}{4}-\underset{x_1}{2}}}\implies \cfrac{4}{2}\implies 2[/tex]

Answer: 2 kg

Step-by-step explanation:

The modal, or the mode, is the number that occurs most. 2 shows up three times, so 2 is the modal weight.

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Have a good day! I hope this was helpful.

Answer: y=2/(x-1)

Step-by-step explanation:

We can tell this is a rational function that looks somewhat like y=1/x, execpt that the asymptote is at x=1, not x=0. This means we have y=k/(x-1), where k is a constant.

Substituting in the coordinates of a point on the graph, say (0, -2), we get that -2=k/-1, meaning k=2.

So y=2/(x-1).

Step-by-step explanation:

let T be the top of the ladder

let F be the foot of the ladder

let B be the base of the wall

you need to find the distance between the foot of the ladder and the base of the wall, in other words the distance of the 'ground' ( refer to the diagram).

you are given that the hypotenuse - H is 3 m and that the opposite - O ( wall ) is 2.8 m.

i) find the angle

given

H, O → use SOH, sin.

sin x = opp. /hyp.

sin x = 2.8 / 3

x = sin-1 ( 2.8/ 3)

x = 68.960...

x = 70.0 ° ( 3 s.f)

ii) use either tan or cos to find the adjacent (wall)

using TOA, tan:

tan ( 68.96) = 2.8/ adj.

2.8 / adj. = tan (68.96)

adj. × tan (68.96) = 2.8

adj = 2.8/ tan (68.96)

adj = 1.0770...

adj. = 1.08 ( 3 sf)

base = 1.08 m

or you could rather simply work this out using Pythagoras Theorem:

where hyp. is c², the base is b² and height is a²;

c² = a² + b²

b² = c² - a²

b² = (3)² - (2.8)²

b² = 1.16

b = √1.16

b = 1.0770

b = 1. 08 m ( 3sf)

you can give your answer to 3 sf or 2 sf.

hope this helps you!

-s.

Answer:

height = 4.8 cm

area = 120 cm²

perimeter = 62 cm

Step-by-step explanation:

**Please refer to the attached diagram when following the step-by-step**

First, find m∠C (green angle on diagram) by using the cosine rule:

[tex]c^2=a^2+b^2-2abcos(C)[/tex]

[tex]\implies 29^2=6^2+25^2-2(6)(25)cos(C)[/tex]

[tex]\implies cos(C)= \frac{29^2-6^2-25^2}{-2(6)(25)}[/tex]

[tex]\implies cos(C)= \frac{180}{-300}=-\frac{3}{5}[/tex]

[tex]\implies cos(C)=126.8698976... \textdegree[/tex]

Therefore, the interior angle of the right triangle at point C (blue angle on diagram) is:

[tex]180-cos^{-1}(-\frac{3}{5})=53.13010235... \textdegree[/tex]

Now use the Sine Rule (for finding sides) to determine height (h):

[tex]\frac{6}{sin(90)}=\frac{h}{sin(53.13..)}[/tex]

[tex]\implies \frac{6}{1}=\frac{h}{\frac{4}{5}}[/tex]

[tex]\implies 6 \times \frac{4}{5}=h[/tex]

[tex]\implies h=\frac{24}{5}=4.8[/tex]

So the height = 4.8 cm

Now we have determined the height, we can calculate the area by using the area of a parallelogram formula:

Area of a parallelogram = base x perpendicular height

⇒ area = 25 x 4.8 = 120 cm²

Parallelogram is a four-sided shape made up of two pairs of straight parallel lines that are equal in length.

Perimeter = sum of the sides

⇒ perimeter = 6 + 6 + 25 + 25 = 62 cm

Answer:

She will need to buy 3 more boxes of candies.

Step-by-step explanation:

72-45=27

27/9= 3

Answer:

399.77 yd³

Step-by-step explanation:

Circumference: 2πr

Solve for r:

Solve for volume: 4/3(πr³)

-Chetan K

Answer:

on the third column it should be tens and not ones.good job so far tho!

Answer:

[tex]y=\frac{7}{2}x+11[/tex]

Step-by-step explanation:

To solve, we need to find the y-intercept (b). In order to find the y-intercept, we can plug in the slope and the (x,y) coordinate pair given to us into the equation to solve for the y-intercept:

y=mx+b

4=(-7/-2)*-2+b

4=14/-2+b

4=-7+b

Add 7 to both sides

b=11

Therefore the equation is:

[tex]y=\frac{7}{2}x+11[/tex] (note that the fraction is positive since the two negatives cancel out)

The percentage by which it is less than the other is 10%

From the question we are asked to find the percentage of which the difference of the two numbers are. To do this, we take the subtraction of both

110 - 100 = 10

Then we find the percentage of this number.

10/100 * 100 = 10%

To learn more about percentage visit here, https://brainly.com/question/24304697

Answer:

<DEF = 107

Step-by-step explanation:

The way to best solve this problem is by starting with angle F. Remember that all angles in a straight line must add up to 180. So by subtracting 135 from 180 we get 45 for angle F.

180 - 135 = 45

After that, we can figure out the measure of <DEF. All the angles of a triangle must add up to 180. So:

180 - 28 - 45 = 107

Making the answer 107 for the measure of <DEF

Hi!

I can help you with joy!

Remember that

* Zeros in the beginning of decimals are not significant figures.

For example, 0.021 has only 2 significant figures: 2 and 1.

* Zeros in the end of decimals are significant.

For example, 2.100 has 4 significant digits.

Now, let's round 0.02852 to 3 significant digits.

Right now it has 4.

Recall the Rounding Rules:

[tex]\text{5 is followed by a number less than 5, so we round down.}[/tex]

[tex]\text{0.02852 Round down: 0.0285 (Answer)}[/tex]

Hope it helps!

Enjoy your day!

Answered by

~Silent~

Answer:

22

Step-by-step explanation:

Answer:

8 science fiction movies

Step-by-step explanation:

2+s=10

-2   -2

s=8

Travis streamed 8 science fiction movies

Answer:

5% chance

Step-by-step explanation:

devide how many students the teacher will choose from the amount of students there is to choose from:

1 / 20 = 0.05

then multiply by 100 to get the amount expressed in percentage:

.05 * 100 = 5%

the result:

Jo has 5% chance of winning.

Answer:

1 foot is 12 inch so the tail of boeing will be 63 2/3 x 12

Step-by-step explanation:

https://brainly.com/question/3663351

Hoped this helped and have a nice day

Answers:

a = -2

b = -1

==========================================

Explanation:

The first piece 5 must match up with the ax+b when x = -2, or else the function wouldn't be continuous at this junction.

Plug in x = -2 and set the result equal to 5

We end up with -2a+b = 5

Solving for b gets us b = 5+2a

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The middle piece ax+b must also equal the third piece -5 when x = 3 to ensure the second junction is continuous.

This leads us to the equation 3a+b = -5

Apply substitution and solve for 'a'

3a+b = -5

3a+5+2a = -5

5a+5 = -5

5a = -5-5

5a = -10

a = -10/5

a = -2 is one of the answers

Then use this to find b

b = 5+2a

b = 5+2(-2)

b = 5-4

b = -1 is the other answer

Let number be x

[tex] \leadsto \sf {x}^{2} + 2 = 227[/tex]

[tex] \\ \\ [/tex]

[tex] \leadsto \sf {x}^{2} = 227 - 2[/tex]

[tex] \\ \\ [/tex]

[tex] \leadsto \sf {x}^{2} = 225[/tex]

[tex] \\ \\ [/tex]

[tex] \leadsto \sf {x} = \sqrt{225} [/tex]

[tex] \\ \\ [/tex]

[tex] \leadsto \sf {x} = \sqrt{15 \times 15} [/tex]

[tex] \\ \\ [/tex]

[tex] \leadsto \sf {x} = 15[/tex]

Number = 15

Answer:

3 degrees and 87 degrees

Step-by-step explanation:

If the angle is x, its complement is (90-x).

This means that x+84=90-x.

2x=6

x=3.

So the measures are 3 degrees and 90-3=87 degrees

Answer: 12 and 8

Step-by-step explanation:

there not

The integer m whose factors are 15,12,10 and 6 is 60 and 8 is not, therefore, for integer 60, 8 will be not the factor so option (D) is correct.

An integer is a whole number irrespective of the sign that the integer is all whole numbers that are going from 0 to infinite or 0 to minus infinite.

Integer ; ....-2 , -1 , 0 , 1 , 2 , .....

Integers are non-decimal numbers and all integers are rational numbers.

The factors of 10 ⇒ 2 × 5

The factors of 12 ⇒  2 × 2 × 3

The factors of 10 × 12  ⇒  2 × 5 × 2 × 2 × 3

We can make all factors by 2 × 5 × 2 × 2 × 3 like 5 × 3 = 15 , 2 × 2 × 2 = 8.

So find a number whose all will be a factor except one.

The factor of 60 ⇒ 2 × 2 × 3 × 5

We cannot make 8 by this factor but can make 15,12,10,6.

Example 15 = 3 × 5 , 12 = 2 × 2 × 3

Hence "The integer m whose factors are 15,12,10 and 6 is 60 and 8 is not, therefore, for integer 60, 8 will be not the factor".

To learn more about integers,

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Answer:

5

Step-by-step explanation:

tan(0) = sin(0)/cos(0) = 5sqrt(26)/(26)/sqrt(26)/26

Cancel the common factor which is sqrt(26)

tan(0) = sin(0)/cos(0) = 5/26 * 26

Cancel common factor again which is 26 here

tan(0) = sin(0)/cos(0) = 5

Answer:

4 cm

Step-by-step explanation:

1/8·n = 1/2

multiply each side by 8/1

n = 8/2 or 4

The length on the map that represents 1 meter in real is 4 centimeters.

A ratio shows us the number of times a number contains another number.

Given that Each 1/2 centimeter on a map represents an actual length of 1/8 of a meter. Therefore, the ratio can be written as,

Length on Map / Actual Length = (1/2) centimeters / (1/8) meters

Length on Map / Actual Length = 4 centimeters per meters

Now, the length on the map that represents 1 meter in real is,

Length on Map / Actual Length = 4 centimeters per meters

Length on Map / 1 meter = 4 centimeters / 1 meters

Length on Map = 4 centimeters

Hence, the length on the map that represents 1 meter in real is 4 centimeters.

Learn more about Ratios here:

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Answer:

10.99

Step-by-step explanation:

I JUST HAD THAT AND GOT IT RIGHT TRUST ME NOW GIVE ME BRAINLY I SWEARRR

Answer:

[tex]\huge\boxed{\sd -9, \ 1}[/tex]

Step-by-step explanation:

Given quadratic equation is:

x² + 8x - 9 = 0

Using mid-term break formula

x² + 9x - x - 9 = 0 (When we multiply middle terms, we get side terms as answer which is mid term break formula.)

Taking common

x(x + 9) - 1(x + 9) = 0

Take (x + 9) common

(x + 9)(x - 1) = 0

According to zero's method:

Either:

x + 9 = 0      OR    x - 1 = 0

x = -9           OR       x = 1

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

Answer:

here may be more than one correct answer.  

Cubic, f(x)=x^3

Quadratic, f(x)=x^2

Square root, f(x)=√x

Constant, f(x)=c

Linear, f(x)=x

Step-by-step explanation:

The domain of the square root parent function is x ≥ 0 as the square root of only non-negative values exists and that of negative values does not exist, while the domain of the cube root parent function is the set of all real numbers as the cube root of all numbers exists.

A function is a relation between a dependent variable f(x) and an independent variable x, where for every value of x in its domain, there is one and only one value of f(x).

The domain of a function is the set of values of x, for which f(x) exists.

The range of a function is the set of values of f(x), in a given domain of x.

We are asked why is the domain of the square root parent function x ≥ 0 and the domain of the cube root parent function all real numbers.

We know that the domain of a function is the set of values of x, for which f(x) exists.

Let the square root parent function be f(x) = √x.

The domain of this function is x ≥ 0, as the square root of negative values does not exist in the real number system.

Let the cube root parent function be g(x) = ∛x.

The domain of this function is all real numbers, as the cube root of all values does exist in the real number system.

∴ The domain of the square root parent function is x ≥ 0 as the square root of only non-negative values exists and that of negative values does not exist, while the domain of the cube root parent function is the set of all real numbers as the cube root of all numbers exists.

Learn more about the domain and range of a function at

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Answer:

My best recommendation is to find the median.

Step-by-step explanation:

To find a median, find the averaging number and divide by 2. Round them up for odd numbers. For even numbers, leave them and if it's a decimal, find a remainder. If the median method does not work, put the numbers on a ratio comparison and see if that gives you the next patterns.

I tried my best so I really do hope this helps you.