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The x and y intercepts of a line are when [tex]y=0[/tex] and [tex]x=0[/tex] respectively.

The given equation is:

[tex]\frac xc + \frac yd = 1[/tex]

(1) Why c and d are the intercepts

We have:

[tex]\frac xc + \frac yd = 1[/tex]

Multiply through by cd

[tex]cd \times \frac xc + cd \times \frac yd = cd \times1[/tex]

[tex]dx + cy = cd[/tex]

A linear equation is represented as:

[tex]Ax + By = C[/tex]

Where:

[tex]\frac CA \to[/tex] x intercept

[tex]\frac BA \to[/tex] y intercept

So, by comparing [tex]Ax + By = C[/tex] to [tex]dx + cy = cd[/tex]

[tex]\frac CA \to d \to[/tex] The x-intercept

[tex]\frac CB \to c \to[/tex] The y-intercept

(b) How the intercepts are related to c and d?

In (a) above, we have:

[tex]\frac CA \to d \to[/tex] The x-intercept

[tex]\frac CB \to c \to[/tex] The y-intercept

When [tex]x = 0[/tex]

We have:

[tex]dx + cy = cd[/tex]

[tex]d \times 0 + cy = cd[/tex]

[tex]cy = cd[/tex]

Divide by c

[tex]y = d[/tex] ---- the y-intercept

When [tex]y = 0[/tex]

We have:

[tex]dx + cy = cd[/tex]

[tex]dx + c \times 0 = cd[/tex]

[tex]dx = cd[/tex]

Divide by d

[tex]x =d[/tex] ---- the x-intercept

Read more about intercepts at:

https://brainly.com/question/13593488

Answer: x = 7°

Explanation:

We know that sum of angles of a quadilateral is = 360°

Therefore ATQ

⇒ (12x-4)+(18x+4)+(15x+10)+(5x) = 360

⇒ (12x + 18x + 15x + 5x) + (-4+4+10) = 360

⇒ 50x + 10 = 360

⇒ 50x = 360-10

⇒ 50x = 350

⇒ x = 350/50

⇒ x = 7

Therefore value of x is 7°

Must click thanks and mark brainliest

Step-by-step explanation:

1.answer is 6.9667738478

2 answer is 42.872454448

3answer is 14.1339764202

4answer is 0.0857449089.

Answer:

360 in.

Step-by-step explanation:

In order to get this answer, you have to multiply 5 and 8 by 3 because the drawing is 1/3 of the actual flag.

5 x 3 = 15

8 x 3 = 24

So, 24 x 15 = 360 in.

Hope this helps! :)

Answer:

15.35888558

Step-by-step explanation:

is the answer

cos-¹(27/28)

Answer:

75 degrees

Step-by-step explanation:

law of sinus :

a/sin(A) = b/sin(B) = c/sin(C)

where the sides are always opposite to the used angles.

so,

28/sin(90) = 27/sin(angle)

28/1 = 28 = 27/sin(angle)

28×sin(angle) = 27

sin(angle) = 27/28 ≈ 0.96

angle ≈ 75 degrees

Answer:

(x,y) —> (–1 ,1)

I hope I helped you ^_^

9514 1404 393

Answer:

  640 marks

Step-by-step explanation:

80% of 800 is ...

  0.80 × 800 = 640

He got 640 marks.

Answer:

B and C

Step-by-step explanation:

A is actually 5 so it is an integer and 0 is considered and integer.

Answer: Rs 33

Step-by-step explanation:

Cost of 5 dozen copies = Rs 60

Total copies in 5 dozen = 5×12

= 60

Cost of each copy = 60/60

= Rs 1 per copy

Cost of 33 copies = 33×1

= Rs 33

Therefore cost of 33 such copies is Rs 33

please click thanks and mark brainliest if you like :)

Answer:

that would be -11

Step-by-step explanation:

it is asking for the absolute value of -7-4 however absolute value is always positive once you solve that you have a negative symbol on the outside that turns ur answer negative

Answer:

- 3

Step-by-step explanation:

- | -7+4|

Determine inside the absolute value first

-7+4 = -3

Replace inside the absolute value

- |-3|

The absolute value means take the non negative value

|-3| =3

- 3

Answer:

Here, we see that the slope (m) equals -1.

Step-by-step explanation:

m=Rise/Run

-2/2=-1

Hope it helps:)

Answer:

A

Step-by-step explanation:

simple interest (I) is calculated as

I = [tex]\frac{PRT}{100}[/tex]

P is the principal. R the rate of interest and T the time in years

Here P = 880000, R = 3.5 and T = 2.5 , then

I = [tex]\frac{880000(3.5)(2.5)}{100}[/tex]

 = 8800 × 3.5 × 2.5

 = 77000 → A

Answer:

mate....where is red shaded region....

probably this will help ..... ;)

find the probability that a randomly selected point within the circle falls in the red shaded area

https://brainly.com/question/14113463?utm_source=android&utm_medium=share&utm_campaign=question

Answer:

1) 6r+7=13+7r —> 7r–6r=7–13 —> r = – 6

2) 13–4x=1–x —> 4x–x=13–1 —> 3x=12 —> x=12/3 —> x=4

3)–7x–3x+2=–8x–8 —> –8x+7x+3x=2+8 —> 2x=10 –> x= 10/2 –> x= 5

4)–8–x=x–4x —> –x–x+4x=8 —> 2X=8 —> x= 8/2 —> x= 4

5) –14+6b+7-2b=1+5b —> 5b +2b –6b = –14+7–1 —> b=–8

6) n+2=–14–n —> n+n=–14–2 —> 2n = –16 —> n = – 16/ 2 —> n = – 8

7) n – 3n = 14 –4n —> n –3n + 4n = 14 —> 2n = 14 —> n = 14/ 2 —> n = 7

8) 7a – 3 = 3 + 6a —> 7a – 6a = 3 + 3 —> a = 6

9) 3(1–3x ) =2(–4x+7) —> 3 –9x = –8x+14 —> 9x–8x = 3–14 —> x = –11

10) –10 +x+4–5 =7x –5 —> 7x–x = –10+4–5 +5 —> 6x = –6 —> x= –6/6 —> x = –1

11) –8n +4(1+5n)=–6n–14 —> –8n +4 + 20n = – 6n– 14

20n –8n +6n= –14 –4 —> 18n = – 18 —> n = –18/18 —> n = –1

12) –6n–20=–2n +4(1–3n) —> –6n –20 = – 2n +4 –12n —> 12n +2n –6n = 4 +20 —> 8n =24 —> n = 24/8 —> n =3

I hope I helped you^_^

Answer:

1.

6r + 7 = 13 +7r

6r - 7r = 13-7

-r = 6

r = 6

2.

13 - 4x = 1-x

-4x +x = 1 -13

-3x = -12

x = -12 / -3

x = 4

3.

-7x - 3x + 2 = -8x -8

-10x +2 = -8x -8

-10x +8x = -8 -2

-2x = -6

x = -6 / -2

x = 3

4.

-8 - x  = x- 4x

-8 - x  = -3x

-x + 3x = -8

2x = -8

x = -8 / 2

x = -4

5.

-14 + 6b + 7 -2b = 1 + 5b

-7 + 4b = 1 + 5b

4b - 5b = 1 + 7

-b = 8

b = -8

6.

n + 2 = -14 -n

n + n = -14 -2

2n = - 16

n = -16 / 2

n = -8

7.

n - 3n = 14 -4n

-2n = 14 - 4n

-2n +4n = 14

2n = 14

n = 14 /2

n = 7

8.

7a - 3 = 3 + 6a

7a - 6a = 3 +3

a = 6

9.

3 ( 1 - 3x ) = 2 (-4x + 7)

3 - 9x = -8x +14

-9x +8x  = 14 - 3

-x = 11

x = -11

10.

-10 + x + 4 - 5 = 7x - 5

-10 +x -1 = 7x - 5

-11 + x = 7x - 5

-11 + 5 = 7x -x

-6 = 6x

x = -6/6

x = -1

11.

-8n + 4 ( 1 + 5n ) = -6n -14

-8n + 4 + 20n = -6n -14

12n +4 = -6n -14

12n  + 6n = -14 -4

18n = -18

n = -18/18

n = -1

12.

-6n - 20 = -2n + 4 ( 1 - 3n)

-6n - 20 = -2n + 4 - 12n

-6n - 20 = -14n +4

-20 -4 = -14n +6n

-24 = 8n

n = -24/8

n = -3

Answer:

p=5/8

Step-by-step explanation:

you first have to work out the brackets

5p+7=3(4-p)

5p+7=12-3p

then you have to group the like terms

5p+3p=12-7

8p=5

8p/8=5/8

p=5/8

you can also live it as a decimal

I hope this helps

Answer: p = 5/8

Explanation:

⇒5p + 7 = 3(4 -p)

⇒5p + 7 = 12 - 3p

⇒5p + 3p = 12 - 7

⇒8p = 5

⇒p = 5/8

Must click thanks and mark brainliest

Answer:

quadratic trinomial

Step-by-step explanation:

(8x^2 + 3x) – (12x^2 - 1)

Distribute the minus sign

8x^2+3x-12x^2+1

Combine like terms

-4x^2+3x+1

This is a quadratic since the highest power of x is 2

This is a trinomial since there are 3 terms

The sequence or object patterns can be used to find exact values when the level of the pattern increases or decrease

The mathematical expression that connects the number of tiles and the grouping method is presented as follows;

tₙ = 9 + (n - 1)× 3

Reason:

Known parameter:

From the given diagram, we have that the number of green tiles = 18

Question: The missing parts of the question are;

Grouping method 1 having 15 green colored tiles with Figure size 3

We have;

Grouping method 1

The figure size number of the shape with 15 green colored tiles = 3

Grouping method 2, figure size 4

The figure size number of the shape with 18 green colored tiles = 4

By examination, we get;

The size number of the shape with 12 green colored tiles = 2

The size number of the shape with 9 green colored tiles = 1

Therefore the sequence is an arithmetic progression having the following characteristics;

nth term, tₙ = a + (n - 1)·d

The first term, a = 9

The common difference, d = 3

The mathematical expression that connects the grouping methods above, and gives the number of green tiles, tₙ, is tₙ = 9 + (n - 1)× 3

Where;

n = The grouping method number

For easy calculation;

The number of green tiles is given by the equation, tₙ = 9 + (n - 1)× 3

Learn more about number sequence here:

https://brainly.com/question/12474324

Answer:

196000 tiles.

Step-by-step explanation:

The 28 m is 2800 cm. So a 28 x 28 meter square would be 2800 x 2800 centimeter square.

The tiles are 40 cm.

If you divide 40 from (2800 x 2800). (2800 x 2800) ÷40 = 196000

So 196000 tiles.

I'm not entirely sure if that's correct, but if it helps that's awesome.

Answer:

A=b×h

A=13.8×6

A=82.8 in²

A≈83in²

Step-by-step explanation:

Answer:

Adrenaline: A stress hormone produced within the adrenal gland that quickens the heart beat, strengthens the force of the heart's contraction, and opens up the bronchioles in the lungs, among other effects. The secretion of adrenaline is part of the human 'fight or flight' response to fear, panic, or perceived threat.

Step-by-step explanation:

[tex]\\ \sf\longmapsto Area=\dfrac{1}{2}Base\times Height[/tex]

[tex]\\ \sf\longmapsto Area=\dfrac{1}{2}(18)(13.5)[/tex]

[tex]\\ \sf\longmapsto Area=9(13.5)[/tex]

[tex]\\ \sf\longmapsto Area=121.5cm^2[/tex]

Answer:

x < [tex]\frac{15-3a}{a-4}[/tex]; a > 4

a < [tex]\frac{4x+15}{x+3}[/tex]

Step-by-step explanation:

ax+3a < 4x + 15

ax - 4x < 15 - 3a

x( a -4) < 15 - 3a

x < [tex]\frac{15-3a}{a-4}[/tex]

ax + 3a < 5x + 15 -x

ax + 3a < 4x + 15

a( x + 3) < 4x + 15

a < [tex]\frac{4x+15}{x+3}[/tex]

Answer:

x <  (15 - 3a) / (a - 4). ( only true if a > 4)

a < (x + 15)/x

Step-by-step explanation:

a(x + 3) < 5x + 15 - x

ax + 3a < 5x + 15 - x

ax  - 5x + x < 15 - 3a

ax - 4x < 15 - 3a

x(a - 4) < 15 - 3a

Dividing both sides by (a - 4):

x <  (15 - 3a) / (a - 4)

a < (x + 15)/x

Answer:

x^2 +3x

Step-by-step explanation:

The outer rectangle has an area of

A = l*w = (4x)*(x+2) = 4x^2 +8x

The inner rectangle has an area of

A = (3x+5)*x = 3x^2 +5x

Subtract the inner rectangle from the outer rectangle

Shaded area = 4x^2 +8x - ( 3x^2 +5x)

Distribute the minus sign

                       =4x^2 +8x -  3x^2 -5x

Combine like terms

                       = x^2 +3x

Answer:

(x + 5)(x + 5)

Step-by-step explanation:

[tex]x^2+10x+25\\(x+5)(x+5)[/tex]

Answer:

(x+5)(x+5)

Step-by-step explanation:

x²+10x+25

x²+5x+5x+25    

x(x+5)+5(x+5)            

(x+5)(x+5)

These following ordered pairs are on the graph:

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

An ordered pair (x, f(x)) will be on the graph if replacing them into the equation, we get an equivalence.

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

The equation is:

[tex]f(x) = x^2 - 1[/tex]

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

(0,1)

Here, we test [tex]x = 0, f(x) = 1[/tex]

Replacing into the equation:

[tex]1 = 0^2 - 1[/tex]

[tex]1 = -1[/tex]

False, so not on the graph.

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

(0,1)

Here, we test [tex]x = 1, f(x) = 0[/tex]

Replacing into the equation:

[tex]0 = 1^2 - 1[/tex]

[tex]0 = 0[/tex]

True, so on the graph.

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

(3,5)

Here, we test [tex]x = 3, f(x) = 5[/tex]

Replacing into the equation:

[tex]5 = 3^2 - 1[/tex]

[tex]5 = 8[/tex]

False, so not on the graph.

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

(5,24)

Here, we test [tex]x = 5, f(x) = 24[/tex]

Replacing into the equation:

[tex]24 = 5^2 - 1[/tex]

[tex]24 = 24[/tex]

True, so on the graph.

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

(-2,3)

Here, we test [tex]x = -2, f(x) = 3[/tex]

Replacing into the equation:

[tex]3 = (-2)^2 - 1[/tex]

[tex]3 = 3[/tex]

True, so on the graph.

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

(-4,-17)

Here, we test [tex]x = -4, f(x) = -17[/tex]

Replacing into the equation:

[tex]-17 = (-4)^2 - 1[/tex]

[tex]-17 = 15[/tex]

False, so not on the graph.

A similar question is given at https://brainly.com/question/2102317

(x + 1/x)² = x ² + 2 + 1/x ² = 10 + 2 = 12

==>   x + 1/x = ±√12

Answer:

a is the correct answer for f(x