Part of a bridge spans a river 35 metres wide. One third of the length of the bridge is on one side of the river and 20% of the length of the bridge is on the other side.

The equation of the line is [tex]y=8[/tex]

To get the required equation, use the general form of the equation of a line having a gradient [tex]m[/tex], and passing through a point [tex](x_0,y_0)[/tex]

[tex]y-y_0=m(x-x_0)[/tex]

For our problem, the line has [tex]0[/tex] gradient, and passes through the point [tex](4,8)[/tex]

substituting the required values, we have

[tex]y-y_0=m(x-x_0)\\y-8=0(x-4)\\y-8=0\\y=8[/tex]

The required equation is [tex]y=8[/tex]

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Answer:

width=4in.

length=13in

Step-by-step explanation:

let the width of the rectangle be x

then the length will be x+9

Area= length×width

52= (x+9)x

52= x²+9x

x²+9x-52=0

x²+13x-4x-52=0

x(x+13) - 4(x+13)= 0

(x-4)(x+13)=0

x=4 or -13

dimension cannot be negative

hence x=4in

the width is 4in. and the length is 4+9=13in.

The solution is, width=4in.

length=13in

Area is the measure of a region's size on a surface. The area of a plane region or plane area refers to the area of a shape or planar lamina, while surface area refers to the area of an open surface or the boundary of a three-dimensional object.

here, we have,

The area of a rectangle is 52 in^2.

If the length is 9 inches more than the width.

let the width of the rectangle be x

then the length will be x+9

Area= length×width

so, we have,

52= (x+9)x

52= x²+9x

x²+9x-52=0

x²+13x-4x-52=0

x(x+13) - 4(x+13)= 0

(x-4)(x+13)=0

x=4 or -13

dimension cannot be negative

hence x=4in

so, we get,

the width is 4in. and the length is 4+9=13in.

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Answer: Less likely since the number of cyan is quite lower or the lowest in comparison of magenta and yellow.

Answer:

7/21 or 1/3

Step-by-step explanation:

Adding all the animals together, we get 21. Then we add just the cows and the goats and get 7. Then we do 7/21 = 1/3 simplified

Answer:

the number of drinks purchased

Step-by-step explanation:

Answer:

2, the number of drinks purchased.

Step-by-step explanation:

one drink costs $3, and since Sarah is going to the food truck with her friends, she needs to buy more than one drink. So, it would be 3 · y, y being the number of drinks she needs to buy.

Answer:

I FOUND IT ACTUALY    22.857 lacs   $2,285,714

Step-by-step explanation:

do the formula

is/of = %/100

[tex]\frac{17.5}{100} = \frac{4}{x}[/tex]

100*4=400

400/17.5=22.857

Answer:

Total worth of assets of the man = 22.86 lacs

Step-by-step explanation:

Let the man's assets = 100%

Given to the wife = 50%, so leftover 50%

From it given to 4 sons = 15%, so leftover 35%

From it given equally to 2 daughters, so each daughter gets 35% / 2 = 17.5%

17.5% = 4 lacs

100% = 4 x (100/17.5) = 22.8571

Round off to 2nd decimal place = 22.86 lacs

Answer:

30

Step-by-step explanation:

Pythagorean theorem states that a^2 + b^2 = c^2

this theorem only works on triangles with an angle of 90 degrees or a right triangle.

18^2 + 24^2 = 900

the square root of 900 is 30

I did the square root of 900 because the square root is the 'opposite' of squaring which is what you need to do in order to find 'c' is the Pythagorean theorem. 'a' is 18, and 'b' is 24

Answer is 30

Answer:

Step-by-step explanation:

Apparently, the values in the table are the products of the terms on the left and the terms on the bottom.

  (Blank 1) × 1 = 1   ⇒   (Blank 1) = 1

  (Blank 2) × 8x = 16x²   ⇒   (Blank 2) = 16x²/(8x) = 2x

  (Blank 3) = (Blank 1) × (Blank 2)   ⇒   (Blank 3) = 1 × 2x = 2x

  (Blank 4) = 8x × 1 = 8x

Answer:

1. 1

2. 2x

3. 2x

4. 8x

Step-by-step explanation:

Answer:

A 16. B 20). C 40 ... 40' 60'| 80. 20 20 20. 2 7 14a. 40 140|| 280'|. BX Hours. Earnings ($).

Step-by-step explanation:

Therefore, the above answer is correct.

Hoped this helped.

[tex]BrainiacUser1357[/tex]

Adding both of the polynomial equations we get [tex]x^2+y^2+4x+4[/tex].

A polynomial equation exists an equation where a polynomial exists set equivalent to zero. i.e., it exists an equation constructed with variables, non-negative integer exponents, and coefficients together with operations and an equal sign. It includes different exponents. The highest one demonstrates the degree of the equation.

Given: [tex]x^2 + 2x + 1[/tex] and [tex]y^2 + 2x + 3.[/tex]

Adding both of these two equations, then we get

[tex]x^2+2x+1+y^2+2x+3[/tex]

Group like terms

[tex]=x^2+y^2+2x+2x+3+1[/tex]

Add similar elements [tex]x^2+y^2+4x+4[/tex]

Adding both of the polynomial equations we get [tex]x^2+y^2+4x+4[/tex].

Therefore, the correct answer is [tex]x^2+y^2+4x+4[/tex].

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Answer:

76.90%

Step-by-step explanation:

100/1299*999= 76.9053117783 - 100 = -23.0946882217

Answer:

62.96%

Step-by-step explanation:

do this

51/81 ×100%

Answer:62.953%

Step-by-step explanation:

81 * (%) = 51

% = 51 / 81

% = 62.953

Answer:

the answer is 9

Step-by-step explanation:

Answer:

x = 5.

Sorry if you didn't mean find x and I have no idea about the inequality stuff.

Step-by-step explanation:

We can do a reverse equation in steps. So the first thing we'll do is..

49 - 9 which equals 40.

Then we should do a division since the opposite of multiplication is division.

40 divided by 8 = 5.

To check that we do 5 x 8 = 40 + 9.

Hope that helps. x

Answer:

See below

Step-by-step explanation:

9 + 8x [tex]\geq[/tex] 49

Subtract 9 from both sides

8x [tex]\geq[/tex] 40

Divide by 8

x [tex]\geq[/tex] 5

Answer:

The gear ratio is 36 to 12 however it can be simplified to a 6-2 gear ratio.

Answer:

answer was 3

Step-by-step explanation:

just did the test

Answer:

15

Step-by-step explanation:

To solve this question we will be using BIDMAS.

This stands for, Brackets, indices, division, multiplication, addition and subtraction.

As brackets is first, we need to do 5+4, to get 9.

This gives us 26-9-20 divide 4

Next is division so we do 20 divide by 4, to get 5.

This gives us 29-9-5

So now we subtract 9 from 29 to get 20, and 5 from 20 to get 15, which is our final answer.

Answer:

B) Likely

Step-by-step explanation:

Unlikely = < 50%

Likely = > 50%

Certain = 100%

Equally likely = 50%

Step-by-step explanation:

an object and its shadow create a right-angled triangle.

2 objects and their shadows at the same time create therefore two similar right-angled triangular

triangles.

that means the angles are the same, and each side length of one triangle correlates to the corresponding side length of the other triangle by the same factor.

so, when we know the factor of one pair of sides, we can calculate the lengths of the others by using the same factor.

therefore,

1.57 × f = 50.5

f = 50.5 / 1.57 = 32.1656051...

the height of the tower is then

3.1 × f = 3.1 × 32.1656051... = 99.7133758... m ≈ 100 m

Answer:

okokok

Step-by-step explanation:

Answer:

a. R>S

b. It means that R is to the right of S

c. City R is warmer

Step-by-step explanation:

Answer:

1/2

Step-by-step explanation:

12 / 24 = 1/2

Answer:

12/24

Step-by-step explanation:

use the stander rise over run since the rise is 12 it goes over the run which is 24