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Given:

The area model.

To find:

The area as a sum and area as a product.

Solution:

The four terms of the area model are [tex]2x^2,10x, 3x, 15[/tex].

The area as a sum is the sum of all the terms of given area model.

Area as a sum = [tex]2x^2+10x+3x+15[/tex]

                        = [tex]2x^2+13x+15[/tex]

The area as a product is the factor form of sum of all the terms of given area model.

Area as a product = [tex]2x^2+10x+3x+15[/tex]

                        = [tex]2x(x+5)+3(x+5)[/tex]

                        = [tex](x+5)(2x+3)[/tex]

Therefore, the area as a sum is [tex]2x^2+13x+15[/tex] and the area as a product is [tex](x+5)(2x+3)[/tex].

Answer:

(-3/2, -1) and (4, 10)

Step-by-step explanation:

Given the simultaneous equations

y = 2x^2 – 3x - 10 ... 1

2x - y = -2 .... 2

From equation2;

-y = -2-2x

y = 2x+2 ..... 3

Substitute 3 into 1

Recall y = 2x^2 – 3x - 10

2x+2 = 2x^2 – 3x - 10

Collect like terms

2x^2 – 3x - 10 - 2x -2 = 0

2x^2 – 5x - 12 = 0

2x^2 – 8x+3x - 12 = 0

2x(x-4)+3(x-4) = 0

(2x+3)(x-4) = 0

2x+3 = 0 and x-4 = 0

2x = -3 and x = 4

x = -3/2 and x = 4

Recall that

y = 2x+2

when x = -3/2

y = 2(-3/2) + 2

y = -3+2

y = -1

when x = 4

y  = 2(4)+2

y = 8+2

y = 10

Hence the solutions are (-3/2, -1) and (4, 10)

Answer:

y> -1

Step-by-step explanation:

2(5y-7) > -24

Then use the Distributive Property which then eqauls to this: 10y - 14 > -24

add 14 to both sides: 10y > -10

divide by 10: y> -1

Answer:

0.088

22x4 is 88 and add the 2 zeros

Step-by-step explanation:

Answer:

0.088.

Step-by-step explanation:

0.22 * 0.4

Now 22 * 4 = 88 and

there are 3 numbers after the decimal points in 0.22 and 0.4 so there has to be 3 numbers after the decimal point in the answer, so it's:

0.088.

Answer:

no

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]step - 1 : define[/tex]

[tex](x + 8)( x + 13) = 234[/tex]

[tex]step - 2 : slove[/tex]

[tex] \therefore \: x = 5 \\ and \: the\: lenth \: of \: the \: rectangle \: is \: 5 + 8 = 13[/tex]

Answer:

y=2/3+11

Step-by-step explanation:

Answer:

70.4metres

Step-by-step explanation:

Wheel Diameter = 0.7m

Wheel Radius; 0.7m / 2 = 0.35m

For one rotation of the wheel, the distance travelled = circumference of the wheel.

Circumference = 2 x pi x radius

= 2 × π × r

= 2 × π × 0.35

= 2.1991148575 m

Elaine tries to ride the unicycle and manages to go in a straight line for 32 full revolutions

Distance travelled with 32 full revolutions of the wheel = 32 x 2.1991148575 m =

Distance in meters = 70.37167544m

Approximately = 70.4m

Therefore, Elaine managed to cycle 70.4metres

Answer:

A reflection over line F

Step-by-step explanation:

I don't know the last answer, but I think that this is correct.

Answer:

2,  PEMDAS means parentheses, exponents, multiplication, division, addition, and subtraction.

Step-by-step explanation:

Answer:

2x

Step-by-step explanation:

Answer:

2x (x + 4)

Step-by-step explanation:

Answer:

This system has no solutions

Step-by-step explanation:

y=2x-9,

y=-2x+15

by substitution:

2x - 9 = 2x + 15

2x - 2x = 15 + 9

0 ≠ 24

This system has no solutions

Answer:

Step-by-step explanation:

Factor x2 +8x +16, so (x+4)2 = 100

Creo que la respuesta es 880.2N. Para calcular el peso se utiliza la siguiente fórmula (m×g) (masa multiplicada por la gravedad). El valor de aceleración de la gravedad en la tierra es de 9.78m/s². Por lo que la operación final sería 90×9.78= 880.2Newtons

Answer:

Hey we go to the same schoola and have the same class so thats cool. Also i think it might be the reverse of what we did on question five where we divide the measure of the arc by two instead of multiplying the angle by two to get the arc. If this is true then our answer will be 49*

Step-by-step explanation:

Answer:

$4.57. Hope this helps :)

Step-by-step explanation:

20+5=25      

then you do

25-3.67= $21.33

you then divide that by the number of pounds she bought.

21.33/4= 5.3325

round that to the hundreths place and you get $5.33

so she paid $5.33 for a pound

Answer:

$4.74 per pound

Step-by-step explanation:

((20 + 5) – 3.67) / 4.5 = (25 – 3.67) / 4.5 =

(21.33) / 4.5 = 4.74

_______________________________

I've seen this same problem before, it should be 4.5 pounds.

Answer:

1st term= 8 2nd term=6 3rd term=4 4th term=2 5th term=0 6th term=-2 7th term=-4 8th term=-6 9th term=-8 10th term=-10

Step-by-step explanation:

hope this helps

Answer:

y = x(0.083913)

Step-by-step explanation:

easy

hey timmy

Answer:

56

Step-by-step explanation:

Simplifying

x + 7x = 56 + 8

Combine like terms: x + 7x = 8x

8x = 56 + 8

Combine like terms: 56 + 8 = 64

8x = 64

Solving

8x = 64

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Divide each side by '8'.

x = 8

Simplifying

x = 8

Answer:

D

Step-by-step explanation:

I got it right on the assignment

Step-by-step explanation:

tan30° = Opposite/Adjacent = 3/x.

=> 3/x = √3/3, x = 3√3 = 5.2.

sin30° = Opposite/Hypotenuse = 3/y.

=> 3/y = 1/2, y = 6.

The correct answer is the 1st and 3rd options.

Answer:

[tex] \huge \boxed{ \boxed{ \sf \: x = 5.2 \atop\sf y = 6}}[/tex]

Step-by-step explanation:

according to the question

[tex] \tan( {30}^{o} ) = \frac{3}{x} [/tex]

[tex] \frac{ \sqrt{3} }{3} = \frac{3}{x} \\ x\sqrt{3} = 9 \\ x = \frac{9}{ \sqrt{3} } \\ x = 3\sqrt{3} \\ x = 5.2[/tex]

according to the question

[tex] \sin( {30}^{o} ) = \frac{3}{y} [/tex]

[tex] \frac{1}{2} = \frac{3}{y} [/tex]

[tex]y = 6[/tex]

Answer:

50+0+0+0

Step-by-step explanation:

50+0+0+0 is the answer

Answer:

4

(+, -) coordinates

Answer:

Chris gets £3000

Step-by-step explanation:

A : B : C

1 : 3 : 4 = 8 (add all the parts together)

£6000 ÷ 8 = 750

so the multiplier is x 750

1 : 3 : 4

↩ x 750

750 : 2250 : 3000

Chris gets £3000