What is the solution to the system of equation above?

Answer:

lenth = x= 12cm

Breadth = y = 8cm

Step-by-step explanation:

Given :

The length of a rectangle is 4 cm more than its width

The area of the rectangle is 96 cm²

To Find :

Width of the rectangle.

Solution :

Let the length of the rectangle be x cm.

Let the breadth of the rectangle be y cm.

Case 1:

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Case 2 :

We have the formula for area of the rectangle as follows :

Where,

l = length → x cm

b = breadth → y cm.

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Substitute, x = 96/y in equation 1,

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Divide by minus sign,

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As per assumption, y = breadth of the rectangle.

•°• y = -12 is not acceptable.

Substitute, y = 8 in equation 1,

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Answer:

[tex]a=12\text{ or } -4[/tex]

Step-by-step explanation:

The distance formula is given by:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2[/tex]

We are given the two points (4, -1) and (a, 5). The distance between them is 10.

Let (4, -1) be (x₁, y₁) and let (a, 5) be (x₂, y₂). Substitute:

[tex]10=\sqrt{(a-4)^2+(5-(-1))^2}[/tex]

Solve for a. Square both sides and simplify:

[tex]100=(a-4)^2+(6)^2[/tex]

Simplify:

[tex]64=(a-4)^2[/tex]

Take the square root of both sides. Since we are taking an even root, we will need plus/minus. Hence:

[tex]\pm\sqrt{64}=\pm8=a-4[/tex]

Solve for a:

[tex]a-4=8\Rightarrow a=12\text{ or } a-4=-8\Rightarrow a=-4[/tex]

So, our two possible points are (12, 5) or (-4, 5).

Answer:

Uh, sure! :)

Step-by-step explanation:

Answer:

Lines of latitude run in horizontal parallels and represent distance north or south from the equator, measured in an angle from the centre of the Earth. The equator represents 0° and each pole represents 90°

Step-by-step explanation:

Answer: Hope This Helps!

Step-by-step explanation:

Use the sight line on the top of the aiming beam to align the beam with the North Star. Use the protractor to measure the angle between the beam and the horizon (which is 90º to the plumb line). This angle is your latitude.

Answer:

[tex]Sin A = \frac{a}{c}\\\\Cos A = \frac{b}{c} \\\\Tan A = \frac{a}{b} \\\\\\Sin B = \frac{b}{c} \\\\Cos B = \frac{a}{c}\\\\Tan B =\frac{b}{a}[/tex]

Formulas

[tex]Sin\theta = \frac{Opposite}{Hypotenuse}\\\\Cos\theta = \frac{Adjacent}{Hypotenuse} \\\\Tan \theta =\frac{Opposite}{Adjacent}[/tex]

Answer:

False

Step-by-step explanation: 5x3 is 15 and 25 is greater than 15 so the inequality is false.

The correct coordinates are A'(-1,3) and C'(6,-1)

From the given figure, we have the coordinates ABCDE under the translation (x, y) + (x - 2, y - 3)

Given the following coordinate points (1, 6), B(6, 6), C(8, 2), D(4, -2) and E(-2, -5). The resulting coordinate after transformation will be:

Hence the correct coordinates are A'(-1,3) and C'(6,-1)

Learn more on translation here: https://brainly.com/question/12861087

Answer:

25.16 grams

Step-by-step explanation:

Amount Alan should pour more = Amount he wants to pour - amount he has poured

90.26 - 65.10 = 25.16 grams

Answer:

≈ 2,826 cm^3

Step-by-step explanation:

V = πr^2h

V = 3.14 · 10^2 · 9

V = 3.14 · 100 · 9

V = 314 · 9

V = 2,826

Answer:

Roots of the function are x = 2, 5.

Step-by-step explanation:

Roots of a function are defined by the x-intercepts of the graph.

From the given graph in the question,

x-intercepts → x = 2, 5

Now confirm it by solving the equation algebraically,

x² - 7x + 10 = 0

x² - 5x - 2x + 10 = 0

x(x - 5) - 2(x - 5) = 0

(x - 5)(x - 2) = 0

x = 2, 5

Therefore, roots of the function are x = 2, 5.

Answer:Right

Step-by-step explanation:for sure

Answer:

Step-by-step explanation:

this is math or physics

Answer:

brainliest please, sorry for the inconveniences

Answer: [tex]x=-21, y=-33[/tex]

[tex]x-y=12,\\18x-12y=18 ( divide by 6)\\3x-2y=3, 2nd Eq.\\multiply- first -equation by 2\\\\2x-2y=24, 1st Eq.\\subtract-the- second -equation- from -first\\2x-3x=24-3,\\-x=21 or x=-21,\\\\substitute-the-value-of -x\\-21-y=12,\\y=-21-12= -33\\[/tex]

Step-by-step explanation:

Answer: See explanation

Step-by-step explanation:

a. The revenue function.

The revenue function will be:

= 90 × x

= 90x

b. Profit function

This will be:

= Revenue - Cost

= 90x - (1500 + 10x + 0.2x²)

= 90x - 1500 - 10x - 0.2x²

= 90x - 10x - 1500 - 0.2x²

= 80x - 1500 - 0.2x²

c. The number of Jerseys that Gymnast Clothing manufacture to make a profit

80x - 1500 - 0.2x²

0.2x² - 80x + 1500 = 0

Solving using almighty formula, x will be 20. Therefore, 20 jerseys need to be produced to make a profit.

Answer:

total angle is 90°

x +15° = 90°

x = 75°

Answer:

Its b , 75 degrees

Step-by-step explanation:

Answer:

-20 because it's 5-1=4-3=1-5=-4-7=-11-9=-20

Answer:

-59

Step-by-step explanation:

It's subtracting each number by the next ODD number

subtract 1

subtract 3

then 5, 7, 9 and so on

Answer:

252, 253, 254

Step-by-step explanation:

[tex] \frac{759}{3} \\ = 253[/tex]

253 is the median. so the multiples will be 252, 253, 254

Answer:

I speak english srry

Step-by-step explanation:

Answer:

Step-by-step explanation:

a^2 + b^2=c^2  so 81 + 9= 90 c= Square root of 90 which is 9.5.

Answer:

48 m^2

Step-by-step explanation:

Since this is a parallelogram, you can think of it as taking the triangle off of the left side and reattaching it on the right side to make a rectangle. After you visualize it as a rectangle, you just have to multiply 8 by 6 to get 48 meters squared.

Answer:

51

Step-by-step explanation:

In an isosceles trapezoid, the two top angles are congruent and the two bottom angles are congruent

∠D and ∠G are angles that are both on top

Hence ∠D ≅ ∠G

Which means that because ∠D = 51°. ∠G also = 51°

Answer:

Semicircle

Step-by-step explanation:

As we can see, the arc is bounded by the chord MO

since the chord passes through the center of the circle, we have it that the chord is a diameter

Mathematically, an arc bounded by a diameter represents half of a circle

So we can conclude that the arc MNO in circle C is a semicircle

Answer:�

y=7(2)^x

Step-by-step explanation:

Answer:

745,000

Step-by-step explanation:

200,000x.03= 6000

150,000x.025=3,750

Commission.    2,350

total.                12,100

total fees.            20,000

less above.           12,100

=.remaining fees    7,900

divide by .02(2% commission)

=remaining sales price 395,000

tier 1 200000

tier 2 150000

tier 3 395,000 (calculated above)

=.       745,000 sales price