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3 years ago

Help with number 10.

Mathematics

1 answer:

WITCHER [35]3 years ago

3 0

The right answer is Option B.

Step-by-step explanation:

Given system of equations is;

7x-10y=12

8y-x=11

The first step in elimination method is to make one of the variables same to eliminate it, but in this case, we will first rewrite the equations so that alike variables are in same order.

Therefore,

First step is rewrite the equations so like variables are in the same order.

The right answer is Option B.

Keywords: linear equation, elimination method

Learn more about elimination method at:

#LearnwithBrainly

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The real number 7/12 belongs to which set of numbers

IRISSAK [1]

Rational numbers.
Please give brainliest and have a great day!

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3 years ago

What two variables are used most often in 2-variable equations?

MAXImum [283]

I believe it is x and y

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3 years ago

What is one of the solutions to the following system of equations?

Amanda [17]

Answer:

(8,-1)

Step-by-step explanation:

Given : $x^{2} +y^{2} =65$

$x+y=7$

To Find: solution of given system of equations.

Solution:

Equation a : $x^{2} +y^{2} =65$

Equation b : $x+y=7$

Substitute the value of y from equation b in equation a

y from equation b : y = 7-x

Now substitute value of y in equation a

Thus equation a becomes:

$x^{2} +(7-x)^{2} =65$

$x^{2} +49+x^{2}-14x =65$

$2x^{2} -14x =65-49$

$x^{2} -7x -8=0$

$x^{2} -8x+x -8=0$

$x(x-8)+1(x-8)=0$

$(x+1)(x-8)=0$

⇒ x= -1 and x = 8

Now substitute values of x in equation b to obtains values of y

⇒ $x+y=7$

for x = -1

⇒ $-1+y=7$

⇒ $y=7+1$

⇒ $y=8$

Thus (x,y)=(-1,8)

For x =8

⇒ $8+y=7$

⇒ $y=7-8$

⇒ $y=-1$

Thus (x,y)=(8,-1)

Hence Option A is the correct solution .

6 0

3 years ago

Read 2 more answers

How can using equivalent ratios help you operate a business?

never [62]

Hi there

Using equivalent ratios to help operate a business is useful for financial ratios.
There are common size ratios, liquidity ratios, efficiency ratios, and solvency ratios.

Ratios are used to let us compare one item to another. (For example, comparing 1 teacher to 25 students, or 1:25)

Did you have any answers to chose from? I just figured I'd provide you with what I knew about this subject to help in case there were no options to chose from.

4 0

3 years ago

Set up (do not evaluate) the integral which gives the volume when region bounded by curves y=Ln(x), y=2, and x=1 is revolved aro

ladessa [460]

Step-by-step explanation:

Graph the region: desmos.com/calculator/rbe6rq61a2

When the region is rotated about y=-2, the resulting shape is a horizontal, hollow cylinder. The volume can be found with either washer method or shell method.

To use washer method, cut a thin vertical slice of the region. Rotated around y=-2, this slice becomes a washer. The width of this washer is dx. The outer radius is 2 − (-2) = 4. The inner radius is y − (-2) = y + 2. The volume of the washer is:

dV = π (4² − (y + 2)²) dx

dV = π (4² − (ln x + 2)²) dx

The total volume is the sum of the washers from x=1 to x=e².

V = ∫ dV

V = ∫₁ᵉ² π (4² − (ln x + 2)²) dx

To instead use shell method, cut a thin horizontal slice of the region. Rotated around y=-2, this slice becomes a cylindrical shell. The thickness of the shell is dy. The radius is y − (-2) = y + 2. The width is x − 1. The volume of the shell is:

dV = 2π (y + 2) (x − 1) dy

dV = 2π (y + 2) (eʸ − 1) dy

The total volume is the sum of the shells from y=0 to y=2.

V = ∫ dV

V = ∫₀² 2π (y + 2) (eʸ − 1) dy

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3 years ago