What is the first step to solve the following system of equations using substitution?
ſ 3.x+y= 15
5x – 3y = 11

Answer:

19 is the answer .......explanation is in image.

Answer:

Step-by-step explanation:

Answer:

15x²6y² .................

The product of the expression is [tex](3 x 5) x^5y^2[/tex]

We have,

(3x³y) (5x²y)

Now,

Finding the product of the expression.

We add up the exponents of the same base.

[tex]x^3x^2 = x^{3 + 2} = x^5\\yy = y^{1 + 1} = y^2[/tex]

And,

(3x³y) (5x²y)

[tex]= (3 x 5) x^5y^2[/tex]

Thus,

The product of the expression is [tex](3 x 5) x^5y^2[/tex]

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Answer:

When the lines are parallel, there are no solutions, and sometimes the two equations will graph as the same line, in which case we have an infinite number of solutions.

Step-by-step explanation:

Answer:

The answer would be 0.64285714285

Step-by-step explanation:

You just add both of the fractions you showed above

Answer:

14,96

Step-by-step explanation:

Answer:

-x^2-2x+5

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Both triangles have three angles of the same value.

Remember that the angles in all triangles add up to 180°.

Let's use that to find out the unknown angles.

For the first triangle:

180 - 82 - 43 = 55°

55° is also in the second triangle.

Let's check with the second triangle:

180 - 82 - 55 = 43°

43° is also in the first triangle.

Therefore, both triangles are similar as the angles in both triangles are the same - 82°, 43° and 55°.

Hence, C.

Answer:

x=14/5, y=-36/5. (14/5, -36/5).

Step-by-step explanation:

x+4y=-26

-5x=-14

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

5x=14

x=14/5

14/5+4y=-26

4y=-26-14/5

4y=-130/5-14/5

4y=-144/5

y=(-144/5)/4

y=(-144/5)(1/4)

y=-144/20

simplify

y=-36/5

Revenue expenditure refers to those expenditures which are incurred during normal business operation by the company, benefit of which will be received in the same period and the example of which includes rent expenses, utility expenses, salary expenses, insurance expenses, commission expenses, manufacturing expenses, legal expenses, postage and printing expenses, etc.

Answer:

B 5 meters per second

Step-by-step explanation:

Pick two points on the graph, and find the slope.

For example, you can use the points

(0, 8500) and (1700, 0)

slope = (difference in y)/(difference in x)

slope = (0 - 8500)/(1700 - 0) = -8500/1700 = -5

The slope is negative because the plane was losing altitude as it descended.

It descended at a rate of 5 meters per second.

Answer: B 5 meters per second

Answer:

B. 5 meters per second

Step-by-step explanation:

slope=8500÷1700=5

Plane descended at the rate of 5 meters per second.

hope it helps

have a great day!!

Answer:

3.25%

Step-by-step explanation:

The formula for simple interest is I = PRT, where I = interest earned/paid, P = principal amount deposited or borrowed, R = rate of interest as a decimal, and T = time in years.

I = PRT

585 = (4000)(r)(4.5)

585 = 18,000r

r = 0.0325

Multiply by 100 to get the percentage

0.0325 = 3.25%

Answer:

Answer and steps in picture.

Answer:

8.01 Is the answer your welcome

Answer:

3

Step-by-step explanation:

If r=2, that means that each term in the geometric sequence is multiplied by 2.

So, if r=2, and the sixth term in the sequence is 96, then simply divide by 2 until you get to the first term.

Which is 3.

Answer:

1759.52cm^3

Step-by-step explanation:

Given data

Cylinder E

h = 30 cm and

r = 4 cm

The expression for the volume is

V= πr^2h

V= 3.142*4^2*30

V= 3.142*16*30

V=1508.16 cm^3

Cylinder F

h=5 cm

r = 4 cm

The expression for the volume is

V= πr^2h

V= 3.142*4^2*5

V= 3.142*16*5

V=251.36 cm^3

Hence the total volume is

=251.36+1508.16

= 1759.52cm^3

Answer:

a) [tex]y = -\frac{2}{3}x + \frac{5}{6}[/tex]

b) [tex]y = 2x - \frac{1}{2}[/tex]

These two paths are not perpendicular to each other.

Step-by-step explanation:

Equation of a line:

The equation of a line has the following format:

[tex]y = mx + b[/tex]

In which m is the slope of the line and b is the y-intercept.

If two lines are perpendicular, the multiplication of their slopes is -1.

(a) the engineering lab and the computer center

Coordinates (3.5,-1.5) and (0.5,0.5)

The slope is given by the change in y divided by the change in x.

Change in y: 0.5 - (-1.5) = 0.5 + 1.5 = 2

Change in x: 0.5 - 3.5 = -3

Slope: [tex]m = \frac{2}{-3} = -\frac{2}{3}[/tex]

So

[tex]y = -\frac{2}{3}x + b[/tex]

Now, to find the y-intercept, we replace one of these points into the equation.

(0.5,0.5) means that when [tex]x = 0.5 = \frac{1}{2}, y = 0.5 = \frac{1}{2}[/tex]

So

[tex]y = -\frac{2}{3}x + b[/tex]

[tex]0.5 = -\frac{2}{3}(0.5) + b[/tex]

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

[tex]b = \frac{5}{6}[/tex]

So

[tex]y = -\frac{2}{3}x + \frac{5}{6}[/tex]

(b) the engineering lab with the library.

(0.5,0.5) and (-1,-2.5).

First, we find the slope:

Change in y:-2.5 - 0.5 = -3

Change in x: -1 - 0.5 = -1.5

The slope is: [tex]m = \frac{-3}{-1.5} = 2[/tex]

So [tex]y = 2x + b[/tex]

Now we find b

[tex]y = 2x + b[/tex]

[tex]0.5 = 2(0.5) + b[/tex]

[tex]b = -0.5 = -\frac{1}{2}[/tex]

So

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

The multiplication of their slopes, is

[tex]2*\frac{-2}{3} = -\frac{4}{3}[/tex]

Since it is different of one, these paths are not perpendicular to each other.

Answer:

length = 22, width = 9

step by step explanation :

perimeter = 62

length = 3×width -5

∴ 2 ( length + width ) = perimeter

2 ( 3w-5 + w ) = 62

3w -5 + w = 62/2 = 31

3w -5 + w = 31

4w  = 31 + 5 = 36

4w = 36

 w =36/4

 w = 9

l= 3w-5 = (3×9)-5 = 27-5= 22

verifying -

2( l + b) = perimeter

2 ( 22 + 9 ) = 2 * 31 = 62

hope this answer helps you....

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Answer: 4

Explanation:

2/3 x 6 = 2/3 x 6/1 = 12/3 = 4

I hope this helped!

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Answer:

no solution

Step-by-step explanation:

|x-33| = -33

An absolute value must be greater than or equal to zero

The right hand side is a negative number.

There is no solution

Answer:

No solution

Step-by-step explanation:

When you do the absolute value, it is equal to a negative number. Which does not make sense so no solution

Answer:

Step-by-step explanation:

Answer: look at the picture

Step-by-step explanation: Hope this help :)

Answer:

Can't help you in this Question

Answer:

See explanation

Step-by-step explanation:

cos(θ)= 18/30 = 3/5

sin(θ)= 24/30 = 4/5

tan(θ)= 24/18 = 4/3

cos(ϕ)= 24/30 = 4/5

sin(ϕ)= 18/30 = 3/5

tan(ϕ)= 18/24 = 3/4

The value of the trigonometric ratios have been determined.

In a Right angled triangle , the trigonometric ratios are used to determine the value of angles and sides.

The side length of the triangle as given in the figure is 18 , 24 , 30

The value of the trigonometric ratios are

cos θ = Base / Hypotenuse

sin θ =  Perpendicular / hypotenuse

tan θ =  Perpendicular / Base

cos(θ)= 18/30 = 3/5

sin(θ)= 24/30 = 4/5

tan(θ)= 24/18 = 4/3

cos(ϕ)= 24/30 = 4/5

sin(ϕ)= 18/30 = 3/5

tan(ϕ)= 18/24 = 3/4

Therefore the value of the trigonometric ratios have been determined.

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Answer:

pentagon

Step-by-step explanation:

9514 1404 393

Answer:

  x ≥ -8

Step-by-step explanation:

The absolute value does nothing when its argument is non-negative.

  x +8 ≥ 0

  x ≥ -8 . . . . . . . subtract 8 from both sides