What is the area of the composite shape?

The solution of equations is x=3 ,y=1

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

Given;

x=3y

2x+4y=10

Substitute the first equation into the second one

2(3y)+4y=10

6y+4y=10

10y=10

Y=1

Place the answer for Y into the first equation

X=3(1)

X=3

Therefore; the value of x and y of equations will be 3 and 1

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Answer:

chemicals

Step-by-step explanation: everything we see and touch is made up of a mixture of chemicals

Answer:

aₙ = aₙ₋₁ + aₙ₋₂

where:

a₁ = 6

a₂= 1.

Step-by-step explanation:

We have the sequence:

6, 1, 7, 8, 15, 23, ...

Is easy to see that this sequence works as follows:

You take 2 consecutive numbers, and the next number is the sum of these two.

Then we have:

6 + 1 = 7

1 + 7 = 8

7 + 8 = 15

8 + 15 = 23

Then the n-th term is equal to the sum of the (n - 1) term and the (n - 2) term.

This is written as:

aₙ = aₙ₋₁ + aₙ₋₂

Because in the recursive rule needs two previous terms, we need to specify  the two first terms of the sequence.

Then we need to write also:

a₁ = 6

a₂= 1.

Answer:

55

Step-by-step explanation:

g(-4)=-20-5 or -25

f(g(4)=-2(-25)+5 or 50+5

Answer:

2/16

simplest form:1/8

Step-by-step explanation:

2/16

simplest form:1/8

There are 16 boys in all so 16 will be your denominator and there are to boys absent so your numerator

2/16

Then simplify by dividing 2/2

1/8

Greetings I am BrotherEye

Answer: How find the volume of a triangular pyramid?

Triangular pyramid volume formula

In words: the volume of a triangular pyramid is one-third of the product of the base area and the pyramid's height

Step-by-step explanation:

Now in mathematical terms Use the formula for the volume of a triangular pyramid: V=13Ah , where A = area of the triangular base, and H = height of the pyramid.

Best of Luck!

Answer:

The coordinates of point p are:

x = -3.2

y = 9.6

Step-by-step explanation:

A linear relationship can be written as:

y = a*x + b

where a is the slope and b is the y-axis intercept.

For a line that passes through the points (x1, y1) and (x2, y2), the slope can be written as:

a = (y2 - y1)/(x2 - x1).

Then if we know that L1 passes through the points (6, 5) and (10, 3) the slope of this line will be:

a = (3 - 5)/(10 - 6) = -0.5

Then this line will be something like:

y = -0.5*x + b

To find the value of b we can just replace the values of one of the points in the above equation. For example if we use the point (6, 5), this means that:

x = 6

y = 5

Then we get:

5 = -0.5*6 + b

5 = -3 + b

5 + 3 = b

8 = b

Then the equation for line L1 is:

y = -0.5*x + 8

Now, for line L2 we know that it has a gradient -3 (for linear equations, the gradient is the same as the slope)

Then line L2 has a slope equal to -3

y = -3*x + b

And we know that this line passes through the origin, (0, 0)

Then if we replace the values of that point in our equation, we get:

0 = -3*0 + b

0 = b

Then line L2 is:

y = -3*x

Then our two lines are:

y = -0.5*x + 8

y = -3*x

Now we want to find the point where these lines intersect. The lines will intersect in one point that belongs to both lines, then we can use the relation:

-0.5*x + 8 = y = -3*x

-0.5*x + 8 = -3*x

now we can solve this for x.

-0.5*x + 8 = -3*x

8 = -3*x + 0.5*x

8 = -2.5*x

8/-2.5 = x = -3.2

Now we need to evaluate one of the lines on this value, i will use line L2

y = -3*(-3.2) = 9.6

Then we can conclude that the lines do intersect in the point:

x = -3.2

y = 9.6

this point is written as: (-3.2, 9.6)

Answer:

(0,4)

Step-by-step explanation:The y intercept is where the line passes through the y-axis.

Answer:

75

Step-by-step explanation:

Answer:

122

Step-by-step explanation:

Answer:

122

Step-by-step explanation:

8 pints in 1 gallon

multiply 15.25 and 8 to get answer of 122

Answer:

C

Step-by-step explanation:

The 3 triangles are all similar.

Using the 2 inside then the ratios of corresponding sides are equal, that is

[tex]\frac{x}{3}[/tex] = [tex]\frac{12}{x}[/tex] ( cross- multiply )

x² = 36 ( take the square root of both sides )

x = [tex]\sqrt{36}[/tex] = 6 → C

Answer:

C) x = 6

because this is a right triangle

=> we have:

(12² + x²)(3² + x²) = (15x)²

<=> 1296 + 153x² + x⁴ = 225x²

<=> x⁴ - 72x² + 1296 = 0

<=> (x² - 36)² = 0

<=> x² = 36

=> x = 6

Answer:

w=[tex]\frac{40}{3}[/tex]

Step-by-step explanation:

2(2w+8)+2w=96

Distribute the 2.

4w+16+2w=96

Combine like terms.

6w+16=96

Subtract 16

6w=80

Divide 80 by 6.

w= 13.333333 or [tex]\frac{40}{3}[/tex]

Answer:

yes it does

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

Answer:

1:2

Step-by-step explanation:

The ratio of the number of sides of a square to the number of edges of a cube is- A)1:2.

Answer:

thank for the points hsushajwhshbsjsbsjs

Answer:

Step-by-step explanation:

In similar triangles, corresponding sides are in same ratio

[tex]\frac{28}{24} = \frac{3x-9}{x +8}\\\\\frac{7}{6}=\frac{3x-9}{x+8}\\[/tex]

Cross multiply,

7*(x + 8) = 6*(3x -9 )

7x + 7*8 = 6*3x - 6*9

7x +  56   = 18x - 54

          56 = 18x - 7x -54

          56 = 11x - 54

         11x - 54 = 56

               11x  = 56 +54

                11x = 110

               x = 110 /11

x = 10

PR = 3x -9

     = 30 - 9

PR = 21

Answer:

243

Step-by-step explanation:

Answer:

243

Step-by-step explanation:

Answer:

$10294.20

Step-by-step explanation:

8550 increase 20.4% =

8550 × (1 + 20.4%) = 8550 × (1 + 0.204) = 10294.2

Answer:

b =✓45

Step-by-step explanation:

9^2-6^2

√45

b= ✓45

Answer:

Distance travel by Monica = 628 ft

Step-by-step explanation:

Given:

Radius of whee l = 1 ft

Number of revolution = 100

Find:

Distance travel by Monica

Computation:

Distance travel by Monica = 100[Circumference of wheel]

Distance travel by Monica = 100[2πr]

Distance travel by Monica = 100[2(3.14)(1)]

Distance travel by Monica = 100[6.28]

Distance travel by Monica = 628 ft

The rule for coordinates for a reflection over the y -axis is:

( x, y ) → ( −x, y )

The coordinates plane for the triangle ABC after a reflection over the y-axis is

A(5, -2), B(4, -4), and C(6, -4).

Reflection is a transformation that flips a shape in a mirror line also called a line of reflection so that each point is the same distance from the mirror line as its reflected point.

The rule for coordinates for a reflection over the y -axis is:

( x, y ) → ( −x, y )

We have,

The following coordinates:

A = (-5, -2)

B = (-4, -4)

C = (-6, -4)

Since the rule for coordinates for a reflection over the y-axis is

(x, y) ⇒ (-x, y)

We have,

(-5, -2) = (5, -2)

(-4, -4) = (4, -4)

(-6, -4) = (6, -4)

Thus the coordinates plane for the triangle ABC after a reflection over the y-axis is A(5, -2), B(4, -4), and C(6, -4).

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Answer:

5.5

Step-by-step explanation:

Fisrst I would rearange the equation to read 8.25 -2.75 from there you would just subtract as normally.

Answer:

the first one

Step-by-step explanation:

it gives you 3-x=3-x

Answer:

1/2 of the class

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