how do i solve systems by substitution

Answer:

The triple are: 48, 55 and 73

Step-by-step explanation:

Given

[tex](x^2 + y^2)^2 = (x^2 - y^2)^2 + (2xy)^2[/tex]

[tex]x = 8; y=3[/tex]

Required

The Pythagorean triple

We have:

[tex](x^2 + y^2)^2 = (x^2 - y^2)^2 + (2xy)^2[/tex]

Substitute: [tex]x = 8; y=3[/tex]

[tex](8^2 + 3^2)^2 = (8^2 - 3^2)^2 + (2*8*3)^2[/tex]

[tex](64 + 9)^2 = (64 - 9)^2 + (48)^2[/tex]

[tex](73)^2 = (55)^2 + (48)^2[/tex]

[tex]5329 = 5329[/tex]

Hence, the triple are: 48, 55 and 73

Answer:

Quadratic Equations

A quadratic equation is one of the form ax2 + bx + c = 0, where a, b, and c are numbers, and a is not equal to 0.

Factoring

This approach to solving equations is based on the fact that if the product of two quantities is zero, then at least one of the quantities must be zero. In other words, if a*b = 0, then either a = 0, or b = 0, or both. For more on factoring polynomials, see the review section P.3 (p.26) of the text.

Example 1.

2x2 - 5x - 12 = 0.

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

2x + 3 = 0 or x - 4 = 0.

x = -3/2, or x = 4.

Area of ΔQRS is 1/2×9×15×sin20° which is correct option (C)

Area of triangle is half the product of any two sides and the sine of the included angle.

Area = 1/2.ab.sinC

Area of ΔQRS = 1/2×9×15×sin∅

∵ ∅ = 20°

Area of ΔQRS = 1/2×9×15×sin20°

Hence, area of ΔQRS is 1/2×9×15×sin20°

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Answer: the answer is 10

Step-by-step explanation:

Answer:

wdym

Step-by-step explanation:

Answer:

A. cos 57°

Step-by-step explanation:

I calculated it logically

Answer:

The answer correct A. Cos 57

Step-by-step explanation:

90-33=57

Answer:

Not sure, It's getting kinda annoying ngl

Step-by-step explanation:

Answer:

48+x/x=7/1

48+x=7x

6x=48

x=8

no. of girls = 8

no.of boys= 48+8

= 56

The answer is 8

Answer:

8 girls

Step-by-step explanation:

Ratio boys to girls = 7:1

There area 48 more boys than girls

First lets make an equation

7x - 1x = 48

6x = 48

x = 8

There are 8 girls

Check:

7*x : 1*x =

56 : 8

56 - 8 = 48

Correct

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

V = 252 m³

Step-by-step explanation:

Formula for volume of a triangular prism = base area × height of prism

We are given the height (H) of the prism = 9 m

Let's find the base area using the figure of the base that is shown above with the dimensions:

Base area = ½*bh

b = 14 m

h = 4 m

Base area = ½*14*4

= 28 m²

✅Volume of the triangular prism = 28 × 9

= 252 m³

To find the length of an arc in a circle we use (a) Divide the arc's degree measure by 360°, then multiply by the circumference of the circle,

From the question, we have the following parameters that can be used in our computation:

The length of an arc in a circle

The length of an arc in a circle is calculated as

Length = Angle/360 * Circumference

This is representd by the option (a)

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Answer:

x=3. y=6

Step-by-step explanation:

So, to solve x and y, we need to take the equivelent sides of the two triangles, take their equations, and solve them.

So to find what x equals, we can take the 13, and make it equal to the 4x+1:

13=4x+1

Subtract the one from both sides:

12=4x

Divide both sides by 4:

3=x

Or

x=3

So we know the x value is 3.

Now lets solve for y using the bottom equations:

2x+y=8x-2y

Subtract 1y from both sides:

2x=8x-3y

Subtract 8x from both sides:

-6x=-3y

Divide both sides by -6:

x=1/2y

So we already know that x=3, lets plug that in for x, and solve for y:

3=1/2y

Or

1/2y=3

Multiply both sides by 2 to get 1y:

y=6

So we know that y is equal to 6.

Hope this helps!

The input value that produces the same output value for the two functions on the graph is; x = 3

From the attached graph, we see the two functions represented by;

Blue line which is g(x)

Red line which is f(x)

Now, the input values are all values of x that can be traced to a corresponding value of y on the function lines.

Now, from the graph we see that the to lines meet at the coordinate (3, -1). Thus, the input value that produces the same output value is x = 3.

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Answer:

A1: a=4

A2: a=12

A3: p=18

Step-by-step explanation:

a= 1/2 4 * 2

= 4

a = 1/2 6 * 4

= 12

to find p add all sides

P= 6 + 6 + 6 = 18

Answer:

The answer is 4

Step-by-step explanation:

Answer:

x = 4/3

y = 1/3

Step-by-step explanation:

System of equations! This is set up really well to make the second equation equal x then substitute.

x - y = 1

x = 1 + y

and then our substitution:

2 (1+y) + y = 3

and solve:

2 + 2y + y = 3

3y + 2 = 3

3y = 1

y = 1/3

And now we can substitute that value into one of our equations:

x - (1/3) = 1

x = 4/3

Next we should check by substituting these values into both of our equations:

2 (4/3) + (1/3) = 3

9 / 3 does equal 3 !

(4/3) - (1/3) does equal 1 !

Therefore, x = 4/3 , and y = 1/3

Answer:

75%

Step-by-step explanation:

100% - 25% = 75%

<3 Enjoy,

    Dea

Answer:

3/5

Step-by-step explanation:

Answer:

Step-by-step explanation:

3/5 is greater than 3/8 I’m not sure by how much tho

Answer:

each number it being counted that number of times

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

700mm

Step-by-step explanation:

.7 meters = 70cm = 700mm

Answer:

ASK A RABBIT

Step-by-step explanation:

The area of a rectangle is given as:

Area = Length x width

The dimensions of the rectangle are 9 inches and 5 inches.

A rectangle is a two-dimensional shape where the length and width are different.

The area of a rectangle is given as:

Area = Length x width

We have,

Area of a square = 49 in²

Area of a square = side²

This means the side of the square is 7 inches.

Now,

Let the same amount be x.

The area of the rectangle = 45 in²

The length of the rectangle = 7 + x

The width of the rectangle = 7 - x

The area of the rectangle = Length x Width

45 in² = (7 + x)(7 - x)

45 = 49 - 7x + 7x - x²

45 = 49 - x²

x² = 49 - 45

x² = 4

x = 2

Now,

The dimensions of the rectangle are:

Length = 7 + x = 7 + 2 = 9 inches

Width = 7 - x = 7 - 2 = 5 inches

Thus,

The dimensions of the rectangle are 9 inches and 5 inches.

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Answer:

I Think C is correct

Answer:

Less than

Step-by-step explanation:

1x8 - exactly 8

So multiplying something less than 1 x 8 must be less than 8.

3/5<1

Hope this helps!

Answer:

since 13 miles is 68640 i wood say 189 inches long from bumper to bumper. A mile is 5,280 feet (or 63,360 inches).

If 335 of these cars were parked with their bumpers touching, they would be almost exactly a mile long.

If your question refers to traffic jams, the answer will be a bit different, since cars in traffic jams don’t get that close together. I’m going to take a wild guess here, but let’s assume that there is a 4-foot gap between cars in our hypothetical traffic jam.  now put that in to 13 miles

Step-by-step explanation:

Answer:

V = 2784 mm^3

Step-by-step explanation:

The base of this prism is a right triangle. We can use the formula:

A = bh/2

to find the area of the base. A is area, b is base, and h is height. We can substitute what we have:

A = 16 * 12 / 2

A = 96

The volume of a prism is represented by the formula:

V = Bh

Where V is the volume, B is the base, and h is the height.

We have the area of the base as 96 and the height as 29, so we can substitute them in:

V = 96 * 29

V = 2784 mm^3

Answer:

airship, glider, submarine, sailboat

Answer:

- 12 points

Step-by-step explanation:

He's dropping three points each day for four days, ie 4 * 3 , which is equal to 12.