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2 years ago

11

the lenght of a rectangle is x+5 and it,s breath is x-5the areas of a rectangle is is x raise to the power of 2-x-15 is it true

or false?

1 answer:

sukhopar [10]2 years ago

4 0

Answer:

False

Step-by-step explanation:

the area (A) of a rectangle is calculated as

A = length × breadth

= (x + 5)(x - 5) ← expand factors using FOIL

= x² - 5x + 5x - 25

= x² - 25 ≠ x² - x - 15

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Three numbers are in the ratio 3:9:10. If 10 is added to the last number, then the three numbers form an arithmetic progression.

MrRa [10]

Answer:

<em> The numbers are 6, 18, and 30 </em>

Step-by-step explanation:

If the three numbers are in the ratio of 3:9:10,

let the numbers be 3x, 9x and 10x.

<em>If 10 is added to the last number to form an arithmetic progression</em>

<em>Then, 3x 9x (10x+10) are the progression</em>

The common difference of an arithmetic progression (d) = T₂ - T₁ = T₃ - T₂

T₂-T₁ = T₃ - T₂ .............. Equation 1

Where T₁ = first term of the progression, T₂ = Second term of the progression, T₃ = third term of the progression

<em>Given: T₁ = 3x, T₂ = 9x, T₃ = 10x +10</em>

<em>Substituting these values into equation 1</em>

<em>9x-3x = (10x+10)-9x</em>

<em>Solving the equation above,</em>

<em>3x = 10+x</em>

<em>3x-x = 10</em>

<em>2x = 10</em>

<em>x = 10/2</em>

<em>x = 2.</em>

<em>Therefore the numbers are 6, 18, and 30 </em>

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3 years ago

Solve the equation for x by graphing -2x + 3 = -3(-x) - 2

adoni [48]

Answer:

x = 1

Step-by-step explanation:

There are a couple of ways to solve this. One is to graph the left side of the equation, graph the right side of the equation, and look for the point where those graphs intersect. It is at x = 1. The first attached graph shows this solution.

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Another method for solving such an equation is to subtract one side from the other and look for the value of x that makes the resulting expression zero.

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

A graphing calculator doesn't need to have this simplified. If it is simplified, it becomes ...

-5x +5 = 0

So, the graphed line is y = -5x+5. Its x-intercept is x=1, the solution of the original equation. The graph of this is shown in the second attachment.

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2 years ago

This was on my homework 5 X-5 = 5x+7

KengaRu [80]

Answer:

No solution

Step-by-step explanation:

Original Equation:

5x - 5 = 5x + 7

Add 5 to both sides

5x = 5x + 12

So we already know that this equation is not true, making it no solution

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3 years ago

Use the drop-down menus to complete the statements about the function p(x) = x(x – 1) + 1. The value of a is . The value of b is

Ludmilka [50]

Answer: The value of a is 1. The value of b is -1. The value of c is 1. The value of the discriminant is -3. The quadratic function will not intersects the x-axis.

Explanation:

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$p(x)=ax^2+bx+c$

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It can be written as,

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$D=1-4$

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The value of the discriminant is -3.

If D<0, it means the function have no real roots.

If D=0, it means function have one real roots.

If D>0, it means function have two real roots.

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