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3 years ago

Solve the equation. 2x + 12 = 2(x + 6)

Mathematics

1 answer:

Vilka [71]3 years ago

5 0

Answer:

Infinitely many solutions

Step-by-step explanation:

Step 1- Distribute into the parenthesis.

2x+12= 2(x+6)

2x+12= (2)x+(2)6

Step 2- Multiply

2x+12= 2x+12

Since they are equal, they are infinite.

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3b×+7c 2×2+4 3×3_6×+5 7y +8s_3

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Answer:

Step-by-step explanation:

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3 years ago

Please find the areas of the four rectangles and ADD them together. Fill in the spaces below.

Andrei [34K]

Total area = 9 x5 =45
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3 years ago

. If α and β are the roots of

Lostsunrise [7]

Answer:

$18x^2+85x+18 = 0$

Step-by-step explanation:

Given Equation is

=> $2x^2+7x-9=0$

Comparing it with $ax^2+bx+c = 0$ , we get

=> a = 2, b = 7 and c = -9

So,

Sum of roots = α+β = $-\frac{b}{a}$

α+β = -7/2

Product of roots = αβ = c/a

αβ = -9/2

Now, Finding the equation whose roots are:

α/β ,β/α

Sum of Roots = $\frac{\alpha }{\beta } + \frac{\beta }{\alpha }$

Sum of Roots = $\frac{\alpha^2+\beta^2 }{\alpha \beta }$

Sum of Roots = $\frac{(\alpha+\beta )^2-2\alpha\beta }{\alpha\beta }$

Sum of roots = $(\frac{-7}{2} )^2-2(\frac{-9}{2} ) / \frac{-9}{2}$

Sum of roots = $\frac{49}{4} + 9 /\frac{-9}{2}$

Sum of Roots = $\frac{49+36}{4} / \frac{-9}{2}$

Sum of roots = $\frac{85}{4} * \frac{2}{-9}$

Sum of roots = S = $-\frac{85}{18}$

Product of Roots = $\frac{\alpha }{\beta } \frac{\beta }{\alpha }$

Product of Roots = P = 1

The Quadratic Equation is:

=> $x^2-Sx+P = 0$

=> $x^2 - (-\frac{85}{18} )x+1 = 0$

=> $x^2 + \frac{85}{18}x + 1 = 0$

=> $18x^2+85x+18 = 0$

This is the required quadratic equation.

5 0

3 years ago

Read 2 more answers

If the radius of the wheel below is 4.2 inches. What is the area of the wheel? Round to the nearest tenth place value.

zepelin [54]

Answer:

A = 55.4 in^2

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

Solve for x. 8(5 + x) = 11(9 + x) Answer as a fraction.

7nadin3 [17]

distribute the 8 to the 5 and x. then distribute 11 to 9 and x.

(40+8x)=(99+11x)

-11x -11x

-3x+40=99

-40 -40

-3x= 59

divide three on both sides

x=59/-3

final answer x=-59/3

8 0

3 years ago