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3 years ago

What is the solution to the linear equation? = -12 + 3b - 1 =-5 - b

2 answers:

5 0

Okay so first let’s bring the variables to one side and the constants on the other side of the equal sign. (Remember that the sign changes for every coefficient/variable/constant.):

3b + b = -5 + 1 + 12

Add like terms:

4b = 8

Now you have to both sides by 4 considering that’s the biggest number 4 and 8 are divisible by:

b = 2

Your solution is b = 2

zalisa [80]3 years ago

4 0

Answer:

b = 2

Step-by-step explanation:

hope it works

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What is the value of the variables?

iren [92.7K]

Answer:

x=9 and w=12

Step-by-step explanation:

To solve for w and x, create proportions between the two similar triangles.

$\frac{Big Side}{Big Side} =\frac{little side}{little side}$

where Big represents the bigger triangle an little represents the smaller triangle.

$\frac{8}{16}=\frac{w}{12+w}$

Cross multiply and solve for w.

8(12+w)=16(w)

96 + 8w = 16w

96 + 8w - 8w = 16w - 8w

96 = 8w

w=12

Repeat with a new proportion.

$\frac{8}{22}=\frac{12}{24+x}$

Cross multiply and solve for x.

8(24+x)=22(12)

192 + 8x = 264

8x = 72

x=9

6 0

3 years ago

Suppose a and b are the solutions to the quadratic equation 2x^2-3x-6=0. Find the value of (a+2)(b+2).

KonstantinChe [14]

Answer:

(a+2)(b+2) = 4

Step-by-step explanation:

We are given the following quadratic equation:

$2x^2-3x-6=0$

Let a a and b be the solution of the given quadratic equation.

Solving the equation:

$2x^2-3x-6=0\\\text{Using the quadratic formula}\\\\x = \dfrac{-b \pm \sqrt{b^2-4ac}}{2a}\\\\\text{Comparing the equation to }ax^2 + bx + c = 0\\\text{We have}\\a = 2\\b = -3\\c = -6\\x = \dfrac{3\pm \sqrt{9-4(2)(-6)}}{4} = \dfrac{3\pm \sqrt{57}}{4}\\\\a = \dfrac{3+\sqrt{57}}{4}, b = \dfrac{3-\sqrt{57}}{4}$

We have to find the value of (a+2)(b+2).

Putting the values:

$(a+2)(b+2)\\\\=\bigg(\dfrac{3+\sqrt{57}}{4}+2\bigg)\bigg(\dfrac{3-\sqrt{57}}{4}+2\bigg)\\\\=\bigg(\dfrac{11+\sqrt{57}}{4}\bigg)\bigg(\dfrac{11-\sqrt{57}}{4}\bigg)\\\\=\dfrac{121-57}{156} = \dfrac{64}{16} = 4$

3 0

3 years ago

Write an equivalent expression for 27x + 18.

Ugo [173]

Answer:

9 (3x+2)

Step-by-step explanation:

27x + 18 = 9 (3x+2)

By simplifying the Given expression you get 9 (3x+2)

and no matter how many times you simplify that expression you always get the expression you started with so in other word their equavalent to each other

Hope this helps

3 0

3 years ago

What is the greatest common factor of these number 12x^3, 16x^2, 20x?

Mrac [35]

Answer:

Step-by-step explanation:gsgsbwbw

Hshsh

7 0

3 years ago

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