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3 years ago

12ab = 4 solve for a

Mathematics

2 answers:

WITCHER [35]3 years ago

8 0

Answer:

-3

Step-by-step explanation:

Levart [38]3 years ago

6 0

12ab=4
ab=4/12
ab=.3
a=.3/b

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Complete the square<br> x²-8x-65=0

FromTheMoon [43]

x=-5 and x=13

Step-by-step explanation:

Given equation is:

$x^2-8x-65=0$

Adding 65 to both sides

$x^2-8x-65+65=0+65\\x^2-8x=65$

Now to decide what to add

$8x = 2ab\\8x=2.x.b\\\frac{8x}{2x} = b\\b=4$

So we will add (4)^2 to both sides

$x^2-8x+(4)^2=65+(4)^2\\Using\ formula: (a^2-2ab+b^2)=(a-b)^2\\(x-4)^2=65+16\\(x-4)^2=81Taking\ square\ root\ on\ both\ sides\\\sqrt{(x-4)^2}=\sqrt{81}\\x-4=-9\ \ \ \ and\ x-4=9\\x=-9+4\ \ \ \ and\ \ \ x=9+4\\x=-5,\ x=13$

So the solution is:

x=-5 and x=13

Keywords: Completing Square, Variables

Learn more about quadratic equations at:

#LearnwithBrainly

5 0

4 years ago

A company manufactures three types of cabinets. It makes 110 cabinets each week. In the first week, the sum of the number of typ

miss Akunina [59]

Answer:

In the first week, the number of type-1 cabinets produced was 15,
the number of type-2 cabinets produced was 30,
the number of type-3 cabinets produced was 65.

Step-by-step explanation:

If we let a, b, c represent the numbers of type-1, type-2, and type-3 cabinets produced in the first week, respectively, we can write three equations in these unknowns:

a + b + c = 110 . . . . . total cabinets for the first week
a + 2b - c = 10 . . . . relationship of quantities in the first week
3a +0b +c = 110 . . . . total cabinets in the second week

It can be convenient to let a machine solver find the solution to this set of equations. Most graphing calculators can handle it, along with several web sites.

Solving by hand, we can subtract the second equation from twice the first. This gives ...

2(a +b +c) -(a +2b -c) - 2(110) -(10)

a +3c = 210 . . . . simplify

Subtracting this from 3 times the third equation gives ...

3(3a +c) -(a +3c) = 3(110) -(210)

8a = 120 . . . . . simplify

a = 15 . . . . . . . divide by 8

Using this in the third equation of the original set, we have ...

3·15 +c = 110

c = 65 . . . . . . subtract 45

Then, in the first equation, we get ...

15 + b + 65 = 110

b = 30 . . . . . . . subtract 80

The solution is (type-1, type-2, type-3) = (15, 30, 65) for the first week.

4 0

4 years ago

Read 2 more answers

Which of the following correctly maps figure ABCD onto figure EFGH? Select two that apply.

Minchanka [31]

Answer:

Option A

Step-by-step explanation:

From the graph attached,

Distance of point A of rectangle ABCD = 5 units

Distance of point E of rectangle EFGH = 5 units

Similarly, all the vertices of the rectangles ABCD and EFGH are equidistant from the y-axis.

Therefore, rectangle ABCD and rectangle EFGH may overlap each other by reflecting each other across y-axis.

Let's check by the rule of reflection,

Rule for the reflection of a point (x, y) across y-axis is given by,

(x, y) → (-x, y)

Following this rule,

A(-5, 5) → E(5, 5)

B(-3, 4) → F(3, 4)

C(-4, 1) → G(4, 1)

D(-6, 2) → H(6, 2)

Therefore, rule for the reflection is applicable in this question.

Option A will be the answer.

5 0

3 years ago

Decides which projects require a permit or approval

telo118 [61]

Answer:

ok I will love to help but what are we Decide which projects are we trying to pick let me know so i can help you

Step-by-step explanation:

4 0

3 years ago

To convert 58.58 to a fraction, we evaluate 58.58-0.58 What is 58.58-0.58 ?

lord [1]

Answer:

Step-by-step explanation:

58.58 - 0.58 = 58

4 0

4 years ago

Read 2 more answers