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3 years ago

From 4a + 7b - 12c subtract 8a - 9b + 12d.

Mathematics

1 answer:

ollegr [7]3 years ago

8 0

Answer:

-4a + 16b -12c -12d

Step-by-step explanation:

Given: From 4a + 7b - 12c subtract 8a - 9b + 12d.

We are given two algebraic expression. We can add/subtract only the like terms.

(4a + 7b -12c) - (8a -9b +12d)

Now we have distribute the negative sign inside the second expression (8a -9b +12b). If we do, the sign changes.

4a + 7b -12c -8a + 9b -12d [Sign rule: -(-) = +; -(+) = -]

Now we can combine the like terms

= (4a - 8a) +(7b + 9b) -12c -12d

= -4a + 16b -12c -12d

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Factor the expression:

Dovator [93]

Answer:

B) (4x-5i)(4x+5i)

Step-by-step explanation:

The expression can be treated as the difference of squares, and factored accordingly. That factoring is ...

a² -b² = (a -b)(a +b)

Here, we have ...

a² -b² = 16x² -(-25)

a² = 16x² ⇒ a = 4x

b² = -25 ⇒ b = √-25 = 5i

Then the factoring is ...

(a -b)(a +b) = (4x -5i)(4x +5i)

6 0

2 years ago

Factor 200t+83 - 80t2.<br> A. 8t(t - 5)(t + 5)<br> B. 8t(t - 5)2<br> C. -8t(t - 5)(t + 5)

Mashutka [201]

Step-by-step explanation:

8t³-80t²+200t

= 8(t³-10t+25)

= 8t(t²-10t+25)

= 8t(t-5)(t-5)

= 8t(t-5)²

the answer is B.

3 0

3 years ago

Which of the following are solutions to the equation below?

Natasha2012 [34]

Both A and C would be solutions to the equation.

In order to solve for this you must first get the equation equal to 0.

2x^2+5x+8=6 ----> subtract 6 from both sides
2x^2 + 5x + 2 = 0

Now knowing this we can use the coefficients of each one in descending order of power as a, b and c.

a = 2 (because it is the coefficient to x^2)
b = 5 (because it is the coefficient to x)
c = 2 (because it is the end number)

Now we can plug these values into the quadratic equation.

$\frac{-b +/- \sqrt{b^{2} - 4ac } }{2a}$

$\frac{-5 +/- \sqrt{5^{2} - 4(2)(2) } }{2(2)}$

$\frac{-5 +/- \sqrt{9} }{4}$

$\frac{-5 +/- 3 }{4}$

$\frac{-5 + 3 }{4}$ or -1/2 for the first answer

$\frac{-5 - 3 }{4}$ or -2 for the second answer

5 0

3 years ago

AB= 4x + 7 and BC = 20x - 5 <br> AB ~= BC

Mariana [72]

The value of the variable x is 3/4

<h3>What are congruent segments</h3>

Congruent segment are segments with equal or congruent lengths.

From the information given, we have that line AB is approximately equal to line BC. This is represented as;

AB = BC

Where;

AB = 4x + 7
BC = 20x - 7

Now, let's equate the expressions

4x + 7 = 20x - 5

collect like terms

4x - 20x = - 5 - 7

- 16x = - 12

Make 'x' the subject of formula

x = -12/-16

x = 3/4

Thus, the value of the variable x is 3/4

Learn more about line segments here:

brainly.com/question/1388250

#SPJ1

8 0

1 year ago

Read 2 more answers

Which equation(s) represents a proportional relationship? A) y = 5+x B) y = 4x C) y = 7x? D) y = 2-x

andreyandreev [35.5K]

Answer:

B & C

Step-by-step explanation:

A proportional relationship has a proportionality constant (constant rate of change) and and must cross through the origin (or begin at (0,0). This means it's y-intercept is 0. Each of the options is a linear function. All of the functions have a constant rate of change. Only one as b=0 or 0 as the y-intercept.

B) y=4x has a constant of 4 and passes through the origin.

C) y=7x has a constant of 7 and passes through the origin.

6 0

3 years ago