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4 years ago

Write as a product of 2 binomials and a monomial (factor out as much as possible from each binomial). (14x+21y)(6ab–3a)

Mathematics

1 answer:

mihalych1998 [28]4 years ago

4 0

Answer: The answer is $21a(2x+3y)(2b-1).$

Step-by-step explanation: Given expression is as follows

$E=(14x+21y)(6ab-3a).$

We are to write the above expression "E" as a product of two binomials and a monomial.

A monomial is an expression with a single term and a binomial is an expression with two terms.

So, let us start as follows -

$E\\\\=(14x+21y)(6ab-3a)\\\\=7(2x+3y)3a(2b-1)\\\\=21a(2x+3y)(2b-1).$

Here,

$21a~\textup{is a monomial and}~(2x+3y),~(2b-1)~\textup{are binomials}.$

Thus, the required factorisation is

$E=21a(2x+3y)(2b-1).$

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Given: AD and EG, transversal CH ∠ABC and _______ are same side exterior angles

Arturiano [62]

Answer:

∠EFH

Step-by-step explanation:

If AB and CD are parallel lines and EF is a transversal line, then angles formed on the same side of the transversal line and are exterior to the parallel lines are same side exterior angles.

Same side exterior angles theorem states that same-side exterior angles are supplementary.

From the image attached below:

∠ABC and ∠EFH are same side exterior angles, therefore:

∠ABC + ∠EFH = 180°

4 0

3 years ago

Read 2 more answers

Dilate a triangle with vertices (0,0), (0,2) and (2,0) using the scale factor k=3. What is the value of the ratio (new to origin

seropon [69]

Answer:

Part a) The ratio of the perimeters is $3$

Part b) The ratio of the areas is $9$

Step-by-step explanation:

Part A) What is the value of the ratio (new to original) of the perimeters?

we know that

If two figures are similar, then the ratio of its perimeters is equal to the scale factor

Let

z-----> the scale factor

x-----> the perimeter of the new triangle

y-----> the perimeter of the original triangle

$z=\frac{x}{y}$

we have

$z=3$

substitute

$\frac{x}{y}=3$

Part B) What is the value of the ratio (new to original) of the areas?

we know that

If two figures are similar, then the ratio of its areas is equal to the scale factor squared

Let

z-----> the scale factor

x-----> the area of the new triangle

y-----> the area of the original triangle

$z^{2}=\frac{x}{y}$

we have

$z=3$

substitute

$\frac{x}{y}=3^{2}$

$\frac{x}{y}=9}$

3 0

3 years ago

Mary took out a student loan for $15000 at 4% simple interest. How much interest will she pay in 10 years? suppose she paid it o

sergey [27]

Simple interest formula:

Total = principal x (1 + rate x years)

10 years:

Total = 15,000(1+0.04x10)

Total = $21,000

8 years:

Total = 15000(1+0.04x8)

Total = $19,800

Savings = 21,000 - 19,800 = $1,200

4 0

3 years ago

H(x)=-x-1h(x)=−x−1, find h(-2)h(−2)

Karo-lina-s [1.5K]

$▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ { \huge \mathfrak{Answer}}▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪$

Given function :

$h(x) = - x - 1$

we have to find h(-2) :

$h( - 2) = - ( - 2) - 1$

$h( - 2) = 2 - 1$

$h ( - 2) = 1$

4 0

3 years ago

What is the answer to 40x=2000

umka21 [38]

Answer:

40x = 2,000

x = 50

Step-by-step explanation:

to find x of the equation 40x you first want to try different number until you get 2000 and in 40x it says you must multiply meaning 40 times a number equals 2000 and 40 times 50 equals 2,000 making x = 50

finding x:

40x - this means to multiply

40/x - this means to divide

40 - x or x - 40: this means to subtract

40 + x or x + 40: this means to add

5 0

3 years ago