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grandymaker [24]
3 years ago
6

Write as a product of 2 binomials and a monomial (factor out as much as possible from each binomial):

Mathematics
1 answer:
gayaneshka [121]3 years ago
4 0

(14x+21y)(6ab-3a) = 3a(2b - 1)(14x + 21y)

<em><u>Solution:</u></em>

Given that,

(14x+21y)(6ab-3a)

We have to factor out terms and write as a product of 2 binomials and monomial

A monomial is a mathematical expression with only one term, while a binomial is a mathematical expression with two terms.

From given expression,

(14x+21y)(6ab-3a) = (14x + 21y)(3 \times 2ab -3a)

3 and a are common factors in second bracket

(14x+21y)(6ab-3a) = 3a(2b - 1)(14x + 21y)

Hence, the product of two binomial is written in two binomial and a monomial

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Simplify by combining like terms. <br> 12+5t−4+15t+1
quester [9]

Answer:

9+20t

Step-by-step explanation:

Look at the terms and see which has t and which is a number when you see like terms, add them or subtract them together to get like terms.

5 0
3 years ago
From the side of a hill wai-kin looks up at the top of a nearby vertical cliff at an angle of elevation of 36 degrees and looks
oksano4ka [1.4K]

Answer:

881.5 meters.

Step-by-step explanation:

The horizontal plane at the level of wai-kin's eyes divide the height of the cliff into two parts. Let the upper part be represented by x and the lower part be represented by y.

The height of the cliff = x + y

Applying the appropriate trigonometry functions.

To determine the value of x;

Tan θ = \frac{opposite}{adjacent}

Tan 36^{o} = \frac{x}{490}

⇒ x = 490 x Tan 36^{o}

      = 490 x 0.7265

     = 355.985

x = 356 meters

To determine the value of y;

Tan θ = \frac{opposite}{adjacent}

Tan 47^{o} = \frac{y}{490}

⇒ y = 490 x Tan 47^{o}

      = 490 x 1.0724

      = 525.476

y = 525.5 meters

Therefore,

The height of the cliff = x + y

                                   = 355.985 + 525.476

                                   = 881.461

The height of the cliff is 881.5 meters.

3 0
3 years ago
What is the equation of a line that contains the point (6,-4) and has a slope of 3/4?
elixir [45]

Answer:

B. y+ 4 = 3/4 (x-6)

Step-by-step explanation:

Given:

m = 3/4

Slope-intercept:

y - y1 = m(x - x1)

y + 4 = 3/4(x - 6)

3 0
3 years ago
Round off 2409725 to nearest 10​
Julli [10]

Answer:

Hey!

Step-by-step explanation:

Your answer is 2409725.0

Best of luck ♥

5 0
3 years ago
Read 2 more answers
A cross country runner Covers 2.5 miles in 12.5 minutes what is the runners average speed in miles per hour
stiks02 [169]
I believe the answer is 5 because if however many times you can multiply 2.5 into 12.5, you get the answer of 5.
8 0
3 years ago
Read 2 more answers
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