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3 years ago

Factoring!!! Please help. Picture included

Mathematics

1 answer:

Rudik [331]3 years ago

7 0

3yz²-4y²z+6y³-2z³

First group the terms with the coefficients 3 and 6 and 4 and 2 together.

3yz²+6y³-4y²z-2z³

And then factor the GCF from the first two terms and the last two.

3y(z²+2y²)-2z(2y²+z²) The two binomials match so we can group 3y and -2z

(3y-2z)(z²+2y²)

answer: C

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A palm tree is supported by two guy wires as shown in the diagram below. Which trig expression can be used to find the height on

Volgvan

Answer:

D. $tan(30^\circ+45^\circ)$ is the correct answer.

Step-by-step explanation:

The given situation can be represented as a figure attached in answer area.

B is the base of tree.

C is the base of wires.

A and D are the end of 2 wires supporting the tree.

$\angle DCB =45^\circ\\\angle ACB =75^\circ\\$

Here, we need to find the Height of the tree which is represented the by side AB.

and we are given that bases of wires and tree base are at a distance 4 ft.

i.e. side BC = 4 ft

If we look at the $\triangle ABC$ , we are given the base BC and the $\angle ACB$ , and the perpendicular is to be find out.

We can use trigonometric identity:

$tan\theta =\dfrac{Perpendicular}{Base}$

$tan 75^\circ = \dfrac{AB}{BC}\\\bold {tan (45+30)^\circ }= \dfrac{AB}{4}\\\Rightarrow AB = \bold {tan (45+30)^\circ } \times 4 = 14.93\ ft$

Hence, D. $tan(30^\circ+45^\circ)$ is the correct answer.

5 0

2 years ago

The length of the football field is 10x+10 and the width is 4x+20. Write a polynomial that represents the are of the football fi

Maurinko [17]

The solution is in the attachment

7 0

3 years ago

which trends are reshaping the business, microeconomic and microeconomic environment and competitive arena?

UNO [17]

Honestly I don’t even know what this is sorry I tried

3 0

2 years ago

Drag each expression to show whether it is equivalent to 36x + 9, 9(4x – 1), or (4 • 9x) + (4 • 2).

lora16 [44]

In order to find out what 36x + 9 is equivalent to,, we must factor out 9 from the expression. Once we do this you will find that this expression is equivalent to 9(4x + 1),, or option E.
Next we will look at the expression 9(4x -1). In order for us to find out the equivalent to this expression,, we must first multiply each term in the parenthesis by 9.
9 × 4x - 9
Now calculate the product
36x - 9
This means that the equivalent for this expression is 36x - 9,, or option A.
Lastly,, we will look at the final expression given which is 4(9x + 2). The first step for finding the equivalent of this expression is to multiply the numbers in the first parenthesis together.
(36x) + (4 × 2)
Now multiply the numbers in the second parenthesis together.
(36x) + 8
Remove the parenthesis
36x + 8
Now factor out 4 from the expression to get your final answer.
4(9x + 2)
This means that the last expression is equivalent to 4(9x + 2),, or option C.
Let me know if you have any further questions
:)

3 0

3 years ago

The measures of two complementary angles are described by the expression(13y+12) and (20y+12). Find the measures of angles

Pachacha [2.7K]

Step-by-step explanation:

complementary angles means that both of them together = 90

13y +12 + 20y + 12 = 90

add all y together and numbers together

33y + 24 = 90

solve for y

33y= 66. y= 2

now let's get the measurements of the angles

13(2) + 12= 38

20(2) + 12= 52

8 0

3 years ago