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mel-nik [20]
2 years ago
6

Find the y-intercept for each of the new equations:

Mathematics
1 answer:
Zepler [3.9K]2 years ago
7 0

Answer:whgdwyhdiuwojm

Step-by-step explanation:

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Point P is on line segment OQ. Given OP = 6, OQ = 4x – 3, and PQ = 3x,
Eva8 [605]

Answer:

Hey there!

6+3x=4x-3

6=x-3

x=9

OQ=4x-3

OQ=4(9)-3

OQ=36-3

OQ=33

Let me know if this helps :)

3 0
3 years ago
Read 2 more answers
From a window 20 feet above the ground, the angle of elevation to the top of a building across
Nikitich [7]

Answer: The answer is 381.85 feet.

Step-by-step explanation:  Given that a window is 20 feet above the ground. From there, the angle of elevation to the top of a building across  the street is 78°, and the angle of depression to the base of the same building is 15°. We are to calculate the height of the building across the street.

This situation is framed very nicely in the attached figure, where

BG = 20 feet, ∠AWB = 78°, ∠WAB = WBG = 15° and AH = height of the bulding across the street = ?

From the right-angled triangle WGB, we have

\dfrac{WG}{WB}=\tan 15^\circ\\\\\\\Rightarrow \dfrac{20}{b}=\tan 15^\circ\\\\\\\Rightarrow b=\dfrac{20}{\tan 15^\circ},

and from the right-angled triangle WAB, we have'

\dfrac{AB}{WB}=\tan 78^\circ\\\\\\\Rightarrow \dfrac{h}{b}=\tan 15^\circ\\\\\\\Rightarrow h=\tan 78^\circ\times\dfrac{20}{\tan 15^\circ}\\\\\\\Rightarrow h=361.85.

Therefore, AH = AB + BH = h + GB = 361.85+20 = 381.85 feet.

Thus, the height of the building across the street is 381.85 feet.

8 0
3 years ago
Factor:<br> 4b2 - 12b + 9
Vikentia [17]

Answer:

  (2b-3)²

Step-by-step explanation:

The square of a binomial is ...

  (p - q)² = p² - 2pq + q²

The fact that the first and last terms are perfect squares suggests that you might want to look to see if the middle term matches this form. It does.

For p² = 4b², p=2b.

For q² = 9, q = 3.

Then 2pq = 2(2b)(3) = 12b.

So, the factoring is ...

  4b² -12b +9 = (2b -3)²

5 0
3 years ago
A 4 3/4-foot pipe has a 3 1/4-foot pipe fitted to it. How long is the new pipe?
lesantik [10]
1/4 is the anwers because you need to reduce the fraction
3 0
2 years ago
Read 2 more answers
James is 6 times older than his friend Zach . If Zach added 8 to his age and multiplied this sum by 3 . Write an equation that c
swat32

Given that:

James is 6 times older than his friend Zach, if Zach added 8 to his age and multiplied this sum by 3 .

To find:

The equation that can be used to solve for zach's age.

Solution:

Let the age of zach be Z.

Zach added 8 to his age = Z+8

And multiplied this sum by 3 = 3(Z+8)

James is 6 times older than his friend Zach = 6Z

Now,

6Z=3(Z+8)

6Z-3Z=24

3Z=24

Divide both sides by 3.

Z=8

Therefore, the required equation is 6Z=3(Z+8) is age of zach is 8 years.

5 0
3 years ago
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