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Oxana [17]
2 years ago
7

The equation of the line f is y =4/9x+3/2.Line g is perpendicular to f. What is the slope of line g?

Mathematics
1 answer:
tangare [24]2 years ago
7 0

Answer:

-9/4

Step-by-step explanation:

A perpendicular slope is on that is the negative reciprocal. current slope=4/9 and the negative recipocal is -9/4.

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WILL GIVE BRAINLIEST IF CORRECT ANSWER!!!
Rom4ik [11]

Answer : 2√3

<u>Given </u><u>:</u><u>-</u>

  • A equilateral triangle with side length 4.

<u>To </u><u>Find</u><u> </u><u>:</u><u>-</u>

  • The value of x in the given figure.

As we know that in a equilateral triangle , perpendicular bisector , angle bisector and median coincide with each other .

  • So the perpendicular drawn in the figure will bisect the given side .
  • Therefore the value of each half will be 4/2 = 2 .

Now we may use Pythagoras theorem as ,

→ AB² = BC² + AC²

→ 4² = 2² + x²

→ 16 = 4 + x²

→ x² = 16-4

→ x² = 12

→ x =√12 = √{ 3 * 2²}

→ x = 2√3

<u>Hence </u><u>the</u><u> required</u><u> answer</u><u> is</u><u> </u><u>2</u><u>√</u><u>3</u><u> </u><u>.</u>

I hope this helps.

3 0
2 years ago
The value of a house has increased by $4,200 in the past year. By what percent has the value increased if the value last year wa
IgorC [24]

Answer:

The value has increased by <u>8 percent</u>.

Step-by-step explanation:

Given:

The value of a house has increased by $4,200 in the past year.

The value last year was $52,500.

Now, to find the percent increased.

<em>Value of house = $52,500.</em>

<em>Value of house last year increased by = $4200.</em>

So, to get the percent increased:

\frac{Value\ of\ house\ last\ year\ increased\ by} {Value\ of\ house}\times 100.

=\frac{4200}{52500} \times 100

=0.08\times 100

=8\ percent.

Therefore, the value has increased by 8 percent.

6 0
3 years ago
Solve the system by elimination<br> -6x + 6y = 0<br> 9x - 8y = 4
jarptica [38.1K]

Answer:

Point form: (4, 4)

x = 4, y = 4

7 0
3 years ago
52 divided by 91 show work
shepuryov [24]
1.75 is the answer to ur problem
7 0
3 years ago
Read 2 more answers
Find the nth maclaurin polynomial for the function. f(x) = 5x − 5 x + 1 , n = 4 p4(x)
zysi [14]
Assuming the function is f(x)=\dfrac{5x-5}{x+1}, and not 5x-5x+1=1 which would be its own Maclaurin polynomial right away.

\dfrac{5x-5}{x+1}=\dfrac{5(x-1)}{x+1}=\dfrac{5(x+1-2)}{x+1}=5-\dfrac{10}{1+x}

Recall the geometric power series,

\displaystyle\sum_{n=0}^\infty x^n=\frac1{1-x}

where |x|. Replace x\mapsto-x and we have

\displaystyle\sum_{n=0}^\infty (-x)^n=\frac1{1+x}

and so

f(x)=5-10\displaystyle\sum_{n=0}^\infty(-x)^n

We want the 4th degree polynomial, so

p_4(x)=-5+10x-10x^2+10x^3-10x^4
7 0
3 years ago
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