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2 years ago

Write the equation that represents the line use exact numbers

Mathematics

1 answer:

Ira Lisetskai [31]2 years ago

4 0

Answer:

y= 6/5 x -5

Step-by-step explanation:

You have 2 points. (0,-5) and (5,1)

If you use the formula Y2-Y1 / X2-X1,

you will have 1 - (-5) on the numerator, which equals 6

you will have 5 - 0 in the denominator, which equals 5

6/5 is your slope, and the point on the y-intercept is what you put at the end of the equation.

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HELP ASAP PLEASE! THANKS!!!

Vika [28.1K]

Using it's concept, the range of the function is given by:

y ≥ 1

<h3>What is the range of a function?</h3>

The range of a function is composed by the set that contains all output values for the function. Considering the graph of the function, the range is given by all the values of y, which compose the vertical axis of the graph.

Looking at this graph, the function assumes values of 1 and greater, hence the range of the function is given by:

y ≥ 1.

More can be learned about the range of a function at brainly.com/question/10891721

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4 0

2 years ago

a 96 foot transmission tower casts a 72 foot long shadow. an anchor wire runs from the top of the tower to the tip of the shadow

soldier1979 [14.2K]

Answer:

63.5

Step-by-step explanation:

they all form a triangle, and the formula for that is a²+b²=c²

a=96 b=wire c=72

96²+b²=72²

9216+b²=5184

-9216 -9216

b²= -4032

square root of -4032 = 63.5

4 0

3 years ago

Simplify tan9x-tan5x / 1+tan9xtan5x<br> (SHOW WORK)

Charra [1.4K]

Answer:

The simplest form is tan(4x)

Step-by-step explanation:

* Lets revise the identity of the compound angles

- $tan(a+b)=\frac{tan(a)+tan(b)}{1-tan(a)tan(b)}$

- $tan(a-b)=\frac{tan(a)-tan(b)}{1+tan(a)tan(b)}$

* Lets solve the problem

- Let 9x = 5x + 4x

∴ tan(9x) = tan(5x + 4x)

- Use the rule of the compound angle

∵ $\frac{tan(9x)-tan(5x)}{1+tan(9x)tan(5x)}$ ⇒ (1)

∵ $tan(5x+4x)=\frac{tan(5x)+tan(4x)}{1-tan(5x)tan(4x)}$ ⇒ (2)

∵ tan(9x) = equation (2)

- Substitute (2) in (1)

∴ $\frac{\frac{tan(5x)+tan(4x)}{1-tan(5x)tan(4x)}-tan(5x)}{1+(\frac{tan(5x)+tan(4x)}{1-tan(5x)tan(4x)})tan(5x)}$

- Multiply up and down by (1 - tan(5x)tan(4x))

∴ $\frac{tan(5x)+tan(4x)-tan(5x)[1-tan(5x)tan(4x)]}{1-tan(5x)tan(4x)+tan(5x)[tan(5x)+tan(4x)]}$

- Simplify up and down

∴ $\frac{tan(5x)+tan(4x)-tan(5x)+tan^{2}(5x)tan(4x)}{1-tan(5x)tan(4x)+tan^{2}(5x)+tan(5x)tan(4x) }$

∴ $\frac{tan(4x)+tan^{2}(5x)tan(4x)}{[1+tan^{2}(5x)]}$

- Take tan(4x) as a common factor up

∴ $\frac{tan(4x)[1+tan^{2}(5x)]}{[1+tan^{2}(5x)]}$

- Cancel [1 + tan²(5x)] up and down

∴ The answer is tan(4x)

4 0

4 years ago

Find the value of x

jarptica [38.1K]

Answer:

x = 51

can't see the problem very well but I'm pretty sure this is the answer.

Step-by-step explanation:

Please let me know if you want me to add an explanation as to why this is the answer. I can definitely do that, I just wouldn’t want to write it if you don’t want me to :)

4 0

3 years ago

-1 2/3 / (-2 1/5)<br> solve this for me please &&' thank you

dangina [55]

Start by putting into improper fractions.
- 1 2/3 = - 5/3
- 2 1/5 = - 11/5

Now stack the fractions like this.

$\frac{ \frac{-5}{3} }{ \frac{-11}{5} }$

Here's the key part (or one of them). Cancel the minus signs. Since there are 2 of them they become a plus.

$\frac{ \frac{5}{3} } { \frac{11}{5} }$

Now invert the 11/5. That means turn it upside down. Put the 5 in the numerator and 11 in the denominator. Multiply by it by the top fraction.

$\frac{5}{3} * \frac{5}{11}$

When you do this, you just multiply top by top and bottom by bottom

3 0

3 years ago