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2 years ago

Distributive property to 5 (y-8)

Mathematics

1 answer:

bazaltina [42]2 years ago

8 0

5y-40
5 multiply y and 5 multiply -8
hope this helps !

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Carlos says there are a total of 6,000 hundreds in the number 6,000,000.

Anna11 [10]

I would say B but I'm not sure

7 0

3 years ago

What is pie in decimals

liubo4ka [24]

It is an irrational number. The first 10 digits of pie are 3.141592653. Hoped I helped. :)

5 0

3 years ago

Determine whether the following function is one-to-one. f ( x ) = 6 x + 1

seraphim [82]

Answer:

one to one function

Step-by-step explanation:

f(x)=6x+1 can only be a one to one function when x1=x2

Now,

f(x1)=f(x2)

or, 6x1 + 1 = 6x2 + 1

or, 6x1 = 6x2

or, x1 = x2

So f(x)= 6x + 1 is a one to one function

4 0

2 years ago

The angle of elevation to the top of a water tower from point A on the ground is 19.9°. From point B, 50.0 feet closer to the to

zepelin [54]

Answer:

Answer in terms of a trigonometric function :

$h = \frac{20tan(19.9)}{0.4-tan(19.9)}$

Answer in figures

$h = 190.5 feet$

Step-by-step explanation:

Consider the sketch attached below to better understand the problem.

Let x be the distance between point B and the base of the water tower.

$tan (19.9)=\frac{h}{50+x} ---------------equation 1\\$

$tan (21.8)=\frac{h}{x}----------------equation 2$

From equation 2,

$x =\frac{h}{tan21.8}=\frac{h}{0.4}$

substituting the value of x into equation 1, we get

$tan (19.9)=\frac{h}{50+(\frac{h}{0.4} )}$

$tan 19.9=h\times \frac{0.4}{20+h}$

cross multiplying,

$20\times tan(19.9) +htan(19.9)=0.4h$

$20tan(19.9)= h(0.4-tan(19.9))$

$h= \frac{20tan (19.9)}{0.4-tan (19.9)}$

The height of the tower is $h= \frac{20tan (19.9)}{0.4-tan (19.9)}$ in terms of the trig function "Tan"

The equation can simply be evaluated to get the answer in figures since the angles are given in the question

5 0

3 years ago

If a= (-1,-3) and b= (11,8), what is the length of AB?

Margarita [4]

Answer:

4.80 units (3 s.f.)

Step-by-step explanation:

$distance \: formula \\ = \sqrt{(x1 - x2)^{2}+ (y1 - y2)^{2} }$

Hence, length of AB

= √(11+1)^2 - (8+3)^2

= √ 12^2 -11^2

= √ 23

= 4.80 units (3 s.f.)

6 0

3 years ago