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3 years ago

Giving brainliest to someone earning it

Mathematics

1 answer:

enyata [817]3 years ago

4 0

Answer:

um... okie

Step-by-step explanation:

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The graph below represents the number of pieces of paper that are found in boxes. What is the constant of proportionality?

kotegsom [21]

Answer:

12.5

Step-by-step explanation:

It is equal to the slope of the line = 50/4 = 12.5

5 0

2 years ago

<img src="https://tex.z-dn.net/?f=The%20%5C%3A%20%20value%20%20%5C%3A%20of%20%20%5C%3A%20%20%5Csqrt%7B6%20%2B%20%20%5Csqrt%7B6%2

saul85 [17]

$\large\underline{\sf{Solution-}}$

Let us assume that:

$\sf \longmapsto x = \sqrt{6 + \sqrt{6 + \sqrt{6 + ... \infty } } }$

We can also write it as:

$\sf \longmapsto x = \sqrt{6 + x }$

Squaring both sides, we get:

$\sf \longmapsto {x}^{2} =6 + x$

$\sf \longmapsto {x}^{2} - x - 6 =0$

By splitting the middle term:

$\sf \longmapsto {x}^{2} - 3x + 2x - 6 =0$

$\sf \longmapsto x(x - 3) + 2(x - 3 ) =0$

$\sf \longmapsto (x+ 2)(x - 3 ) =0$

Therefore:

$\longmapsto\begin{cases} \sf (x+ 2) =0 \\ \sf (x - 3) = 0 \end{cases}$

$\sf \longmapsto x = - 2,3$

But x cannot be negative. 

$\sf \longmapsto x = 3$

Therefore, the value of the expression is 3.

$\large\underline{\sf{Verification-}}$

Given:

$\sf\longmapsto x=3$

We can also write it as:

$\sf\longmapsto x = \sqrt{9}$

$\sf\longmapsto x = \sqrt{6+3}$

$\sf\longmapsto x = \sqrt{6 + \sqrt{9}}$

$\sf\longmapsto x = \sqrt{6 + \sqrt{6+3}}$

$\sf\longmapsto x = \sqrt{6 + \sqrt{6+\sqrt{9}}}$

$\sf\longmapsto x = \sqrt{6 + \sqrt{6+\sqrt{6+3}}}$

This pattern will continue.

$\sf\longmapsto x = \sqrt{6 + \sqrt{6+\sqrt{6+...\infty}}}$

7 0

3 years ago

The vertex angle of an isosceles triangle measures 42°. A base angle in the triangle has a measure given by

Dmitry_Shevchenko [17]

Answer:

x=33

Each base angle measures 69 degrees

Step-by-step explanation:

the 2 base angles are equal so the measure of 1 base angle = (180 - 42) / 2

= 69 degrees

2x + 3 = 69

2x = 66

x = 33

5 0

3 years ago

PLsss help nobody is helping me :(

nikdorinn [45]

7. E
8.C
9. F
10.D
11.B
12.A
13.G
I think this is right

8 0

3 years ago

Find the slope of the line that contains (−1, −6) and (−15, 2).

mestny [16]

(8/16) would be the slope

4 0

3 years ago