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algol [13]
3 years ago
5

Solve. 9x + 4 = 3x + 9 What would the answer be?

Mathematics
1 answer:
Evgen [1.6K]3 years ago
3 0

Answer:

x = 5/6

Step-by-step explanation:

First, you would take 9x+4=3x+9 and cross out "3x" and change 9x to "6x". Now you have something like this: 6x+4=9. 9 minus 4 equals 5. So, 6x=5. To figure out x, we have to take 5 and divide by 6, to get x=5/6.

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Help me please thanks
ddd [48]

Answer:

64 square cm

Step-by-step explanation:

(I pulled this out of the comments in case someone else needs this answer. Easier to see as an answer than as comments in the app)

Area 2 is easier, so we’ll start with that one. Area of a rectangle is length x width.

8 x 6 = 48 square cm

Area 1 is a triangle, so the formula is 1/2(base)(height). The height of the triangle is 8, because it’s the same as the base of the rectangle. The base of the triangle is 4, because we can subtract the 6 from the rectangle from the total side length of 10. Does that make sense?

So 1/2 (4)(8)= 1/2(32) = 16 square cm

Then we add 16 + 48 = 64 square cm

5 0
3 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-}}

<u>Let us assume that:</u>

\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

<u>Therefore:</u>

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

\sf \longmapsto x =  - 2,3

<u>But x cannot be negative. </u>

\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 following expression represents the population of colony of penguins in Antarctica: P,= 17.2.3 P, is the penguin population,
nikdorinn [45]
55 hours is your answer
6 0
4 years ago
What is the slope of the line represented by the equation y = -1.8x - 2?
rusak2 [61]

Answer:

y = mx + b

-1.8 is the slope

-1.8 in fraction form is -9/5

-9/5

Step-by-step explanation:

8 0
3 years ago
Solve the system of equations.<br> – 5x + 2y = 9<br> y = 7x<br><br> X =<br> Y =
Sphinxa [80]

Answer:

<em> x−y = 9 , x + y = 6</em>

<em>x + y = 4  ,  x − y = 2</em>

<em>x + 2 y = 4  ,  x − y = − 3 </em>

<em>try out these examples?</em>

<em />

<em />

5 0
3 years ago
Read 2 more answers
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