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Blababa [14]
2 years ago
12

За – 6а + 2 = 8а + 20 – 5а

Mathematics
1 answer:
Luda [366]2 years ago
4 0

Answer:

a = -3

Step-by-step explanation:

3a - 6a + 2 = 8a + 20 - 5a

Combine Like Terms

-3a + 2 = 3a + 20

       -2            -2

-------------------------------------

-3a = 3a + 18

-3a  -3a

-------------------------------------

-6a = 18

----   ----

-6     -6

a  =  -3

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if the rate of change for one linear function is positive and for another is negative can they both be either increasing or decr
Alla [95]

Answer:

They can never be both either increasing or decreasing.

Step-by-step explanation:

If the rate of change i.e. the slope of one linear function is positive, that means the graph of the linear function makes angle which varies between 0° to 90° with respect to the positive direction of the x-axis.

Therefore, the function must be increasing.

Again, if the rate of change i.e. the slope of one linear function is negative, that means the graph of the linear function makes angle which varies between 90° to 180° with respect to the positive direction of the x-axis.

Therefore, the function must be decreasing.

Hence, if the rate of change of one linear function is positive and for another is negative, they can never be both either increasing or decreasing. (Answer)

6 0
3 years ago
Find the area of the regular polygon
olasank [31]

area = 44.0467 \: cm {}^{2}

<h3>step by step explanation </h3>

● area of regular polygon Formulas ,

⟹a = \frac{l^{2}n}{4tan(\frac{\pi }{n)}}

● now finding the area of regular polygon,

⟹\frac{4 {}^{2} \times 8 }{ 4 \: tan \:  \binom{180}{5} }

⟹a =  \frac{128}{4 \times 0.7265}

⟹a = 44.0467 \: cm {}^{2}

Hope it's helps you

4 0
2 years ago
Nikolai is taking a taxi to school. He has to
adoni [48]
7 because the first mile will be 3 dollars then if you add the rest of the miles it will be seven because you are adding four more miles
5 0
2 years ago
PLZ HELP ASAP WILL MARK BRAINLIEST
RSB [31]

Answer:

72\sqrt{3}

Step-by-step explanation:

The area (A) of a rhombus is calculated as

A = \frac{1}{2} × d₁ × d₂ (d₁ and d₂ are the diagonals )

The diagonals bisect each other at right angles

d₁ = 2 × 6 = 12

Use the tangent ration in the upper left right triangle and the exact value

tan60° = \sqrt{3}

tan60° = \frac{opposite}{adjacent} = \frac{opp}{6} = \sqrt{3} ( multiply both sides by 6 )

opp = 6\sqrt{3} , then

d₂ = 2 × 6\sqrt{3} = 12\sqrt{3}

Thus

A = \frac{1}{2} × 12 × 12\sqrt{3} = 6 × 12\sqrt{3} = 72\sqrt{3}

3 0
2 years ago
. Toby invested £4500 for 2 years in a savings account. He was paid 4% per annum COMPOUND
Anton [14]

Answer:

£4867.2

Step-by-step explanation:

Given data

P= £4500

T=2 years

R= 4%

The compound interest expression

A=P(1+r)^t

substitute

A= 4500(1+0.04)^2

A=4500(1.04)^2

A=4500*1.0816

A=£4867.2

Hence the balance is £4867.2

4 0
2 years ago
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