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aniked [119]
3 years ago
10

How could you solve for x in the problem 3x+7=-x-1

Mathematics
1 answer:
lukranit [14]3 years ago
7 0

Hello there!

3x+7=-x-1\\

Explanation:

↓↓↓↓↓↓↓↓↓↓↓↓

First you had to subtract by 7 from both sides of the equation.

3x+7-7=-x-1-7

Simplify

3x=-x-8

Then you add by x from both sides of the equation.

3x+x=-x-8+x

Simplify

4x=-8

Divide by 4 from both sides of the equation.

\frac{4x}{4}=\frac{-8}{4}

Simplify it should be the correct answer.

x=-2

Answer⇒⇒⇒x=-2

Hope this helps!

Thank you for posting your question at here on Brainly.

Have a great day!

-Charlie

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If log2 5 = k, determine an expression for log32 5 in terms of k.
lukranit [14]

Answer:

log_3_2(5)=\frac{1}{5} k

Step-by-step explanation:

Let's start by using change of base property:

log_b(x)=\frac{log_a(x)}{log_a(b)}

So, for log_2(5)

log_2(5)=k=\frac{log(5)}{log(2)}\hspace{10}(1)

Now, using change of base for log_3_2(5)

log_3_2(5)=\frac{log(5)}{log(32)}

You can express 32 as:

2^5

Using reduction of power property:

log_z(x^y)=ylog_z(x)

log(32)=log(2^5)=5log(2)

Therefore:

log_3_2(5)=\frac{log(5)}{5*log(2)}=\frac{1}{5} \frac{log(5)}{log(2)}\hspace{10}(2)

As you can see the only difference between (1) and (2) is the coefficient \frac{1}{5} :

So:

\frac{log(5)}{log(2)} =k\\

log_3_2(5)=\frac{1}{5} \frac{log(5)}{log(2)} =\frac{1}{5} k

6 0
3 years ago
The circumference of a circle is
pantera1 [17]

Answer:

Step-by-step explanation:

the formula for circumference of a circle is 2 x pi x r(radius).

6 0
3 years ago
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Which number sentence is true? O A) 2.3 x 102 > 2000 OB) 3.45 > 1-4.35| OC) 345 > 5:33 825 OD 13​
OLEGan [10]

Answer:

D) -2.14< root10 <|-2.8|

Step-by-step explanation:

the value for -2.14 is as plain as you can see, the negative version of 2.14.

The square root of 10 is 3.16227766.

The lines next to -2.8 is asking for the absolute value of -2.8, or the distance between that number and zero. The distance between -2.8 and 0 is positive 2.8, because distance can't be negative.

The 3 numbers taken from the explanations are -2.14, 3.16, and 2.8. Ranking them from least to greatest would give you -2.14, 2.8, 3.16, or -2.14< root10 <|-2.8|

7 0
3 years ago
Work out the length of the following rectangles
tiny-mole [99]

(a) a = 10.9 cm

(b) b = 20.78 cm

(c) c = 4.06 cm

<u>Explanation:</u>

(a)

height, h = 5cm

Hypotenuse, H = 12cm

Base, a = ?

Using pythagoras theorm:

(H)² = (h)² + (a)²

(12)² = (5)² + (a)²

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a = 10.9 cm

(b)

Hypotenuse, H = 24 cm

Base, a = 12 cm

Height, b = ?

Using pythagoras theorm:

(H)² = (b)² + (a)²

(24)² = (b)² + (12)²

432 = b²

b = 20.78 cm

(c)

height, h = 4 cm

Hypotenuse, H = 5.7 cm

Base, c = ?

Using pythagoras theorm:

(H)² = (h)² + (c)²

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c = 4.06 cm

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3 years ago
What is postulate in geometry
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A statement also know as an axiom which is taken to be true without proof.
4 0
3 years ago
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