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3 years ago

14

Help ASAP!!! First to answer with a correct answer gets brain...

1 answer:

Llana [10]3 years ago

6 0

Hey there!

First, let's multiply each side of the equation by 3 to get rid of the fraction $\frac{2}{3}$ .

9 + 2x = $\frac{6}{5}$

Next we can multiply each side of the equation by 5 to get rid of the fraction $\frac{6}{5}$ .

45 + 10x = 6

There's your answer!

Hope this helps!

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What is the radius of the circle defined by x2 + 2x + y2 + 6y − 39 = 0?<br> 49<br> 9<br> 7<br> 81

Bond [772]

radius = 7

the equation of a circle in standard form is

(x-a)² + (y-b)² = r²

where (a, b) are the coordinates of the centre and r is the radius

To obtain this form ' complete the square ' on both the x and y terms

x² + 2(1)x + 1 + y² + 2(3)y + 9 = 39 + 1 + 9

(x+1)² + (y+3)² = 49 ← in standard form

with centre (1, 3) and r = √49 = 7

7 0

3 years ago

Read 2 more answers

a 32 foot ladder is leaned against a wall. if the base of the ladder is 8 feet from the wall, how high up the wall will the ladd

Leno4ka [110]

Answer:

31 feet

Step-by-step explanation:

Given: The length of ladder, leaned against wall= 32 foot

The base of ladder is 8 feet away from wall

Adjacent= 8 feet and Hypotenuse= 32 foot

we need to find height of wall till the ladder reach (Opposite).

We will use Pythagorean theorem; $hypotenuse^{2} = adjacent^{2} +opposite^{2}$

⇒ $32^{2} = 8^{2} +opposite^{2}$

⇒ $1024= 64+opposite^{2}$

subtracting both side by 64

⇒ $Opposite^{2} = 1024-64= 960$

⇒ $Opposite= \sqrt{960} = 30.98$ ≅ 31 ft

∴ 31 ft high up the wall.

8 0

3 years ago

Find (f/g)(x) using long division for f(x)=x^2+4x+5 g(x)=x+3 The quotient is_______ The remainder is________

san4es73 [151]

Answer:

25

Step-by-step explanation:

2kxxndesxnvvvhhvhhh

5 0

2 years ago

How do you evaluate logarithms? Explain using an example or mathematical evidence to support your answer.

kenny6666 [7]

Answer: Explanation below.

Step-by-step explanation:

First of all you need to know how to convert a logarithm into an exponential expression. The property is:

$log_Bx=n$

This is the same as: $B^n=x$

Example 1:

$log_99=$

We are trying to find what to raise 9 to, in order to get a result of 9.

$9^x=9$

When you have same bases, you equal exponents.

$x=1$

Therefore; $log_99=1$

Example 2:

$log_232=$

$2^x=32$

In this case, we have to make sure both sides have the same base. 32 can have a base of 2 if expressed as: $2^5$ which is 2*2*2*2*2

Rewriting this example we have;

$2^x=2^5$

Since we have the same base, we equal exponents.

$x=5$

Therefore; $log_232=5$

Example 3:

$log_3729=$

$3^x=729$

729 can have a base of 3 if expressed as: $3^6$

$3^x=3^6$

$x=6$

6 0

3 years ago

Read 2 more answers

1.)Given the recursive definition LaTeX: a_{n+1}=2\cdot a_n+1a n + 1 = 2 ⋅ a n + 1, and that LaTeX: a_1=1a 1 = 1, find LaTeX: a_

aksik [14]

Answer:

1) 1023

2) 8

Step-by-step explanation:

1)

Given:

$a_{n+1}=2\cdot a_n + 1$ and $a_1 = 1$

Then, the next table can be computed (only the first terms are explicitely shown)

n $a_n$

1 1

2 $a_{2}=2\cdot 1 + 1 =$ 3

3 $a_{3}=2\cdot 3 + 1 =$ 7

4 15

5 31

6 63

7 127

8 255

9 511

10 1023

2)

Given

$t_n=n^2-2n$

Then, the next table can be computed

n $t_n$

1 $t_1=1^2-2(1) =$ -1

2 $t_2=2^2-2(2) =$ 0

3 $t_3=3^2-2(3) =$ 3

4 $t_4=4^2-2(4) =$ 8

4 0

3 years ago