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2 years ago

What step should Alex do to find the value of x

Mathematics

1 answer:

Ksenya-84 [330]2 years ago

4 0

The answer is the 3rd option

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Find x (4,12), (x,18); slope=3

vodomira [7]

(y - yo) = m.(x - xo)

We have the points (4, 12) and (x, 18) with slope of 3.

(18 - 12) = 3.(x - 4)

6 = 3x - 12

3x = 6 + 12

3x = 18

x = 18/3

x = 6

8 0

3 years ago

What product is greater than 3/5

spayn [35]

Answer: 4/6+4/6 is 8/12 and bigger than 3/5

Step-by-step explanation:

6 0

2 years ago

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I need help with this asap! i will give brainliest :) (image included)

trasher [3.6K]

7 x 3 = 21 so it is 21 ft cm your welcome

5 0

2 years ago

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What are the potential solutions of log4x+log4(x+6)=2?

lions [1.4K]

The potential solutions of $log_4x+log_4(x+6)=2$ are 2 and -8.

<h3>Properties of Logarithms</h3>

From the properties of logarithms, you can rewrite logarithmic expressions.

The main properties are:

Product Rule for Logarithms - $log_{b}(a*c)=log_{b}a+log_{b}c$
Quotient Rule for Logarithms - $log_{b}(\frac{a}{c} )=log_{b}a-log_{b}c$
Power Rule for Logarithms - $log_{b}(a^c)=c*log_{b}a$

The exercise asks the potential solutions for $log_4x+log_4(x+6)=2$ . In this expression you can apply the Product Rule for Logarithms.

$log_4x+log_4(x+6)=2\\ \\ x*(x+6)=4^2\\ \\ x^2+6x=16\\ \\ x^2+6x-16=0$

Now you should solve the quadratic equation.

Δ= $b^2-4ac=36-4*1*(-16)=36+64=100$ . Thus, x will be $x_{1,\:2}=\frac{-6\pm \:\sqrt{100} }{2\cdot \:1}=\frac{-6\pm \:10}{2}$ . Then:

$x_1=\frac{-6+10}{2}=\frac{4}{2} =2\\ \\ \:x_2=\frac{-6-10}{2}=\frac{-16}{2} =-8$

The potential solutions are 2 and -8.

Read more about the properties of logarithms here:

brainly.com/question/14868849

4 0

2 years ago

Find the area of a square that has a perimeter of 24 cm.

Colt1911 [192]

Answer:36

Step-by-step explanation: since a square has 4 sides you divide 24 by 4 to see what one side equals which is 6 then you do 6 times 6 because that's how you find area of a square which gets you 36

5 0

3 years ago

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