Please helpppwhat is the value of x

Mathematics

1 answer:

exis [7]4 years ago

5 0

The answer is 68!

Hope this helps!

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Slope is 3/7,and (4,9) is on the line

TiliK225 [7]

Answer:

$y-9=\frac{3}{7}(x-4)$

$y=\frac{3}{7}x+\frac{51}{7}$

Step-by-step explanation:

To write the equation of the line using a slope and a point, use the point-slope formula $y-y_1 = m(x-x_1)$ . Here m is 3/7. And the point $(x_1,y_1)$ is (4,9). Substitute the values and simplify.

$y-y_1=m(x-x_1)\\y-9=\frac{3}{7}(x-4)\\y-9=\frac{3}{7}x - \frac{12}{7}\\y=\frac{3}{7}x -\frac{12}{7} + 9\\y=\frac{3}{7}x + \frac{51}{7}$

Both the point slope form and the final simplified form are considered equations of the line.

3 0

3 years ago

What is the solution to the equation below? Round your answer to two decimal places. log5 x=2.1

Natali5045456 [20]

Answer:

D. x=29.37

Step-by-step explanation:

To answer this question you have to understand how log work. Log is the abbreviation of logarithm and it works as an inverse function of exponentiation.

The rules should be like this:

$log_{a} b = c\\a^{c} = b\\$

Variable a in the equation is called base. If it left empty you can assume its base 10. The log in this question using 5 as a base. Variable b will be x and variable c will be 2.1

Now, let's change the variable of the equation using the information from the question.

$log_{a} b = c\\\log_{5} x = 2.1\\5^{2.1} = x\\x= log_5}^{-1}2.1\\x=29.365473577\\x=29.37$