All categories

2 years ago

6. Use the image below to find the missing value.

Mathematics

1 answer:

Katarina [22]2 years ago

3 0

Option C:

The value of m is 4.

Solution:

Given data:

AB = 4m – 15

BC = 5m –6

AC = 15

<u>To find the value of m:</u>

Using segment addition postulate,

AB + BC = AC

4m – 15 + 5m –6 = 15

Arrange the like terms together.

4m + 5m – 15 – 6 = 15

9m – 21 = 15

Add 21 on both sides of the equation,

9m = 36

Divide by 9 on both sides of the equation.

m = 4

The value of m is 4.

Option C is the correct answer.

You might be interested in

3 There are 4 quarts in a gallon. Which function

siniylev [52]

(B)

Explanation:
4 quarts are in a gallon so one gallon equals 4(1). The one represents the amount of gallons so if there are x gallons it would become 4(x)

8 0

2 years ago

A line contains the points (8, 5) and (6, 15).

Olenka [21]

Answer: -5

Step-by-step explanation:

The formula for calculating the slope of a line is given as :

m=\frac{y_{2} }{x_{2}} - \frac{y_{1}}{x_{1}}

$x_{1}$ = 8

$x_{2}$ = 6

$y_{1}$ = 5

$y_{2}$ = 15

substituting into the formula , we have

m = $\frac{15-5}{6-8}$

m = $\frac{10}{-2}$

m = -5

Therefore the slope is -5

3 0

3 years ago

The population of a certain species of bird in a region after t years can be modeled by the function P(t)= 1620/1+1.15e^-0.042t

natka813 [3]

Answer:

Step-by-step explanation:

The function is $\frac{1620}{1+1.15e^{-0.042t}}$

To find the maximum population, we need to set t towards infinity to get our answer.

So, we replace time with maximum ( $\infty$ ). Let's check:

$\frac{1620}{1+1.15e^{-0.042t}}\\=\frac{1620}{1+\frac{1.15}{e^{0.042t}}}\\=\frac{1620}{1+\frac{1.15}{e^{0.042(\infty)}}}\\=\frac{1620}{1+\frac{1.15}{\infty}}\\=\frac{1620}{1+0}\\=\frac{1620}{1}\\=1620$