3 years ago

The sum of the exterior and interior angles of a triangle is always 360°. True or false.

Mathematics

1 answer:

mel-nik [20]3 years ago

6 0

True,
Good luck! I hope I helped!

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Find the average rate of change of the function between the given values of x. y = 9+ 5x + 0.5x2 between x = 2 and x = 4.

svet-max [94.6K]

Answer:

The average rate of change is 8.

Step-by-step explanation:

The formula to calculate the average rate of change of a function F(x) is:

$\frac{F(b)-F(a)}{b-a}$

In this case, F(x) = $0.5x^{2} +5x+9$

a=2 and b=4

You have to evaluate x=2 (which is a in the formula) and x=4 (which is b in the formula) in the function.

In order to obtain F(b) and F(a) you have to replace x=4 and x=2 in the given function:

F(b) = $(0.5)4^{2} + 5(4) +9= 37$

F(a) = $(0.5)2^{2} + 5(2)+9=21$

$\frac{F(b)-F(a)}{b-a} = \frac{37-21}{4-2}=\frac{16}{2} = 8$

The answer is 8.

3 0

3 years ago

Find the approximate distance between (-5, 8) and (10, -7). Round your answer to two decimal places.

nadya68 [22]

Distance formula : d = sqrt (x2 - x1)^2 + (y2 - y1)^2
(-5,8)(10,-7)

d = sqrt (10 - (-5)^2 + (-7 - 8)^2
d = sqrt (10 + 5)^2 + (- 15^2)
d = sqrt (15^2) + (-15^2)
d = sqrt 225 + 225
d = sqrt 450
d = 21.21

5 0

4 years ago

Patrick left an $8 tip on a $50 restaurant bill. What percent tip is that?

Gnoma [55]

Do 50 multiplied by x = 8. Solve for x.
It would give you .16 which is 16%.

3 0

3 years ago

The number of students of 7 more than 5 times the number of teacher. there are 12 theacher. how many students are there?

Alborosie

students =7+5*teachers

students = 7+5*12

students = 7+60

students = 67

5 0

3 years ago

Negative 4 equals r/20 minus 5

levacccp [35]

Answer: r = - 20

Step-by-step explanation:

$-4 = \frac{r}{20} - 5$

$\frac{r}{20} = 4-5$

$\frac{r}{20}=-1$

$\frac{r}{20}*20 = -1 * 20$

$r = -20$

5 0

3 years ago