All categories

3 years ago

Points A,B, and Care collinear, Point B is between A

Mathematics

1 answer:

melomori [17]3 years ago

5 0

<h3>Answer: x = 4</h3>

===============================================

Explanation:

Saying "Points A,B, and C are collinear" means the three points all fall on the same line. For the sake of simplicity, assume the line is horizontal.

Since B is between A and C, we know that the order of the points from left to right is A, B, C.

Through the segment addition postulate, we say,

AB+BC = AC

(x+3) + (x) = 11

x+3+x = 11

2x+3 = 11

2x = 11-3

2x = 8

x = 8/2

x = 4

------------------

Extra info:

Using x = 4, we see that

AB = x+3

AB = 4+3

AB = 7

Note how this adds to BC = x = 4, getting us,

AB+BC = 7+4 = 11

which is the length of segment AC. This confirms AB+BC = AC is true and confirms our answer.

You might be interested in

Find the area of each figure

jeka94

Answer:

50.74 yds^2

Step-by-step explanation:

7 0

3 years ago

What is the average rate of change for h(t) between t=0 and t=2

nordsb [41]

Part a: Option D 18 feet per second

Part b: increasing

Solution:

Height $h(t)=-16 t^{2}+50 t+3$

Part a: To find the average rate of change for h(t) between t = 0 and t = 2.

Substitute t = 0 in h(t).

$h(0)=-16 (0)^{2}+50 (0)+3$

h(0) = 3

Substitute t = 2 in h(t).

$h(2)=-16 (2)^{2}+50 (2)+3$

h(2) = 39

Average rate of change formula:

$$=\frac{h(b)-h(a)}{b-a}$

Here, a = 0 and b = 2.

$$=\frac{h(2)-h(0)}{2-0}$

$$=\frac{39-3}{2}$

$$=\frac{36}{2}$

= 18

Average rate of change = 18 feet per second

Option D is the correct answer.

Part b:

This means height of the ball is increasing for 0 < x < 2.

6 0

3 years ago

Which of the following shows the true solution to the logarithmic equation 3 log Subscript 2 Baseline (2 x) = 3 x = negative 1 x

s2008m [1.1K]

Answer:

x = 1

Step-by-step explanation:

Using the rules of logarithms

log $x^{n}$ ⇔ n log x

$log_{b}$ x = n ⇔ x = $b^{n}$

Given

3 $log_{2}$ (2x) = 3

$log_{2}$ (2x)³ = 3

(2x)³ = 2³

8x³ = 8 ( divide both sides by 8 )

x³ = 1 ( take the cube root of both sides )

x = 1

7 0

3 years ago

Five binders and three folders cost $23. Five binders and one folder cost $20. How much does one binder cost?

riadik2000 [5.3K]

Answer: $3.7

Step-by-step explanation:

23-20=3

3/2=1.5

20-1.5=18.5

18.5/5=3.7

5 0

3 years ago

Read 2 more answers

during the week of the country fair, fifteen thousand, six hundred nine entry tickets were sold. Is it correct to write the numb

dezoksy [38]

Answer:

No. It's 15,609

Step-by-step explanation:

The fifteen thousand represents the 15,000

The six hundred is 600

The nine is 9.

So it is 15,609

4 0

3 years ago