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Lelechka [254]
3 years ago
15

Find the distance between the following coordinates: I(-a,b), J(a,b)

Mathematics
1 answer:
olchik [2.2K]3 years ago
8 0

Answer:

2a

Step-by-step explanation:

using distance formula:

√(x₂-x₁)² + (y₂-y₁)²

putting values,

√{a-(a)}² + {b-b}² = √ {a+a}² + 0²

= √(2a)² = √4a² = 2a

Hope this helps:)

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AlekseyPX
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8 0
3 years ago
Which table represents exponential growth? A 2-column table has 4 rows. The first column is labeled x with entries 1, 2, 3, 4. T
Papessa [141]

Answer:

Table 2

Step-by-step explanation:

We have the tables:

<u>Table 1:</u>

x: 1  2  3  4

y: 2  4  6  8

<u>Table 2:</u>

x: 1  2  3  4

y: 2  4  8  16

<u>Table 3:</u>

x: 1  2  3  4

y: 2  4  7  11

<u>Table 4:</u>

x: 1  2  3  4

y: 2  4  6  10

An exponential growth data set will show a common ratio between y values. Let's look at each of the ratios from each table.

<u>Table 1:</u>

8/6 = 4/3

6/4 = 3/2

Already, we can see that 4/3 ≠ 3/2, which means that this doesn't have a common ratio. So Table 1 is wrong.

<u>Table 2:</u>

16/8 = 2

8/4 = 2

4/2 = 2

The common ratio here is 2, so we know this is correct.

<u>Table 3:</u>

11/7 = 1.57

7/4 = 1.75

Again, we can see that 1/57 ≠ 1.75, so this is wrong.

<u>Table 4:</u>

10/6 = 1.67

6/4 = 1.5

Again, there is no common ratio here, so this is wrong.

The answer is thus Table 2.

8 0
4 years ago
Read 2 more answers
Find NQ if NP = 13 cm and line l is a segment bisector.
Zielflug [23.3K]

Answer:

NQ = 26 cm

Step-by-step explanation:

A line bisector divides a line into two equal segments.

Given that line l is the bisector of segment NQ, it then means it divides NQ into two equal segments, namely, segment NP and segment PQ.

Thus, NP = ½ of segment NQ

Therefore, if NP = 13 cm,

13 = ½*NQ

multiply both sides by 2

2*13 = NQ

26 = NQ

NQ = 26 cm

7 0
3 years ago
Jordan throws a ball from a cliff 12 feet above the ground with an initial velocity of 32 feet per second. In the following func
lbvjy [14]

Answer:

Your answer will be the third function

Step-by-step explanation:

The base function you need to know is h(t)= 1/2at^2

Your acceleration in this problem is going to be gravity which they give to you, 32 feet per second squared. Since the ball is falling, it means it will have negative acceleration. Now you have the equation h(t)= -16t^2. The final step is to add the initial height from which the ball was dropped giving you: h(t)= -16t^2 +12

8 0
3 years ago
Differentiate f(x)= square root of x times sin x
zysi [14]
Hello,

y= \sqrt{ x*sin(x) } \\&#10;&#10;y'= \dfrac{sin(x)+x*cos(x)}{2 \sqrt{x*sin(x)} }
3 0
3 years ago
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