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butalik [34]
3 years ago
15

Point P is located at (-3,5)

Mathematics
1 answer:
Naya [18.7K]3 years ago
5 0

Answer:

P' (- 7, - 5 )

Step-by-step explanation:

A translation of 3 units to the left means subtractin 3 from the x- coordinate with no change to the y- coordinate, thus

P(- 3, 5 ) → (- 3 - 4, 5 ) → (- 7, 5 )

Under a reflection in the x- axis

a point (x, y ) → (x, - y ), thus

(- 7, 5 ) → P'(- 7, - 5 )

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What value of b will cause the system to have
Tresset [83]

9514 1404 393

Answer:

  6

Step-by-step explanation:

The value of b that makes the two lines identical is the opposite of the y-intercept of the line.

  y = 6x -6 . . . . has y-intercept = -6

The value of b is the number in the term -6, so is 6.

5 0
3 years ago
The formula a = 118e0.024t models the population of a particular city, in thousands, t years after 1998. when will the populatio
andriy [413]
Given that the population has been modeled by the formula:
a=118e^(0.024t), the time taken for the population to hit 140k will be given by:
140000=118e^(0.024t)
solving for t we shall have:
140000/118=e^(0.024t)
thus;
0.024t=ln(140000/118)
t=1/0.024*ln(140000/118)
t=295
thus the time the population will be 140000 will be:
1998+295
=2293
6 0
3 years ago
Two runners start 30kilometer apart and run toward each other. they meet after 3hours. One Runner runs 2 kilometers per hour fas
joja [24]

Answer:

4 km per hour and 6 km per hour.

Step-by-step explanation:

The combined running rate  = 30/3 = 10 km/h.

If one runner's speed = x then the other one's speed is x+2 km/h.

So x + x + 2 = 10

2x = 8

x = 4

So one runs at 4 km/h and the other at 6 km/h.

3 0
3 years ago
Which expression is equivalent to 10f - 5f + 8 + 6g + 4? I’ll mark Brainliest :D
IrinaK [193]

Answer:

The answer is 5f + 6g +12

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
1. Identify the DEPENDENT VARIABLE in the testable
MAVERICK [17]

To identify the dependent variable in the testable, look out for the variable that is affected by the other. The variable that changes as a result of another variable is the dependent variable.

In a research study, there are typically two main variables that direct the scientific enquiry. They are:

  • Dependent Variable, and
  • Independent Variable

The independent variable causes a change in the dependent variable, i.e. the dependent variable receives the <em>effect</em>, the independent variable is the <em>cause </em>of the change.

It is very easy to identify the dependent variable in any testable hypothesis once you are able to pick out which variable is causing a change in the other.

For example, let's say the topic of a research is: <em>The Impact of Sunlight on Germination Rate of Seedlings.</em>

Here, <em>Sunlight </em>is the independent variable affecting <em>Germination Rate</em>.

The dependent variable here would be: <u><em>Germination Rate.</em></u>

Therefore, to identify the dependent variable in the testable, look out for the variable that is affected by the other. The variable that changes as a result of another variable is the dependent variable.

Learn more here:

brainly.com/question/24657192

5 0
2 years ago
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