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RUDIKE [14]
3 years ago
10

A path for a new city park will connect the park entrance to Main Street, as shown to the right. The path

Mathematics
1 answer:
sweet-ann [11.9K]3 years ago
5 0

Main street is vertical to park entrance

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Suppose that the function g is defined, for all real numbers, as follows.
svetoff [14.1K]

Answer:

<em>a) g(-2) = 0</em>

<em>b) g(-1) =1</em>

<em>c) g(4) = 2</em>

Step-by-step explanation:

Given data

g(x) = \frac{-1}{4x+1} if x < -2

g(x) = - (x+1)^{2} +1  if -2\leq x\leq 2

g(x) = 2 if x >2

<u><em>Step( i )</em></u>:-

g(x) = - (x+1)^{2} +1  if -2\leq x\leq 2

put x = -2

g(-2) = -(-2+1)^{2} +1 = -(-1)^{2}+1 = -1+1 =0

<em>g(-2) = 0</em>

<u><em>Step(ii)</em></u>:-

g(x) = - (x+1)^{2} +1  if -2\leq x\leq 2

Put x = -1

g(-1) = -(-1+1)^{2} +1 = -(0)^{2}+1 = -0+1 =1

<em>g(-1) =1</em>

<u><em>Step(iii)</em></u>:-

g(x) = 2 if x >2

<em>g(4) = 2</em>

<em></em>

7 0
3 years ago
Help ASAP for BRAINLIEST!!!!
xenn [34]

Answer:

1/2

Step-by-step explanation:

1/4 (4x - 8) + 3x =0

distribute the 1/4

x-2+3x=0

combine like terms

-2+4x=0

move -2 to the other side [by ADDing +2 to each side

4x=2

divide [by 4 on both sides]

x=1/2

6 0
3 years ago
What is the base if the height is 6ft and the area is 14 ft on a triangle ​
insens350 [35]

Answer:

b = 4.66666667

Step-by-step explanation:

The equation for finding the area of a triangle is

0.5b x h = a

b = base

h = height

a = area

So I calculated 14 divided by 6

And got 2.3333333

And since that number is half of the base, I multiplied it by 2

2.333 x 2 ≈ 4.66666667

4 0
3 years ago
A printer takes 5mins to print 90 copies of a repor. At this rate, how many copies of the same report can it print in 1/2 hours
just olya [345]
I think it could print 540???
4 0
3 years ago
Based only on the information given in the diagram which congruence theorem or postulates would be given as reason why HEL=PME
Eduardwww [97]

I would mark answers:

HL, HA, ASA.

5 0
3 years ago
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