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zmey [24]
3 years ago
12

PLEASE HELP!!!! Given f(x).... what is lim f(x)?

Mathematics
1 answer:
irakobra [83]3 years ago
5 0

Answer:

\pi

Step-by-step explanation:

Lim_{x \to\pi} f(x)

=Lim_{x \to\pi} \pi

(\because for\: x =\pi, \: f(x) = \pi)

= \pi (Applying limit)

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Replace ∗ with a monomial so that the expression can be rewritten as a square of a sum or a difference: 25a^2+ ∗ + 1/4 b^2
zavuch27 [327]

Answer:

be rewritten as a square of a sum

Step-by-step explanation:

4 0
3 years ago
Please find the answers below
spayn [35]

Answer:

option 3 is the correct.....

Step-by-step explanation:

multiplying all the algebraic expressions

volume of cuboid = 3x (x+3)(x+1)

= 3x³ + 12x² + 9x

3 0
3 years ago
jonathan goes to th store and purchases 3 pencils for 0 .28 each, and x number of erasers for 0.38each write an expression that
Anestetic [448]

Keywords

linear equation, variables

Step 1

Define the <u>variables</u>

Let

x-----> number of erasers

y-----> total cost

we know that

y=3(0.28)+(0.38)x

y=0.84+(0.38)x  ------> this is the <u>linear equation</u> that represent the situation

therefore

the answer is

y=0.84+(0.38)x

8 0
3 years ago
Given that SQ¯¯¯¯¯ bisects ∠PSR and ∠SPQ≅∠SRQ, which of the following proves that PS¯¯¯¯¯≅SR¯¯¯¯¯?
yanalaym [24]

Step-by-step explanation:

It is given that ∠SPQ≅∠SRQ

.

The figure shows the same triangles P Q S and R Q S as in the beginning of the task. Angles S P Q and S R Q are highlighted in red.

It is also given that SQ⎯⎯⎯⎯⎯

bisects ∠PSR

.

By the definition of angle bisector, ∠PSQ≅∠QSR

.

The figure shows the same triangles P Q S and R Q S as in the beginning of the task. Angles P S Q and R S Q are congruent and highlighted in red.

△PQS

and △RQS share a common side SQ⎯⎯⎯⎯⎯, and SQ⎯⎯⎯⎯⎯≅SQ⎯⎯⎯⎯⎯

by the Reflexive Property of Congruence.

The figure shows the same triangles P Q S and R Q S as in the beginning of the task. Segment S Q is highlighted in red.

Two angles, ∠SPQ

and ∠PSQ, and a nonincluded side, SQ⎯⎯⎯⎯⎯, of △PQS are congruent to two angles, ∠SRQ and ∠QSR, and a nonincluded side, SQ⎯⎯⎯⎯⎯, of △RQS

.

The figure shows the same triangles P Q S and R Q S as in the beginning of the task. Angles P S Q and R S Q are highlighted in red. Angles S P Q and S R Q are highlighted in red. Side S Q is highlighted in blue.

So, △PQS≅△RQS

by the Angle-Angle-Side (AAS) Congruence Theorem.

PS⎯⎯⎯⎯⎯

and SR⎯⎯⎯⎯⎯ are corresponding sides of congruent triangles, △PQS and △RQS. So, PS⎯⎯⎯⎯⎯≅SR⎯⎯⎯⎯⎯

by CPCTC.

The figure shows the same triangles P Q S and R Q S as in the beginning of the task. Sides S R and S P are congruent and highlighted in red.

Translate these six statements and reasons into a 2

-column proof,

1. ∠SPQ≅∠SRQ

(Given)

2. SQ⎯⎯⎯⎯⎯

bisects ∠PSR

. (Given)

3. ∠PSQ≅∠QSR

(Def. of ∠

bisect)

4. SQ⎯⎯⎯⎯⎯≅SQ⎯⎯⎯⎯⎯

(Reflex. Prop. of ≅

)

5. △PQS≅△RQS

(AAS Steps 1, 3, 4)

6. PS⎯⎯⎯⎯⎯≅SR⎯⎯⎯⎯⎯

(CPCTC)

There you go

4 0
3 years ago
A stoplight has the following cycle: green for 25 seconds, yellow for 4 seconds, and red for 2 minutes. What is the probability
balu736 [363]

Answer:

Approximately = 0.17

Step-by-step explanation:

5 0
3 years ago
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