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ivolga24 [154]
3 years ago
13

Find the sum of the following infinite geometric series, if it exists.

Mathematics
2 answers:
FinnZ [79.3K]3 years ago
5 0
S=Asub1/1-r
=1.02/1-2
=1.02/-1
=-1.02
Paha777 [63]3 years ago
4 0
<span>Indefinite pronouns may replace nouns used as subjects, predicate nouns, direct objects, indirect objects, objects of a preposition, and appositives.</span>
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For what value of c does x^2−2x−c=4 have exactly one real solution?<br> PLEASE HELP!!!!!!!
Paul [167]

Answer:

-5

Step-by-step explanation:

Moving all terms of the quadratic to one side, we have

x^2-2x-(c+4)=0.

A quadratic has one real solution when the discriminant is equal to 0. In a quadratic ax^2+bx+d, the discriminant is \sqrt{b^2-4ad}.

(The discriminant is more commonly known as \sqrt{b^2-4ac}, but I changed the variable since we already have a c in the quadratic given.)

In the quadratic above, we have a=1, b=-2, and d=-(c+4). Plugging this into the formula for the discriminant, we have

\sqrt{(-2)^2-4(1)(-(c+4)).

Using the distributive property to expand and simplifying, the expression becomes

\sqrt{4-4(-c-4)}=\sqrt{4+4c+16}\\~~~~~~~~~~~~~~~~~~~~~~=\sqrt{20+4c}\\~~~~~~~~~~~~~~~~~~~~~~=\sqrt{4}\cdot\sqrt{5+c}\\~~~~~~~~~~~~~~~~~~~~~~=2\sqrt{c+5}.

Setting the discriminant equal to 0 gives

2\sqrt{c+5}=0.

We can then solve the equation as usual: first, divide by 2 on both sides:

\sqrt{c+5}=0.

Squaring both sides gives

c+5=0,

and subtracting 5 from both sides, we have

\boxed{c=-5}.

3 0
2 years ago
Please help this is due in 20 minutes
Allushta [10]

Answer:

1.SAS, ASA,

2. Not congruent

3.C

4. If you could screenshot the whole page I can give tell you what it is.

3 0
3 years ago
What’s the cube root of -9
Aneli [31]
It might be -3 because 3•-3 is -9?
7 0
3 years ago
Which Greek geometer founded a philosophical society that devoted itself to the study of mathematics?'
Luba_88 [7]

Answer:

Pythagoras

Step-by-step explanation:

Pythagoras

6 0
3 years ago
For the given expression identify the terms like terms coefficient and constant terms then simplify the expression -8c+-c+1
boyakko [2]

Answer:

The simplified expression is : -9c +1

Step-by-step explanation:

The like terms are -8c and -c

The constant term is 1

The simplified expression is :

-8c + -c + 1 = -9c +1

6 0
3 years ago
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