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Nana76 [90]
3 years ago
13

Evaluate the sum of the first ten terms of the arithmetic sequence.

Mathematics
1 answer:
Basile [38]3 years ago
5 0

21 \times 10 = 2100
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7/12 + 3/4 in simplest form?
Mariulka [41]
Well first we have to add 7/12 and 3/4 together which is 7/12+3/4=4/3. Now we have to reduce that to simplest form. Which would be 1 1/3 is 7/12+3/4 in simplest form!
4 0
3 years ago
Read 2 more answers
What does it mean for a differential equation to be autonomous?
andrew11 [14]
The term "autonomous" refers to an ordinary differential equation that relates the derivatives of the dependent variable as a function *only* of the dependent variable. In other words, the ODE doesn't explicitly depend on the independent variable.

Examples:

y'=y^2-1 is autonomous

y'=y^2-1+x is *not* autonomous
7 0
2 years ago
Felicia is solving the expression -5(3x+2)+10x. Gregory is solving the expression -12-4x+?+?x. Both students simplified their an
densk [106]

Answer:

see the explanation

Step-by-step explanation:

we have

<em>Felicia</em>

-5(3x+2)+10x

Apply distributive property

-5(3x)-5(2)+10x

-15x-10+10x

Combine like terms

-5x-10

Let

a ----> the missing term with coefficient x in Gregory's expression

b ----> the missing constant  term in Gregory's expression

so

-12-4x+ax+b

equate Gregory's expression to Felicia's expression

-12-4x+ax+b=-5x-10

so

-12+b=-10 ----->b=2

-4x+ax=-5x ------> a=-1

so

Gregory's expression is

-12-4x+2-x

therefore

The missing terms are 2 and -x

7 0
3 years ago
Find the distance between the two given points. (-6, -5) and (2, 0)
Ipatiy [6.2K]

Answer:

The answer is

<h2>\sqrt{41}  \:  \:  or \:  \:  \: 6.403 \:  \:  \: units</h2>

Step-by-step explanation:

The distance between two points can be found by using the formula

d =  \sqrt{( {x1 - x2})^{2} +  ({y1 - y2})^{2}  }  \\

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(-6, -5) and (2, 0)

The distance is

d =  \sqrt{ ({ - 6 - 2})^{2} +  ({ - 5 - 0})^{2}  }  \\  =  \sqrt{ ({ - 4})^{2}  +  ({ - 5})^{2} }  \\  =  \sqrt{16 + 25}  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:

We have the final answer as

\sqrt{41}  \:  \:  or \:  \:  \: 6.403 \:  \:  \: units

Hope this helps you

4 0
3 years ago
Angles 1 and 2 are complementary and congruent. What is the measure of angle 1
ExtremeBDS [4]

Answer:

45 i think i dont know

Step-by-step explanation:

m

∠

2

=

x

holds true.

Complementary angles have a sum of

90

˚

. Thus, if

∠

1

and

∠

2

are complementary,

m

∠

1

+

m

∠

2

=

90

Substitute the equivalent forms of these angle measurements

(

x

,

x

)

.

x

+

x

=

90

Solve algebraically.

2

x

=

90

x

=

45

Each angle is

45

˚

.

6 0
3 years ago
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