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3 years ago

Simplify this expression.

Mathematics

1 answer:

Tresset [83]3 years ago

6 0

Answer:

Step-by-step explanation:

Second option correct

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Given: Point C is the midpoint of AB¯¯¯¯¯.

suter [353]

Answer:

See proof below

Step-by-step explanation:

If C is the midpoint of AB, then AC = CB

Given

AC=7x−10;

CB=3x+10

Then 7x - 10= 3x+10

Add 10 to both sides

7x-10+10 = 3x +10+10

7x = 3x + 20

7x - 3x = 10+10

4x = 20

x = 20/4

x = 5

Get AC

AC = 7x - 10

AC= 7(5) - 10

AC = 35-10

AC = 25 (Proved)

3 0

3 years ago

Five thousand three hundred nine divided by forty three

Marizza181 [45]

123.4651163 or rounded to 123.47

4 0

3 years ago

HELP!!! Picture included :).

jasenka [17]

Answer:

(A'B'): 3 1/2 IN.

(D'E'): 2 1/2 IN.

(R'S'): 4 IN.

Step-by-step explanation:

Just slice the numbers in half

Also i took the test.

6 0

3 years ago

Why is the answer to this integral's denominator have 1+pi^2

ss7ja [257]

It comes from integrating by parts twice. Let

$I = \displaystyle \int e^n \sin(\pi n) \, dn$

Recall the IBP formula,

$\displaystyle \int u \, dv = uv - \int v \, du$

Let

$u = \sin(\pi n) \implies du = \pi \cos(\pi n) \, dn$

$dv = e^n \, dn \implies v = e^n$

Then

$\displaystyle I = e^n \sin(\pi n) - \pi \int e^n \cos(\pi n) \, dn$

Apply IBP once more, with

$u = \cos(\pi n) \implies du = -\pi \sin(\pi n) \, dn$

$dv = e^n \, dn \implies v = e^n$

Notice that the ∫ v du term contains the original integral, so that

$\displaystyle I = e^n \sin(\pi n) - \pi \left(e^n \cos(\pi n) + \pi \int e^n \sin(\pi n) \, dn\right)$

$\displaystyle I = \left(\sin(\pi n) - \pi \cos(\pi n)\right) e^n - \pi^2 I$

$\displaystyle (1 + \pi^2) I = \left(\sin(\pi n) - \pi \cos(\pi n)\right) e^n$

$\implies \displaystyle I = \frac{\left(\sin(\pi n) - \pi \cos(\pi n)\right) e^n}{1+\pi^2} + C$

6 0

2 years ago

a family buys a car for $20,000. the value of the car decreases about 20% each year. after 6 years, the family decides to sell t

Neporo4naja [7]

No, the car is losing value not gaining it.

7 0

3 years ago

Read 2 more answers