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3 years ago

Match the equation with the step needed to solve it.

1 answer:

3 0

1 subtract 1 2m - 1 = 3m
2 subtract 2 2m = 1 + m 
3 subtract m m - 1 = 2 
4 add 2 + m = 3 
5 subtract 2m -2 + m = 1 
6 add 1 3 = 1 + m
1.5.
2.4
3.1
42
56
63

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Fill in the blank. (5x)2 a0x2

Yuki888 [10]

Answer: $a_0=25$

Step-by-step explanation:

It is given that, $(5x)^2=a_0x^2$

We need to find the value of $a_0$

As $(5x)^2=a_0x^2$

Solving LHS

$25x^2=a_0x^2$

Now comparing the coefficients of $x^2$

In LHS the coefficient of $x^2$ is 25

In RHS the coefficient of $x^2$ is $a_0$

It implies that, $a_0=25$

So, the value of $a_0$ is 25.

5 0

2 years ago

The value of the definite integral / 212x – sin(x) dx / 122x-sin(x) is

blondinia [14]

Hi there!

$\boxed{= 70 + cos(12) - cos(2) \approx 71.26}$

$\int\limits^{12}_{2} {x-sin(x)} \, dx$

We can evaluate using the power rule and trig rules:

$\int x^n = \frac{x^{n+1}}{n+1}$

$\int x = \frac{1}{2}x^{2}$

$\int -sin(x) = cos(x)$

Therefore:

$\int\limits^{12}_{2} {x-sin(x)} \, dx = [\frac{1}{2}x^{2}+cos(x)]_{2}^{12}$

Evaluate:

$(\frac{1}{2}(12^{2})+cos(12)) - (\frac{1}{2}(2^2)+cos(2))\\= (72 + cos(12)) - (2 + cos(2))\\\\= 70 + cos(12) - cos(2) \approx 71.26$

3 0

2 years ago

(15points) Please help me with this bonus!! I really need help!!

jeka57 [31]

Solve each equation separately:

(-1, 3) Has to be a point that fits both equations

y = 2x + ____

Plug in Values:

3 = 2(-1) + ____

3 = -2 + ____

___ = 5

First Blank: 5

y = ___x - 1

Plug in Values:

3 = ___(-1) - 1

4 = ___(-1)

___ = -4

Second Blank: -4

7 0

2 years ago

Read 2 more answers

Add 3 5/12 + 2 5/9 . Simplify the answer and write as a mixed number.

Kipish [7]

5 35/36, solving steps attached below

3 0

3 years ago

Petra jogs 3 miles in 30 minutes. At this rate, how long would it take her to jog 7 miles?

NikAS [45]

30 minutes / 3 miles = 10 minutes for 1 mile

7 miles * 10 minutes per mile = 70 minutes total to run 7 miles

8 0

2 years ago