Simplify and solve this equation: 40 + 9 +5 -12=42

Simplify the polynomial

Korolek [52]

Answer: it would be C

Step-by-step explanation:

6 0

3 years ago

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A jogger ran 3 miles due east of his house. then he ran 5 miles at a heading of 30o east of north (or 30o ne). how far is he fro

Natasha_Volkova [10]

Magnitude of the net displacement: 7.0 miles

Step-by-step explanation:

In order to find the total displacement of the man, we have to resolve each displacement along the x- and y- direction.

Taking x as positive x direction and y as positive north direction:

- The first motion is 3 miles due east, so

$A_x = 3 mi\\A_y = 0$

- The second motion is 5 miles at $30^{\circ}$ east of north, so:

$B_x = 5 sin 30^{\circ}=2.5 mi\\B_y = 5 cos 30^{\circ}=4.3 mi$

So the components of the net displacement are

$R_x = A_x + B_x = 3 + 2.5 = 5.5 mi\\R_y = A_y+B_y = 0 + 4.3 = 4.3 mi$

And so the magnitude of the net displacement is

$d=\sqrt{R_x^2+R_y^2}=\sqrt{5.5^2+4.3^2}=7.0 mi$

So, he is 7.0 miles far from the house.

Learn more about distance and displacement:

brainly.com/question/3969582

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4 0

4 years ago

1] If 221ₓ= 25₁₀ find X<br> 2] if 3ₓ + 34ₓ - 40ₓ = 0 find x<br> 3] if 23ₓ = 1111₂ find x

Olin [163]

1.

$2\cdot x^2+2\cdot x^1+1\cdot x^0=25\\2x^2+2x+1=25\\2x^2+2x-24=0\\x^2+x-12=0\\x^2+4x-3x-12=0\\x(x+4)-3(x+4)=0\\(x-3)(x+4)=0\\x=3 \vee x=-4$

The base can't be negative, therefore $x=3$ .

2.

$3\cdot x^0+3\cdot x^1+4\cdot x^0-4\cdot x^1+0\cdot x^0=0\\3+3x+4-4x=0\\x=7$

3.

$2\cdot x^1+3\cdotx^0=1\cdot 2^3+1\cdot2^2+1\cdot2^1+1\cdot2^0\\2x+1=8+4+2+1\\2x=14\\x=7$

5 0

2 years ago

The mean age of five children is 8 years 4 months. When Amina joins, the mean age becomes 8 years 5 months. How old is Amina. Wi

frosja888 [35]

Answer:8 5/12 - 8 3/4

101/12- 35/4 LCM 12 &4 is 12

101- 35/12= 66/12

=5 6/12

=5 1/2 years

Step-by-step explanation:

8 0

3 years ago

Which equation and solution can be used to solve this problem? Twenty-two less than a number is twenty-four. q + 22 = 24: Subtra

kaheart [24]

Answer:

q-22=24. Hope this helps.

Step-by-step explanation:

22 less than a number, meaning 22 is subtracted FROM an unknown variable. Going by this you would add 22 on both sides, giving you an answer of 46.

3 0

3 years ago

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