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4 years ago

8

-3 (2y+8y)

" - 3(2y + 8y) " align="absmiddle" class="latex-formula">

1 answer:

Zanzabum4 years ago

6 0

$-3(2y+8y)=-3(10y)=-30y$

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8. Point Mis 6 units away from the origin. Circle the letter by each pair of possible coordinates. A. (3.0) B. (4.2) C. (5,3) D.

Alex

9514 1404 393

Answer:

D. (0, 6)

Step-by-step explanation:

The origin is where the axes cross. The coordinates of that point are (0, 0). The distance of a point (x2, y2) from point (x1, y1) is given by the distance formula ...

d = √((x2 -x1)² +(y2 -y1)²)

When (x1, y1) = (0, 0), this reduces to ...

d = √(x² +y²)

We want to find (x, y) such that d=6. This can be a little easier if we square both sides of the equation to eliminate the radical.

x² +y² = 6² = 36

This is the equation of a circle of radius 6 centered at the origin: all points that are distance 6 from the origin. So, any point on the circle will be at a distance of 6 from the origin.

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The sum of squares in each case is ...

A. 3² +0² = 9 . . . inside the circle

B. 4² +2² = 20 . . . inside the circle

C. 5² +3² = 34 . . . inside the circle

D. 0² +6² = 36 . . . on the circle at a distance of 6 from the origin

E. 4² +4² = 32 . . . inside the circle

F. 1² +5² = 26 . . . inside the circle

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3 years ago

The length and width of a rectangular room are measured to be 3.955±0.005m. Calculate the area of the room and its uncertainty i

Margarita [4]

Answer:

The area of the room and its uncertainty in square meters is:

15.642±0.040 $m^2$

Step-by-step explanation:

We know the area of a rectangular room is the multiplication of the length and width:

$Area= 3.955m*3.955m\\Area= 15.642 m^2$

Now we need to know the uncertainty, the uncertainty of a multiplication is:

$\frac{δ_a}{|Area|} =\frac{δ_L}{|L|}+\frac{δ_W}{|W|}$ (1)

$δ_A$ : Area uncertainty

$δ_L$ : Length uncertainty

$δ_W$ : Width uncertainty

A: Area of the room

L: Length

W: Width

Clearing the uncertainty of the area:

$δ_A=(\frac{δ_x}{|x|}+\frac{δ_y}{|y|})*Area$ (2)

$δ_A=(\frac{0.005}{|3.955|}+\frac{0.005}{|3.955|})*15.642 m^2$

$δ_A= 0.040 m^2$

The area of the room and its uncertainty in square meters is:

15.642±0.040 $m^2$

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3 years ago

Max can spend up to $9 on lunch. He wants to buy a turkey sandwich, bottle of water, and x pounds of potato salad. Write and sol

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4.25+2.25+4x is less than or = to 9

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3 years ago

The expression c - 0.25 can be used to find th ecost of an item on sale for 25% off. Which expression is equaivalent to c - 0.25

just olya [345]

The Answer is 0.0636 c

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4 years ago

How do you simplify 9/12

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9 ÷ 12 = 0.75

Let’s check our work: 0.75 x 12 = 9

Therefore, the answer is 0.75

Hope this helps

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3 years ago

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