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2 years ago

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What times 4/9 = -8?

1 answer:

djverab [1.8K]2 years ago

3 0

Answ

This is false

Step-by-step explanation:

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Last summer,emelian decided to measure change in a swimming pools water level each week. It was hot and dry the first week and t

Ierofanga [76]

Answer:

(-8) + (+17) = -8 + 17 = 9

Step-by-step explanation:

Level of water in the first week = - 8 (the negative sign represents a decrease in inches, of the level of water)

Level of water during the second week = + 17 (the positive sign represents an increase, in inches, of the level of water).

These changes in the level of water can be modelled as sum of a positive and a negative integer as follows:

(-8) + (+17)

When adding a negative and a positive integer value, subtract the smaller value from the greater value, and retain the sign of the value that is greater.

17 is greater than 8. Therefore, subtract 8 from 17, and retain the sign of 17.

Thus:

(-8) + (+17) = -8 + 17

= 9

6 0

2 years ago

For ΔABC with A(–5, –4), B(3, –2), and C(–1, 6), M is the midpoint of

Zarrin [17]

Answer:

The proposition is true, as $\overrightarrow{MN} = (2,5)$ and $\overrightarrow {AC} = (4, 10)$ satisfies the given expression ( $\overrightarrow{MN} = \frac{1}{2}\cdot \overrightarrow{AC}$ ).

Step-by-step explanation:

Vertices of the triangle ABC are located in $A(x,y) = (-5,-4)$ , $B(x,y) = (3,-2)$ and $C(x,y) = (-1, 6)$ , respectively. By definition of midpoint, we get that M and N are located in the following coordinates:

$M(x,y) = \frac{1}{2}\cdot A(x,y) +\frac{1}{2}\cdot B(x,y)$ (Eq. 1)

$M(x,y) = \frac{1}{2}\cdot (-5,-4)+\frac{1}{2}\cdot (3,-2)$

$M(x,y) = \left(-\frac{5}{2},-2 \right)+\left(\frac{3}{2},-1\right)$

$M(x,y) = (-1,-3)$

$N(x,y) = \frac{1}{2}\cdot B(x,y) + \frac{1}{2}\cdot C(x,y)$ (Eq. 2)

$N(x,y) = \frac{1}{2}\cdot (3,-2)+\frac{1}{2}\cdot (-1,6)$

$N(x,y) = \left(\frac{3}{2},-1\right)+\left(-\frac{1}{2},3 \right)$

$N(x,y) = (1, 2)$

Then, the relative vectors between A and C, as well as M and N are, respectively:

$\overrightarrow{AC} = C(x,y)-A(x,y)$ (Eq. 3)

$\overrightarrow{AC} = (-1, 6) -(-5,-4)$

$\overrightarrow {AC} = (4, 10)$

$\overrightarrow {MN} = N(x,y)-M(x,y)$ (Eq. 4)

$\overrightarrow {MN} = (1,2)-(-1,-3)$

$\overrightarrow{MN} = (2,5)$

By getting back into (Eq. 3), we find the following the result after some algebraic handling:

$\overrightarrow {AC} = (4, 10)$

$\overrightarrow{AC} = 2\cdot (2,5)$

$\overrightarrow {AC} = 2\cdot \overrightarrow {MN}$

$\overrightarrow{MN} = \frac{1}{2}\cdot \overrightarrow{AC}$

Which proofs the given affirmation.

6 0

2 years ago

A horse had 4 15 scoops of oats in his bucket. He ate 2 1/2 scoops of oats. How many scoops of oats are left in his bucket ?

Lunna [17]

2 1/2 because if u take away 4 from 2 u get 2 and a half left

6 0

3 years ago

vector v has a horizontal vector component with magnitude 19 and a vertical vector component with magnitude 35. what is the acut

vladimir2022 [97]

9514 1404 393

Answer:

61.5°

Step-by-step explanation:

The tangent relation is useful here. The angle is opposite the vertical side and adjacent to the horizontal side of the right triangle.

Tan = Opposite/Adjacent

tan(α) = 35/19

α = arctan(35/19) ≈ 61.5°

The angle made by <em>v</em> and the positive x-axis is 61.5°.

4 0

2 years ago

A woman takes 121212 equal-sized steps. She walks a total of 10 \text { yards}10 yards10, start text, space, y, a, r, d, s, end

kramer

Answer:

30 inches

Step-by-step explanation:

She takes 12 equal sized steps and they all add up to 10 yards.

The length of each step (in yards) is:

10 / 12 = 5/6 yards

The question requires the answer in inches, therefore, we must convert this to inches:

1 yard = 36 inches

5/6 yards = 5/6 * 36 = 30 inches

Each step is 30 inches long.

5 0

2 years ago