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lubasha [3.4K]
3 years ago
5

Vector v has magnitude5 units, w has magnitude 3, and the acute angle between them is 45°.

Mathematics
1 answer:
givi [52]3 years ago
8 0

Answer:

25 units

Step-by-step explanation:

No matter the direction of the vector, if we multiply the vector v by -5v, the magnitude can be calculated as follows:

|-5*V|

Due to properties of absolute value:

|-5*V|=5*|V|=5*(5units) = 25 units

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Find an equation of the line that passes through the given points. (let x be the independent variable and y be the dependent var
Makovka662 [10]

The 2-point form of the equation for a line can be used.

... y = (y₂-y₁)/(x₂-x₁)·(x -x₁) +y₁

Filling in the given information, you have

... y = (4-1)/(4-3)·(x-3) +1 . . . . an equation for the line

... y = 3x -8 . . . . . . . . . . . . . . simplified to slope-intercept form

... 3x -y = 8 . . . . . . . . . . . . . .. rearranged to standard form

5 0
4 years ago
Triangle ABC is reflected over the X axis. TRIANGLE ABC has points A(10,2) B(9,5) C(6,4). What is the C coordinate
gavmur [86]
1. Let A(a,b) be a point in the coordinate axis. The reflection of A with respect to the x-axis is the point A'(a, -b).

2. So the reflection of C(6, 4) is C'(6, -4)

3. Remark, a picture is always helpful when dealing with reflections.

4 0
3 years ago
The length of a rectangle is 2 Inches less than three times its width, and its perimeter is 36 Inches. Find the width of the
elixir [45]

Answer: Width = 5 inches

Concept:

Here, we need to know the idea of the perimeter.

A perimeter is a path that encompasses/surrounds/outlines a shape.

Perimeter of rectangle = 2 (w + l)

w = width

l = length

If you are still confused, please refer to the attachment below for a graphical explanation.

Solve:

w = w

l = 3w - 2

P = 36 inches

<u>Given formula</u>

P = 2 (w + l)

<u>Substitute the value into the formula</u>

36 = 2 (w + 3w - 2)

<u>Simplify values in the parentheses</u>

36 = 2 (4w -2)

<u>Divide 2 on both sides</u>

36 / 2 = 2 (4w - 2) / 2

18 = 4w - 2

<u>Add 2 on both sides</u>

18 + 2 = 4w - 2 + 2

20 = 4w

<u>Divide 4 on both sides</u>

20 / 4 = 4w / 4

w = 5

Hope this helps!! :)

Please let me know if you have any questions

5 0
3 years ago
A child that is 1.4 meters tall is standing next to a flagpole. The child's shadow is 1.2 meters long. At the same time, the sha
koban [17]

The flag pole is 8.75 \: m or write it as 9 \: m tall.

Step-by-step Explanation:

Let "p" be the height of the flag pole.

The ratio of the child height to the pole height is the same as the ratios of their respective shadows, so,

\frac{1.4}{p} =  \frac{1.2}{7.5}

Now, Cross multiply :-

1.2 \times p = 1.4 \times 7.5

→ 1.2 \times p = 10.5

→ p =  \frac{10.5}{1.2}

→ p = 8.75

This 8.75 can be rounded off to 9 as it ends with .75

So, the flag pole is <u>9 metres</u> tall.

5 0
2 years ago
B
klio [65]
Sqrt of 125
10^2 +b^2= 15^2
100 +b^2=225
B^2=125
No perfect square for 125 so leave it in radical form
3 0
3 years ago
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