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erik [133]
3 years ago
12

How do I turn those numbers into a mixed number?

Mathematics
1 answer:
BigorU [14]3 years ago
8 0
Number 2 is already a mixed number. But it says mixed number as a decimal. So -1 29/40 as a decimal is -1.725.
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If Vector u=(5,-7) and v=(-11,3), 2v-6u=_____ and ||2v-6u||≈_____
Sauron [17]
<h2>Answer:</h2>

2\vec{v}-6\vec{u}=(-52,48) \\ \\ ||2\vec{v}-6\vec{u}||=75.28}

<h2>Step-by-step explanation:</h2>

In this problem we have two vectors:

\vec{u}=(5,-7) \ and \ \vec{v}=(-11,3)

So we need to find two things:

2\vec{v}-6\vec{u}

and:

||2\vec{v}-6\vec{u}||

FIRST:

In this case we have the multiplication of vectors by scalars. A scalar is a simple number, so:

2\vec{v}-6\vec{u} \\ \\ Replace \ \vec{v} \ and \ \vec{u} \ by \ the \ given \ vectors: \\ \\ 2(-11,3)-6(5,-7) \\ \\ Multiply \ each \ component \ by \ the \ corresponding \ scalar:\\ \\ (2\times (-11),2\times 3)+(-6\times 5,-6\times (-7)) \\ \\ (-22,6)+(-30,42) \\ \\ Sum \ of \ vectors: \\ \\ (-22-30,6+42) \\ \\ \therefore \boxed{(-52,48)}

SECOND:

If we name:

\vec{w}=2\vec{v}-6\vec{u}

Then, ||2\vec{v}-6\vec{u}|| is the magnitude of the vector \vec{w}. Therefore:

||\vec{w}||=||2\vec{v}-6\vec{u}|| \\ \\ ||\vec{w}||=||(-52,48)|| \\ \\ ||\vec{w}||=\sqrt{(-58)^2+48^2} \\ \\ ||\vec{w}||=\sqrt{3364+2304} \\ \\ ||\vec{w}||=\sqrt{5668} \\ \\ \boxed{||\vec{w}||=75.28}

5 0
3 years ago
Read 2 more answers
Simplify the following expressions by distributing ( Its three questions by the way)
horrorfan [7]

Answer:

-4w+32

-10p+40

-2g+4

Step-by-step explanation:

distribute

a negative minus a negative is a positive

<h2><em><u>xoxo, </u></em></h2><h2><em><u>your highness...</u></em></h2>
7 0
3 years ago
Simplify 4^2+6(.5)-2^
Alborosie
Following PEMDAS

Step 1: 16+6(.5)-8
Step 2:16+3-8
Step3: 19-8
Step 4:=8

————

Step 1: 10-(3+4)
Step 2: 10-(7)
Step3: =3
8 0
3 years ago
Read 2 more answers
If GHJ is equal to LMK, with a scale factor of 5:6, find the perimeter of GHJ.
xxTIMURxx [149]

Answer:  Weeeell,  35

Step-by-step explanation:

1. By definition, the perimeter of a triangle is the sum of the lenght of each side.

2. Then, the perimeter of the triangle LMK is:

P_{LMK}=14+17+11\\P_{LMK}=42

3. If both triangles are congruent and the scale factor is 5:6 (Which you can rewrite as a fraction: 5/6), you must multiply the perimeter of the triangle   LMK by this scale factor.

4. Then, you have that the perimeter of the triangle GHJ is:

P_{GHJ}=42*\frac{5}{6}=35

<em><u>What I have to say:</u></em>

<u><em>I hope I helped you, and pls mark brainliest. Have a great day BYYYE!!!!!</em></u>

4 0
3 years ago
On a coordinate plane, A line is drawn from point Fernando to point Maria. Fountain is labeled in between the 2. Fernando is at
agasfer [191]

The location of the fountain as described in the task content is; (-1, -0.5).

<h3>What is the location of the Fountain?</h3>

According to the task content, the locations of Fernando and Maria are given as; (-4, -2) and (4,2) respectively and the ratio of division is expected to be; 5: 3.

Hence, the coordinates of the fountain can be evaluated as;

x = (4) - (4-(-4)) × (5/8) = -1.

y = 2 - (2-(-2)) × (5/8) = -0.5

Hence, it follows that the coordinates of the fountain location is; (-1, -0.5) since the fountain is closer to Fernando than Maria.

Read more on dividing lines by ratios;

brainly.com/question/21108138

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8 0
2 years ago
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