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stealth61 [152]
4 years ago
10

Find a • b. a = 4i + 3j, b = -4i + 4j

Mathematics
1 answer:
sveta [45]4 years ago
5 0
Hello,

I suppose a and b are vectors
and i and j unit's vectors

\vec{i}*\vec{i}=1\\
\vec{j}*\vec{j}=1\\
\vec{i}*\vec{j}=0\\

\vec{a}\ .\  \vec{b}=(4\vec{i}\ +3 \vec{j}).(-4\vec{i}\ +4 \vec{j})\\
=-16-3*4*0+4*4*0+12=-4
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Please help!!
weqwewe [10]

Answer:

 The vertex of the parabola   = (-7 , -4)  

Step-by-step explanation:

<u><em>Step(i):-</em></u>

Given that the parabola  y = 4 x² + 56 x +192

                                 y = 4 (x² + 14 x + 48 )

                                 y = 4 ( x² + 2 ×  7 (x) + 49-1)

                                 y = 4 ( x² + 2 ×  7 (x) + 49)- 4

we apply the formula

(a +b)² = a² + 2ab + b²

                                y = 4 ( x + 7 )² - 4

<u>Step(ii):-</u>

<em>The general form of the parabola in algebraically</em>

<em>                               y = a ( x-h)² +k</em>

<em>The equation </em>

<em>                           y = 4 ( x + 7 )² - 4</em>

                          y = 4 ( x-(-7))² - 4

  The vertex of the parabola (h,k) = (-7 , -4)  

<u>Final answer:-</u>

The vertex of the parabola  = (-7 , -4)  

8 0
3 years ago
VOLUME A standard shipping box measures x inches high. The width is 3.5 inches more than the height, and the length is 3 inches
Allushta [10]

Answer:

62.333 inches

Step-by-step explanation:

To find the value of x, or the height of the object, we can set up an equation to solve for the missing variable. This is shown below:

x*3.5*3=561 cubic inches

To solve for X, we divide the 3.5 over to the other side, resulting in x*3 = 187

To get the x by itself, we divide both sides by 3 to remove the 3 from the left side of the equation.

We are left with x = 62.333 inches.

Therefore, the height of the box is 62.333 inches

7 0
3 years ago
1. A mason is building a rectangular foundation wall that is to be 75 feet by 40 feet. What is the total distance around the wal
Nady [450]
1.Is 230ft and 2.Is 50miles per hour
5 0
4 years ago
Help me<br><br>i need help with this​
weeeeeb [17]
16. 96 is 75% of 128
18. 200%
5 0
3 years ago
A straight angle has four angles. angle 1=39º, angle 2=54º, angle 3=48º, what is the measure of angle 4 ?
Ludmilka [50]

Answer:

39 degrees

Step-by-step explanation:

Add: 39+54+48=141

180 (degrees of a straight angle) minus 141=39

39 degrees

Hope I helped!! :)

Brainliest?!?!

Stay safe and have a good day/night/afternoon!!!

8 0
3 years ago
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