Find a • b.
a = 4i + 3j, b = -4i + 4j
Answers
The required dotproduct of the given vector is given as -4.
Given that,
a = 4i + 3j, b = -4i + 4j
a • b is to be determined.
What is dot products of vector?
The dot × of twovectors is described as the sum of the products of the relevant directionalvector.
Here,
a.b = (4i + 3j).(-4i + 4j)
a.b = 4×-4 (i.i) + 3×4 (j.j) + 4×4 (i.j) + 3×-4(i.j)
a.b = -16 + 12
a.b = -4 (since i.j or j.i for dot product gives zero.)
Thus, the required dotproduct of the given vector is given as -4.
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I suppose a and b are vectors
and i and j unit's vectors
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Robert stands atop a 1,380-foot hill. He climbs down, reaching the bottom of the hill in 30 minutes. What is Robert’s average rate of elevation change in feet per minute?+460+46-46-460
What is 809 times 17 using standard algorithm? show your work
Kennedy had the expression 3(2x-3x+8). She simplified and rewrote theexpression 3(8+x). If any, what was her error?
Make it 0 on one side x2 - 2x + = 4(x2-2x +1)-3
Answers
As a result of the sale, two chairs can be purchased at the discounted price of $92.16.
After the store bought the chairs for $36, they gave it a markup of 60%. The new price is:
= Cost of chair + Markup
= 36 + (60% x 36)
= $57.60
They then reduced this price by 20%:
= Marked up price - Discount
= 57.60 - (20% x 57.60)
= $46.08
Two chairs are to be bought:
= 46.08 x 2
= $92.16
In conclusion, two chairs would cost $92.16
Find out more at brainly.com/question/18410539.
36 + 0.60(36) = 36 + 21.60 = 57.60
now they mark it down by 20%
57.60 - 0.20(57.60) = 57.60 - 11.52 = 46.08
46.08 * 2 = 92.16
Answers
Based on the information given, it can be noted that Tom will use 117 days to read the book.
How to solve a equation.
Based on the information given, we are informed that Tom starts to read a book with 490 pages today. Sundays he reads 25 pages and on all other days he reads 4 pages.
Let the number of days be represented by x. Therefore, the equation to solve the question will be:
25 + (4 × x) = 490
25 + 4x = 490
4x = 490 - 25
4x = 465
x = 465/4
x = 116.25
x = 117
Therefore, he'll use 117 days to read the book.
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The required model is attached in the image and the division of 3/4 by 3 /12 is 3.
Given that,
To draw the model to represent 3/4 divided by 3/12.
What is arithmetic?
In mathematics, it deals with numbers of operations according to the statements.
Model hs been attached below for the given problem of division,
= 3 * 4 / 3 * 12
For a rectangle space, drawing 4 column and 12 raws,
Now for 3 / 4 3 of the 4 column to be filled by red, for 3 / 12 every 3 cells in the row have been filled by red.
Calculating number of cells in 3 / 4 = 36
calculating number of cells in 3 / 12 = 12
Now ratio of the cells = 36 / 12 = 3
Thus, the required model is attached in the image and the division of 3/4 by 3 /12 is 3.
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The answer you are looking for is 1/3.
First, you must look at the denominators of each fraction, to see if you can simply divide straight across. In this case, you cannot, which means you must multiply by the reciprocal or "flipped" number. Generally when you multiply by the reciprocal, you flip the number with the smaller denominator to multiply.
So, you have 4/3 * 3/12. You then multiply straight across (4 * 3)/(3 * 12), to get an answer of 12/36, which simplified (divided by 3/3) gives you a final answer of 1/3.
I hope this helps!
Answers
The required solution is given by x = -6/7
Use the general solution to solve 5 – 6x = 8x + 17
What is equation?
equation is the relationship between variable and represented as is example of polynomial equation 5 - 6x = 8x+17.
5 - 6x = 8x+17
8x+6x = 5-17
14x=-12
x=-6/7
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⇔ 5 - 17 = 8x + 6x
⇔ -12 = 14x
⇔ x = -6/7
Answers