All categories

3 years ago

Given vectors a = <9, 9> and b = <–4, 7>, find 3a − 2b

Mathematics

1 answer:

scoundrel [369]3 years ago

8 0

Answer:

Step-by-step explanation:

Lets review vector properties:

Let vector A=<a,b> and B=<c,d> and let "c" be a constant, then:

cA = c<a,b> = <ca,cb>
A+B = <a,b> + <c,d> = <a+c,b+d>

Now, let's do the vector operation shown:

$3a-2b\\=3-2\\=+\\=\\=$

This is the vector after the operations shown.

You might be interested in

What is the sum of the expression shown below? (x + 5) + (x² − 6x + 20) Select one: A. x2 − 5x + 25 B. 2x2 + 9x − 15 C. x2 + 6x

harkovskaia [24]

Answer:

A. x2 - 5x + 25

Step-by-step explanation:

4 0

3 years ago

Simplify the number using the imaginary unit i square root of -98

antiseptic1488 [7]

Answer:

$\sqrt{-98}=7i\sqrt{2}$

Step-by-step explanation:

We wish to simplify:

$\sqrt{-98}$

We can rewrite it as such:

$=\sqrt{-1\cdot 98} =\sqrt{-1\cdot 49\cdot2}=\sqrt{-1}\cdot\sqrt{49}\cdot\sqrt{2}$

Hence:

$=i(7)\sqrt{2}$

Therefore:

$\sqrt{-98}=7i\sqrt{2}$

3 0

3 years ago

Read 2 more answers

A study regarding the relationship between age and the amount of pressure sales personnel feel in relation to their jobs reveale

djyliett [7]

Answer and Step-by-step explanation:

a) H o : there is no relation between job pressure and age

H 1: there is a relation between job pressure and age

b) See file attached.

c) Test statistic: For the given categorical data, we apply the x² — test Test statistic is 2.19

d) The test statistic value x² = 2.19 < 16.81, we accept the null hypothesis. Therefore, we conclude that there is no relationship between job pressure and age.

Download txt

6 0

3 years ago

The following number belongs to which set of numbers 1.4 repeating

matrenka [14]

We need to determine which set of numbers does the given number belong to. The given number is 1.4 where 4 is repeating.

We know that any number that can be written in $\frac{p}{q}$ form, where p and q are integers and q is nonzero, is called a rational number.

Any decimal number with repeating values can be expressed in $\frac{p}{q}$ form. The given number can be expressed as ratio of two integers as: $\frac{13}{9}$ .

Therefore, the given number belongs to the set of rational numbers.

3 0

4 years ago

Please help me I need help

rodikova [14]

On which one? Did you need help with?

5 0

3 years ago

Read 2 more answers