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vovangra [49]
3 years ago
7

H + 6.9 =11.4 h= What is h

Mathematics
1 answer:
Zinaida [17]3 years ago
4 0
h+6.9=11.4 \\ 
 \\ 11.4-6.9=4.5 \\ 
 \\ h=4.5
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Given that p=9i+12j and q=-6i-8j. Evaluate |p-q|-{|p|-|q|}
krok68 [10]

Answer:

|p-q|-(|p|-|q|) = 20

Step-by-step explanation:

First let's find the value of 'p-q':

p - q = 9i + 12j - (-6i - 8j)\\p - q = 9i + 12j + 6i + 8j\\p - q = 15i + 20j\\

To find |p-q| (module of 'p-q'), we can use the formula:

|ai + bj| = \sqrt{a^{2}+b^{2}}

Where 'a' is the coefficient of 'i' and 'b' is the coefficient of 'j'

So we have:

|p - q| = |15i + 20j| = \sqrt{15^{2}+20^{2}} = 25

Now, we need to find the module of p and the module of q:|p| = |9i + 12j| = \sqrt{9^{2}+12^{2}} = 15

|q| = |-6i - 8j| = \sqrt{(-6)^{2}+(-8)^{2}} = 10

Then, evaluating |p-q|-{|p|-|q|}, we have:

|p-q|-(|p|-|q|) = 25 - (15 - 10) = 25 - 5 = 20

7 0
2 years ago
If the discriminant is 22, then the roots of the quadratic equation are ________________.
Allisa [31]

Since the discriminant given has a value that is greater than zero, hence  the roots of the quadratic equation are real and distinct.

<h3>Discriminant of a quadratic equation</h3>

Quadratic equation is an equation that has a leading degree of 2. The discriminant is used to determine the nature of the equation

If D > 0 , the roots of the quadratic equation are real and distinct.

If D < 0 , the roots of the quadratic equation are complex

Since the discriminant given has a value that is greater than zero, hence  the roots of the quadratic equation are real and distinct.

Learn more on discriminant here: brainly.com/question/2507588

#SPJ1

4 0
1 year ago
A stock market fell 40 points each day for
Montano1993 [528]

Answer: -120

Step-by-step explanation:

-40 X 3 = -120

7 0
2 years ago
How old is a dog when they are 40 in human years?
Scorpion4ik [409]

Answer:

280 years old

Step-by-step explanation:

to determine a dog's age in dog or human years, you divide or multiply by 7

40x7=280 years

4 0
3 years ago
Can anyone help me figure this out? It’s not 75 x 0.20.. thank you :) I’ll give Brainly!!
cluponka [151]

Answer:

60

Step-by-step explanation:

Dividends are paid quarterly and it wants the annual amount, so you have to mulitply what you originally got by 4

or

75*.2*4=60

8 0
2 years ago
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