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Montano1993 [528]
2 years ago
13

Evaluate the determinant for the following matrix:

Mathematics
1 answer:
VLD [36.1K]2 years ago
3 0
The determinat of

| a     b |
|           |
|c      d |

is: a*d - b*c

So the determinant of:

|3    -5 |
|           |
|1       1 |

is 3 * 1 - 1 * (-5) = 3 + 5 = 8

Answer: option D. 8
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Eva is a kickboxing instructor who will be teaching classes at a local gym. To get certified as an instructor, she spent a total
zlopas [31]

Answer:57+51+3

Step-by-step explanation: use https://www.cymath.com/

6 0
3 years ago
What three consecutive integers equal -87?
olchik [2.2K]

Answer:

What three consecutive integers have a sum of 87? Which means that the first number is 28, the second number is 28 + 1 and the third number is 28 + 2. Therefore, three consecutive integers that add up to 87 are 28, 29, and 30. We know our answer is correct because 28 + 29 + 30 equals 87 as displayed above.

Step-by-step explanation:

Consecutive integers are as simple as 1, 2, 3!  

Integers are consecutive if one follows another.  How do we "jump" from one integer to the next?  We add 1, right?  7, 8 and 9 are three consecutive integers.  Add one to 7 to get 8 and add one more to get 9.

Now lets think about this in algebraic terms.  Lets name these consecutive integers , x, y and z.  

The problem tells us that their sum is -87.  (Recall, "sum" is just a fancy word for the answer when we add.)

x+y+z = -87  

Here is the trick!  We need to rewrite this equation so that we have only one variable.  Easy!

y is one more that x, so y= x+1

And z is one more than y, so z= y+1.  But y is also equal to (x+1)!  So z=y+1=(x+1)+1=x+2

Now we have a problem that we can solve!  x+(x+1)+(x+2)=-87.  

Combining term.:  3x+3=-87  

Subtract 3 from both sides of the equation:  3x=84

Divide each side of the equation by 3:  x=28

We have solved for x, but we are not done!  We need to find y and z.  I know you can do this.  Remember y is one more than x and z is one more than y.

Check your work!  Make sure these three consecutive numbers do in fact add up to -87.

4 0
2 years ago
81 + 2d &gt; 90, d = 2<br> TRUE OR FALSE
telo118 [61]

Answer:

False

Step-by-step explanation:

False because you plug in 2 for d and makes the equation 81 + 2x2 > 90 then it`s just simple math 2x2 is 4 making it 81 + 4 > 90 and the answer is 85 > 90 which is false

4 0
3 years ago
A triangle has sides with lengths of 65 in 72 in and 97 in is it a right triangle?
Ray Of Light [21]

Answer:

yes

Step-by-step explanation:

By pythagoras' theorem,

97^2 = 9409

65^2 + 72^2 = 9409

since 65^2 + 72^2 = 97^2, the triangle is a right angled triangle

This is a question on Pythagoras theorem. If you wish to venture further into it/understand this topic better, you may want to follow my Instagram account (learntionary), where I post some of my own notes on certain topics and also some tips that may be useful to you :)

6 0
2 years ago
Find equation of the line passing through the given point in parallel to given equation. write your answer in slope intercept fo
denpristay [2]

Answer:

  • 3) y = (7/2)x -12
  • 4) y = 3x -5
  • 7) y = (1/3)x +4/3
  • 8) y = (-4/3)x +8/3

Step-by-step explanation:

In every case, you can ...

  • replace any constant in the equation by 0
  • for point (h, k), replace x with (x-h) and y with (y-k), then simplify
  • solve for y (add the opposite of the y-term; divide by the y-coefficient)

3) -7(x-4) +2(y-2) = 0 ⇒ -7x +2y +24 = 0

... y = (7/2)x -12

4) (y+2) = 3(x-1)

... y = 3x -5

7) -(x+4) +3(y-0) = 0 ⇒ -x +3y -4 = 0

... y = (1/3)x +4/3

8) 4(x-2) +3(y -0) = 0 ⇒ 4x +3y -8 = 0

... y = (-4/3)x +8/3

7 0
3 years ago
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