Solve the system of linear equations using the Gauss-Jordan elimination method.
2x + y − 2z = −3
x + 3y − z = −4
3x + 4y − z = 5
(x, y, z) =

Answer:

Length SD is greater than length DM.

Step-by-step explanation:

We know that the measure of the opposite angle and a side are related, so by determining which angle is bigger, we can discover which side is longer.

Angle SUD is greater than angle MUD. Angle SUD is the opposite angle to SD, and angle MUD is the opposite angle to DM. Therefore, SD is greater than DM.

Answer/Step-by-step explanation  (ac > b² or b² < ac. )

A/c to question, we have to show:-

b² >ac in A.P ........ (1)

b² = ac in G.P .....(2)

b² < ac in H.P. ..... (3)

b = a+c/2 (A.P)

b = √ac ( G.P)

b = 2ac/a+c (H.P)

In A.P :

b² > ac = b² - ac

= (a+c/2)² - ac

= (a²+2ac+c²/4) - ac  = a² + 2ac + c² - 4ac / 4

= a² - 2ac + c² / 4  = ( a - c ) ² / 4 > 0  Hence, b²>ac

In G.P:-

b = √ac

Hence, b² = ac

In H.P :-  b² < ac = ac > b²  = ac - b²  = ac - ( 2ac / a+c)

= ac(a+c) - 2ac / a+c

= a²c + ac² - 2ac / a+c

= ac(2ac - 2) / a+c > 0

Hence, ac > b² or b² < ac.

Answer:

2

Step-by-step explanation:

To find the scale factor of a dilation, we first find two corresponding sides. For example, the leftmost side of the black shape corresponds with the leftmost side of the blue shape. The side on the black shape measures 2 units while the side on the blue shape measures 4 units.

Now, we divide the length of the side taken from the figure by the length of the side taken from the original shape.

4/2=2

Therefore, the scale factor of the dilation is 2.

I hope this helps!

Answer:

15- =18/ 1678s 2792 - 2- =22

Step-by-step explanation:

Answer:

48

Step-by-step explanation:

Dividing two fractions is the same as multiplying the first fraction by the reciprocal (inverse) of the second fraction.

Take the reciprocal of the second fraction by flipping the numerator and denominator and changing the operation to multiplication. Then the equation becomes

81×61=?

For fraction multiplication, multiply the numerators and then multiply the denominators to get

8×61×1=481

Since 48 divided by 1 equals 48 then,

481=48

Therefore:

81÷16=48

hope this helps

Answer:

[tex]2(x+4)[/tex] is a product

Step-by-step explanation:

Given

[tex]2(x+4)[/tex]

Required

Select a true statement

The expression can be rewritten as:

[tex]2 * (x+4)[/tex]

When we split the expression to 2, we have:

[tex]Term\ 1 = 2[/tex]

[tex]Term\ 1 = x + 4[/tex]

The * between both terms implies that the expression is a product.

And it has 2 terms.

Answer:

Step-by-step explanation:

1) 97 + x = 64 + 27          {Exterior angle property}

    97 + x = 91

            x = 91 - 97

          x = -6

2) 4x + 17 + 80 + x + 23 = 180   {Angle sum property of triangle}

 4x + x + 17 +80 + 23 = 180

                 5x + 140   = 180

                             5x = 180 - 140

                              5x = 40

                                 x = 40/5

                                x = 8

Incomplete question. Answered based on full image description of the prism.

Answer:

A. is an edge

B. a vertex

C. a face

Answer:

Edge

Vertex

Face

Step-by-step explanation:

Correct On edge

A rectangular prism. A is an edge, B is a vertex, and C is a face.

Label the highlighted parts of this prism.

A is  

✔ an edge

.

B is  

✔ a vertex

.

C is  

✔ a face

.

Answer:

$18.72

Step-by-step explanation:

I did the math Im pretty sure this is the correct answer!

Answer:

It mus be 70 because you half 140 hence its called 'half life'

Answer:

58 yards^2

Step-by-step explanation:

You want to break this irregular shape into simple shapes. You can make a rectangle with the sides of 4 and 6 yards, whose are is 24 yards^2.

Then you can do the rectangle on the opposite side, whose sides are 4 and 6 yards, whose are is 24 yards^2 again.

Then the final rectangle has the sides of 5 and   2 yards, whose area is 10 yards^2.

If you add it all up, you will get 58 yards^2.

Answer:

please make it

Step-by-step explanation:

if you are talkin abt place value

7*100,000

Answer:

[tex]h = \frac{S - 2B}{P}[/tex]

Step-by-step explanation:

Given

[tex]S=Ph + 2B[/tex]

Required

Select an equivalent expression (see attachment)

[tex]S=Ph + 2B[/tex]

Subtract 2B from both sides

[tex]S - 2B = Ph + 2B - 2B[/tex]

[tex]S - 2B = Ph[/tex]

Divide both sides by P

[tex]\frac{S - 2B}{P} = \frac{Ph}{P}[/tex]

[tex]\frac{S - 2B}{P} = h[/tex]

Reorder

[tex]h = \frac{S - 2B}{P}[/tex] --- Option (b)

The equivalent equation is "[tex]P=\frac{S-2B}{P}[/tex]"

[tex]\to S= Ph+2B[/tex]

solving the given equation:

[tex]\to S= Ph+2B\\\\\to S-2B= Ph\\\\\to \frac{S-2B}{P}=P\\\\\to P=\frac{S-2B}{P}\\\\[/tex]

Therefore, the final answer of the given equation is "[tex]P=\frac{S-2B}{P}[/tex]".

Note:

Find out more information about the equation here:

brainly.com/question/24610422

Answer:

x=11°

Step-by-step explanation:

If we stretch line segment B(and use the theorem of same side interior angles) we see that 2x+33°=5x

5x-2x=3x

33°=3x

x=11°

Answer:

x = 11

Step-by-step explanation:

55-22=33

all these numbers are multiples of 11

Answer:

B, C, and E

Step-by-step explanation:

For triangle DBZ

angle on right is ZBD

angle on bottom left is BZD

angle on top is BDZ

For triangle DCX

angle on left is XCD

angle on bottom right is CXD

angle on top is CDX

Answer:

y= 5.33333

Step-by-step explanation:

i think this is right DON'T MARK BRAILIST

Answer:

i think its 9/10

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

b

9514 1404 393

Answer:

  D.  -16/5

Step-by-step explanation:

-3.2 = -32/10 = -16/5 . . . . matches choice D

_____

More detail

Any finite decimal can be converted to a fraction by considering the place value of the digits.

  3.2 = 3×1 + 2×(1/10)

  = 3 + 2/10 = (30 +2)/10 = 32/10

Then common factors can be cancelled from numerator and denominator.

  32/10 = (2·16)/(2·5) = 16/5

The negative sign can be applied as required.

  -3.2 = -(3.2) = -(16/5) = -16/5

Answer:

C. 1 solution

Step-by-step explanation:

I calculated logically

Answer:

Option B

Step-by-step explanation:

HHH → All heads

HHT → Two heads + one tail

HTH → Two heads + one tail

HTT → Two tails + one head

THH → One tail + two heads

THT → Two tails + one head

TTH → Two tails + one head

TTT → All tails

Therefore, At least two tails means → Sample space outcome with two tails Or all tails

Therefore, from the given options HTT is having two tails.

Option B is the correct option.

Answer:

Step-by-step explanation:

not its THH

Answer:

Step-by-step explanation:

(a^2 - 5ab) - (7 - 3ab) + (2ab - a^2) = -7

a^2 - 5ab -7 +3ab + 2ab -a^2 = -7 [combine like terms]

a^2 - a^2 = 0

-5ab + 3ab + 2ab = 0

-7 = -7

Answer:

Step-by-step explanation:

you can bring -(7-3ab) to the other side of the equation . then you will have this : (a^2 - 5ab) + (2ab - a^2) = -7 + (7 - 3ab)

now look at this part : -7 + (7 - 3ab) (because adding is a associative procedure) you can get rid of -7 and 7 . then you will have only -3ab

so now this would look like this :  (a^2 - 5ab) + (2ab - a^2) = -3ab

now take a look at the left of the equation : just like the last part we can simplify a^2 and - a^2 . and -5ab + 2ab would result in -3ab

because if you subtract -5ab from a^2 and subtract a^2 from 2ab ... then add then to each other would give you the same result

at the end you will have -3ab = -3ab which is a true conclusion.

Answer:20

That's the answer!

Step-by-step explanation:

-100/-5

=20

Answer:

a

Step-by-step explanation:

Answer:

a is your answer hope this helps :)

Step-by-step explanation:

Answer:

BBBBBBBBBBBBBBBBBBBBBBBB

Answer:

x = 26

Step-by-step explanation:

If angle a and b are congruent, then set 68 and 4x + 8 together to equal to 180 on the right side.  Combine 68 and 8 together to get 76.  Then, subtract 76 on both sides to get 104 on the right side.  Divide that number by 4 to get your x-value which is 26.

Answer:

22.74 i think

Step-by-step explanation: Add 22.75 to 10.50 then subtract that number to 55.99

Answer:

22.74

Step-by-step explanation:

9514 1404 393

Answer:

Step-by-step explanation:

For n laps, the length Keenan swims in the rec center pool is ...

  118 + 41n

and the length he swims in the gym pool is ...

  154 +32n

These are equal length for equal numbers of laps, so we have ...

  118 + 41n = 154 + 32n

  9n = 36 . . . . . . . . . . . . . subtract 32n+118

  n = 4 . . . . . . . . divide by 9

Then the length of Keenan's workout is ...

  118 +41(4) = 282 . . . . yards

It will take 4 laps to make the workout total 282 yards in each pool.