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2 years ago

Solve the system of equations by finding the reduced row-echelon form of the augmented matrix for the system of equations.

Mathematics

1 answer:

Hitman42 [59]2 years ago

3 0

Answer:

b is the anwser

Step-by-step explanation:

hope ut helps :)

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A trapezoid is broken into 2 triangles and 1 rectangle. The triangles both have a base of 2 meters and a height of 5 meters. The

Lemur [1.5K]

Answer:

Part 1) The trapezoid has an area of $20\ m^2$

Part 2) The kite has an area of $21\ m^2$

Part 3) The area of the trapezoid is less than the area of the kite

Step-by-step explanation:

Part 1

Find the area of trapezoid

we know that

The area of trapezoid is equal to the area of two congruent triangles plus the area of a rectangle

$A=2[\frac{1}{2} (2)(5)]+(2)(5)$

$A=10+10=20\ m^2$

Part 2

Find the area of the kite

we know that

The area of the kite is equal to the area of two congruent triangles

$A=2[\frac{1}{2} (7)(3)]=21\ m^2$

Part 3

Compare the areas

The trapezoid has an area of $20\ m^2$

The kite has an area of $21\ m^2$

$20\ m^2< 21\ m^2$

therefore

The area of the trapezoid is less than the area of the kite

5 0

4 years ago

Read 2 more answers

Darren teaches a class of 25 students. He assigns homework 3 times a week, and each assignment consists of 12 problems. How many

riadik2000 [5.3K]

I'm guessing its 900 because 3 × 12 = 36
36 × 25 = 900

6 0

4 years ago

Read 2 more answers

A box contains 4 yellow tiles, 6 green tiles, and 10 purple tiles. Without looking, you draw out a tile and then draw out a seco

Sonbull [250]

4 yellow + 6 green + 10 purple = 20 total tiles

1st draw P purple: 10 purple/20 total
2nd draw P purple: 9 purple/19 total

Probability purple then purple (no returns): $\frac{10}{20} x \frac{9}{19}$
= 90/380
= 45/190
= 9/38

5 0

3 years ago

A car rental company charges $0.10 per mile plus $30 per day for a midsize sedan. If Lawrence rents a vehicle for four days and

sweet [91]

Answer:

8 miles

Step-by-step explanation:

6 0

3 years ago

M(7, 5) is the midpoint of line RS The coordinates of S are (8, 7). What are the coordinates of R?

Shtirlitz [24]

Answer:

The coordinates of point R are (6 , 3)

Step-by-step explanation:

* Lets revise the rule of the mid-point

- The mid point (x , y)of a line whose end points are $(x_{1},y_{1})$

and $(x_{2},y_{2})$ is $(\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2})$

∵ M is the mid point of line RS

∵ The coordinates of point M are (7 , 5)

∴ x = 7 and y = 5

∵ The coordinates of point R are $(x_{1},y_{1})$

∵ The coordinates of point S are (8 , 7)

∴ $(x_{2},y_{2})$ = (8 , 7)

∴ $x_{2}=8$ and $y_{2}=7$

- By using the rule above

∵ $x=\frac{x_{1}+x_{2}}{2}$

∵ $7=\frac{x_{1}+8}{2}$

- Multiply both sides by 2

∴ $14=x_{1}+8$

- Subtract both sides by 8

∴ $x_{1}=6$

∴ the x-coordinate of point R is 6

∵ $y=\frac{y_{1}+y_{2}}{2}$

∵ $5=\frac{y_{1}+7}{2}$

- Multiply both sides by 2

∴ $10=y_{1}+7$

- Subtract both sides by 7

∴ $y_{1}=3$

∴ the y-coordinate of point R is 3

* The coordinates of point R are (6 , 3)

6 0

3 years ago