If the diagonals of a shombus are 10 and 24, find the area of the rhombus

4. What kind of triangle is made by connecting the points A(0, –6), B(3, –6), and C(3, –2)?

Firdavs [7]

Answer:

Part 4) Right triangle

Part 5) Kite

Step-by-step explanation:

Part 4) What kind of triangle is made by connecting the points A(0, –6), B(3, –6), and C(3, –2)?

Using a graphing tool

see the attached figure N $1$

The triangle of the figure is not equilateral------> The triangle does not have three equal sides

The triangle of the figure is a right triangle------>The triangle has an angle of $90\°$

The triangle of the figure is not isosceles------> The triangle does not have two equal sides

The triangle of the figure is not a right and isosceles

Part 5) What type of quadrilateral is formed by connecting the points $(0, 9), (3, 6), (0, 1), and (-3, 6)$ ?

Using a graphing tool

see the attached figure N $2$

The figure is not a rhombus------> All sides are not congruent

The figure is not a trapezoid-----> has not parallel sides

The figure is a kite------> Two disjoint pairs of consecutive sides are congruent and the diagonals meet at a right angle

6 0

3 years ago

Complete the square

Nesterboy [21]

Answer:

vertex at (1, -3)

Step-by-step explanation:

When x = 0

y² + 6y + 1 = 0

y² + 6y + = -1

y² + 6y + 9 = -1 + 9

(y + 3)² = 8 or (-y - 3)² = 8

y + 3 = √8 or -y - 3 = √8

y = - 3 +√8 or y = -3 - √8

(0, - 3 +√8) and (0, -3 - √8)

The mid point between these two is the average

y = ( - 3 + √8 + -3 - √8) / 2 = - 3

y² + 6y + 8x + 1 = 0

(-3)² + 6(-3) + 8x + 1 = 0

9 - 18 + 1 = -8x

- 8 = -8x

x = 1

4 0

3 years ago

What is 2,034,627 rounded to the nearest ten thousand

MatroZZZ [7]

Answer:

rounded to the nearest ten thousand

2,034,627

2,030,000

6 0

3 years ago

Problem 9

lapo4ka [179]

Answer:

3:36PM

Step-by-step explanation:

Leon starts at 12PM with 12 gallons of gas, and after 2 hours he has used 5 gallons of gas. This means that every 2 hours he uses 5 gallons of gas.

Next we will find at what point Leon will stop to get gas. Since he will stop when the tank is at $\frac{1}{4}$ capacity, we can use the equation:

$\frac{1}{4} * 12 = \boxed{3}$

This shows $\frac{1}{4}$ of his tank's capacity ( $12$ ) is equal to $3$ gallons. This means he will stop for gas when $3$ gallons are remaining.

Now we need to find how many gallons of gas he uses, but as a unit rate. (This will allow us to find what time Leon will stop to get gas.) To find the unit rate, we will need to find how many gallons of gas he uses per hour.

$\frac{\mbox{5 gallons}}{\mbox{2 hours}} = \frac{\mbox{2.5 gallons}}{\mbox{1 hours}}$

This is a simple proportion, and now we know he uses $2.5$ gallons of gas per hour.

Now we can how many hours of gas Leon has left.

He has $7$ gallons of gas left at 2PM, so we can divide to find how many hours left of gas he has.

$\frac{7-3}{2.5} = 1.6$

The $7-3$ is because Leon doesn't stop when his tank is empty, he stops $3$ gallons earlier. We are dividing by $2.5$ because that is how much gas he uses per hour, meaning the result of this division ( $1.6$ ) is how many hours he has left.

Now we can solve for what time Leon will stop to get gas.

12PM + $2$ hours of driving + the remaining $1.6$ hours = 3:36PM

( $1.6$ hours is equal to 1 hour and 36 minutes)

Therefore, Leon will stop for gas at 3:36PM

8 0

2 years ago

How you solve x^2-xy+2x-2y

kap26 [50]

You cant solve this because there is no matching variables like for example:

x^2-3xy+2x-2y-4+xy-5x+6y+8 and i solved this which the answer is x^2-3x+4y-2xy+2 because there are matching variables.

7 0

3 years ago