All categories

3 years ago

1. A system of linear equations that has one solution has slopes that are__________

Mathematics

1 answer:

algol133 years ago

3 0

Answer:

different

Step-by-step explanation:

different slopes gives one solution

same slopes with different constant has no solution

same slopes and constants has many solutions

You might be interested in

Find the values of x and y in the diagram and show work please it's for geometry class

Romashka-Z-Leto [24]

Answer:

x = 10

y = 70

Step-by-step explanation:

By using the vertical angles theorem we know that x+ y +10 = 90, also simplified to x + y = 80

and 2x + y = 90

By using the substitution method on x + y = 80, it will be y = -x + 80

When you put into the equation 2x + y = 90 you will get 2x -x +80 = 90

Then it will simplify to x = 10

After that plug 10 into x + y = 80 to 10 + y = 80 and get y = 70

8 0

3 years ago

The senior class want to play a practical joke on the principal, who was a former college basketball star. They want to fill his

steposvetlana [31]

The number of basketball that will fill up the entire office is approximately 16,615.

Recall:

Volume of a spherical shape = $\frac{4}{3} \pi r^3$

Volume of a rectangular prism = $l \times w \times h$

Given:

Diameter of basketball = 9.5 in.

Radius of the ball = 1/2 of 9.5 = 4.75 in.

Radius of the ball in ft = 0.4 ft (12 inches = 1 ft)

Dimension of the office (rectangular prism) = 20 ft by 18 ft by 12 ft

First, find the volume of the basketball:

Volume of ball = $\frac{4}{3} \pi r^3 = \frac{4}{3} \times \pi \times 4.75^3\\$

Volume of basketball = $448.92 $ in^3$

Convert to $ft^3$

$1728 $ in.^3 = 1 $ ft^3$

Therefore,

Volume of basketball = $\frac{448.92}{1728} = 0.26 $ ft^3$

Find the volume of the office (rectangular prism):

Volume of the office = $20 \times 18 \times 12 = 4,320 $ ft^3$

Number of basket ball that will fill the office = Volume of office / volume of basketball

Thus:

Number of basket ball that will fill the office = $\frac{4,320}{0.26} = 16,615$

Therefore, it will take approximately 16,615 balls to fill up the entire office.

Learn more here:

brainly.com/question/16098833

6 0

2 years ago

Number A3 part 2 show that x is sufficiently small for x⁴

Dahasolnce [82]

Lopo d’oro es qua la

4 0

2 years ago

Solve the

jekas [21]

Answer:

35-5a-3a-12-4=-8a+19

4a-12+7=4a-5

Unequal

Step-by-step explanation:

6 0

2 years ago

Read 2 more answers

A jeweler has 36 inches of silver chain. She needs 5 time that much to make some necklaces. How much silver chain does the jewel

Elina [12.6K]

36 * 5 = 180
hope this helps

4 0

3 years ago