Given:
The two points on a coordinate plane are C(-5,-1) and D(0,3).
To find:
The distance between C and D.
Solution:
Distance formula:

Using the distance formula, the distance between C(-5,-1) and D(0,3) is




On further simplification, we get



Therefore, the distance between C and D is 6.40 units.
Answer: 6 pounds of grapes
Step-by-step explanation:
There are 12 people that Joe is meant to buy for.
Each of them will receive 0.5 pounds of grapes.
All of them will therefore need:
= pounds of grapes per person * number of people
= 0.5 * 12
= 6 pounds of grapes
Answer:
y=1/4x+3
Step-by-step explanation:
Slope intercept form is written as (y=mx+b)
<u>To define those variables:</u>
- m is the slope
- b is the y-intercept
We have been given both the slope, and the y intercept, therefore just plug in the numbers into the form:
y=1/4x+3
The equation that could represent a linear combination of the system 2/3x + 5/2y = 15 and 4x + 15y = 12 is 0 = 26
<h3>What are linear equations?</h3>
Linear equations are equations that have constant average rates of change, slope or gradient
<h3>How to determine the linear combination to the system?</h3>
A system of linear equations is a collection of at least two linear equations.
In this case, the system of equations is given as
2/3x + 5/2y = 15
4x + 15y = 12
Multiply the first equation by 6, to eliminate the fractions.
6 * (2/3x + 5/2y = 15)
This gives
4x + 15y = 90
Subtract the equation 4x + 15y = 90 from 4x + 15y = 12
4x - 4x + 15y - 15y = 12 - 90
Evaluate the difference
0 + 0 = -78
Evaluate the sum
0 = -78
The above equation is the same equation as option (b) 0 = 26
This is so because they both represent that the system of equations have no solution
Hence, the equation that could represent a linear combination of the system is 0 = 26
Read more about system of linear equations at
brainly.com/question/14323743
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Answer:
The answer is C.
Step-by-step explanation:
You have to use Ditributive Law,

So for this question :



