Answer: The solution to the given system is
Step-by-step explanation:
The given system of equations :
To solve this , we eliminate equation (1) from (2) , we get
Put value of in (2) , we get
[∵ (-)(-)=(+)]
Hence, the solution to the given system is
Answer:
slopee = 5/3
Step-by-step explanation:
The slope of a line is defined by the rise (the change in y-value) divided by the run (the change in x-value). Here, the change in y-value is 6 - (-14) = 6 + 14 = 20. The change in x-value is 20 - 8 = 12. Therefore, the slope is 20/12 or (simplified) 5/3.
Answer:
The length of EB is 25 unit
Step-by-step explanation:
Given as:
ABCD is a square With diagonal AC and BD
The length of DB = 7x + 1
The length of AE = 2x + 11
The mid point of BD and AC is E
Let the each side of square be m
So, BD² = m² + m²
Or, (7x + 1) = 2 m²
Or m² =
Again
AC² = m² + m² = 2 m²
Or, AC = (7x + 1)
∵ AE is the half of diagonal AC
So, AE = × (7x + 1)
Or, 2x + 11 = × (7x + 1)
or , 4x + 22 = 7x + 1
Or, 3x = 21
∴ x = 7 unit
So, BD = 7 (7 ) + 1 = 50 unit
So, BE is the half of diagonal BD
Or, BE = × 50 = 25 unit
Hence The length of EB is 25 unit Answer
To solve this problem you must apply the proccedure shown below:
1. You must apply the formula for calculate the area of a circle, which is:
A=πr^2
Where A is the area of the circle and r is the radius of the circle.
2. You have that the diameter is 6 feet, then the radius is:
r=D/2
r=3 feet
3. When you apply the formula shown above, you obtain:
A=9π feet^2
A=28.27 feet^2
The answer is: 28.27 feet^2
Answer:
C. y = -x + 68
Step-by-step explanation:
First, remember that slope-intercept form is y = mx + b, where m = slope, b = y-intercept.
We know that the slope is negative. Unfortunately, all the answers have negative slopes, so we can't rule anything out.
Let's look at the y-intercept. It looks like it's around 60, a little higher; 68 and 65 are both good options. It's clearly not 55 or 100, so eliminate choices D and B.
Now let's look at the slopes - it looks like the slope is closer to than 2x. Check out the attached graph - pick points at random and check which graph seems to match them most often!