Answer:
The system has one solution.
Step-by-step explanation:
To find the number of solutions of the system, we equal both equations for y.
If we have ax = b, in which both a and b are different of 0, we have one solution.
If both a and b are 0, we have infinite solutions.
If a is 0 and b is not, there are no solutions.
y=6/7x-8 and y=7/9x+10/9
So
Both a and b are different of 0, so the system has one solution.
n ∈ natural even numbers
Step-by-step explanation:
1 + 3 + 5 + 7 + … + (2n-1)
sum of the first n terms :
Sₙ = n/2(a + Uₙ)
Sₙ = n/2(1 + 2n - 1)
Sₙ = n/2(2n)
Sₙ = n²
∴ so, the solution of n is all natural even numbers
Answer:
Step-by-step explanation:
There's no need of hypotenuse for finding area of the triangle. To find the area of a triangle ,
Formula is =
Base of the triangle = 10 cm
Height of the traingle = 3 cm
Area of the triangle = 
Answer:
y = (-1/7)x + (24/7)
Step-by-step explanation:
The general structure of a line in slope-intercept form is:
y = mx + b
In this form, "m" represents the slope and "b" represents the y-intercept.
You have been given the value of the slope (m = -1/7). You have also been given values for "x" and "y" from the point (3,3). Therefore, you can substitute these values in for their variables and simplify to find the value of the y-intercept.
y = mx + b <----- Slope-intercept form
y = (-1/7)x + b <----- Plug -1/7 into "m"
3 = (-1/7)(3) + b <----- Plug in "x" and "y" values from point (3,3)
3 = -3/7 + b <----- Multiply -1/7 and 3
24/7 = b <----- Add 3/7 to both sides
Now that you know that m = -1/7 and b = 24/7, you can determine the formula satisfying the given information.
y = (-1/7)x + (24/7)
Answer:
2a + 4 > 12
Step-by-step explanation:2a + 4 > 12
