(x, y ) → (- 1, 3 )
The solution to the system of equations is the point of intersection of the 2 lines
From the graph, that is (x, y ) → ( - 1, 3 )
We can confirm by solving algebraically
Since both equations express y in terms of x we can equate the right sides
- x + 2 = - 6x - 3 ( add 6x to both sides )
5x + 2 = - 3 ( subtract 2 from both sides )
5x = - 5 ( divide both sides by 5 )
x = - 1
substitute x = - 1 into either of the 2 equations for y-coordinate
y = - x + 2 = 1 + 2 = 3
solution is (x, y ) → (- 1, 3 )
Answer:
c=4√2
Step-by-step explanation:
Sine the triangle is a right triangle you can use the Pythagorean theorem. a^2+b^2=c^2
(4)^2+(4)^2=c^2
16+16=c^2
32=c^2
c=√32
c=4√2
I cant see numbers 2 & 3 im sorry
1. 5 7/30
4. 5 3/4
Answer:
4/7
Step-by-step explanation:
the probability that a girl will win free popcorn = number of girls / sum of boys and girls
sum of boys and girls = 4 + 3 = 7
4/7
Answer:
see explanation
Step-by-step explanation:
Alternate exterior angles are congruent, thus
∠ RST = ∠ RQP , substitute values
7x + 11 = 4x + 32 ( subtract 4x from both sides )
3x + 11 = 32 ( subtract 11 from both sides )
3x = 21 ( divide both sides by 3 )
x = 7
Thus
∠ RST = 7(7) + 11 = 49 + 11 = 60°
∠ RQP = 4(7) + 32 = 28 + 32 = 60°
