Answer:
x = 29
y = 13
Step-by-step explanation:
Write 2 equations:
x + y = 42
x - y = 16
Isolate x in the first equation:
x = 42 - y
Substitute this in for x in the second equation:
42 - y - y = 16
42 - 2y = 16
solve for y:
-2y = -26
y = 13
Plug in 13 for y in either equation:
x + 13 = 42
Solve for x:
x = 29
Answer:
the slope of y=3x/7+4/7 is M=3 over 7
Answer:
B . Yes
Step-by-step explanation:
Recall: a tangent of a circle is perpendicular to the radius of a circle, forming a right angle at the point of tangency.
Therefore, if segment ST is tangent to circle P, it means that m<T = 90°, and ∆PST is a right triangle.
To know if ∆PST is a right triangle, the side lengths should satisfy the Pythagorean triple rule, which is:
c² = a² + b², where,
c = longest side (hypotenuse) = 37
a = 12
b = 35
Plug in the value
37² = 12² + 35²
1,369 = 1,369 (true)
Therefore we can conclude that ∆PST is a right triangle, this implies that m<T = 90°.
Thus, segment ST is a tangent to circle P.
(-4,-24) (-1,-9) (1,1) (2,6) (4,16)
