Answer:
y=-1
x=3
Step-by-step explanation:
7x+2y=19-----(1)
7x+8y=13------(2)
(1)-(2)
(7x+2y)-(7x+8y)=19-13
7x+2y-7x-8y=6
+2y-8y=6
-6y=6
y=-1
by substitute in (1)
7x+2*(-1)=19
7x-2=19
7x=19+2
7x=21
x=21/3
x=3
Answer:
TRUE
Step-by-step explanation:
tanθ = 1/cotθ
cotθ = 0 when θ = ±(1/2)π, ±(3/2)π, … ±[(2n+1)/2]π.
∴ tanθ is undefined when θ = ±[(2n+1)/2]π.
secθ = 1/cosθ
cosθ = 0 when θ = ±(1/2)π, ±(3/2)π, , …, ±[(2n+1)/2]π.
∴ secθ is undefined when θ = ±[(2n+1)/2]π.
The tangent and secant functions are undefined for the same values of θ.
The correct answer is 13.78. You get this by doing 11/cos37.
Question 23
Recall that a kite in geometry is any four sided figure where we have two different pairs of adjacent sides that are the same length.
We're told that PS = 4.5 and RS = 6. So this isn't an adjacent pair of congruent sides. But we can say that PS and PQ are one pair of adjacent congruent sides. That makes PQ to be 4.5 cm long.
Similarly, RS = RQ = 6 is the other pair of adjacent congruent sides. Notice that triangle PQR reflects over line PR to get triangle PSR.
See the diagram below.