<u>Answer-</u>
- YZ = 9 cm

- XZ is the longest segment in triangle XYZ.
<u>Solution-</u>
Triangle XYZ is a right angle triangle with ∠Y=90°
Triangle XYZ is also an isosceles triangle, as
∠X =45°= ∠Z
Therefore, triangle XYZ is a right angle isosceles triangle.
So,
XY = YZ = 9 cm
Applying Pythagoras theorem,

In a right angle triangle, always the hypotenuse is the largest. So XZ is the longest segment in triangle XYZ.
Answer:
Step-by-step explanation:
a = - 4
b = 10
c = - 8
The discriminate is
D = b^2 - 4ac
D = 10^2 - 4*(-4)(-8)
D = 100 - 128
D = - 28 which is not a nice number
Because the Discriminate has a minus result, there are no real zeros.
Answer: the value of the car in 2019 is $5269
Step-by-step explanation:
It loses 12% of its value every year. This means that the value of the car is decaying exponentially. We would apply the formula for exponential decay which is expressed as
A = P(1 - r)^t
Where
A represents the value of the car after t years.
t represents the number of years.
P represents the initial value of the car.
r represents rate of decay.
From the information given,
P = $21500
r = 12% = 12/100 = 0.12
t = 2019 - 2008 = 11 years
Therefore
A = 21500(1 - 0.12)^11
A = 21500(0.88)^11
A = 5269
Answer:1
Step-by-step explanation:
8÷5=1.6 but you don’t want the 6 or the decimal (.) so it’s 1!