The answer is B f(x)= -3(x+1)^2+2
Answer:
- 3/4
Step-by-step explanation:
m = difference of y / difference of x = (3 - (-3)) / (-5 -3) = 6 / -8 = - 3 / 4
Answer:
y = - 3x + 16
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y =
x + 8 ← is in slope- intercept form
with slope m = 
Given a line with slope m then the slope of a line perpendicular to it is
= -
= -
= - 3, so
y = - 3x + c ← is the partial equation of the perpendicular line
To find c substitute (6, - 2) into the partial equation
- 2 = - 18 + c ⇒ c = - 2 + 18 = 16
y = - 3x + 16 ← equation of perpendicular line
Answer:
0.980413
Step-by-step explanation:
The table for the deaths and death rate per 100,000 population is attached below ;
73 years fall in the 65 - 74 years category ; with 1958.7 deaths (Female)
Hence, the probability of living another year is :
Number of deaths per 100,000 population ;
P(death) = 1958.7 / 100,000 = 0.019587
Probability of living another year = 1 - P(death)
1 - 0.019587 = 0.980413
Answer:
The value of Y is 24 km and distance from A to C to B is AC+Y=18+24=42 km
Step-by-step explanation:
Given that A highway between points A and B has been closed for repairs. An alternative route between there two locations is to travel between A and C and then from C to B. we have to find the value of Y and the total distance from A to C to B. Let AB=Z
In ΔBCD and ΔABD
∠BCD=∠ABD (∵each 90°)
∠D=∠D (∵common)
By AA similarity, ΔBCD~ΔABD
∴ their corresponding sides are proportional

Comparing last two terms, we get

⇒ 
⇒ 
⇒ 
⇒ 
⇒ 
Hence, the roots are X=32, -50
X=-50 not possible as distance can never negative.
Hence, X=32 km
By applying Pythagoras theorem in ΔBCD we get


⇒ 
⇒ 
Hence, the value of Y is 24 km and the distance from A to C to B is AC+Y=18+24=42 km