Y = mx + b
slope(m) = 3/4
(5,-4)...x = 5 and y = -4
now we sub
-4 = 3/4(5) + b
-4 = 15/4 + b
-4 - 15/4 = b
-16/4 - 15/4 = b
- 31/4 = b....or - 7 3/4 = b
so ur equation is : y = 3/4x + (-31/4) or y = 3/4x - 31/4
Answer:
The street light is 20 feet tall.
Step-by-step explanation:
This question depends on a proportion. Keep your height of the object in one ratio and the length of the shadow in the other.
25/x = 75/60 Notice the height of the structure is on the left. The length of the shadow is on the right. Cross multiply
75x = 60 * 25 Combine the right
75x = 1500 Divide by 75
x = 1500/75
x = 20
The street light is 20 feet tall.
Answer:
Change in sulfur oxide in the air =
Step-by-step explanation:
Data provided in the question:
Relation between the amount of sulfur oxide in the air and the population as:
S² = 110P² + 20P + 600
Population growth rate,
= 10 people per month
Now,
change in sulfur oxide with time i.e 
differentiating the given relation with respect to time 't'
we have
=
+ 20
at P = 100 and
= 10 people per month
we have
= 2 × 110 × 100 × 10 + 20
or
= 220020
or
=
or
Change in sulfur oxide in the air =
Answer:
Step-by-step explanation:
x + 8 < - 28
x < - 28 - 8
x < - 36
Option A is the correct answer
Answer:
4x2 + 3x + 4
Step-by-step explanation:
Step-1 : Multiply the coefficient of the first term by the constant 4 • 4 = 16
Step-2 : Find two factors of 16 whose sum equals the coefficient of the middle term, which is 3 .
-16+-1=-17
-8+-2=-10
-4+-4=-8
-2+-8=-10
-1+-16=-17
1+16=17
2+8=10
4+4=8
8+2=10
16+1=17
Final result :
4x2 + 3x + 4