First, we find the slope
(4,0)(0,-3)
slope = (-3 - 0) / (0 - 4) = -3/-4 = 3/4
there can be 3 possible answers for this..
y - y1 = m(x - x1)
slope(m) = 3/4
using points (4,0)...x1 = 4 and y1 = 0
now we sub
y - 0 = 3/4(x - 4) <== this is one answer
y - y1 = m(x - x1)
slope(m) = 3/4
using points (0,-3)...x1 = 0 and y1 = -3
now we sub
y - (-3) = 3/4(x - 0) =
y + 3 = 3/4(x - 0) <== here is another answer
y - y1 = m(x - x1)
slope(m) = 3/4
using points (-4,-6)...x1 = -4 and y1 = -6
now we sub
y - (-6) = 3/4(x - (-4) =
y + 6 = 3/4(x + 4) <=== and here is another answer
Answer:
49>20
Step-by-step explanation:
12.6 + 31 + 5.4 = 49 >20
Answer:
∠4 = 78°, assuming out measurements have been taken in degrees.
Step-by-step explanation:
If ∠2 = 8x + 10 and
∠4 = 42 + 6x
We will assume that x in both cases is represented by the same number, therefore, we will first need to solve for x. We will do so by equating both angle measurement expressions.
8x + 10 = 42 + 6x Take away 6x from both sides
2x + 10 = 42 Take 10 away from both sides to combine like terms
2x = 32 Divide both sides by 2 to isolate x
x = 16
Knowing x, we can solve for the measure of ∠4 by plugging in 16 for x
∠4 = 42 + 6x
∠4 = 42 + 6(6)
∠4 = 42 + 36
∠4 = 78°, assuming out measurements have been taken in degrees.
Answer:
b=10
Step-by-step explanation:
you need to simplify it
Answer:

Minimum 200 people other than the 2 charity representatives.
Step-by-step explanation:
Given that:
The venue can hold a maximum of 500 people.
Cost of venue = $1000
Per person cost for food = $20
Two charity representatives get to attend the dinner for free.
To find:
The inequality and to determine how many people must come to keep costs at most $25.
Solution:
Let the number of people attending the dinner = 
Cost of food for
people = 
Total cost = $1000 + 
Cost per person = Total cost divided by Number of people attending the dinner.
As per question statement:

Therefore, the answer is:
Minimum 200 people other than the 2 charity representatives should attend the dinner.