Answer: 30 degrees
Step-by-step explanation:
Answer: x^2 + 9x + 20
Step-by-step explanation:
Foil Method: (a + b) (c + d) = ac + ad + bc + bd
Lets say:
a = x
b = 5
c = x
d = 4
Plugging in the numbers: xx + 4x + 5x + 5*4
Combine like terms:
xx = x^2
4x + 5x = 9x
5 * 4 = 20
You're then left with: x^2 + 9x + 20
Because this triangle is a right traingle and has one angel that is 45 degrees, the third angle must be 45 degrees to because 90+45+45=180. With that, km must be the same length as lm. we know lm is 5 so km is 5 too. No we can plug this into the Pythagorean Theorem too get
5^2+5^2=c^2
25+25=c^2
50=c^2
√50=√c^2
√25*2=c
5√2=c
Thats your answer to the length of lk.
A)
The formula for direct variation is written as Y = kx, where k is the proportion you need to solve for.
Y would be the amount raised and X would be the number of attendees:
100 = k5
Divide both sides by 5:
k = 100/5
k = 20
B. the constant of variation is the value of k above which is 20
C) Using the formula from A: y = kx, replace k with 20 and x with 60 and solve for y:
y = 20 * 60
y = 1200
They will raise $1,200
2. If the relationship is proportional the ratio would be a constant number. If the relationship is non proportional the ratio would vary between the different values.
Answer:
A: 2,3
B: -5,1
for ii and iii and b), the easiest way to find the points are by moving on the x-axis(straight across/ horizontal line), then the y-axis(the up to down one). the first point for example (-3,-2), you would move 3 times to the left, and 2 times to the bottom, because if its a negative x, you move left, while if its a positive x, you move right, and if its a negative y, you move down, while a positive y moves you up.
Step-by-step explanation:
I really hope it helps!!!
