Please help me with 1,2,3,4,5,6,7,8,9 tell me how u get it and the answer please I really need help

Step-by-step explanation:

Ok so for question one we use the Pythagorean theorem, which is a^2+b^2=c^2

a is the shortest leg, b is the leg that is not the hypotenuse. and c is the hypotenuse which is the opposite leg to the right angle.

Question 1: a=9,b=12,c=x

(9)^2+(12)^2=(x)^2

81+144=(x)^2

225=(x)^2

x=15

Question 2: a=10,b=24,c=x

(10)^2+(24)^2=(x)^2

100+576=(x)^2

676=(x)^2

x=26

Question 3: a=3,b=7,c=x

(3)^2+(7)^2=(x)^2

9+49=(x)^2

58=(x)^2

x=root58, or 7.615773

Question 4: a=6,b=x, c=10

(6)^2+(x)^2=(10)^2

36+(x)^2=100

Subtract 36 from both sides

(x)^2=64

x=8

Question 5: a=6,b=x, c=24

(6)^2+(x)^2=(24)^2

36+(x)^2=576

Subtract 36 from both sides

(x)^2=540

x=6root15, or 23.2379

Question 6: a=1, b=1, c=x

(1)^2+(1)^2=(x)^2

1+1=(x)^2

2=(x)^2

x=root2, or 1.414213562

Question 7: a=8, b=x, c=21

(8)^2+(x)^2=(21)^2

64+(x)^2=441

Subtract 64 from both sides

(x)^2=377

x=root377, or 19.41648784

Question 8: a=24, b=x, c=30

(24)^2+(x)^2=(30)^2

576+(x)^2=900

Subtract 576 from both sides

(x)^2=324

x=18

Question 9: a=5,b=9, c=x

(5)^2+(9)^2=(x)^2

25+81=(x)^2

106=(x)^2

x=root106, or 10.29563014

Question 9 Part B: a=3, b=5, c=y

(3)^2+(5)^2=(y)^2

9+25=(y)^2

34=(y)^2

root34, or 5.830951895=y

answer: c, the green line

step-by-step explanation:

there is no black line, eliminate b.

simple interest implies periodic payments, but the red line shows no payments, eliminate d.

simple interest has equal payments. if paid say every day, the graph is about a straight line (actually a stairstep).

the yellow line is not straight, eliminate a.

check: the green line is straight, answer is c.

simple interest with positive interest rate gives a straight line sloping up to the right. green line:

g(t) = $100 + ($200-$100) ÷ (20 years) × (t years)

= $100 + (4%/year) × ($100)(t years)

incidentally, the yellow line curving upward represents continuously compounded interest

y = $100 × 2^(t years / (14 assuming the yellow line hits $200 at 14 years. 2^0 is 1, so y(0) = $100; 2^(14/14) is 2, so y(14) = $200.

b