Answer:
Step-by-step explanation:
Remark
You have 2 points to solve the equation y = mx + b. After finding m, use either of the points to find b.
Formula
y = mx + b
m = (y2 - y1)/(x2 - x1)
Solution
- y2 = 13
- y1 = 5
- x2 = 0
- x1 = 24
m = (13 - 5)/(0 - 24)
m = 8 / - 24
m = - 1/3
y = mx + b
y = -1/3 x + b
Use (0,13) as the point.
13 = -1/3 * 0 + b
13 = b
The y intercept = (0,13)
Answer:
N=250
Step-by-step explanation:
"twice as many nickels as dimes" means N =2D [eq1]
"collection of nickels and dimes is worth $25" means
5N + 10D = 2500 [eq2]
(To avoid using decimal points, PLZ express everything in cents.)
Substitution (substitute N from eq1 into eq2]:
5(2D) + 10D = 2500
10D + 10D = 2500
20D = 2500
D = 125
N=2D [eq1 again]
N=2(125)
N=250
Check:
Is 5(250) + 10(125) = 2500 ?
1250 + 1250 = 2500 ?
2500 = 2500 ?yes
Answer: The length of the base of the triangle is 16 inches.
Step-by-step explanation:
Hi, to answer this question we have to apply the next formula
Area of a triangle (A) = base x height x 1/2
Replacing with the values given:
42 = b (5 1/4) 1/2
Solving for b (lenght of the base)
42 / (5 1/4) 1/2 = b
16 in = b
The length of the base of the triangle is 16 inches.
Feel free to ask for more if needed or if you did not understand something.
