Answer:
26+38 that should be the answer for it
The generic equation of the line is:
y-yo = m (x-xo)
Where, the slope is:
m = (y2-y1) / (x2-x1)
m = (1-4) / (2 - (- 1))
m = (1-4) / (2 - (- 1))
m = (- 3) / (3)
m = -1
We choose an ordered pair:
(xo, yo) = (- 1, 4)
Substituting values:
y-4 = -1 (x + 1)
Rewriting:
y = - x - 1 +4
y = -x + 3
Answer:
The equation of the line, in slope-intercept form, that contains the points (-1, 4) And (2,1) is:
y = -x + 3
Answer:
The answer is that adult tickets cost $44.50 and child tickets cost $19.
Step-by-step explanation:
Let c = the cost of child tickets and a = the cost of adult tickets.
The total amount is equal to the number of adult tickets time the cost of adult tickets plus the number of child tickets times the cost of child tickets. Set up two equations:
2a + 4c = 165
4a + 3c = 235
Solve the top equation for a:
2a + 4c = 165
2a = 165 - 4c
a = 165/2 - 4c/2
a = 82.5 - 2c
Substitute into the second equation:
4a + 3c = 235
4(82.5 - 2c) + 3c = 235
330 - 8c + 3c = 235
-5c = -95
c = -95 / -5 = 19, so child ticket cost $19.
Solve for a:
a = 82.50 - 2c
a = 82.50 - 2(19)
a = 82.50 - 38
a = $44.50, so adult tickets cost $44.50.
Proof using the first equation for the Johnson family:
2a + 4c = 165
2(44.50) + 4(19) = 165
89 + 76 = 165
165 = 165
Proof using the second equation for the Robison family:
4a + 3c = 235
4(44.50) + 3(19) = 235
178 + 57 = 235
235 = 235
Answer:
1. No
2. yes
3. yes
4. yes
Step-by-step explanation:
1. 2×3=6, 7×3=21 (The product of two (or more) prime numbers cannot result in another prime number. By definition, a prime number is a number that is divisible by 1 or itself - multiplying two or more primes together will always yield a number divisible by 1, itself and the prime numbers multiplied together to achieve it.
2.When you multiply an integer (a “whole” number, positive, negative or zero) times itself, the resulting product is called a square number, or a perfect square or simply “a square.” So, 0, 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, and so on, are all square numbers.
3. 1×3=3, 3×5=15 (odd numbers are not divisible by 2)Therefore, every prime number other than 2 is an odd number
4. 2×4=8, 6×8=48