Answer:
Yes
Step-by-step explanation:
Multiply one eqution so that they are same.
For example:
2x+17y+48=0
x+8y-6=0 --> multiply 2 times, so 2x+16y-12=0
and now you can use it as if they are coefficients for both variables
9514 1404 393
Answer:
(a) 8 km
Step-by-step explanation:
Let m represent the distance (in kilometers) Michelle has walked. Then Janet walked a distance of (m-2). These distances are at right angles, so the distance between them can be found using the Pythagorean theorem.
m² +(m -2)² = 10²
m² +m² -4m +4 = 100
2m² -4m = 96 . . . . . . subtract 4, collect terms
m² -2m +1 = 49 . . . . . divide by 2 and add 1
(m -1)² = 7² . . . . . . .write as squares
m -1 = 7 . . . . . . positive square root
m = 8
Michelle walked 8 km.
Answer:
Probability (A sum of 10)=0.1025
Step-by-step explanation:
To find the Probability the sum is 10, we can either have
i. a 4 and a 6
ii. a 5 and a 5
Pr (A AND B) = Pr (A) x Pr(B)
Pr (A OR B) = Pr (A) + Pr(B)
Probability (A sum of 10) = Pr(getting a 4 AND a 6) OR Pr(getting a 5 AND a 5)
=(0.25 x 0.25)+(0.20 x 0.20)
=0.0625+0.04
=0.1025
Hey there!!
Given :
Sum of two integers = -5 and the product is -36.
Hence,
... x + y = -5
... xy = -36
x + y = -5
... y = -x - 5
xy = -36
...x ( -x - 5 ) = -36
... -x² - 5x = -36
... x² + 5x - 36 = 0
This can't be factored so solve using quadratic equation
x = [-b ±√(b2-4ac)]/2a a=1, b=5, c = -36
x = [-5±√(52-4(-36))]/2
x = [-5 ±√169]/2
x = (-5 ± 13)/2
x = (-5+13)/2= 8/2 = 4 OR
x = (-5-13)/2 = -18/2 = -9
x = 4, -9
Note here that since x+y=-5
For x=4, y=-9
for x = -9, y = 4
The two numbers are 4, -9
Hope my answer helps!!
