Answer:
x=2
y=-3
Step-by-step explanation:
we have
----> equation A
----> equation B
Solve the system by graphing
Remember that the solution of the system of equations by graphing is the intersection point both lines.
using a graphing tool
The intersection point is (2,-3)
therefore
The solution is
x=2
y=-3
Answer:
The top left.
Step-by-step explanation:
You can use the vertical line test in order to prove if something is a function. If you place a vertical line on the graph and it intersects more than one point on the x-axis, it is not a function. Functions do not have overlapping x variables.
Answer:
See below.
Step-by-step explanation:
Here is one pair of angle of each type. There are more correct answers.
corresponding angles: <K, <O
alternate interior angles: <N, <P
alternate exterior angles: <I, <S
same-side interior angles: <N, <Q
vertical angles: <P, <R
supplementary angles: <J, <M
Answer:
The resulting matrix will be 11 * 7
Step-by-step explanation:
Given
Matrices 11 * 6 multiplied by 6 * 7
Required
The dimension of the resulting matrix
When a matrix a * b is multiplies by a matrix b * c, the resulting matrix will be: a * c
In this case:
So, the resulting matrix will be:
Answer:
Let the speed of the train be x km/h.
Case 1:
Distance = 288 km
Speed = x km/h
Time = Distance/Speed
= 288/x h
Case 2:
Distance = 288 km
Speed = (x+4) km/h
Time = 288/x + 4 h
Since 288/x > 288/x + 4
288/x - 288/x+4 = 1
288[1/x - 1/x+4 ] = 1
[ x + 4 - x / x(x + 4) ] = 1/288
[4 / x^2 + 4x ] = 1/288
x^2 + 4x = 1152
x^2 + 4x - 1152 = 0
x^2 + 36x - 32x - 1152 = 0
x(x + 36) - 32(x + 36) = 0
(x + 36)(x - 32) = 0
x + 36 = 0 , x - 32 = 0
x = -36 , x = 32
x = -36 , rejected since speed cannot be negative.
Therefore , speed of the train = 32 km/h
