Answer:
a: no solutions
b: (2, 3)
Step-by-step explanation:
a:
In both equations, the slope of x is the same, but the y-intercept is not, which means they are parallel. Therefore, this system of equations has no solutions.
b:
Since both of the equations are equal to y, we can set them equal to each other:
We can solve by factoring (by finding a number that multiplies to 4 and adds up to -4):
(x-2)^2 = 0
x = 2
Now, to find y, plug-in x to any of the equations:
y = 2*2-1 = 3
Therefore, the solution to this system of equation is (2, 3)
I hope this helped.
Answer:
60 kilometers per hour (kmph) over the limit
Step-by-step explanation:
The speed limit is 60 kmph
Let's find his original rate:
We know D = RT
Where
D is the distance, in km
R is the rate, in kmph
T is the time in hours
He went 10 km in 5 minutes, so we need the time in hours, first. That would be:
5/60 = 1/12 hour
So, putting into formula, we find rate:
D = RT
10 = R(1/12)
R = 10/(1/12)
R = 10 * 12
R = 120 kmph
He was going over by:
120 - 60 = 60 kmph
Answer:
Does the answer help you?
Answer:
y = 6
Step-by-step explanation:
-4 + 3y = 14
+4 +4
3y = 18
---- ----
3 3
y = 6
Answer:
10.57 cm²
Step-by-step explanation:
Recall that the area of a triangle is gotten by (1/2)*base*height
If the height of the triangle is 5.45cm and the base is 3.88cm, then the area can be calculated by multiplying the two numbers and dividing it by 2.
5.45*3.88 = 21.146cm²
This still needs to be cut in half (otherwise we are yielding the area of a rectangle with these dimensions)
21.146 cm²/2 = 10.573 cm²
This can be rounded to the nearest hundredth
= 10.57 cm²
