Answer:
10/3
Step-by-step explanation:
|x+3|=4x-7
So |-(x+3)|=|x+3|
We are going to try out two cases:
-(x+3)=4x-7 and x+3=4x-7
-x-3=4x-7 3=3x-7
-3=5x-7 10=3x
4=5x x=10/3
x=4/5
We are going to test out both because we could something that isn't actually a solution, this is called extraneous.
First thing I'm going to check is 4x-7 for it being positive.
4(4/5)-7=20/5-7=-15/5=-3 so 4/5 will not work because absolute value result can't be negative
4(10/3)-7=40/3-7=19/3 which is positive
checking |x+3| to see if is 19/3 for x=10/3 we see that is so that is the answer
Answer:
i think the answer you want is 8x^2+3d+3g-2h
Step-by-step explanation:
you have to combine like terms
the only like terms are +4d and -d which simplify to +3d
then you just write the rest out as written.
The attached image is the graph.
Slope-intercept form: y=mx+b
3y=-6+2x
divide both sides by 3
y=-2+2/3x
reorder the terms
y=2/3x-2
Answer:
The answer is √58 = 7.62
Step-by-step explanation:
So, if you draw this down, you will see that the direct distance is hypotenuse c of a right triangle which sides are 3 blocks (1 south and 2 north) and 7 blocks (4 west and 3 east).
Use the Pythagorean theorem:
c² = a² + b²
a = 3
b = 7
c² = 3² + 7²
c² = 9 + 49
c² = 58
c = √58
c = 7.62
