G( f(-4) )
f(-4) = -16 +7= -9
g(-9) = (3*-9)-5 = -32
Answer:
Bar will not fit in the box.
Step-by-step explanation:
Given:
Length = 9 in
Width = 8 in
Height = 3 in
Length of bar = 13 in
Find:
Bar fit in box or not
Computation:
If length of bar is equal to length of diagonal than it will fit in box.
Diagonal of a cuboid = √l² + b² + h²
Diagonal of a cuboid = √9² + 8² + 3²
Diagonal of a cuboid = √81 + 64 + 9
Diagonal of a cuboid = √154
Diagonal of a cuboid = 12.40 in
Diagonal of a cuboid < Length of bar
So,
Bar will not fit in the box.
You seem to be sharing two points: <span>(4,7)(-12,3).
But you don't explain what you're looking for.
I must assume you want to find the equation of the str. line thru these 2 pts, in std. form. Ax+By+C=0.
1. Find the slope of the line thrugh </span><span>(4,7)(-12,3): rise is -4 and run is -16.
Thus the slope is -4/16, or -1/4.
2. Write out the slope-intercept equation of this line: subst. m = -1/4 and the coordinates of either given point:
y = mx + b becomes y = (-1/4)x + b
Let's subst. 4 for x and 7 for y: 7 = (-1/4)(4) + b, or
7 = -1 + b. Then b = 8.
Convert this to the equation in std. form:
y = (-1/4)x + 8 Mult all three terms by 4 to eliminate fractions.
4y = -x + 32, or 0 = -4y -x + 32, or 4y + x - 32 = 0 (answer)</span>
Answer:
Hello,
answer C : -3x²-3x-2=0 (or 3x²+3x+2=0)
Step-by-step explanation:
A: delta=12²-4*2*18=0 not negative
B: delta= 5²+4*3*1=37 not negative
C: 3x²+2x+2=0, delta=2²-4*3*2=16-24=-8 is negative: roots are complex
D: delta 16²-4*2*2=240 not negative
