Answer:
The value of slope m = -1
Step-by-step explanation:
x = -2 + 4t
and y = 1 + 4t
Solving the both equations
x +2 = 4t
=> t = (x+2)/4 eq(1)
y-1 = 4t
=> t = (y-1)/4 eq(2)
Putting eq(1) = eq(2) as left hand side of both equations are same
(x+2)/4 = (y-1)/4
Cross multiplying
4(x+2) = 4(y-1)
4x + 8 = 4y -4
4x +4y = -4 -8
4x + 4y = -12
4(x+y) = -12
x+y = -12/4
x+y = -3
y = -x -3
The slope intercept form of line is:
y = mx + b
where m is the slope. Comparing with y = -x-3
The value of slope m = -1
Answer $5.16
Step-by-step explanation:
$7.74 divided by 9 is 0.86 so 0.86 per pencil mutiply that by 6 because you have six pencils and you get 5.16 for six pencils
Eukaryotic<span> cells would be full of ribosomes.</span>
Answer:32,768
2*4=8*4=32*4=128
So we have to multiply by 4
128*4=512 5th term
512*4=2048 6th term
2048*4=8192 7th term
8192*4=32768 last term
Vertex form of a parabola
<span>y = a (x - h)^2 + k </span>
<span>where (h, k) is the vertex </span>
Substituting the values of h and k.
we get,
<span>y = a(x + 4)^2 + 2 </span>
<span>substituting in the point (0, -30) for x and y
</span><span>-30 = a (0 + 4)^2 + 2
</span>solve for a,
<span>-30 = 16 a + 2 </span>
<span>-32 = 16 a </span>
<span>-2 = a </span>
<span>y = -2(x + 4)^2 + 2 </span>
<span>Put y = 0 </span>
<span>-2 x^2 - 16 x - 30 = 0 </span>
<span>-2(x^2 + 8 x + 15) = 0 </span>
<span>x^2 + 8 x + 15 = 0 </span>
<span>(x + 3)(x + 5) = 0 </span>
<span>x = -3
x = -5</span>
