Answer:
The ratio is 4:12:15.
Step-by-step explanation:
we need to make the first ratio (Sylvia's to John's) comparable to second one (John's to Peter's). Since John is in both ratios, we use his number to make it the same. 3 and 4 can both be multiplied into 12. So, multiply the first ratio by 4 and the second by 3.
Put it together, and you get 4:12:15.
Hope it helps :P
Lets get this into y-intercept form first, which is y =mx+b:
8(4+x)-3 = 12(x+y)+5
32+8x-3 = 12x+12y+5
-4x+24 = 12y
-1/3x+2 = y or y= -1/3x + 2
X intercept:
0 = -1/3x + 2
-2= -1/3x
6 = x
X intercept is (6,0)
Y intercept:
y = -1/3(0) + 2
y= 2
Y intercept is (0,2)
For the red line, we have:
gradient (
) = 1/3
y-intercept = 3
Equation of straight line is given by
, where
is the gradient and
is where the line intercept the y-axis
So we have,
The shaded part is above the line, hence the first inequality is
The black line, we have
gradient,
= 3
y-intercept = -2
, rearranging gives
The shaded region is to the right of the line, hence the inequality is
Note: The first option should be the correct answer but the inequality sign for <span>y > 1/3x + 3 should be </span>
Answer:
1,690
Step-by-step explanation:
8x9x20 + 5x5x10
Answer:
D
Step-by-step explanation:
lines are parallel, cut by transversal, so:
x=29° (alternate interior angles)
in a parallelogram, opposite angles are congruent, so:
z=119°
therefore, y=32° since D is the only option where x=29° and z=119°