Answer:
65
Step-by-step explanation:
2 - 3 ( 5 + 2 ) ( 5 - 8 )
= 2 - 3 ( 7 ) ( -3 )
= 2 + 63
= 65
If a line is parallel to another line,Then the gradients are the same.So m=4 .Using general formula for str8 line, y=mx+c
sub in coorfinates (1,13)
So C=9.
Answer:
q = -8, k = 2.
r = -6.
Step-by-step explanation:
f(x) = (x - p)^2 + q
This is the vertex form of a quadratic where the vertex is at the point (p, q).
Now the x intercepts are at -6 and 2 and the curve is symmetrical about the line x = p.
The value of p is the midpoint of -6 and 2 which is (-6+2) / 2 = -2.
So we have:
f(x) = 1/2(x - -2)^2 + q
f(x) = 1/2(x + 2)^2 + q
Now the graph passes through the point (2, 0) , where it intersects the x axis, therefore, substituting x = 2 and f(x) = 0:
0 = 1/2(2 + 2)^2 + q
0 = 1/2*16 + q
0 = 8 + q
q = -8.
Now convert this to standard form to find k:
f(x) = 1/2(x + 2)^2 - 8
f(x) = 1/2(x^2 + 4x + 4) - 8
f(x) = 1/2x^2 + 2x + 2 - 8
f(x) = 1/2x^2 + 2x - 6
So k = 2.
The r is the y coordinate when x = 0.
so r = 1/2(0+2)^2 - 8
= -6.
$240
Step-by-step explanation:
300×0.80 OR 300-(300×0.20)
Answer:
The answer is 5/13 or 5:13
Step-by-step explanation:
There are 18 students in total. And among them there are 5 boys. You would do
18-5=13
5 boys
13 girls
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