Answer:
k = 3
Step-by-step explanation:
Given
f(x) = 0.5x
g(x) = 0.5x - k
Required
Find k
<em>The question illustrates changing of positions of lines along the x and/or y axis;</em>
<em>But in this case; if graph f(x) is shifted down, then it represents a negative shift of points in the y axis.</em>
Given that f(x) = 0.5x
and f(x) is shifted down by 3 units to give g(x); then:
f(x) - 3 = g(x)
Substitute 0.5x for f(x)
0.5x - 3 = g(x)
Recall that g(x) = 0.5x - k ---------- (given)
0.5x - 3 = 0.5x - k
Subtract 0.5x from both sides
-0.5x + 0.5x - 3 = -0.5x + 0.5x - k
-3 = -k
Multiply both sides by -1
-3 * -1 = -k * -1
3 = k
k = 3
<em>Hence, the value of k is 3</em>
Answer:
y = root under 24 (evaluate it if necessary)
or y = 2 root 6
Step-by-step explanation:
Let the reference angle be x
for the triangle in left,
b = 6-4 = 2
Now,
taking x as refrence angle,
cosx = b/h
or, cosx = 2/h
again,
for the bigger triangle,
taking x as reference angle,
cosx = b/h
or, cosx = b/6
As we can see base of bigger triangle is equal to hypotenuse of triangle at the left,
Let's suppose its a
so, cosx = a/6 = 2/a
now,
a/6 = 2/a
or, a² = 12
now,
for bigger triangle, using pythagoras theorem,
h² = p²+b²
or, 6² = y² + a²
or, 36 = y² + 12
or, y² = 24
so, y = root under 24
4/5 divided by 1/10 is 8 the answer is 8
12,17,23,23,25
mod = 23
median = 23
Answer:
20 minutes
Step-by-step explanation:
To make one round of the field, Lisa will have to cover the entire perimeter of the field.
The perimeter of a rectangle = 2(l+w) Where L = length and W = width.
The multiplication of 2 means two lengths and widths that each rectangle has. The perimeter of the field = 2(150 +50) = 400m
Lisa's average running speed = 100m/min
The time taken to cover one round of the field or one perimeter of the field = 400/100 = 4 minutes.
To cover 5 rounds or 5 perimeters Lisa will take 5x4 minutes = 20 minutes.
