Answer:
line of slope 1 move up 7, so that there is a y-intercept of 7
Step-by-step explanation:
1)
Australia
4 consonants (s, t, r, l)
5 vowels (a, u, a, i, a)
consonants : vowels = 4 : 5
2)
123446789
4 odd digits (1, 3, 7, 9)
5 even digits (2, 4, 4, 6, 8)
odd digits : even digits = 4 : 5
3)
Elizabeth
5 consonants (l, z, b, t, h)
4 vowels (e, i, a, e)
consonants : vowels = 5 : 4
4)
234567899
5 composite digits (4, 6, 8, 9, 9)
4 prime digits (2, 3, 5, 7)
composite digits : prime digits = 5 : 4
The situations that have a ratio of 4:5 are: consonants to vowels in the name Australia and odd digits to even digits in 123446789.
Answer:
Left 4 units
Step-by-step explanation:
h(x) is a line with slope 2. Let's say it has y-intercept b. So:
h(x) = 2x + b
d(x) is h(x) shifted up 8 units. So:
d(x) = h(x) + 8
d(x) = 2x + b + 8
We want to shift h(x) left or right to get d(x). If we say that shift is a units to the right, then:
h(x−a) = d(x)
2(x−a) + b = 2x + b + 8
2x − 2a + b = 2x + b + 8
-2a = 8
a = -4
a is negative, so the shift is to the left.
h(x) should be shifted to the left 4 units.
The equation is y=1/2x+2
hope this helps