Use a sum or difference identity to evaluate. sin15∘
1 answer:
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2)
let's say the number is "a".
"two more than the number" ----> a + 2
"five times more than that" -----> 5 * (a + 2) ---> 5(a + 2)
"the sum of that number and 5 times the number more than 2"
a + 5(a + 2)
"is 26 more than four times the number" ----> = 4*a + 26 ---> = 4a + 26
a + 5(a + 2) = 4a + 26
3)
"eight times the number" ---> 8 * a, or 8a
"3 less than that" ----> 8a - 3
"the number increased by 1" ---> a + 1
"16 times that" ---> 16(a + 1)
"half that" ----> [ 16(a + 1) ] / 2
4)
5)
notice each equation, they're both in slope-intercept form, y = mx + b.
now, notice their slope, is the same for both, notice their y-intercept, it varies.
same slope, different y-intercept simply means, the lines are parallel.
let's say the number is "a".
"two more than the number" ----> a + 2
"five times more than that" -----> 5 * (a + 2) ---> 5(a + 2)
"the sum of that number and 5 times the number more than 2"
a + 5(a + 2)
"is 26 more than four times the number" ----> = 4*a + 26 ---> = 4a + 26
a + 5(a + 2) = 4a + 26
3)
"eight times the number" ---> 8 * a, or 8a
"3 less than that" ----> 8a - 3
"the number increased by 1" ---> a + 1
"16 times that" ---> 16(a + 1)
"half that" ----> [ 16(a + 1) ] / 2
4)
5)
notice each equation, they're both in slope-intercept form, y = mx + b.
now, notice their slope, is the same for both, notice their y-intercept, it varies.
same slope, different y-intercept simply means, the lines are parallel.