Answer:
y = -3x + 7.
Step-by-step explanation:
First find the slope of the given line by converting to intercept form:
3x + y + 2 = 0
y = -3x - 2
So the slope is -3.
Then the line we want has a slope of -3 also (as it is parallel).
y - y1 = m(x - x1) where m is the slope and (x1, y1) is a point on the line:
m = -3, x1 = 1 and y1 = 4, so we have:
y - 4 = -3(x - 1)
y = -3x + 3 + 4
y = -3x + 7.
Consecutive numbers would be like 2 and 3, or 7 and 8.
All we need to do is keep multiplying pairs of consecutive numbers until we get above 50.
1 × 2 = 2 (that's one.)
2 × 3 = 6 (two)
3 × 4 = 12 (three)
4 × 5 = 20 (four)
5 × 6 = 30 (five)
6 × 7 = 42 (six...)
<em>7 × 8 = 56 > 50</em>
We have a total of 6 numbers that equal the product of 2 consecutive intergers<em>
</em>
Answer:
D. A rectangle and an isosceles triangle
Step-by-step explanation:
In the figure attached, the sign is shown. There we can see an arrow, which can be decomposed into a rectangle (on the left of the figure) and an isosceles triangle (on the right of the figure)
F(x) = 50x + 20
y= 50x + 20
120 = 50(2) + 20
0 <(or equal to) x <(or equal to) 2
There is no solution since ln(0) is undefined