Answer:
lete try to help you my insta it's Cruzz_ and other letters
C so a proportional relationship
If you expand out the brackets you get this,
(4+5i)(a+2i) = 4a + (5a)i + 8i - 10
The -10 comes from 5i * 2i.
Squaring i becomes -1.
Let's group the real stuff together,
and imaginary separately,
(4a - 10) + (5a + 8)i
For this to be purely imaginary,
the real part needs to be zero.
Therefore 4a - 10 = 0
Solve for a.
Answer:
x = 2 and x = -1
Step-by-step explanation:
The zeroes of the function are found by setting g(x) equal to 0:
g(x) = (x - 2)(3x + 3) = 0
By the Zero Product Property, in order for this equation to be equal to 0, each of (x - 2) or (3x + 3) or both has to equal 0. So, set each equal:
x - 2 = 0
x = 2
3x + 3 = 0
3x = -3
x = -3/3 = -1
The zeroes are thus x = 2 and x = -1.
<em>~ an aesthetics lover</em>
Answer:
98 yards
Step-by-step explanation:
The new width is 40 yds + 2 yds = 42 yds.
Area = L × W
4200 square yds = L × 42 yds
L = 4200 yds ÷ 42 yds = 100 yds
The new length is 100 yds.
The old length = the new length - the width of the path × 2 = 100 yds - 1 yd × 2 = 100 yds - 2 yds = 98 yds.
The length of the park was 98 yds, before the path was built.
