Answer:
a. y = 3/2x - 12
Step-by-step explanation:
Slope is y = mx + b
Slope or m = 3/2
y-intercept or b = -12
Substitute m for 3/2 and b for -12 then the answer would be y = 3/2x - 12
Answer:
x=8 x=-8
Step-by-step explanation:
-3|x|=-24
Divide each side by -3
-3|x|/-3=-24/-3
|x|=8
There are 2 solutions a positive and a negative
x=8 x=-8
Answer:
AD= 5.82 units (3 s.f.)
Step-by-step explanation:
Please see attached picture for full solution.
*skipped these steps in the beginning:
∠ABC +∠ABD= 180° (adj. ∠s on a str. line)
90° +∠ABD= 180°
Answer: C. ![\frac{7}{25}-\frac{24}{25}i](https://tex.z-dn.net/?f=%5Cfrac%7B7%7D%7B25%7D-%5Cfrac%7B24%7D%7B25%7Di)
Step-by-step explanation:
1. You have the following division:
(As you can see, to find the conjugate of 4-3i you must change the sign between the terms).
2. To solve this division, you must multiply the numerator and the denominator by the conjugate of the denominator, as following:
![=\frac{(4-3i)}{(4+3i)}\frac{(4-3i)}{(4-3i)}=\frac{16-12i-12i+9i^{2}}{16-9i^{2}}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B%284-3i%29%7D%7B%284%2B3i%29%7D%5Cfrac%7B%284-3i%29%7D%7B%284-3i%29%7D%3D%5Cfrac%7B16-12i-12i%2B9i%5E%7B2%7D%7D%7B16-9i%5E%7B2%7D%7D)
3. Keeping on mind that
, you have:
![=\frac{16-12i-12i+9(-1)}{16-9(-1)}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B16-12i-12i%2B9%28-1%29%7D%7B16-9%28-1%29%7D)
4. Simplifying:
![=\frac{7-24i}{25}=\frac{7}{25}-\frac{24}{25}i](https://tex.z-dn.net/?f=%3D%5Cfrac%7B7-24i%7D%7B25%7D%3D%5Cfrac%7B7%7D%7B25%7D-%5Cfrac%7B24%7D%7B25%7Di)
5. The result is:
![\frac{7}{25}-\frac{24}{25}i](https://tex.z-dn.net/?f=%5Cfrac%7B7%7D%7B25%7D-%5Cfrac%7B24%7D%7B25%7Di)