Answer:
-30
Step-by-step explanation:
Evaluate 4 a + 7 b + 3 a - 2 b + 2 a where a = -5 and b = 3:
4 a + 7 b + 3 a - 2 b + 2 a = -5×4 + 7×3 - 5×3 - 2×3 - 5×2
4 (-5) = -20:
-20 + 7×3 - 5×3 - 2×3 - 5×2
7×3 = 21:
-20 + 21 - 5×3 - 2×3 - 5×2
3 (-5) = -15:
-20 + 21 + -15 - 2×3 - 5×2
-2×3 = -6:
-20 + 21 - 15 + -6 - 5×2
2 (-5) = -10:
-20 + 21 - 15 - 6 + -10
-20 + 21 - 15 - 6 - 10 = 21 - (20 + 15 + 6 + 10):
21 - (20 + 15 + 6 + 10)
| 1 |
| 2 | 0
| 1 | 5
| 1 | 0
+ | | 6
| 5 | 1:
21 - 51
21 - 51 = -(51 - 21):
-(51 - 21)
| 5 | 1
- | 2 | 1
| 3 | 0:
Answer: -30
Answer:
2x + 3y = -13
Step-by-step explanation:
We can first find the equation of the line in point-slope form. The slope of the line is given by 
, which is (-5-(-3))/(1-(-2)), or -2/3. The equation for a line in point-slope form is 
where 
is the slope and 
is a point on the line -- in this case, we may use (1, -5). Therefore, the equation for the line is y + 5 = -2/3 (x-1).
The question asks for the equation of the line in standard form -- which is 
. We can get this by simplifying the equation above to get
.
Answer:
125˚
Step-by-step explanation:
The angles given are supplementary. So we can set up the equation :
(3x+5)+(x+15)=180
Then we can solve for x.
Combine like terms:
4x+20=180
4x+20-20=180-20
4x=160
4x/4=160/4
x=40
Now we plug in 40 for x.
3(40)+5=<A
120+5=<A
<A=125
Answer: 126cm, 136.5cm, 147cm, 144cm, 100cm
Step-by-step explanation: 5% increase is the same as multiplying by 1.05, and to do it in reverse you divide instead.
120*1.05=126cm
130*1.05=136.5cm
140*1.05=147cm
151.2/1.05=144cm
105/1.05=100cm
Answer:
never skew
Step-by-step explanation:
