Answer:
3a=6-3
Step-by-step explanation:
if you have the equation 3a + 3 = 6, you have to move 3 to the other side of the equation to isolate it. To do this, you subtract 3 from both sides giving you 3a=6-3
Hope this helped
Answer:
The answer is option 1.
Step-by-step explanation:
In order to simplify the expressions, you have to collect like terms :
3a² + 9ab + 5 - 4a² - 4ab + 3
= (3a² - 4a²) + (9ab - 4ab) + (5 + 3)
= -a² + 5ab + 8
Answer:
7,700
Step-by-step explanation:
-175 x 6 = -1,050
-1,050 + 8,750 = 7,700
Answer:
y = 3x
Step-by-step explanation:
Let's select two points from the given graph.
(1,3) (3,9)
Now, let's use slope formula to find the slope.
m = y2-y1/x2-x1
= 9-3/3-1
= 6/2
= 3
Let's substitute/plug this value into the slope-intercept form.
y = 3x + b
We can see that the y-intercept is 0, from the graph.
b = 0
Therefore,
y = 3x
Answer:
<u>Triangle ABC and triangle MNO</u> are congruent. A <u>Rotation</u> is a single rigid transformation that maps the two congruent triangles.
Step-by-step explanation:
ΔABC has vertices at A(12, 8), B(4,8), and C(4, 14).
- length of AB = √[(12-4)² + (8-8)²] = 8
- length of AC = √[(12-4)² + (8-14)²] = 10
- length of CB = √[(4-4)² + (8-14)²] = 6
ΔMNO has vertices at M(4, 16), N(4,8), and O(-2,8).
- length of MN = √[(4-4)² + (16-8)²] = 8
- length of MO = √[(4+2)² + (16-8)²] = 10
- length of NO = √[(4+2)² + (8-8)²] = 6
Therefore:
and ΔABC ≅ ΔMNO by SSS postulate.
In the picture attached, both triangles are shown. It can be seen that counterclockwise rotation of ΔABC around vertex B would map ΔABC into the ΔMNO.