Answer:
-6
Step-by-step explanation:
3x-3(x+1)-3
3x-3x-3-3
-3-3
-6
You just simply divide 7 by 30. The answer would be 0.233333
Answer:
B) BC'= 8, m A'= 28°
Step-by-step explanation:
When dilating a figure, it increases its size or decreases. In this case, as it is dilating by a factor of 1/2, you can assume it decreases.
To find the value of the new figure, A'B'C', you have to multiply the factor times the lengths of the triangle, or, the only one they are asking for in this case, the length BC':
- BC' = BC×1/2
- BC' = 16×1/2
- BC' = 8
The angles, otherwise, do not change. When figures are dilated, they are similar. The properties of similar figures are that they have congruent angles, therefore, the same angles. They do not have any effect caused by the factor, so m A' stays at 28°.
We have that
y = 3x²<span>+ 2x + 1
step 1</span>
Group terms that contain the same variable, and move the constant to the opposite side of the equation
y -1= (3x²+ 2x)
step 2
Factor the leading coefficient
y -1= 3*(x²+ 2/3x)
step 3
Complete the square. Remember to balance the equation by adding the same constants to each side
y -1+(1/3)= 3*(x²+ (2/3)x+(4/36))
y-2/3=3*(x+2/6)²
the vertex is the point (-2/6, 2/3)------> (-0.33,0.67)
the answer is
(-0.33,0.67)
Angles RZT, RZS, and TZS form triangle RZT, so they sum to 180. Thus, we have:
110+3s+8s=180
Simplifying, we have:
11s=70
Dividing by 11, we see that:
s=70/11
Therefore, RZS=3s=210/11, and TZS=8s=560/11.
