Answer:
Choice B:
.
Step-by-step explanation:
For a parabola with vertex
, the vertex form equation of that parabola in would be:
.
In this question, the vertex is
, such that
and
. There would exist a constant
such that the equation of this parabola would be:
.
The next step is to find the value of the constant
.
Given that this parabola includes the point
,
and
would need to satisfy the equation of this parabola,
.
Substitute these two values into the equation for this parabola:
.
Solve this equation for
:
.
.
Hence, the equation of this parabola would be:
.
Answer:
Hello your question is incomplete attached below is the complete question
Given: wxyz is a parallelogram, zx ≅ wy prove: wxyz is a rectangle what is the missing reason in step 7? a. triangle angle sum theorem. b. quadrilateral angle sum theorem. c. definition of complementary. d. consecutive ∠s in a ▱ are supplementary. 1. wxyz is a ▱; zx ≅ wy 1. given 2. zy ≅ wx 2. opp. sides of ▱ are ≅ 3. yx ≅ yx 3. reflexive 4. △zyx ≅ △wxy 4. sss ≅ thm. 5. ∠zyx ≅ ∠wxy 5. cpctc 6. m∠zyx ≅ m∠wxy 6. def. of ≅ 7. m∠zyx + m∠wxy = 180° 7. ? 8. m∠zyx + m∠zyx = 180° 8. substitution 9. 2(m∠zyx) = 180° 9. simplification 10. m∠zyx = 90° 10. div. prop. of equality 11. wxyz is a rectangle 11. rectangle ∠ thm.
answer: consecutive angles of any parallelogram are supplementary
Step-by-step explanation:
The missing reason in step 7 is : consecutive angles of any parallelogram are supplementary i.e. m∠ZYX + m∠WXY = 180°
<u>Reason </u>: ZY || WX also XY is the transversal line hence ∠wyx and ∠wxy are the consecutive angles on lines ZY and WX therefore m∠ZYX + m∠WXY = 180° ( sum of consecutive angles )
It is 1/10 times the value represented in the 2 in 423.
It is 10 times the value represented in the 2 in 72
B because it is moved but doesn’t change size
Answer:
-24
Step-by-step explanation:
-4*2*3= -24