Answer:
Step-by-step explanation:
we have
This is the equation of a vertical parabola open upward
The vertex is a minimum
The equation of a vertical parabola in vertex form is equal to
where
(h,k) is the vertex
Convert the given function to vertex form
Factor the leading coefficient
Complete the square
Rewrite as perfect squares
------> equation in vertex form
The vertex is the point (2,6)
Answer:
x < 293 / 700
Step-by-step explanation:
−35x + 15 > 7/20
Multiplying all through by 20
-700x + 300 > 7
-700x > 7 - 300
-700x > -293
Divide all through by 700
- x > - 293 / 700
Multiply all through by -
x < 293 / 700
15ft because 12x.25=3 so 3ft is 25% of the 12ft, add the 3+12=15
Answer:
Both answers are 3.
Step-by-step explanation:
10^3 = 10 * 10 * 10 = 1000
When you multiply 42.12 by 10^3, you are multiplying 42.12 by 1000.
When you multiply a number by a power of 10, such as 10, 100, 1000, etc., move the decimal point of the number to the right the same number of places as the number of zeros in the power of 10.
42.12 * 1000 = 42,120
Answer:
See explanation
Step-by-step explanation:
<u> ASA Postulate (Angle-Side-Angle):</u>
If two angles and the included side of one triangle are congruent to the corresponding parts of another triangle, then the triangles are congruent.
Consider triangles XYB and ZYA. In these triangles
- ∠X≅∠Z (given)
- XY≅ZY (given)
- ∠Y is common angle
By ASA Postulate, triangles XYB and ZYA are congruent. Congruent triangles have congruent corresponding sides, so
BX≅AZ
