Answer:
D) ( 0,0); minimum
Step-by-step explanation:
The given graph represent the graph of the parent quadratic function
This graph opens upwards, hence the vertex is the minimum point on the graph of this function.
The graph has its vertex at the origin, (0,0).
The correct option is D.
Answer:
The length of AD is 4 cm
Step-by-step explanation:
* Lets explain how to solve the problem
- In Δ ABC
- Point D lies on side AB ans point E lies on side BC
- Segment DE parallel to the side AC
- AB = 16 cm , AC = 20 cm , DE = 15 cm
* Lets solve the problem
- In Δ ABC
∵ DE // AC
∴ m∠BDE = m∠BAC ⇒ corresponding angles
∴ m∠BED = m∠BCA ⇒ corresponding angles
* Lets use similarity to prove that Δ BDE similar to Δ BAC
- In triangles BDE and BAC
∵ m∠BDE = m∠BAC
∵ m∠BED = m∠BCA
∵ ∠B is a common angle in the two triangles
∴ Δ BDE ≈ Δ BAC ⇒ by AAA
∴ Their corresponding sides are proportion
∴
∵ AB = 16 cm , AC = 20 cm , DE = 15 cm
∴
∴
- By using cross multiplication
∴ 4 BD = 16 × 3
∴ 4 BD = 48
- Divide both sides by 4
∴ BD = 12 cm
∵ Point D divides side AB into two parts BD and DA
∴ AB = BD + AD
∵ AB = 16 cm
∵ BD = 12 cm
∴ 16 = 12 + AD
- Subtract 12 from both sides
∴ AD = 4 cm
* The length of AD is 4 cm