Answer:
Step-by-step explanation:
Given △KMN, ABCD is a square where KN=a, MP⊥KN, MP=h.
we have to find the length of AB.
Let the side of square i.e AB is x units.
As ADCB is a square ⇒ ∠CDN=90°⇒∠CDP=90°
⇒ CP||MP||AB
In ΔMNP and ΔCND
∠NCD=∠NMP (∵ corresponding angles)
∠NDC=∠NPM (∵ corresponding angles)
By AA similarity rule, ΔMNP~ΔCND
Also, ΔKAP~ΔKPM by similarity rule as above.
Hence, corresponding sides are in proportion
Adding above two, we get
⇒ 
⇒ 
⇒ 
⇒ 
⇒ 
⇒ 
8(t^2+t-9) should be the answer
A hamburger costs $2.5 and a milkshake costs $1.75
Step-by-step explanation:
- Step 1: Form equations from the given details. Let cost of 1 hamburger be H and cost of 1 milkshake be M.
4H + 2M = 13.50 ------ (1)
& 3H + 1M = 9.25 ------ (2)
- Step 2: Multiply eq(2) with 2 to make coefficients of M equal.
6H + 2M = 18.50 ------- (3)
- Step 3: Subtract eq(3) from eq(1)
⇒ - 2H = - 5
⇒ H = $2.5
- Step 4: Substitute value of H in eq(2) to find M.
⇒ 3 × 2.5 + M = 9.25
⇒ 7.5 + M = 9.25
⇒ M = $1.75
Answer: c. x=-1 and x=7
Step-by-step explanation:
Answer:
The sequence converges to 0.
Step-by-step explanation:
Every new number is divided by 4 and will continue to grow smaller until it converges to 0.
