Answer:

Step-by-step explanation:
The formula for the area of rectangle is length times width:

Use FOIL method:

Assign the following variables for the origina3l rectangle:
let w = width let w + 8 = length and the area would be w(w + 8) = w² + 8w
No for the second rectangle:
let (w + 4) = width and (w + 8 - 5) or (w + 3) = length
Area = length x width or (w + 4)(w + 3) = w² + 3w + 4w + 12 using the foil method to multiply to binomials. Simplified Area = w² + 7w + 12
Now our problem says that the two area will be equal to each other, which sets up the following equation:
w² + 8w = w² + 7w + 12 subtract w² from both sides
8w = 7w + 12 subtract 7w from both sides
w = 12 this is the width of our original rectangle
recall w + 8 = length, so length of the original rectangle would be 20
Answer:
6 baskets did Kiran score on Thursday
Step-by-step explanation:
As per the statement:
Kiran scored 36 baskets in 1 week.
On weekend she scored =
baskets.
She scored 1/4 of them on Tuesday
⇒On Tuesday she scored =
baskets
She scored 1/12 of them on Wednesday
⇒On Wednesday she scored =
baskets.
Then;
She scored = On Weekend + On Tuesday + On Wednesday = 18+9+3 = 30 baskets.
Rest on Thursday she scored = 36 - 30 = 6 baskets.
Therefore, 6 baskets did Kiran score on Thursday
Answer:
S₁₅ = 645
Step-by-step explanation:
The sum to n terms of an arithmetic sequence is
=
[ 2a₁ + (n - 1)d ]
where a₁ is the first term and d the common difference
Using the nth term formula
= 5n + 3 , then
a₁ = 5(1) + 3 = 5 + 3 = 8
a₂ = 5(2) + 3 = 10 + 3 = 13 , then
d = a₂ - a₁ = 13 - 8 = 5
Thus
S₁₅ =
[ (2 × 8) + (14 × 5) ]
= 7.5( 16 + 70)
= 7.5 × 86
= 645
Answer:
y = 2x - 4
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = 2, thus
y = 2x + c ← is the partial equation
To find c substitute (5, 6) into the partial equation
6 = 10 + c ⇒ c = 6 - 10 = - 4
y = 2x - 4 ← equation of line