Answer
D. `(y+4) = (5)/(3)(x+ 1)`
Step by step explanation
The given points are (-1, -4) and (2, 1)
Slope = (y2 - y1)/(x2 - x1)
= (1 - (-4)) / (2 - (-1))
= (1 + 4) / (2 +1)
m = 5/3
When two points are given, the equation of the line is
(y - y1) = m (x - x1)
y -(-4) = 5/3 (x - (-1))
y + 4 = 5/3 (x + 1)
The answer is (y+4) = (5)/(3)(x+ 1)
Thank you.
Answer:
Side a = 35ft
Side b = 35ft
Side c = 20ft
Step-by-step explanation:
The formula for the perimeter of a triangle = Side a + Side b + Side c
In an isosceles triangle, 2 sides are equal to each other.
So, Side a = Side b
In the question, we are told that:
The two equal sides are each 5 ft less than twice the length of the third side.
Hence,
a = 2c - 5
b = 2c - 5
P = 90ft
P = a + b + c
90 = 2c - 5 + 2c - 5 + c
Collect like terms
90 = 5c - 10
90 + 10 = 5c
100 = 5c
c = 100/5
c = 20
The length of the third side = 20ft
a = 2c - 5
= 2 × 20 - 5
= 40 - 5
= 35 ft
b =2c - 5
= 2 × 20 - 5
= 40 - 5
= 35 ft
Therefore,
Side a = 35ft
Side b = 35ft
Side c = 20ft
Answer:
Cost of shoes = $37.4925
Cost of jacket = $92.4533
Tax = $9.81
Total paid = $144.2458
Step-by-step explanation:
Normal price of shoes = $49.99
Discount = 25%
Discounted price:
![\$49.99 - \$49.99\times \dfrac{25}{100} = \$37.4925](https://tex.z-dn.net/?f=%5C%2449.99%20-%20%5C%2449.99%5Ctimes%20%5Cdfrac%7B25%7D%7B100%7D%20%3D%20%5C%2437.4925)
Normal price of jacket = $137.99
Discount = 33%
Discounted price:
![\$137.99 - \$137.99\times \dfrac{33}{100} = \$92.4533](https://tex.z-dn.net/?f=%5C%24137.99%20-%20%5C%24137.99%5Ctimes%20%5Cdfrac%7B33%7D%7B100%7D%20%3D%20%5C%2492.4533)
Price of pack of cookies = $4.49
No discount on cookies as per question statement.
Total amount without tax = $37.4925 + $92.4533 + $4.49 = $134.4358
Sales Tax = 7.3% of total amount without tax = 7.3%
$134.4358 = $9.81
Total paid = $134.4358 + $9.81 = <em>$144.2458</em>
7 - 2 = 5
5 / 5 = 1
The answer would be 1.
Answer:
B. $7.04
Step-by-step explanation:
5.28 / 3 = 1.76
1.76 x 4 = 7.04