Answer:
Step-by-step explanation:
Step 2, she factored the trinomial incorrectly. She did, "what two numbers multiply to equal 6 but add to equal 5?" She should have asked multiply to equal -6 and add to equal 5. The correct factorization would be:
(x+6)(x-1) = 0
x = -6 and 1
Formula for perimeter ;
P = length + length + width + width
P = 2l + 2w
l = -4 + 5w
l = 5w - 4
substitute into equation of perimeter
292 = 2(5w - 4) + 2w
292 = 10w - 8 + 2w
292 + 8 = 10w + 2w
300 = 12w
25 = w
substitute into eqution to find the length;
l = 5(25) - 4
l = 125 - 4
l = 121
therefore, the width is 25 and the length is 121
hope that helps, God bless!
Let the 3-digit palindrome be 101a+10b. a+a+ab=8+b, so 2a+ab-b=8.
2a+b(a-1)=8; b=2(4-a)/(a-1). From this we know that a > 1. And we know 4-a > 0 so a < 4.
This limits a to 2 and 3 which make b=4 and 1.
The palindromes are 242 and 313.
Answer:
$2.25
Step-by-step explanation:
First, we (always) highlight key details. In this case, we would highlight that th candy is 90 cents per pound, and the she bought 2.5 pounds. Now, we just multiply 2.5 by .90, and boom! We get $2.25. Mrs. Nixon spent $2.25 (or two dollars and twenty-five cents) on candy bars.
X=60° (equilateral triangle)
y=120°
Working: (360°-120°)/2