Answer:
two vertex are: (1 , 6.2) , (1 , - 4.2)
Step-by-step explanation:
A(-2, 1) and B (4, 1) AB is a parallel segment with x axis
The 3rd vertex P (x , y) will locate at the mid point of AB
x = (-2) + (4 - (-2)) /2 = 1 P (1 , y)
length AB = 4 - (-2) = 6
AP = AB (equilateral)
BP² = (4 - 1)² + (1 - y)² = 6²
1 - 2y + y² = 36 - 9 = 27
y² - 2y -26 = 0
y = ((-(-2)) ± √(-2)² - 4 x (-26)) / 2 = (2 ± √108) / 2 = 1 ± 5.2
y = 6.2 or y = -4.2
P (1 , 6.2) or P ( 1 , -4.2)
Answer:
Answer;
-38 %
Step-by-step explanation:
Explanation;
-Budget busters are the large potential problem areas that can destroy a budget. Failure to control even one of these problem areas can result in financial disaster.
-Housing takes about 38 percent of your monthly budget. Housing decisions should be based on need and financial ability, not on internal or external pressure.
-Food takes 12 percent of your monthly budget. The reduction of a family's food bill requires quantity and quality planning.
-Transportation (purchase and maintenance), takes 15 percent of your monthly budget, Debts takes 5 percent of Net Spendable Income, Insurance takes 5 percent of Net Spendable Income assuming an employer provides medical insurance, Recreation/Entertainment takes 5 percent of Net Spendable Income, Clothing takes 5 percent of Net Spendable Income, Medical and dental takes 5 percent of Net Spendable Income and Savings takes 5 percent of Net Spendable Income
Answer:
c = 34/d
d = 1/2
Step-by-step explanation:
Part A
Basic Formula
c = k/d
17 = k/2 Multiply both sides by 2
17*2 = k*2/2 Combine
34 = k
So the equation is c = 34/d
Part B
c = 68
k = 34
d = ?
68 = 34/d Multiply both sides by d
68*d = 34 * d/d Simplify.
68 d = 34 Divide by 68
d = 34/68 Simplify
d = 1/2
Complete question:
Benjamin decides to treat himself to breakfast at his favorite restaurant. He orders chocolate milk that costs \$3.25$3.25dollar sign, 3, point, 25. Then, he wants to buy as many pancakes as he can, but he wants his bill to be at most \$30$30dollar sign, 30 before tax. The restaurant only sells pancakes in stacks of 444 pancakes for \$5.50$5.50dollar sign, 5, point, 50. Let SSS represent the number of stacks of pancakes that Benjamin buys. 1) Which inequality describes this scenario?
Answer:
Kindly check explanation
Step-by-step explanation:
Given that :
Cost of chocolate milk = $3.25
Cost of pancakes = $5.50 (stack of 4)
Number of stacks of pancakes purchased = S
Maximum amount spent ≤ $30
Cost of chocolate + (Cost of pancake stack * number of stacks) ≤ $30
3.25 + 5.50S ≤ 30
5.50S ≤ 30 - 3.25
5.50S ≤ 26.75
S ≤ 26.75 / 5.50
S ≤ 4.86
Hence maximum number of pancake stacks he can purchase without exceeding budget = 4
Hence total number of pancakes = number of stacks * number in a stack
= 4 * 4
= 16
