Step-by-step explanation:
step 1. the perfect square will look like this: (7x + a)(7x + a) = (7x + a)^2.
step 2. by performing FOIL you will get 49x^2 + 14xa + a^2.
step 3. 14a = 84. a = 6
step 4. a^2 = 36.
step 5. k = 36.
Answer:
-2
Step-by-step explanation:
The slope of a line is rise/run
So, just see how much the line rises/how much the line runs
In this case, the line rises 2 units for every -1 unit it runs
So, the slope is -2
Estimation is the process of making quick mental calculation of a value, quantity, or number.
We basically do estimation every day of our lives.
For example, we want to order several pizzas. We know that each pizza costs between $5 to $10. We order 3 pizza pies; Pie 1 = $6; Pie 2 = $8; Pie 3 = $9.
In getting an estimate, we either overestimate or underestimate. We know that whether a product of an estimate is overestimated or underestimated by the direction of the rounded up numbers.
We overestimate, when we round up the numbers
We underestimate, when we round down the numbers.
Overestimate: $10 x 3 pizza = $30 total cost
Underestimate: $5 x 3 pizza = $15 total cost
Actual cost: $6 + $8 + $9 = $23
In estimating expenses, it is better to overestimate. This gives us an allowance when incidental expenses incur.
In estimating income, it is better to underestimate. It gives us a more realistic value of the income.
Answer:
Part 1)
Part 2)
Part 3)
Step-by-step explanation:
Part 1) Find sin(2x)
we know that
we have
Find cos(x)
Remember that
substitute
-----> is positive because angle x belong to the I quadrant
Find sin(2x)
we have
so
Part 2) Find cos(2x)
we know that
we have
so
Part 3) Find tan(2x)
we know that
we have
so
Answer: Option 'A' is correct.
Explanation:
Cost of 9 ounces of apples = $1.89
Cost of 1 ounce of apple is given by
Now, if he bought 1 pound of apple,
Cost of 1 pound of apple = $2.49
Cost of 16 ounces = $2.49
(∵ 1 pound = 16 ounces)
Cost of 1 ounce of apple is given by
So, Second option is the least expensive if he bought 1 pound of apple for $2.49
Then, he will save which is given by
Hence, option 'A' is correct.