Answer:
The constant of variation is k = -2 ⇒ (B)
Step-by-step explanation:
The equation of the direct variation is y = k x, where
- k is the constant of variation
- The constant of variation k =
The given table has 4 points (-1, 2), (0, 0), (2, -4), (5, -10)
We can use one of the points <em>[except point (0, 0)]</em> to find the value of k
∵ (-1, 2) is a given point
∴ x = -1 and y = 2
∵ k =
→ Substitute the values of x and y in the relation above
∴ k = 
∴ k = -2
The constant of variation is k = -2
The length of BC is 
.
Solution:
Given ABC is a right triangle.
AC is the hypotenuse and BD is the altitude.
AB and BC are legs of the triangle ABC.
AC = 16 and DC = 5
<u>Leg rule of geometric mean theorem:</u>
Do cross multiplication.
Taking square root on both sides.
square and square roots get canceled, we get
The length of BC is .
The budget is $44000
Total spent so far is $10000 + $8500 = $18500
The amount left to spend = 44000 - 18500 = $25500
$25500 is the maximum 6% commission that Lastima Nelson Inc. can spend and stays within the budget
Let the maximum price of the home be
This value of
will be the 100% before the 6% commission is calculated of it.
6% of
is 25500
1% of
is 25500 ÷ 6 = $4250
100% of
is 4250 × 100 = $425,000
So, the maximum value of the home is $425,000
Answer: .1.) 28.8
9.) 150 ft
8.) 630 ft
10.) 5'10"
Step-by-step explanation:. Ratios set up as fractions. 12/25 :x/60
cross multiply. 12 × 60 = 720. Divide by denominator if left side.
720/25 = 28.88
