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sergij07 [2.7K]
3 years ago
5

The variables x and y vary directly. Given the model y = -2x , find the value of x when

Mathematics
2 answers:
Mnenie [13.5K]3 years ago
3 0
The answer is A. 8

Hope this helped
madam [21]3 years ago
3 0

Answer:

a.8

Step-by-step explanation:

y=-16

-16=-2x

16=2x

x=16/2=8

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The city of Orlando’s building a dog park in downtown Orlando dog park will be triangular shaped as shown on the coordinate plan
kiruha [24]

Answer:

Perimeter of the dog park = 15.4 yards

Step-by-step explanation:

Coordinates of the vertices of the given triangle are,

P(1, 2), Q(1, 6), R(-4, 2)

Since distance between the two points (x_1, y_1) and (x_2,y_2) is,

d = \sqrt{(y_2-y_1)^2+(x_2-x_1)^2}

Length of PQ = \sqrt{(1-1)^2+(2-6)^2}

PQ = 4

Length of PR = \sqrt{(1+4)^2+(2-2)^2}

PR = 5

Length of QR = \sqrt{(1+4)^2+(6-2)^2}

QR = \sqrt{25+16}

     = \sqrt{41}

     = 6.4 yards

Therefore, perimeter of the given triangle = PQ + QR + PR

                                                                       = 4 + 6.4 + 5

                                                                       = 15.4 yards

4 0
4 years ago
If y varies directly as x, find the constant of variation if y = 25 and x = 5.
Soloha48 [4]

Answer:

The constant of variation is 5

Step-by-step explanation:

We know direct variation is of the form

y = kx

We know y =25 and x=5

25 = k*5

Divide each side by 5

25/5 = 5k/5

5 = k

3 0
3 years ago
You invest $600 in an account that has a annual interest rate of 7%, compounded quarterly for four years. What is the equivalent
alexandr402 [8]

Answer:

  • equivalent rate: 7.186%
  • compounded 16 times

Step-by-step explanation:

The equivalent interest rate is the rate that would have to be applied so it would earn the same amount in 1 year. It is computed from ...

  requiv = (1 +r/n)^n -1

  requiv = (1 +0.07/4)^4 -1 ≈ 7.186%

__

"Compounded quarterly" means interest is compounded 4 times per year. In 4 years, it will be compounded 4·4 = 16 times.

__

The balance in the account after 4 years is ...

  $600·(1 +.07/4)^(4·4) ≈ $791.96

6 0
3 years ago
A bed & bath company intends to ship out 29,156 blue blankets, and three times as many white blankets. If each box contains
Reil [10]
The napkin explains for itself

5 0
4 years ago
What’s the value of x ?
elena55 [62]

Answer:

Step-by-step explanation:

the triangle with 9 as a side is a 45,45, 90 triangle. so there for x and 9 are congruent. Thus. x=9

5 0
4 years ago
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