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wel
2 years ago
12

If x varies directly as y write a formula connecting x and y y.use k as a constant of variation.

Mathematics
1 answer:
Sophie [7]2 years ago
6 0

Answer:

x=KY

as x is directly proportional to y

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What is the factored form of the expression?<br><br> d^2 = 36d + 324
Veseljchak [2.6K]

Answer:

(x-43.45)(x+7.45)=0

Step-by-step explanation:

We have the quadratic equation d^{2}=36d+324  i.e. d^{2}-36d-324=0

As, the roots of the quadratic equation ax^{2}+bx+c=0 are given by x=\frac{-b\pm \sqrt{b^{2}-4ac}}{2a}.

So, from the given equation, we have,

a = 1, b = -36 , c = -324.

Substituting the values in x=\frac{-b\pm \sqrt{b^{2}-4ac}}{2a}, we get,

x=\frac{36\pm \sqrt{(-36)^{2}-4\times 1\times (-324)}}{2\times 1}

i.e. x=\frac{36\pm \sqrt{1296+1296}}{2}

i.e. x=\frac{36\pm \sqrt{2592}}{2}

i.e. x=\frac{36\pm 50.9}{2}

i.e. x=\frac{36+50.9}{2}  and x=\frac{36-50.9}{2}

i.e. x=\frac{86.9}{2}  and x=\frac{-14.9}{2}

i.e. x = 43.45 and x = -7.45

Thus, the roots of the equation are 43.45 and -7.45.

Hence, the factored form of the given expression will be (x-43.45)(x+7.45)=0

3 0
3 years ago
Micaela is 2 years older than Sam. In 4 years, the sum of their ages will be 40. How old is Micaela now? Describe and fix any er
Verdich [7]

Answer:

Micaela is 17

Step-by-step explanation:

s+2=m

(s+2+4)+(s+4)=40

(s+6)+(s+4)=40

2s+10=40

40-10=30

2s=30

30/2= 15

s=15

{s+2=m}

15+2=m

m=17

5 0
3 years ago
Read 2 more answers
Help with #5 please
slega [8]

729. multiple 9 times 9 then 81 times 9 and you get D

7 0
3 years ago
A fountain is made up of two semicircles and a quarter circle. Find the perimeter of the fountain. Round answers to nearest tent
AlexFokin [52]

Answer:

39.275

Step-by-step explanation:

the diameter of the semicircle is 10

A semicircle is half a circle, and a quarter circle is 1/4 of a circle.

Perimeter of a semicircle is ¶d/2

= 3.142 x 10/2 = 3.142 x 5 = 15.71

For 2 semicircles that will be 15.71 x 2 = 31.42

For the quarter circle, perimeter is ¶d/4 = 3.142 x 10/4 = 3.142 x 2.5 = 7.855

Total perimeter = 31.42 + 7.855 = 39.275

5 0
3 years ago
Giving brainliest to best answer
Sergio [31]

Answer:

One unit to the right.

Step-by-step explanation:

I entered both equations into desmos and rootx - 1 is one unit to the right.

Desmos is a great tool for graphing

6 0
3 years ago
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