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3 years ago

Does the equation below represent a

Mathematics

2 answers:

Nataliya [291]3 years ago

7 0

Answer:

yes / 1/6

Step-by-step explanation:

AnnZ [28]3 years ago

3 0

Step-by-step explanation:

The given equation is :

x = 6y ...(1)

Here,

x and y are variables and 6 is a constant number

It means,

x and y are related directly to each other i.e.

x ∝ y

x = ky .....(2)

Comparing equation (1) and (2)

k = 6

Hence, yes they are in direct proportion and the value of constant of proportionality is 6.

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what is the length of tw¯¯¯¯¯¯ ? segment t w with point u between t and w. segment t u is marked congruent to segment u w. segme

Gennadij [26K]

T________U________W
16
TU=UW
16=16
TW=TU+UW
TW=16+16
TW=32

6 0

2 years ago

Read 2 more answers

Derive the equation of the parabola with a focus at (_5, 5) and a directrix of y = -1.

mars1129 [50]

Answer: Option D is correct.

Step-by-step explanation:

Since we have given that

focus = (-5,5)

and a directrix y= -1

Since, equation of parabola in this case will be

$(x-h)^2=4.a(y-k)$

Now, here

$y=k-a=-1\\\\\text { focus =(h,k+a)}\\\\\text{So,} k+a=5\\\\\text{ by solving these two equation , we get }\\\\a=3\text{ and } k=2$

So equation will be

$(x+5)^2=4\times 3(y-2)\\\\(x+5)^2=12(y-3)\\\\y=\frac{1}{12}(x+5)^2+2$

So, option D is correct .

4 0

2 years ago

Read 2 more answers

The area of a rectangle is 44m. The height is 11/3m. What is the length?

iogann1982 [59]

Width of the rectangle is 12m

Explanation:

Area of rectangle = 44m

height = $\frac{11}{3}m$

area of rectangle = length X breadth

$44 = \frac{11}{3} X b\\b = 12m$

Therefore, width of the rectangle is 12m

4 0

2 years ago

X - 5 = 20 x= I need to know what the x equals

Monica [59]

Answer:

x = 25

Step-by-step explanation:

Given

x - 5 = 20 ( isolate x by adding 5 to both sides )

x = 25

5 0

2 years ago

Read 2 more answers

Evaluate the expression 3x² + 2x - 4 for x =-2.

marin [14]

Answer:

Step-by-step explanation:

3x² + 2x - 4

3(-2)² + 2(-2) - 4

3(4) - 4 - 4

12 - 4 - 4

12 - 8

= 4

4 0

2 years ago