All categories

3 years ago

3y + 7 = x is this a direct proportion

Mathematics

1 answer:

Tju [1.3M]3 years ago

3 0

Answer:

Step-by-step explanation:

if the ratio (yx) of two variables (x and y) is equal to a constant (k=yx) .in this case y is said to be directly proportional to x with proportionality constant k

You might be interested in

I keep putting in the formula but I keep getting the answer wrong

Advocard [28]

Answer:

314 in² (nearest whole number)

Step-by-step explanation:

Radius of a regular polygon: The distance from the center of the polygon to any vertex. The radius of a hexagon is equal to the length of one side.

Therefore, from inspection of the given diagram:

radius = 11 in ⇒ side length = 11 in

To find the area of a regular polygon, we first need to calculate the apothem. The apothem is the line drawn from the center of the polygon to the midpoint of one of its sides.

$\textsf{Length of apothem (a)}=\dfrac{s}{2 \tan\left(\frac{180^{\circ}}{n}\right)}$

where:

s = length of one side
n = number of sides

Given:

s = 11 in
n = 6

Substitute the given values into the formula and solve for a:

$\implies \textsf{a}=\dfrac{11}{2 \tan\left(\frac{180^{\circ}}{6}\right)}=\dfrac{11\sqrt{3}}{2}$

Area of a Regular Polygon

$\textsf{A}=\dfrac{n\:s\:a}{2}$

where:

n = number of sides
s = length of one side
a = apothem

Given:

n = 6
s = 11

$\textsf{a}=\dfrac{11\sqrt{3}}{2}$

Substitute the given values into the formula and solve for A:

$\implies \sf A=\dfrac{6 \cdot 11 \cdot \dfrac{11\sqrt{3}}{2}}{2}$

$\implies \sf A=314.3672216...$

$\implies \sf A=314\:\:in^2\:\:(nearest\:whole\:number)$

8 0

2 years ago

All-purpose carpeting costs $27.50 per square meter. What is the cost of carpeting a room from

Brums [2.3K]

Step-by-step explanation:

I'm not sure if I got the correct answer since English is not my first language

4 0

2 years ago

Which of the following is not an itemized deduction?

Verdich [7]

Answer:

Depends on which answer they give you to answer. If you have the one I have which is *IRA contribution* then go for it!

6 0

3 years ago

Read 2 more answers

Please simplify this please it’s due really soon!

iren2701 [21]

Step-by-step explanation:

$\frac{ {13}^{6} \div {13}^{8} \times {13}^{ - 4} }{ {13}^{ - 2} }$

You need to remember the properties of exponents: multiplication adds the exponents, division subtracts the exponents.

If you multiply two powers with the same base, the result will be the base to the sum of the powers.

If you divide two powers with the same base, the result will be the base to the difference of the powers.

In your case you will this:

${13}^{6 - 8 + ( - 4) - ( - 2)}$

That is:

${13}^{ - 4}$

Or:

$\frac{1}{ {13}^{4} }$

7 0

4 years ago

Find the polynomial of lowest degree with only real coefficients and having the given zeros. -7i and square root of 2

mario62 [17]

Answer:

x³ - (√2)x² + 49x - 49√2

Step-by-step explanation:

If one root is -7i, another root must be 7i. You can't just have one root with i. The other roos is √2, so there are 3 roots.

x = -7i is one root,

(x + 7i) = 0 is the factor

x = 7i is one root

(x - 7i) = 0 is the factor

x = √2 is one root

(x - √2) = 0 is the factor

So the factors are...

(x + 7i)(x - 7i)(x - √2) = 0

Multiply these out to find the polynomial...

(x + 7i)(x - 7i) = x² + 7i - 7i - 49i²

Which simplifies to

x² - 49i² since i² = -1 , we have

x² - 49(-1)

x² + 49

Now we have...

(x² + 49)(x - √2) = 0

Now foil this out...

x²(x) - x²(-√2) + 49(x) + 49(-√2) = 0

x³ + (√2)x² + 49x - 49√2

7 0

3 years ago