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2 years ago

Is 4/7 irrational or is 4/7 rational

Mathematics

1 answer:

monitta2 years ago

5 0

Rational bc it is a fraction

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Brain ate 5 pieces of pie. The pie was cut into 6 equal pieces

LUCKY_DIMON [66]

Answer:

C. 5 sixths

Step-by-step explanation:

5/6 = 5 sixths

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3 years ago

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Jet001 [13]

Radius is 6.5 and the diameter is 13

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3 years ago

Find the constant of proportionality k. Then write an equation for the relationship between x and y

ExtremeBDS [4]

Question:

Find the constant of proportionality k. Then write an equation for the relationship between x and y

$\begin{array}{ccccc}x & {2} & {4} & {6} & {8} \ \\ y & {10} & {20} & {30} & {40} \ \ \end{array}$

Answer:

(a) $k = 5$

(b) $y = 5x$

Step-by-step explanation:

Given

$\begin{array}{ccccc}x & {2} & {4} & {6} & {8} \ \\ y & {10} & {20} & {30} & {40} \ \ \end{array}$

Solving (a): The constant of proportionality:

Pick any two corresponding x and y values

$(x_1,y_1) = (2,10)$

$(x_2,y_2) = (6,30)$

The constant of proportionality k is:

$k = \frac{y_2 - y_1}{x_2 - x_1}$

$k = \frac{30-10}{6-2}$

$k = \frac{20}{4}$

$k = 5$

Solving (b): The equation

In (a), we have:

$(x_1,y_1) = (2,10)$

k can also be expressed as:

$k = \frac{y- y_1}{x- x_1}$

Substitute values for x1, y1 and k

$5 = \frac{y- 10}{x- 2}$

Cross multiply:

$y - 10 = 5(x - 2)$

Open bracket

$y - 10 = 5x - 10$

Add 10 to both sides

$y - 10 +10= 5x - 10+10$

$y = 5x$

6 0

3 years ago

Show all your work to find the axis of symmetry of f(x) = −2(x − 4)^2 + 2.

Naya [18.7K]

Answer:

-2(x^2+15)

Step-by-step explanation:

f(x) = −2(x − 4)^2 + 2.

Expanding (x-4)^2

(x-4)(x+4)

x(x+4)-4(x+4)

x^2+4x-4x-16

x^2-16

F(x) = -2(x^2-16)+2

-2x^2-32+2

-2x^2-30

-2(x^2+15)

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3 years ago

Explain whether the following statement is true or false.

levacccp [35]

Answer:

This statement is false. The side of a triangle that is opposite an angle greater than or equal to 90° is always the largest side of the triangle.

3 0

2 years ago