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3 years ago

30 POINTSSSSSS If y varies directly as x, and y = 42 as x = 6, find y for the x-value 3

Mathematics

2 answers:

Yanka [14]3 years ago

7 0

Answer:

y = 7x
y = 21

Step-by-step explanation:

Direct variation formula:

y = kx

Given:

x = 6, y = 42

Find k:

42 = 6k
k = 42/6
k = 7

The equation of line is:

y = 7x

Now, when x = 3, the value of y is:

y = 7*3 = 21

Alex787 [66]3 years ago

3 0

$\\ \sf\longmapsto x\propto y$

$\\ \sf\longmapsto x_1y_2=x_2y_1$

$\\ \sf\longmapsto 6y_2=42(3)$

$\\ \sf\longmapsto 6y_2=126$

$\\ \sf\longmapsto y_2=\dfrac{126}{6}$

$\\ \sf\longmapsto y_2=21$

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Find the distance between the two given points. (-6, -5) and (2, 0)

Ipatiy [6.2K]

Answer:

The answer is

<h2> $\sqrt{41} \: \: or \: \: \: 6.403 \: \: \: units$ </h2>

Step-by-step explanation:

The distance between two points can be found by using the formula

$d = \sqrt{( {x1 - x2})^{2} + ({y1 - y2})^{2} } \\$

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(-6, -5) and (2, 0)

The distance is

$d = \sqrt{ ({ - 6 - 2})^{2} + ({ - 5 - 0})^{2} } \\ = \sqrt{ ({ - 4})^{2} + ({ - 5})^{2} } \\ = \sqrt{16 + 25} \: \: \: \: \: \: \: \: \: \: \: \: \: \:$

We have the final answer as

$\sqrt{41} \: \: or \: \: \: 6.403 \: \: \: units$

Hope this helps you

4 0

3 years ago

Given the coordinate of one endpoint of an and its midpoint m find the coordinates of the other endpoint A(4,2) M(-2,10)

Leni [432]

The coordinates of the other endpoint are (-8, 18)

7 0

3 years ago

Which is the completely factored from of xy^3-x^3y

Oksanka [162]

Answer:

$xy(y+x)(y-x)$

Step-by-step explanation:

To factor the expression, remove the greatest common factor or GCF from each term. Both terms share in common xy. The expression becomes:

$xy^3-x^3y\\xy(y^2-x^2)$

What remains in the parenthesis is a different of perfect squares. Factor the difference of perfect squares into two binomials of the form (x+a)(x-a) where a is the square root of $(x^2-a^2)$ .

So the expression becomes:

$xy(y^2-x^2)\\xy(y+x)(y-x)$

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3 years ago

Which represents the reflection of f(x)=sqrt x over the y axis

zloy xaker [14]

reflection of $f(x)=\sqrt{x}$ over the y axis we get $g(x)=\sqrt{-x}$

Step-by-step explanation:

We need to find the reflection of f(x)=sqrt x over the y axis

So, reflection over y- axis

If the function f(x) is transformed over y-axis then the new function g(x) will be $g(x)= f(-x)$

So, finding reflection of $f(x)=\sqrt{x}$ over the y axis we get:

$g(x)=\sqrt{-x}$

So, reflection of $f(x)=\sqrt{x}$ over the y axis we get $g(x)=\sqrt{-x}$

Keywords: Transformations

Learn more about Transformations at:

#learnwithBrainly

6 0

3 years ago

Please answer correctly!

Zanzabum

Answer:

B. 1296 m^3

Step-by-step explanation:

To find the volume of a square pyramid, multiply the base by itself twice, then divide the height by 3. After getting both answers, multiply the answers.

In this case, the base is 18.

The height is 12.

First, we must multiply the base by itself twice.

18⋅18 = 324.

Next, divide the height by 3.

12/3 = 4.

Now that we have both answers, we multiply them.

324 ⋅ 4 = 1,296.

Therefore, 1,296 cm^3 is the volume of the square pyramid.

7 0

3 years ago