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3 years ago

Which ordered pair is a solution of the equation? y = 7 x − 3 y=7x−3

Mathematics

1 answer:

eimsori [14]3 years ago

8 0

Answer:

(1,4)

Step-by-step explanation:

Which ordered pair is a solution of the equation? y = 7 x − 3

a. (1,4) b. (-1,-4) c. both d. neither

Solution

y=7x-3

Solve by trying each ordered pair

a. (1,4)

x=1, y=4

Substituting the value of x and y into the equation

y=7x-3

4=7(1)-3

4=7-3

4=4

This is a true statement

b. (-1,-4)

x=-1, y=-4

Substitute the value into the equation

y=7x-3

-4=7(-1)-3

-4= -7-3

-4= -11

This is not a true statement

This true statement is when x=1 and y=4

So, the ordered pair (1, 4) is the solution

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Rectangle STUV is shown on a coordinate plane. Rectangle STUV with vertices S at negative 7 comma 6, T at negative 2 comma 6, U

rusak2 [61]

The coordinate of the point T after the given transformations is; T''(-2, -4)

<h3>How to carry out Translation Transformations?</h3>

We are given the coordinates of the rectangle STUV as;

S(-7, 6)

T(-2, 6)

U(-2, 1)

V(-7, 1)

Now, we are told that all these coordinates are translated using the transformation rule; (x, y) → (x − 2, y − 4)

Thus, the new coordinates using this transformation rule are;

S'(-9, 2)

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Now, we are told that these new points are rotated 90° counterclockwise and as such the new coordinates formed will follow the pattern (x, y) → (-y, x).

Thus, our final coordinates are;

S''(-2, -9)

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Thus, the coordinate of the point T after the given transformations is; T''(-2, -4)

Read more about Translation Transformation at; brainly.com/question/4289712

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2 years ago

Read 2 more answers

A person who is 68in tall casts a shadow that is 54in long. At the same moment, a tree casts a shadow that is 18ft long. What is

34kurt

Answer:

<u>22.67 ft</u> is the height of tree.

Step-by-step explanation:

Given:

Height of a person is 68 in and casts a shadow that is 54 in long.

At the same point, a tree casts a shadow that is 18 ft long.

Now, to find the height of tree.

Let the height of tree be $x.$

If height of a person is 68 in he casts a shadow of 54 in.

So, 68 in is equivalent to 54 in.

Thus, $x$ is equivalent to 18 ft.

Now, to get the height of tree by using cross multiplication method:

$\frac{68}{54} =\frac{x}{18}$

<em>By cross multiplying we get:</em>

<em>Dividing both sides by 54 we get:</em>

$22.67=x$

$x=22.67\ ft.$

Therefore, the height of the tree is 22.67 ft.

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I hope this helps you

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