A set of equations is given below: Equation C: y = 5x + 10 Equation D: y = 5x + 2 Which of the following best describes the solution to the given set of equations? One solution No solution Two solutions Infinitely many solutions

Answers

Answer 1

Answer:

The system of equations has no solution.

What is equation?

An equation is arrangement of variables and coefficient which provides to understand given statement in form of numbers .That means a mathematical statement consisting of an equal symbol between two algebraic expressions that have the same value.

How to solve?

Given equation y=5x+10 and other equation y=5x+2

to check if two have any solution possible we will substitute value and check if RHS=LHS or not

∴y=5x+10=5x+2

=5x+10=5x+2

⇒0= -8

hence RHS≠ LHS hence no solution is possible

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Answer 2

Answer: The system of equations
$\left \{ {{y = 5x + 10 } \atop { y = 5x + 2}} \right.$

you can easily see that they are contrary to the equation . We not solve them . However prove it.

by substitution .
We substitute the value of y from the first equation to the second equation

y = 5x + 10
y = 5x + 2

y = 5x + 10
5x + 10 = 5x + 2

y = 5x + 10
5x - 5x = 2 - 10

y = 5x + 10
0 ≠ -8

or by opposing coefficients
y = 5x + 10 [* (-1)
y = 5x + 2

-y = -5x - 10
y = 5x + 2
----------------- sum
0 ≠ -8

Answer. No solution

Answer:

You can find the CORRESPONDING parts of two congruent triangles by aligning them perfectly on top of each other.

Step-by-step explanation:

We know that when two congruent triangles are placed over each other then the congruent sides corresponding to both the triangles also align on each other.

Since, when two triangles are congruent then all corresponding angles and sides of the two triangles are also congruent.

Hence, the answer is:

Option: C

C. corresponding

You can find the C. corresponding parts of two congruent triangles by aligning them perfectly on top of each other.

How is this true for triangles ?

Corresponding parts of two congruenttriangles are the parts that have the same relative position. For example, the corresponding parts of triangle ABC and triangle DEF are AB and DE , ∠A and ∠D, and ∠B and ∠E.

If two triangles are congruent, then their corresponding parts are congruent. This means that if we align two congruent triangles perfectly on top of each other, then the corresponding parts will coincide.

In conclusion, option C is correct.

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A theater needs to place seats in rows. The function, f(r) as shown below can be used to determine the number of seats in each row, where r is the row number.f(1) = 8
f(r) = f(r – 1) + 3
Use the function to complete the table indicating the number of seats in each row for the first four rows of the theater.

Answers

The row counts start at eight and count up by three:

$f(1)=8$
$f(2)=f(2-1)+3=f(1)+3=8+3=11$
$f(3)=f(3-1)+3=f(2)+3=11+3=14$
$f(4)=f(4-1)+3=f(3)+3=14+3=17$
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and so on.

Pressure head of 120 inches of water produces _______ psi of pressure

Answers

4.335275019289474 this is water column by the way.

A regular octagon STUVWXYZ is rotated 135 degrees clockwise around its center. Vertex X is carried onto which vertex After the rotation?

Answers

it will be carried onto S

good luck

Final answer:

When a regular octagon is rotated 135 degrees clockwise, vertex X will be carried to the position of vertex S.

Explanation:

When a regular octagon is rotated 135 degrees clockwise around its center, each vertex is carried onto the vertex that is three vertices away in a clockwise direction. The question is asking which vertex the point X will be rotated to after a 135-degree clockwise rotation. Since the octagon is regular, it has 8 equal sections of 45-degrees each. When rotating 135-degrees, we rotate 3 of these 45-degree sections. Therefore, moving clockwise from vertex X, the vertex that will take the position of X after the rotation will be UVWXYZ, i.e., vertex S.