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Usimov [2.4K]
3 years ago
8

Solve the system using elimination. 4x-7y =6 x-7y = 9 The solution is ??

Mathematics
1 answer:
Zigmanuir [339]3 years ago
4 0

Answer:

{x,y} = {-1,-10/7}

Step-by-step explanation:

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Find the slope and the y-intercept for y=-5x
aleksley [76]
Slope= -5
Y-intercept= 0
4 0
3 years ago
Add 212+(−13) . Write your answer as a mixed number in simplest form.
nordsb [41]

The value of the given expression after addition is 199 and this can not written as a mixed number in the simplest form.

According to the question,

We have the following expression:

212+(-13)

Now, we know that the multiplication of one negative and one positive integers is always positive.

So, we have the following expression:

212-13

199

Now, this number is whole number and it can not be written as a mixed number. It could only have been written as a mixed number when the result would have been in a fraction.

Hence, the value of the given expression after addition is 199 and this can not written as a mixed number in the simplest form.

To know more about addition here

brainly.com/question/19867930

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7 0
8 months ago
For the linear model, y = -67.9x + 679 , the distance, in miles y, is a function of time, x, in hours. Use the model to calculat
Ksenya-84 [330]

Answer:

339.5

Step-by-step explanation:

-67.9x+679= y

-67.9*5+679=

-339.5+679= 339.5

4 0
2 years ago
When you write a two column proof, the first thing in the reason column is always.....
Artemon [7]

The first thing in the reason column of a two colum proof is always GIVEN as it always coincide with an established fact which has been stated in the question to be worked on.

Two colum proofs involves using a tabulated format in establishing a conjecture.

Statements or facts are written on one side and the reason why the statement is true is stated in the reason column which is on the opposite side.

Starting a two column proof usually involve stating the the assumptions which are given about the shape or geometry.

Since each statement made requires a reason, then the reason behind the first statement which is based on what is stated in the question is written as GIVEN.

THEREFORE, after the statement given in the question has been established, then other reasons such as distributive, Commutative and other reasons may be used to proof one's solution statement.

Learn more :brainly.com/question/22172471

6 0
2 years ago
Help Please? GEOMETRY Use the word bank to help you with possible answers (there are extra options that are not to be used)
ipn [44]
Short Answers:

Answer for part A: Definition of perpendicular
Answer for part B: Right Angle Congruence Theorem
Answer for part C: Reflexive Property of Congruence
Answer for part D: Definition of Midpoint
Answer for part E: \triangle SXR \cong \triangle TXR
Answer for part F: CPCTC

-------------------------------------------------------------

Explanations:

Part A:

We are given that \overline{RX} \perp \overline{ST} which means, in english, "line segment RX is perpendicular to line segment ST"

By the very definition of perpendicular, this means that the two line segments form a right angle. This is visually shown as the red square angle marker for angle RXT. Angle RXS is also a right angle as well.

---------------------
Part B:

The Right Angle Congruence Theorem (aka Right Angle Theorem) is the idea that if we have two right angles, then we know that they are both 90 degrees so they must be congruent to one another. 

---------------------
Part C:

Any line segment is congruent to itself. This is because any line segment will have the same length as itself. It seems silly to even mention something so trivial but it helps establish what we need for the proof. 

---------------------
Part D:

We are given "X is the midpoint of segment ST" so by definition, X is in the very exact middle of ST. Midpoints cut segments exactly in half. SX is one half while TX is the other half. The two halves are congruent which is why SX = TX

---------------------
Part E:

Writing \triangle SXR \cong \triangle TXR means "triangle SXR is congruent to triangle TXR". These two triangles are the smaller triangles that form when you draw in segment RX

Side Note: SAS stands for "side angle side". The angle must be between the two sides. The pairing RX and RX forms one of the 'S' letters (see part C), while the pairing SX and TX forms the other 'S' (see part D). The angles between the sides are RXS and RXT (see part B). 

---------------------
Part F:

CPCTC stands for "Corresponding Parts of Congruent Triangles are Congruent"

It means that if we have two congruent triangles, then the corresponding parts are congruent. Back in part E, we proved the triangles congruent. For this part, we look at the pieces RS and RT (which correspond to one another; they are the hypotenuse of each triangle). They are proven congruent by CPCTC

If CPCTC is an odd concept to think about, then try thinking about something like this: you have two houses which are completely identical in every way. We can say that those two houses are congruent. If the houses are identical, then surely every piece that makes up the house is identical to its corresponding piece to the other house. For example, the front door to each house is both the same size, shape, color, made of the same material, designed in the same pattern, etc. So the two doors are congruent as well.
8 0
3 years ago
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