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schepotkina [342]
3 years ago
13

Choose the equivalent system of linear equations that will produce the same solution as the one given below:

Mathematics
1 answer:
skelet666 [1.2K]3 years ago
3 0
D is the answer as the both have solution x=-2 y=3
14x=-28       12(-2)-3y=-33
x=-2              -3y=-9
                       y=3
from the given equation
4x-y=11 eq 1
2x+3y=5 eq 2
x=y-11/4 from equation 1
subsitute this value of x in equation 2
2(y-11/4)+3y=5
y-11+6y=10
7y-11=10
y=3
subsitude this value of y in equation (x=y-11/4)
so x= -2 
thus same solution so ANSWER IS D
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lyudmila [28]

Answer:

C

Step-by-step explanation:

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6 0
3 years ago
Which option below demonstrates the correct interval notation for a
Vladimir [108]

The correct interval notation for the continuous set of all numbers between 5 and 6, including 5, but not including 6 is [5, 6) option (C) is correct.

<h3>What is interval notation?</h3>

It is defined as the representation of a set of values that satisfy a relation or a function. It can be represented as open brackets and close bracket the close the brackets means the value is at the close bracket also included, and open bracket means the value at the open bracket does not include.

We have:

Continuous set of all numbers between 5 and 6, including 5, but not including 6.

From the above statement we can represent the number in the interval notation:

The numbers are between 5 and 6.

(5, 6)

As it is mentioned that 5 is included and 6 is not included, then:

[5, 6)

Thus, the correct interval notation for the continuous set of all numbers between 5 and 6, including 5, but not including 6 is [5, 6) option (C) is correct.

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3 0
2 years ago
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seropon [69]
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6 0
2 years ago
In Rhombus ABCD if BD is 24 ft and AD is 15 ft, then what is the length of AC?
Evgen [1.6K]

Answer:

AC = 24ft

Step by Step Explanation.

Given.

Rhombus.

BD = 24ft

AD = 15ft

Required

Length of AC

A rhombus has 4 equal sides; hence, the given shape will be regarded as a parallelogram and not rhombus (see attachment for diagram)

The opposite sides of a parallelogram are always of equal length

From the attached diagram (not drawn to scale), side AC opposites side BD

Given that BD = 24ft, then

AC = BD = 24ft.

Hence, AC = 24ft

4 0
3 years ago
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Alex_Xolod [135]

The volume of the rectangular box is 12 cubic inches

<h3>Volume of a box</h3>

The formula for measuring the volume of a rectangular box is expressed as:

V = lwh

l is the length

w is the width

h is the height

Given the following

l = 2in

w = 3in

h = 2in

Substitute

V = 2* 3 * 2

V = 12 cubic inches

Hence the volume of the rectangular box is 12 cubic inches

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