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3 years ago

A consistent, dependent system of equations is a system with_________.

2 answers:

8 0

A consistent system is considered to be a dependent system if the equations have the same slope and the same y-intercepts. In other words, the lines coincide so the equations represent the same line. Every point on the line represents a coordinate pair that satisfies the system.

Hope this helps!

Please give brainliest!

Makovka662 [10]3 years ago

3 0

Answer: infinite numbers.

Step-by-step explanation:

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Which equation represents the line that is perpendicular to and passes through (-12,6)?.

Evgesh-ka [11]

The equation that represents the line that is perpendicular is

3y + 5x = -42

The standard equation of a line in point-slope form is expressed as:

$y-y_1=m(x-x_1)$

m is the slope of the lne

(x1, y1) is any point on the line.

Given the equation y = 3/2x + 1, the slope of the line is 3/5

The s<u>lope of the line perpendicular</u> is -5/3

Substitute the point (-12, 6) and the slope m = -5/3 into the equation above to have:

$y-6=-5/3(x-(-12))\\3(y-6)=-5(x+12)\\3y-18=-5x-60\\3y = -5x - 60 + 18\\3y + 5x = -42\\$

Hence the equation that represents the line that is perpendicular is

3y + 5x = -42

Learn more on equation of a line here:brainly.com/question/19417700

7 0

2 years ago

What is the volume of the rectangular prism?

Rufina [12.5K]

Answer:

$\large\boxed{Q1.\ 80\ cm^3}\\\boxed{Q2.\ 45\ in^3}\\\boxed{Q3.\ 48\ m^3}\\\boxed{Q4.\ A,\ D}\\\boxed{Q5.\ 96\ in^3}$

Step-by-step explanation:

$\text{The formula of a volume of a rectangular prism:}\\\\V=lwh\\\\l-length\\w-width\\h-height$

$\bold{Q1}\\\\l=10\ cm,\ w=4\ cm,\ h=2\ cm\\\\V=(10)(4)(2)=80\ cm^3\\\\\bold{Q2.}\\\\l=5\ in,\ w=3\ in,\ h=3\ in\\\\V=(5)(3)(3)=45\ in^3\\\\\bold{Q3.}\\\\l=4\ m,\ w=2\ m,\ h=6\ m\\\\V=(4)(2)(6)=48\ m^3\\\\\bold{Q4.}\\\\V=120\ ft^3\\\\\bold{A:(5)(4)(6)=120}\\B:\ (7)(7)(6)=294\\C:\ (3)(6)(4)=72\\\bold{D:\ (10)(3)(4)=120}\\\\\bold{Q5.}\\\\l=8\ in,\ w=4\ in,\ h=3\ in\\\\V=(8)(4)(3)=96\ in^3$

4 0

2 years ago

Thank u to da person who is willing to help me will get this Brainliest! :3

kumpel [21]

1) use distributive property
3x - 6 + 5x + 4
8x - 2

2) 4-2x - 14 - 3
-14 - 2x

7 0

2 years ago

Read 2 more answers

Solve for x.<br> x = [?]<br> 5x - 7/. 3x + 27

Tanzania [10]

Step-by-step explanation:

5x-7+3x+27=180

8x+20=180

8x=160

x=20°.

hope this helps you.

8 0

2 years ago

Read 2 more answers

A restaurant offers a combo special with 3 different sandwiches, 2 different salads, and 5 different drinks. From how many diffe

m_a_m_a [10]

Answer:

30 ways

Step-by-step explanation:

Given the following information:

3 different sandwiches
2 different salads
5 different drinks

Let assume that the combo contains: 1 sandwich, 1 salad, and 1 drink

Hence, we have:

The total possible ways of choosing sandwiches she can choose is: 3

The total possible ways of choosing salads she can choose is: 2

The total possible ways of choosing drinks she can choose is: 5

=> Total ways = 3*5*2 = 30 ways or there are 30 different combos Keisha can choose

Hope it will find you well.

5 0

3 years ago