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3 years ago

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If point F is the midpoint of segment DE, which statement is true?

1 answer:

FinnZ [79.3K]3 years ago

5 0

Segment DF is 1/2 the length of Segment DE. Since the entire segment is DE and it's midpoint is at F, the segment would be broken into 2 equal segments in one. Segment DF and FE. Segment DF is congruent to Segment FE.

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Step-by-step explanation:

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2 years ago

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blsea [12.9K]

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2 years ago

Which expression could be substituted for y in the second equation to find the value of x?

EastWind [94]

value of x is $x=-\frac{29}{4}$ and value of y is $y=-\frac{9}{2}$

Step-by-step explanation:

We need to find Which expression could be substituted for y in the second equation to find the value of x

The given equations are:

$2x-y=-10\,\,\,(1)2x - 3y= -1\,\,\,\,(2)$

For putting value of y in second equation, we will find from equation 1

From equation 1:

$2x-y=-10\\-y=-10-2x\\y=10+2x$

Putting value of y i.e y=10+2x in equation (2) to find value of x

$2x-3y=-1\\2x-3(10+2x)=-1\\2x-30-6x=-1\\-4x=-1+30\\-4x=29\\x=\frac{29}{-4}\\x=-\frac{29}{4}$

So, now finding value of y by putting value of x= -29/4 in eq(1)

$2x-y=-10\\2(-\frac{29}{4})-y=-10\\-\frac{29}{2}-y=-10\\-y=-10+\frac{29}{2}\\ -y=\frac{-20+29}{2}\\ -y=\frac{9}{2}\\ y=-\frac{9}{2}$

So, value of x is $x=-\frac{29}{4}$ and value of y is $y=-\frac{9}{2}$

Keywords: System of equations

Learn more about System of equations at:

#learnwithBrainly

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3 years ago

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masha68 [24]

Answer:

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Step-by-step explanation:

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3 years ago

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the ordered pairs (0,-1),(1,0),(2,3),(3,8),(4,15) represent a function what is a rule that represents this function? Please help

yarga [219]

Answer:

The function rule is

$f: x\to \: {x}^{2} - 1$

Step-by-step explanation:

The given ordered pairs are (0,-1), (1,0),(2,3),(3,8),(4,15)

We can observe the following pattern.

$f(0) = {0}^{2} - 1 = - 1$

$f(1) = {1}^{2} - 1 = 0$

$f(2) = {2}^{2} - 1 = 3$

$f(3) = {3}^{2} - 1 = 8$

$f(4) = {4}^{2} - 1 = 15$

When we generalize this pattern, we obtain:

$f(x) = {x}^{2} - 1$

This is the function equation.

The function rule is

$f: x\to \: {x}^{2} - 1$

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2 years ago