How do I turn a equation to factored form

*See attachment for the given diagram.

Answer:

∆ABC and ∆FDE are congruent by the SSS criterion.

The value of x is 11 and the value of y is 8

Step-by-step explanation:

Based on the Side-Side-Side (SSS) Congruence Theorem, ∆ABC and ∆FDE are congruent to each other. The 3 sides of ∆ABC are congruent to the 3 given sides of ∆FDE.

Thus:

AB ≅ DF

BC ≅ DE

CA ≅ FE

Find x:

Since BC ≅ DE, therefore measure of BC = measure of DE.

BC = x + 3

DE = 14

Thus,

x + 3 = 14

Subtract 3 from each side

x = 14 - 3

x = 11

Find y:

Since AB ≅ DF, therefore the measure of both sides are equal.

AB = 3

DF = x - y

Thus,

x - y = 3

Substitute x = 11 into the equation

11 - y = 3

Subtract 11 from both sides

-y = 3 - 11

-y = -8

Divide both sides by -1

y = -8/-1

y = 8

Answer:

Below

Step-by-step explanation:

got it right

Answer: 0.08

Dont belive the dummy that said 0.30

Antonio's dad paid $ 0.08 per gallon more for the last week as compared to this week.

Given information:

Antonio's dad bought gas for their family's ATV two weeks in a row.

Last week, he bought 12 gallons for $35.40.

This week, he bought 9 gallons for $25.83.

So, the cost of one gallon for last week is,

[tex]\dfrac{35.40}{12}=2.95\$\rm\;per\;gallon[/tex]

The cost of one gallon for this week is,

[tex]\dfrac{25.83}{9}=2.87\$\rm\;per\;gallon[/tex]

So, the extra charge paid by his dad for the last week for one gallon will be,

[tex]2.95-2.87=0.08\$\;\rm per\;gallon[/tex]

Therefore, Antonio's dad paid $ 0.08 per gallon more for the last week as compared to this week.

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The inequality as per the given statement will be equal to 3 < x < 7.

Inequalities are mathematical expressions where neither side is equal. In inequality, as opposed to equations, we compare the two values. Less than (or less than and equal to), larger than (or greater or equal to), or not similar to signs are used in place of the equal sign in between.

As per the information in the question,

Let the number is x.

x is less than 7.

x < 7 and,

x is greater than 3,

So, x > 3

So, it can be written in combined form as:

3 < x < 7

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Answer:

i got b and h{i hope this helps}

Step-by-step explanation:

Answer:

              [tex]\bold{a_1=-9\,,\quad a_2=-7\,,\quad a_2=-5\,,\quad a_4=-3}[/tex]

Step-by-step explanation:

[tex]a_n=2n-11\\\\a_1=2(1)-11=2-11=-9\\\\a_2=2(2)-11=4-11=-7\\\\a_3=2(3)-11=6-11=-5\\\\a_4=2(4)-11=8-11=-3[/tex]

Answer:

36 is the answer

Answer:

12^16= 184884258895036400

12^4= 20736

Answer:

y = x + 3

y = 5x + 13

Answer:

The statement is;

A number is a prime number if and only if it has 1 and itself as factors

The truth value of this statement is true T

Step-by-step explanation:

The biconditional statement will use the statements if and only if.

Thus, we have;

A number is a prime number if and only if it has only 1 and itself as factors

The truth value of the biconditional statement is T ( true)

Answer:

En cada recipiente grande coloco 1.8 kilos de frijoles y en el recipiente pequeño coloco 0.9 kilos.

Step-by-step explanation:

dividio los frijoles en 3 recipientes

volumen total de los 4 recipientes = 2x + 2x + x = 5x

esto se debe a que los 2 mas grandes tenian el mismo tamaño (2x), mientras que el pequeño tenia solo la mitad (x)

4.5 kilos de frijoles / 5 x

x = 0.9 kilos de frijoles

recipiente grande = 2 · 0.9 = 1.8 kilos

Answer:

b

Step-by-step explanation:

hope this helps

Answer:

64 DVDs

Step-by-step explanation:

25% = 16 DVDs

25%x 4 = 16x 4

100% = 64 DVDs

If action movies make up 25% of Sara’s DVD collection. If she has 16 action DVDs, how many DVDs does Sara have in her collection will be 64

First step is to convert the decimal to fraction

16÷24÷100

Second step is to reduce the fraction

16÷1÷4

Third step is to divide the fraction by multiplying its reciprocal in order to determine how many DVDs does Sara have in her collection

16×4

=64

Inconclusion if action movies make up 25% of Sara’s DVD collection. If she has 16 action DVDs, how many DVDs does Sara have in her collection will be 64

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Answer:

the first rectangle im pretty sure is 32

the second one is 12.8

Step-by-step explanation:

half of 8 is 4 and half of 25.6 is 12.8

Answer:

...infinity cubic inches?

Step-by-step explanation:

Answer:

whats the question here

Step-by-step explanation:650 rent

Answer:

D. 104

Step-by-step explanation:

After taking the square root of all possible answers 104 gives you 10.19 in decimal form which is the closest and most accurate number to 10.2 where the point is closely located to.

Answer:

acc. to me it should be

[tex] \sqrt{50} [/tex]

Answer:

x=-3  y=-5

Step-by-step explanation:

big brain

Step-by-step explanation:

Put in sin, tan or cos and put the number next to it and press equal to

The points are (-5,7) and (10,1). The slope of the points is -2/5.

Any two different points on a line can be used to calculate the slope of any line. The slope of a line formula is used to determine the ratio of "vertical change" to "horizontal change" between two different points on a line.

Given that,

The points are (-5,7) and (10,1).

We have to find the slope of the points.

The relationship between how a line's y coordinate changes and how its x coordinate changes determines a line's slope. y and x are the net changes in the y and x coordinates, respectively. As a result, the change in y coordinate with regard to the change in x coordinate can be written as,

Slope of the points=[tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]

Here,

x₁=-5,

y₁=7

x₂=10

y₂=1

Slope of the points [tex]= \frac{1 - 7}{10 + 5}[/tex]

Slope of the points =(-6)/(15)

Slope of the points = -2/5

Therefore, the slope of the points is -2/5.

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Answer:

The perimeter of a quadrilateral will be equal to the addition of the length of each side of the quadrilateral.

Here we only have the vertices of the quadrilateral, and to calculate the length of the sides, first we need to plot the points in a graph and see which pairs make the quadrilateral.

You can see the image below, where i did a rough sketch of the problem.

in the image, you can see that the sides of this rectangle are the ones formed by the pairs:

(-4,3) and (-2, 8)

(-2, 8) and (2, 5)

(2,5 ) and (1, -7)

(1, - 7) and (-4, 3)

Now let's calculate the length of each side.

Remember that when we have two points (a, b) and (c, d) the distance is:

D = √( (a - c)^2 + (b - d)^2)

Now we need to calculate four distances:

(-4,3) and (-2, 8)

D1 = √( (-4  + 2)^2 + (3 - 8)^2) = 5.39

(-2, 8) and (2, 5)

D2 = √( (-2  - 2)^2 + (8 - 5)^2) = 5

(2,5 ) and (1, -7)

D3 = √( (2  - 1)^2 + (5 + 7)^2) = 12.04

(1, - 7) and (-4, 3)

D4 = √( (1  +4)^2 + (-7 -3)^2) = 11.18

Now we add those four distances to get the perimeter:

P =  5.39 + 5 + 12.04 +  11.18 = 33.61

And we want to round it to the next whole number, because the first digit after the decimal point is larger than 5, we round up, and get:

p = 37

Answer:

243

Step-by-step explanation:

(5-2) = 3

3 to the power of 5 is 3x3x3x3x3

3x3x3x3x3 = 243

Answer:

(5-2)^5= (3)^5 = 3*3*3*3*3 = 9*9*3 = 243

Step-by-step explanation:

Answer:

No

Step-by-step explanation:

x=5 produces y=3 and y=5 so the relation is not a function.

Yes that is function by looking that this

y

Answer:

117 yd/1 x 3 ft/1 yd = 351 ft

Step-by-step explanation:

[tex]\frac{117}{1} * \frac{3}{1} = 351 ft[/tex]

A runner sprinted for 351 feet.

Given that, a runner sprinted for 117 yards (yd).

To convert a yard measurement to a foot measurement, multiply the length by the conversion ratio. The length in feet is equal to the yards multiplied by 3.

Here, multiply the ratio 117/1 by 3/1.

That is, 117 × 3 =351 ft

Therefore, a runner sprinted for 351 feet.

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Answer:

x+5

Step-by-step explanation:

Answer:

which expression represents the measure of segment RS? x + 5

Step-by-step explanation:

on engenuity

Answer:

11/3 , 17 , 20 hope this helps