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Answer:

1) b) x2−25

2) b) n2 − 1

3) a) p2 − 2p +1

4) c) x2 − 8x +16

5) c) n2 + 6 n + 9

6) b) v2 + 4v +4

Step-by-step explanation:

1. (x + 5)(x − 5) = x^2 - 25

2. (n − 1)(n + 1) = n^2 - 1

3) (p − 1)^2 = p^2 - 2p + 1

4. (x − 4)^2 = x^2 -8x + 16

5. (n + 3)^2 = n^2 + 6n + 9

6. (2 + v)^2 = v^2 + 4v + 4

Answer and Step-by-step explanation:

4. We are finding line AC.

AB is congruent to BC because the angles at the top are both 30 because of angle bisector. BD is congruent to BD, so triangles are congruent by SAS theorem. That means AB is congruent to BC by CPCTC (Congruent Parts of Congruent Triangles are Congruent).

With that being said, we can equal the expressions together.

-x + 25 = 3(2x - 8)

-x + 25 = 6x - 24

49 = 7x

7 = x

-(7) + 25 = 18

3(2(7) - 8) = 3(14 - 8) = 3(6) = 18

18 + 18 = 36

AC = 36

6. We are finding measure of angle UTW.

We have another angle bisector, so that side is equal to itself (TV ≅ TV)

We have UV and VW having the same length, so those are congruent.

Since this is a right triangle, these triangles are congruent by the HL (Hypotenuse-Leg) Theorem.

So, now we can equal the angles together.

2x + 3 = 5x - 24

27 = 3x

9 = x

2(9) + 3 = 18 + 3 = 21

5(9) - 24 = 45 - 24 = 21

21 + 21 = 42

m∠UTW = 42

#teamtrees #PAW (Plant And Water)

(Sorry for the late response, this took some time).

Answer:

h(x)= -4x-7, when x=3

Answer= h(3)= -19

Step-by-step explanation:

Substitute 3 for x in the function and simplify:

h(x) = -4x – 7

h(3) = -4(3) – 7

= -12 – 7

= -19

The value of the function h(x) = -4x - 7 at x = 3 will be -19.

The function is defined as a relation between a set of inputs having one output each.

We have,

h(x) = -4x - 7,

So,

When

x = 3

So,

Substituting x = 3 in the given function,

i.e.

h(x) = -4x - 7

We get,

h(3) = -4 * 3 - 7

h(3) = -12 - 7

So,

h(3) = -19

So, the given function at x = 3 is -19.

Hence, we can say that the value of the function h(x) = -4x - 7 at x = 3 will be -19.

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Answer:

(10,6)

Step-by-step explanation:

1. Rearrange

x-y=4

y=x-4

y-8=-2

y=6

2. Graph

Answer:

44?

Step-by-step explanation:

I realy just have a feeling

1

Step-by-step explanation:

i am very beautiful yes i know it

Answer:

u =  21

Step-by-step explanation:

WX = XY because (VW = VY)

WX = u + 42

XY = 3u

u + 42 = 3u

42 = 3u - u

42 = 2u

u = 42 / 2

u = 21

Answer:

u = 21

Step-by-step explanation:

Consider triangle XWV and triange XYV

XV = XV (common)

Angle XVW = Angle XVY (given)

VW = VY (given)

∴triangle XWV ≅ triange XYV (SAS)

∴ XW = XY (corr. sides, ≅ triangles)

u + 42 = 3u

u = 21

Answer:

-40

Step-by-step explanation:

the equation will be 5x + 350 = 150

5x = -200

x = $-40/week

Answer:

I would say D

Step-by-step explanation:

Good Luck!

Let's simplify step-by-step.

4(x+3)+3(5−x)

Distribute:

=(4)(x)+(4)(3)+(3)(5)+(3)(−x)

=4x+12+15+−3x

Combine Like Terms:

=4x+12+15+−3x

=(4x+−3x)+(12+15)

=x+27

Answer: x+27

Answer:

1) 18

2) 144

3) 51

4) 99.6

Step-by-step explanation:

1) Multiply 1.5 by 12, as 1.5 divided by 1 is 1

2) Multiply 12 by 12, as 12 divided by 1 is 1

3) Multiply 4.25 by 12, as 4.25 divided by 1 is 1

4) Multiply 8.3 by 12, as 8.3 divided by 1 is 1

Answer:

12.2 < 39

Step-by-step explanation:

3.2 +9 < 39

Add 3.9 and 9

It will give you 12.2 < 39

Hope this helps:) Have a great day!

Answer:

D

Step-by-step explanation:

the median is 85, the mean is 85, the mode is 80.

it can't be A, B, or C. so it must be D.

Answer:

volume = pi r^2 h

or, 190 = pi (3.2)^2 h

or, 190/10.24 = pi h

or, 18.56 = 22/7 h

or, 18.56×7/22 = h

thus , h = 5.9037

Answer:

$36

Step-by-step explanation:

I = Prt

P = 200

r = 0.09

t = 24/12 = 2

I = 200 x 0.09 x 2

I = 36

Answer:

14.45

Step-by-step explanation:

Since the solution in this case is C=π(d)/Circumference=pie * diameter you insert 3.14 for pie and 4.6 for the diameter than multiply them together to get 14.444 and it said to round to the nearest hundredth if necessary so now its 14.45.  Hope this helps!

Answer:

A. (0,1) and (1,2)

Step-by-step explanation:

I graphed it

The area of the given triangle will be 57 cm^2

The steps are as follow:

a = altitude of triangle = 6 cm

b = base of traingle = 19 cm

A = (ah)/2

A = (6 x 19)/2

A = 114/2

A = 57 cm^2

So the area of given triangle will be 57 cm^2

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Answer:

(6^4 x 2^-9)

Step-by-step explanation:

Answer:

1 solution. y= 5/4x - 1/2

Step-by-step explanation:

the dimension for the output isn't correct.

when u multiply 2x2 matrix by 2x1 matrix, the output matrix must have dimensions of 2x1

3x² + 4x + 5 = 0 → x² + 4/3x +5/3 =0 → (x + ⅔)² + 5/3 - 4/9 = 0 → (x + ⅔)² + 11/9 = 0

Answer:

49 pizzas

Step-by-step explanation:

Start by writing it as a equation,

P stands for Pizza

6p +97 = 8p

Minus 6p from both sides

97=2p

Divide by 2

P= 48.5

You would need to round up, so it would be 49 pizza

Answer:

x > -18

x = { -17, -16 , -15 ,...............}

Step-by-step explanation:

[tex]\frac{x}{3}+4 > - 2[/tex]

Subtract 4 from both sides

[tex]\frac{x}{3}> - 2 - 4\\\\\frac{x}{3} > -6[/tex]

Multiply both sides by 3

[tex]x > -6*3\\\\x > - 18[/tex]

The correct relationship between the pair of angles m ∠AXC and m ∠BXC are,

A. They are supplementary angles,

An angle is a combination of two rays (half-lines) with a common endpoint. The latter is known as the vertex of the angle and the rays as the sides, sometimes as the legs and sometimes the arms of the angle.

Given that;

Measure of angle m ∠AXC and m ∠BXC are,

m ∠AXC = 100 deg.

m ∠BXC = 80 deg.

Hence, We get;

m ∠AXC + m ∠BXC

= 100 + 80

= 180 degree

Thus, The correct relationship between the pair of angles m ∠AXC and m ∠BXC are,

A. They are supplementary angles,

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Answer:

area is given base is given so area of parallelogram =b x h

or 72=13 x h

or h =72/13=5.5 units

Answer:12

Step-by-step explanation:

Answer:

1) AC = 6 cm

2) AB = 16.2 cm      ( note that ^{2} is = square and \sqrt{  this is = square root)

3) BC = 12.65cm

Step-by-step explanation:

1) a^{2} + b^{2} = c^{2}

4.8^{2} + 3.6^{2} = AC^{2}

36 = AC^{2}

\sqrt{ }36 = AC

AC = 6

2)   a^{2} + b^{2} = c^{2}

AB^{2} + 6.75^{2} = 17.55^{2}

AB^{2} = 308.0025 - 25.5625

AB = \sqrt{ }262.44

AB = 16.2

3)  a^{2} + b^{2} = c^{2}

BC^{2} + 6^{2} = 14^{2}

BC^{2} = 196 - 36

BC = \sqrt{ } 160

BC = 12.65

I hope this helps a little bit.

Answer:

x^2 - 2

Step-by-step explanation:

The correct procedure would have been to distribute the negative to the +4 also, so you would have +2 - 4 = -2 so the final answer should have been

x^2 - 2

(3x²+2)-(2x²+4)

write in a different form, remove parentheses

3x²+2-2x²-4

calculate the value of the corresponding terms

x²-2

Answer: Yes, he made a mistake.

A simplified expression would look like this x²-2 and not like this x²+^6.