Fill in the Blanks:
To factor p^2 - 5p -14 we need to find ___ of ____ that will also add to equal ____.​

Answer:

2 x 10 x 4 + (4 + 10) x 2 x 6 = 80 + 168 = 248

[tex]\dfrac 1{x+y} + \dfrac{3}{x-y} + \dfrac{2}{x^2-y^2} \\\\\\=\dfrac 1{x+y} + \dfrac{3}{x-y} + \dfrac{2}{(x+y)(x-y)}\\ \\\\=\dfrac{x-y+3(x+y)+2}{(x+y)(x-y)}\\\\\\=\dfrac{x-y+3x+3y+2}{(x+y)(x-y)}\\\\\\=\dfrac{4x+2y+2}{(x+y)(x-y)}\\\\\\=\dfrac{2(2x+y+1)}{(x+y)(x-y)}[/tex]

Answer:

1) 1, 1, [tex]\sqrt{2}[/tex]

2) 45°, 45°, 90°

Step-by-step explanation:

side lengths need to be proportional like 1, 1, [tex]\sqrt{2}[/tex], which is proportional for isoscele triangle.

isosceles is the one that has 90° angle and 2 equal angles so two 45° angles.

Answer:

Step-by-step explanation:

The markings on the figure show this to be a parallelogram. That means opposite sides are congruent. Because the sides are parallel, "alternate interior" angles are also congruent.

__

Angle y forms a linear pair with the one marked 83°, so is supplementary to it:

  y = 180°-83° = 97°

__

The angle marked y is an exterior angle to the triangle containing the angle marked (7x -5)°. As such, it is equal to the sum of the remote interior angles, the one marked (7x -5)° and the unmarked one that is congruent to (3x +32)°.

  (7x -5) +(3x +32) = 97 . . . . . angle relations in the left-side triangle

  10x +27 = 97 . . . . . . . collect terms

  10x = 70 . . . . . . . . subtract 27

 x = 7 . . . . . . . . divide by 10

__

The side marked Z is congruent to the opposite parallel side, so ...

  z = 19

__

The missing measures are ...

_____

Additional comment

You can also find the value of y by adding up the interior angles of the right-side triangle. The one not shown there is "alternate interior" to the one marked (7x -5)°, hence has the same measure. This gives ...

  (7x -5) +(3x +32) +83 = 180

Subtracting 83° from both sides gives the equation we used above.

Answer:

A

Step-by-step explanation:

tan theta will equal zero if theta = n × pi where n is an integer

The perfect square trinomial will be [tex]\rm x^2+14x+49[/tex] ,  [tex]x^2-24x+144[/tex]Expression 2 and 4 are correct.

A mathematical expression with three terms or three monomials is called a trinomial. Polynomials having only three terms are known as trinomials.

The second and fourth expression seems to be the perfect square let's check it.

Expression 2;

[tex]x^2 + 14x+49 \\\\ x^2+7x+7x+49 \\\\ x(x+7)+7(x+7)\\\\ (x+7)(x+7) \\\\ (x+7)^2[/tex]

Expression 4;

[tex]x^2-24 x +144 \\\\ x^2-12x-12x+144 \\\\ x(x-12)-12(x-12) \\\\ (x-12)^2[/tex]

Hence the perfect square trinomial will be [tex]\rm x^2+14x+49[/tex] ,  [tex]x^2-24x+144[/tex] .Expressions 2 and 4 are correct.

To learn more about the trinomials refer to the link;

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Answer:

Options 2 and 4

Step-by-step explanation:

[tex]\textit{area of a circular ring}\\\\ A=\pi (R^2-r^2)~~ \begin{cases} R=\stackrel{larger}{radius}\\ r=\stackrel{smaller}{radius}\\[-0.5em] \hrulefill\\ R=50\\ r=36 \end{cases}\implies \begin{array}{llll} A=\pi (50-36)\implies A=14\pi \\\\\\ A\approx 44.0 \end{array}[/tex]

Answer:

80

Step-by-step explanation:

-50+x=30

x=80

Answer:

im pretty sure its 80

Step-by-step explanation:

Answer:

[tex]y = 3x +1[/tex]

Step-by-step explanation:

We can verify it by substituting the [tex]x[/tex] with the numbers in the [tex]x[/tex] column to get the same [tex]y[/tex] in the [tex]y[/tex] column.

Check:

[tex]y = 3(-2) +1\\y = -6 +1\\y= 5[/tex]

It matches; therefore, the answer is [tex]y = 3x +1[/tex]. You can try with the other equations given and take the same steps, but it will not match.

Answer:

  D) the point where the graph crosses the y-axis

Step-by-step explanation:

The "initial" value of a function is generally taken to mean the function value when the independent variable is zero.

On a graph of the profit function, that will be the y-intercept: the point where the graph crosses the y-axis.

__

The highest point on the graph will be the maximum profit.

The points where the graph crosses the x-axis will be where profit is zero, referred to as "break-even" points.

The lowest point on the graph will be where the profit is a minimum. That point may actually indicate a loss (negative profit).

The number of degrees that have been turned by the car when it travels from town a to town b will be 1080°.

From the information given, it was stated that it took a car 3 hours to travel from town a to town b and the wheel of a car completes a rotation.

In this case, a rotation is 360°, since there are 3 rotations, the degrees will be:

= 360 × 3

= 1080°

Learn more about degree on:

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Answer:

Step-by-step explanatio the way the question is phrased Is confusing

Answer:

u didnt give out the choses but it might be a chance to be dilation

Step-by-step explanation:

"the action or condition of becoming or being made wider, larger, or more open."

since she enlarge it without altering the center of it

Answer:

See below ~

Step-by-step explanation:

a)

b)

c)

d)

e

Answer: 16.666666 feet

Explanation: 25/9=x/6 (25*2)/3 =50/3 I hoped this helped you solve your problem. Have a good day love!

The tangent or tanθ in a right angle triangle is the ratio of its perpendicular to its base. The Height of the fence is 8 feet.

The tangent or tanθ in a right angle triangle is the ratio of its perpendicular to its base. it is given as,

tan(θ) = Perpendicular/Base

where,

θ is the angle,

Perpendicular is the side of the triangle opposite to the angle θ,

Base is the adjacent smaller side of the angle θ.

Given that a 25-foot tree casts a 6 1/4-foot shadow. Also, At the same time, a fence casts a 2-foot shadow.

Length of the shadow = 6 1/4 feet = 6 + 1/4 = 6.25 feet

Now, since the sun is at the same angle, therefore, the angle between the top of the object and the top of the its shadow will be the same for all the objects. Therefore,

tan(θ) = Height of the tree/Shadow of the tree = Height of the fence/Shadow of the fence

tan(θ) = 25 feet / 6.25 feet =  Height of the fence / 2 feet

Height of the fence = (2feet × 25 feet) / 6.25 feet

Height of the fence = 8 feet

Hence, the Height of the fence is 8 feet.

Learn more about Tangent (Tanθ) here:

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[tex]\cot^4 A - \cot^2 A = 1\\\\\cot^4 A = 1 + \cot^2 A\\\\\frac{\cos^4 A}{\sin^4 A} = 1 + \frac{\cos^2 A}{\sin^2 A}\\\\\frac{\cos^4 A}{\sin^4 A} = \frac{\sin^2 A}{\sin^2 A}+\frac{\cos^2 A}{\sin^2 A}\\\\\frac{\cos^4 A}{\sin^4 A} = \frac{\sin^2 A+\cos^2 A}{\sin^2 A}\\\\\frac{\cos^4 A}{\sin^4 A} = \frac{1}{\sin^2 A}\\\\\cos^4 A = \frac{\sin^4 A}{\sin^2 A}\\\\\cos^4 A = \sin^2 A\\\\[/tex]

This then means,

[tex]\cos^4 A + \cos^2 A = 1\\\\\sin^2 A + \cos^2 A = 1\\\\[/tex]

which is the pythagorean trig identity. This concludes the proof.

Therefore, if [tex]\cot^4 A - \cot^2 A = 1[/tex], then [tex]\cos^4 A + \cos^2 A = 1[/tex]

Answer:

15

Step-by-step explanation:

Trust me it 15.

Too long to explain...

Answer:

779

Step-by-step explanation:

Aiming to get the value of formula

Given that

50° + 80² = 140°.

:: Cos140² = 100 + 700²³ - R²

kaw of ousines axivox. T

·· R² = 607246

R≈ 780 miles

• The result is T80 miles

[tex]\cfrac{(21x^5y^8)^2}{3x^2}\implies \cfrac{((3)(7)x^5y^8)^2}{3x^2}\implies \cfrac{3^2\cdot 7^2x^{5\cdot 2}y^{8\cdot 2}}{3x^2}\implies \cfrac{3^2}{3}\cdot \cfrac{7^2 x^{10} y^{16}}{x^2} \\\\\\ 3\cdot 7^2 x^{10}\cdot x^{-2} y^{16}\implies 3\cdot 49x^{10-2}y^{16}\implies 147x^8y^{16}[/tex]

Answer: 4 1/12

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

400 miles / 1 gallon every 25 miles = 16 gallons total  

Answer: 254.5

Step-by-step explanation:

[tex]8 \times 60 = 480 \: \: min[/tex]

For 3 people

____________________________________________

Thus for each person it may take :

[tex]480 \div 3 = 160 \: \: min[/tex]

And for 5 people it will take :

[tex]160 \times 5 = 800 \: \: min[/tex]

Answer is 780 minutes

2.6 hours = 1 person

8/3 = 2.66 (continuing)

5 x 2.6 = 780 minutes (13 hours)

So, 5 people = 780 minutes

780, if rounded, = 800

area of circle = πr²           (where "r" is the radius)

===========

Here the radius: 3 ft

Area:

Based on the information the amount that Agnes paid as state income tax is $2,040.

Federal Income Tax is the tax system in the United States, levied and governed by Internal Revenue Services (IRS) which helps determine the tax that is charged on the income earned by individuals, corporates, and various other legal entities.

The first step is to calculate Agnes' federal taxable income.

Federal taxable income=$15449.60/0.284

Federal taxable income= $54,400

The second step is to calculate Agnes' state income tax.

State income tax=0.0375 ×$54,400

State income tax=$2,040

Hence, the amount that Agnes paid as state income tax is $2,040.

Learn more here federal income:

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Answer:

its d

Step-by-step explanation:

Answer:

2 option hope it helps

Hence, option D is correct.

[tex]\dashrightarrow \sf \sqrt{\sqrt[3]{2}}[/tex]

apply radical rule

[tex]\dashrightarrow \sf \left(2^{\dfrac{1}{3}}\right)^{\dfrac{1}{2}}[/tex]

apply exponent rule

[tex]\dashrightarrow \ \sf 2^{\dfrac{1}{6}}[/tex]

[tex]\left(\sqrt x - \sqrt{3y} \right) \left(\sqrt x + \sqrt{3y} \right)\\\\=\left(\sqrt x\right)^2 - \left(\sqrt{3y} \right)^2\\\\=x -3y[/tex]

x - 3y

Solving Stepwise:

[tex]\hookrightarrow \sf \left(\sqrt{x}-\sqrt{3y}\right)\left(\sqrt{x}+\sqrt{3y}\right)[/tex]

[tex]\hookrightarrow \sf \left(\sqrt{x}\right)^2-\left(\sqrt{3y}\right)^2[/tex]

[tex]\hookrightarrow \sf x-3y[/tex]

Answer:

x=-4

or

x=-5

Step-by-step explanation:

STEP

1

:

Equation at the end of step 1

 ((0 -  2x2) -  18x) -  40  = 0

STEP

2

:

STEP

3

:

Pulling out like terms

3.1     Pull out like factors :

  -2x2 - 18x - 40  =   -2 • (x2 + 9x + 20)

Trying to factor by splitting the middle term

3.2     Factoring  x2 + 9x + 20

The first term is,  x2  its coefficient is  1 .

The middle term is,  +9x  its coefficient is  9 .

The last term, "the constant", is  +20

Step-1 : Multiply the coefficient of the first term by the constant   1 • 20 = 20

Step-2 : Find two factors of  20  whose sum equals the coefficient of the middle term, which is   9 .

     -20    +    -1    =    -21

     -10    +    -2    =    -12

     -5    +    -4    =    -9

     -4    +    -5    =    -9

     -2    +    -10    =    -12

     -1    +    -20    =    -21

     1    +    20    =    21

     2    +    10    =    12

     4    +    5    =    9    That's it