Factor a 2 bc + ab 2 c + abc2

Answer:

4x² - x - 1

Step-by-step explanation:

(f - g)(x) = f(x) - g(x) , thus

f(x) - g(x)

= 4x² - (x + 1) ← distribute parenthesis by - 1

= 4x² - x - 1

Answer:

i believe it would be the first and second options

Step-by-step explanation:

the planes RUV and RST touch at line RU

the planes RSV and RUV touch at line RV

Answer:

aₙ = 9n - 31

Step-by-step explanation:

If we call the common difference as d, since 19 - 7 = 12, we can write:

32 + 12d = 140

12d = 108

d = 9 which means that a₁ = a₇ - 6d = 32 - 6 * 9 = -22.

Explicit formula for arithmetic sequence: aₙ = a₁ + (n-1)d so the answer is

aₙ = -22 + (n - 1) * 9

= -22 + 9n - 9

= 9n - 31

Answer:

The measure of angle XYZ will be 120° because the included arc of an inscribed angle will always be twice the measure of the inscribed angle

Answer:wrong. Its 249 degrees

Step-by-step explanation:

Just got it right on the quiz

Answer:

44664.59503

Step-by-step explanation:

Hello,

In this question, you're asked to find the radical of a number. However in mathematics, the radical of a number simply means "√" and not directly square root of that number, its could be the cube root "³√" or even the fourth root "⁴√".

In this case, we're asked to find the 3 radical of p/q which means 3√(p/q)

P = 2.78×10¹¹

Q = 3.12×10⁻³

p / q = 2.78×10¹¹ / 3.12×10⁻³

p / q = 8.91×10¹³

The 3 radical = 3√(8.91×10¹³)

3√(p/q) = 44664.59503

Answer:

C. 34

Step-by-step explanation:

138-(4*2)=130

130/(2+8)=13

13+4=17*2= C. 34

hope it helps

Answer:

The number of ways she can choose four albums for display with at least two from Diana Kroll is from the sixteen albums is 665 ways

Step-by-step explanation:

1) The number of ways she can choose 2 albums of Diana from the 5 Diana Kroll  albums is 5!/(2!(5 - 2)!) = 10 ways

Choosing the other 2 albums from the remaining 11 albums gives;

11!/(2!(11 - 2)!) = 55 ways

Total number of ways is then 10 × 55 = 550 ways

Choosing 3 from the 5 Diana Kroll  albums is 5!/(3!(5 - 3)!) = 10 ways

Choosing the other 1 album from the remaining 11 albums gives;

11!/(1!(11 - 1)!) = 11 ways

Total number of ways is then 10 × 11 = 110 ways

Choosing 4 from the 5 Diana Kroll  albums is 5!/(4!(5 - 4)!) = 5 ways

Choosing the other 0 album from the remaining 11 albums gives;

11!/(0!(11 - 0)!) = 1 way

Total number of ways is then 5 × 1 = 5 ways

Total number of ways = 550 + 110 + 5 = 665 ways

2) In the indirect method, we first find the number of ways to choose 4 albums out of the 16 albums, then we subtract the number of cases where there are  1 and 0 Diana Kroll albums as follows;

16!/(4!(16 - 4)!) = 1820 ways

With 1 Diana Kroll album gives

5!/(1!(5 - 1)!)×11!(3!(11 - 3)!) = 825 ways

With 0 Diana Kroll album gives

5!/(0!(5 - 0)!)×11!(4!(11 - 4)!) = 330 ways

Total number of ways with at least 2 Diana Kroll albums = 1820 - 825 - 330

Total number of ways with at least 2 Diana Kroll albums = 665 ways.

Answer:

  cosine

Step-by-step explanation:

"Cos" is the abbreviation usually applied to the name of the cosine function. That function gives the x-coordinate of the point on a unit circle that is at some angle measured counterclockwise from the x-axis. A unit circle is a circle with a radius of 1 unit, centered at the origin.

Answer:

-721 is greater than -723.

Step-by-step explanation:

Answer:

x < - 721

Step-by-step explanation:

x < - 721 is the one according to the pictured line

Answer:

x < 2

Step-by-step explanation:

The indicated part is left from point 2.

You see an open circle at point (2,0) which means you should exclude the point x = 2 in the inequation.

Now you have enough info to get the right inequality:

x < 2

Answer:

324.5m^2

Step-by-step explanation:

To find the area of the composite shape, divide the shape into 3 known shapes and calculate their areas.

SO, here we divide the shape into 2 triangles and 1 rectangle.

Area of rectangle = 15 x 8 = 120m^2

Area of triangle 1 = 1/2 x 7 x 15 = 52.5m^2

Area of triangle 2 = 1/2 x 9 x 8 = 4 x 9 = 32cm^2

Now, the sum of these areas = area of composite shape = 32 + 52.5 + 120 = 204.5m^2

Hope this helps.

Please mark brainiest

Good Luck

Answer: 52.5 + 36 + 120 = 208.5

208.5 m is your answer.

Step-by-step explanation: To come to this, first you have to break the composite shape into the three different shapes that you see. 2 rectangles and a triangle. From there, you simply solve the area for each individual shape and then add them together as shown in the answer.

Answer:

[tex]\boxed{\sf \ \ \ 3x^2-20x+37\ \ \ }[/tex]

Step-by-step explanation:

Hello,

a and b are the zeros, we can say that

[tex]f(x)=3(x^2-\dfrac{4}{3}x+\dfrac{5}{3}) = 3(x-a)(x-b)=3(x-(a+b)x+ab)[/tex]

So we can say that

[tex]a+b=\dfrac{4}{3}\\ab=\dfrac{5}{3}[/tex]

Now, we are looking for a polynomial where zeros are 2a+3b and 3a+2b

for instance we can write

[tex](x-2a-3b)(x-3a-2b)=x^2-(2a+3b+3a+2b)x+(2a+3b)(3a+2b)\\= x^2-5(a+b)x+6a^2+6b^2+9ab+4ab[/tex]

and we can notice that

[tex]a^2+b^2=(a+b)^2-2ab[/tex] so

[tex](x-2a-3b)(x-3a-2b)=x^2-5(a+b)x+6[(a+b)2-2ab]+13ab\\= x^2-5(a+b)x+6(a+b)^2+ab[/tex]

it comes

[tex]x^2-5*\dfrac{4}{3}x+6(\dfrac{4}{3})^2+\dfrac{5}{3}[/tex]

multiply by 3

[tex]3x^2-20x+2*16+5=3x^2-20x+37[/tex]

Replace m with 12 and simplify.

m-8 = 12-8 = 4

Answer:

0.7

if you multiply 0.7 with 0.7 you get 0.49 so 0.7 is the square root

Hope this helps

Step-by-step explanation:

Answer:

0.7

Step-by-step explanation:

0.49 = 49/100

√(49/100)

√49/√100

7/10

= 0.7

Answer:

2 cm.

Step-by-step explanation:

The entire base is 10 cm and the top is 8 cm, so b is 10 - 8 = 2 cm.

Hope this helps!

I hope this helps you

b+8=10

b=2

Answer:

17.3

Step-by-step explanation:

The following data were obtained from the question:

Angle T = 87°

Side T = t

Side V = 14

Side U = 11

The value of t can be obtained by using cosine rule as show below:

t² = u² + v² – 2uv cosT

t² = 11² + 14² – 2×11×14 cos 87°

t² = 121 + 196 – 308 × Cos 87°

t² = 300.88

Take the square root of both side

t = √300.88

t = 17.3

Therefore, the value of t is 17.3

Answer:

answer is 1

Step-by-step explanation:

The scale factor of triangle ABC to triangle DEF is 1. Therefore, the correct answer is option D.

In the given triangle ABC, AB=5 units, BC=5 units and AC=5 units and in triangle DEF, DE=5 units, DF=5 units and EF=5 units.

The basic formula to find the scale factor of a figure is expressed as,

Scale factor = Dimensions of the new shape ÷ Dimensions of the original shape.

So, the scale factor of ABC to DEF is

AB/DE = BC/EF = AC/DF = 5/5 = 1

Therefore, the correct answer is option D.

To learn more about the scale factor visit:

https://brainly.com/question/22312172.

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Lynda previous best time was 52.9 second.

Given that, Lynda runs the 400 meter for her school's track team.

She beat her best time by 3.6 seconds in the meet today with a time of 49.3 seconds.

It means that, previous best time of Lynda was 3.6 second more than as compared to todays time.

So that,

Previous best time is, [tex]=49.3+3.6=52.9seconds[/tex]

Learn more about the time here:

https://brainly.com/question/26292783

Answer:

Step by step explanation

We know that the diagonals of a square bisects it's angles and every angles of square are 90°

m<BCD = 90°

m<BCA = m< DCA = 4x + 17

m<BCA + m<DCA = m <BCD

4x + 17 + 4x + 17 = 90

4x + 4x + 17 + 17 = 90

8x + 34 = 90

8x = 90 - 34

8x = 56

X = 56/8

x = 7

Hope this helps...

Good luck on your assignment...

In square, the angle between the diagonal and the sides of the square is 45°. Then the value of x is 15.5°.

What is a square?

It is a polygon with four sides. The total interior angle is 360 degrees. In a square, opposite sides are parallel, all side are equal, and each angle is 90 degrees.

In square, the angle between the diagonal and the sides of the square is 45°.

4x + 17° = 45°

       4x = 62°

         x = 15.5°

More about the square link is given below.

https://brainly.com/question/13747846

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[tex]

5-6x=8x+17 \\

-14x=12\implies x=-\frac{6}{7}

[/tex]

Hope this helps.

Answer: -6/7

Step-by-step explanation: 5 - 6x = 8x + 17

                                             5 + - 6x = 8x + 17

                                            -6x + 5 = 8x + 17

                                            -6x + 5 - 8x = 8x + 17 - 8x

                                            -14x + 5 = 17

                                            -14x + 5 - 5 = 17 - 5

                                           -14x = 12

                                            -14x/-14 = 12/-14

                                             x = -6/7

Answer:

-0.5

-0.3

0.5

0.3

0.44

1.2

1.5

1.8

1.9

-0.9999888575

-0.344

0.5533

0.232

0.974

0.777

1.2222

Answer:

1.  A. No

2. A. Yes

Step-by-step explanation:

1. B.   Because the numbers to the left of 7 are smaller than the numbers to the right of 7 on the number line.

2. B. Because to the right side has more numbers than the left side so amber is correct

Answer:

[tex]x=\frac{139}{27}[/tex]

Step-by-step explanation:

-23(x+12)+23x=-54x+2

-23x-276+26x=-54+2

-276=-54x+2

54x=2+276

54x=278

[tex]x=\frac{139}{27}[/tex]

Answer:

Use mathaway <3

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

It is a horizontal line.

Answer:

undefined

Step-by-step explanation:

The slope of a line is found by

m = (y2-y1)/(x2-x1)

   = (-9 -10)/(-9 - -9)

   = -19/ (-9+9)

   = -19/0

We cannot divide by zero so the slope is undefined

Answer: the mossing angle is 57° and the missing sides are 8.8 and 10.1

Answer:

-4<n≤5

If you are using another variable just replace it in.

The information in the number line is an interval (-4,5]

Interval Notation is a way of expressing a subset of real numbers by the numbers that bound them. We can use this notation to represent inequalities. We know an interval expressed as 1 < x < 5 denotes a set of numbers lying between 1 and 5 and it is represented as (1,5)

Given here, the line extends to -4 and ends at 5 but the it is open on the LHS and closed on the RHS and thus the interval notation is (-4,5]

Hence the interval represented in the number line is  (-4,5]

Learn more about interval notation here:

https://brainly.com/question/14264237

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Answer:

55, Acute angled scalene triangle

90, Right angled scalene triangle

105, Obtuse angled scalene triangle

Step-by-step explanation:

Let us learn the property of a triangle.

Let a triangle be [tex]\triangle ABC[/tex].

Sum of all the three internal angles of a triangle is always equal to [tex]180^\circ[/tex].

OR

[tex]\angle A+\angle B+\angle C=180^\circ[/tex]

Given that triangles have 2 angles. Let us suppose, the third angle be [tex]x^\circ[/tex]

1. Triangle 1: two angles are [tex]50^\circ, 75^\circ[/tex]

[tex]\therefore 50^\circ+75^\circ+x=180^\circ\\\Rightarrow 125+x=180^\circ\\\Rightarrow x=55^\circ[/tex]

All the angles are less than 90 and no two angles are equal so, it is acute angle scalene triangle. (No sides equal)

2. Triangle 1: two angles are [tex]60^\circ, 30^\circ[/tex]

[tex]\therefore 60^\circ+30^\circ+x=180^\circ\\\Rightarrow 90+x=180^\circ\\\Rightarrow x=90^\circ[/tex]

One angle is 90 and not two angles are equal so, right angled scalene triangle.(No sides equal)

3. Triangle 1: two angles are [tex]30^\circ, 45^\circ[/tex]

[tex]\therefore 30^\circ+45^\circ+x=180^\circ\\\Rightarrow 75+x=180^\circ\\\Rightarrow x=105^\circ[/tex]

One angle is more than 90 and not two angles are equal so, obtuse angled scalene triangle.(No sides equal)

So, the answers are:

55, Acute angled scalene triangle

90, Right angled scalene triangle

105, Obtuse angled scalene triangle

Answer:

Step-by-step explanation:

3/4 t = 2/3

Multiply both sides of the equation by 4/3

4/3 * 3/4 t = 4/3 * 2/3

Reduce the numbers with G.C.F 4

1/3 * 3t = 4/3 * 2/3

Reduce the numbers with G.C.F 3

t = 4/3 * 2/3

Multiply the fractions

t = 8/9

Hope this helps...

Good luck on your assignment...

Answer:

[tex]t= \frac{8}{9} \\ [/tex]

Step-by-step explanation:

[tex]3/4t=2/3 \\ \frac{3}{4} t = \frac{2}{3} \\ cross - multiply \\ 3t \times 3 = 4 \times 2[/tex]

[tex]9t = 8 \\ divide \: both \: sides \\ of \: the \: equation \: by \: 9 \\ \frac{9t}{9} = \frac{8}{9} [/tex]

[tex]t = \frac{8}{9} [/tex]