What are the factors of x2 – 100?

Answers

Answer 1

Answer:

(x - 10)(x + 10)

Step-by-step explanation:

x² - 100 ← is a difference of squares and factors in general as

a² - b² = (a - b)(a + b) , then

x² - 100

= x² - 10²

= (x - 10)(x + 10)


Related Questions

Which statement about the equation 3x ^ 2 + 9x - 12 = 0 is true ? 1 . The product of the roots is -12 . 2 The product of the roots is -4 . 3 The sum of the roots is 3 . The sum of the roots is -9 .

Answers

Answer:

Option : The product of the roots is - 4

Step-by-step explanation:

[tex]3x^2 + 9x - 12 = 0\\\\3x^2 + 12x - 3x - 12 = 0\\\\3x(x+4) -3(x+4) = 0\\\\(3x - 3) (x+ 4) = 0\\\\[/tex]

Therefore the roots are -4 and 1

The product of the roots are -4 x 1 = -4

Abel has a piece of string that is 7/10 of a meter long. He cuts off 1/2 of a meter of string. How many meters of string does Abel have now?

Answers

Answer:

1/5

Step-by-step explanation:

7/10-1/2=1/5

hope it helps:)))

In ΔLMN, MN = 15, NL = 20, and LM = 6. Which list has the angles of ΔLMN in order from smallest to largest?

Answers

Answer:

m<N, m<L, m<M

Step-by-step explanation:

The angle that sees the longest side length has the bigger angle measurement

so the angles would be listed as following :

from smallest to largest :

m<N, m<L, m<M

Find RS. See image below

Answers

Step-by-step explanation:

since both cords are equal, so are arc length

4x + 18 = 7x - 51

3x - 21 = 0

x = 7

arc RS = 4(7) + 18

For EASY BRAINLIEST!!!

Answer:
A.
B.
C.
D.

On both questions

Answers

Answer:

8a) 3x

8b) 3 × x

8c) (2/3)x

8d) x/2

8e) 1/x

9a) 4x - 7

9b) x + 1/x

9c) 5(x + 2)

9d) x/(x + 4)

9e) (x/8) + x

(PLEASE HELP)
Find measurement for angles for 1 and 2

Answers

Answer:

Angle 1 is = 54° ( vertically opposite angles)

Angle 2 is = Angle 1 (corresponding angles are equal)

therefore Angle 2 = 54°

Please help will be marked as brainliest if correct

Answers

Answer:

I think the answer is three.

Here is a picture of my work. The answer is 3. Hope this helps:)

[tex]x^{2} +2000+15637=56 \\\\what is X\\\\PLEASE HELP[/tex]

Answers

Answer:

not defined

Step-by-step explanation:

[tex] {x}^{2} = 56 - 2000 - 15637 \\ {x}^{2} = - 1758[/tex]

Evaluate 13 - 0.75w+8x when w=12 and x= 1 over 2

Answers

Answer:

8

Step-by-step explanation:

Given:

13 - 0.75w + 8x

where,

w = 12

x = 1/2

13 - 0.75w + 8x

Substitute the value of w and x into the equation

= 13 - 0.75(12) + 8(1/2)

= 13 - 9 + 8/2

= 13 - 9 + 4

= 8

Therefore,

13 - 0.75w + 8x = 8

Find the surface area and the volume of the composite figure

Answers

Answer:

See below

Step-by-step explanation:

Surface area of the figure:

S = 2(lw + lh + wh) + 1/2(4πr²) - πr² = 2(lw + lh + wh)  + πr² S = 2(6*10 + 6*6 + 6*10) + 3.14*(6/2)² = 340.26 cm²

Volume of the figure:

V = lwh + 1/2(4/3πr³) =  lwh + 2/3πr³ V = 6*10*6 + 2/3*3.14*(6/2)³ = 416.52 cm³

Answer:

> S = 340.26 cm²

> V = 416.52 cm³

Step-by-step explanation:

We need to find the surface area and the volume of the composite figure . The given figure is made up of a cuboid and a hemisphere . Let's Calculate them ,

Finding the Surface area :-

> S = 2(6*10 + 6*6 + 6*10) + 3.14*(6/2)

> S = 340.26 cm²

Volume of the figure:

> V = lbh + 1/2(4/3πr³)

> V = 6*10*6 + 2/3*3.14*(6/2)³

> V = 416.52 cm³

Using the order of operations, what should be done first to evaluate 6 + StartFraction (negative 5 minus 7) over 2 EndFraction minus 8 (3)?
Subtract 7 from –5.
Multiply 8 and 3.
Divide 7 by 2.
Add 6 and –5.

Answers

do you mean

6+(-5-7)/2-8(3)?

-5-7= -12

6+-12/2-8(3)

8(3)=24

6+-12/2-24

-12/2=-6

6+-6-24

6+-6=0

0-24= 24

Answer:

Subtract 7 from –5.

Step-by-step explanation:

can someone please help​

Answers

Answer:

a

Step-by-step explanation:

When there is no decomposition, the plant is deficient in minerals.

someone that could help me with this?

Answers

Answer:

. ...................... ........

On a map of a town a school is located (-6, 3) and a movie theater is located (-6, -15) what is the distance from the school to the theater

Answers

Answer:The distance from the school to the theater = 18 units

Step-by-step explanation:

Distance between (a,b) and (c,d) = [tex]\sqrt{(d-b)^2+(c-a)^2}[/tex] units.

Given: On a map of a town a school is located (-6, 3) and a movie theater is located (-6, -15).

So, distance between (-6, 3) and(-6, -15) = [tex]\sqrt{(-6-(-6))^2+(-15-3)^2}[/tex]

[tex]=\sqrt{0^2+(-18)^2}\\\\=\sqrt{18^2}\\\\=18\ units[/tex]

Hence, the distance from the school to the theater = 18 units

Q.No.1: A subset of {1,7,8 } is:

Answers

Step-by-step explanation:

you only need to provide an example ?

if your question here is complete, then the full set is

{1,7,8}

and these are all possible subsets (pick any one you like) :

{1}, {7}, {8}, {1,7}, {1,8}, {7,8}

and formally also

{}, {1,7,8}

the empty set is a subset of every set, and the whole set itself is also formally a subset.

i dont know this sfjghfhbkdvnmds

Answers

Answer:

80

Step-by-step explanation:

Round 9.82

9.82 = 10

8 × 10 = 80

---------------------------------------------------------------------------------------------------------------

Have a great summer :)

Use the drop-down menus to answer the questions. What is the value of 6 in 16,000 after dividing by 1,000? What is the value of 9 in 1,900 after dividing by 100? What is the value of 8 in 81,500 after dividing by 10?​

Answers

Answer:

if you divide 1000, 100 and 10 in 16000 , 1900 and 81500 then the value of 6 and 9 is at once place and value of 8 is at thousand place

Answer:

6, 9 & 8150

Step-by-step explanation:

16,000 ÷ 1000 is 6

1900÷100 is 9

81,500÷10 is 8150

which linear inequality is represented by the graph

Answers

Answer:

Step-by-step explanation:

Identify each line or segment that intersects ⊙ T. HELP PLEASE!!!

Answers

Answer:

The 2 option :)

Step-by-step explanation:

The Chords : QL ,SM , Secant : NR , Tangents : a  and b , Diameter : QL, ,radii: PT , QT and TL therefore the Option A is the correct answer.

What is a Circle ?

A circle is a round shaped figure , whose all points are in the same plane and at same distance from a single point known as center.

A secant is a segment that passes through 2 points on a circle, It is an infinite extension of a chord.

A tangent touches a circle at exactly one point and never enters the interior of the circle.

A chord is a line segment which connects two point on the circle.

A diameter is a chord that passes through the center of the circleThe radius is half of the diameter of the circle

Based on the above definitions

Chords : QL ,SM

Secant : NR

Tangents : a  and b

Diameter : QL

radii: PT , QT and TL

To know more about Circle

https://brainly.com/question/11833983

#SPJ2

Write an inequality to describe the relationship between -1 2/3 and-1/4

Answers

Step-by-step explanation:

- 1⅔ <

__________________

Find the volume of this cylinder.
_____ cubic inches​

Answers

Answer:

2355in³

Step-by-step explanation:

3.14(5)²×30=2355 in³

Answer:

Answer:94.2

Answer:94.2Step-by-step explanation:

Answer:94.2Step-by-step explanation:3.14(5)²×30

Answer:94.2Step-by-step explanation:3.14(5)²×303.14×25×30

Answer:94.2Step-by-step explanation:3.14(5)²×303.14×25×303.14×5×6

= 94.2

i am sorry if it is not correct

Help please ASAP ASAP ASAP

Answers

Answer:

-3/2

Step-by-step explanation:

simply make y the subnext of the equation

Answer:

Step-by-step explanation:

3x - 2y = 18

-2y = - 3x + 18

y = 3/2 x - 9

slope of a parallel line would be M = 3/2

PLZZZ HELP
Find the average rate of change of h(x) = 2x² – 7x from x=2 to x=5.
Simplify your answer as much as possible.

Answers

Answer:

The average rate of change of h(x) in the given interval is 7.

Step-by-step explanation:

When we want to find the average rate of change of a function f(x), in an interval a < x < b, we just need to calculate:

[tex]r = \frac{f(b) - f(a)}{b - a}[/tex]

Here we have:

h(x) = 2*x^2 - 7*x

And we want to find the average rate of change between x = 2 and x = 5

This will be:

[tex]r = \frac{h(5) - h(2)}{5 - 2} = \frac{(2*5^2 - 7*5) - ( 2*2^2 - 7*2)}{3} = \frac{15 - (-6)}{3} = \frac{21}{3} = 7[/tex]

The average rate of change of h(x) in the given interval is 7.

A system of equations has 1 solution. If 4x – y = 5 is one of the equations, which could be the other equation?

A- y = –4x + 5
B- y = 4x – 5
C- 2y = 8x – 10
D- –2y = –8x – 10

Answers

Answer:

D: 2y = 8x - 10  

Step-by-step explanation:

A:  y = 4x + 5. This has a slope of -4 Yes it could work.

B:  y = 4x - 5. No It does not work

C: 2y = 8x - 10. The slope is 8/2 = 4. So No it could not work.

D: -2y = 8x - 10. The slope is 8/-2 = -4. Yes This Does work!  :)

Which equation is a function of x?

Answers

Answer:

X=5

x=y2+9

x2=y

x2=y2+16

Step-by-step explanation:

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

Someone Helppp me please

Answers

Answer:

Step-by-step explanation:

diameter = 3.7

radius = diameter/2

=3.7/2

=1.85

area of circle = πr^2

=π*(1.85)^2

=3.4225π m^2

pls answer
. its urgent pls
an

Answers

Answer:

a

Step-by-step explanation:

Answer:

option c

Step-by-step explanation:

[tex]\frac{-4}{3} * y = \frac{-3}{4}[/tex]

shift -4/3 to the right hand side . when it shifts to other side miltiplication changes to division

y = [tex]\frac{-3}{4} /\frac{-4}{3}[/tex]

now do reciprocal

y = [tex]\frac{-3}{4} *\frac{3}{-4}[/tex]

y = [tex]\frac{-9}{-16}[/tex]

minus and minus gets cancel

y = [tex]\frac{9}{16}[/tex]

y = [tex]\frac{(3)^2}{(4)^2}[/tex]

y = [tex](\frac{3}{4})^2[/tex]

What is the formula of a²—b²?

Answers

[tex]\implies {\blue {\boxed {\boxed {\purple {\sf { {a}^{2} - {b}^{2} = (a + b)(a - b)}}}}}}[/tex]

[tex]\bold{ \green{ \star{ \orange{Mystique35}}}}⋆[/tex]

[tex] \sf {a}^{2} - {b}^{2} = (a + b)(a - b)[/tex]

This is the required formula.


Solve the simultaneous equations
x + 7y = 15
x + 2y = 5

Answers

Answer:

x=1, y=2

Step-by-step explanation:

x + 7y = 15

x + 2y = 5

Subtract the two equations

x + 7y = 15

-x - 2y =- 5

------------------------

0x +5y = 10

Divide by 5

5y/5 = 10/5

y =2

Now find x

x+2y = 5

x +2(2) = 5

x +4 = 5

Subtract 4 from each side

x-4+4 = 5-4

x = 1

x + 7y = 15
x + 2y = 5
———————————
x + 7y = 15
(x + 2y = 5) -1
———————————
x + 7y = 15
-x - 2y = -5
———————————
x + 7y = 15
+ -x - 2y = -5
——————
0 + 5y = 10
———————————
5y = 10
— —
5 5
———————————
y = 2
Plug Y into one of the original equations to find x
———————————
x + 2y = 5
———————————
x + 2(2) = 5
———————————
x + 4 = 5
———————————
x + 4 = 5
- 4 | - 4
———————————
x = 5 - 4
———————————
x = 1
———————————


Answer is:
y = 2, x = 1
Or
(1, 2)

Simón y Carlos tienen una pista de autos iguales, pero cada uno de ellos tiene dos autos que corren a distintas velocidades. De los autos de Simón uno le da una vuelta completa a la pista en 31 segundos y el segundo lo hace en 17 segundos. De los autos de Carlos uno da una vuelta completa en 36 segundos y el segundo en 42 segundos. Proponen una competencia en la que todos los autos salen al mismo tiempo de la meta y el ganador será el primero en el que sus dos autos lleguen al mismo tiempo, de nuevo a la meta. ¿Quién ganará?

Answers

Answer:

Carlos.

Step-by-step explanation:

Dado que Simón y Carlos tienen una pista de autos iguales, pero cada uno de ellos tiene dos autos que corren a distintas velocidades, y de los autos de Simón uno le da una vuelta completa a la pista en 31 segundos y el segundo lo hace en 17 segundos, mientras que de los autos de Carlos uno da una vuelta completa en 36 segundos y el segundo en 42 segundos, si ambos proponen una competencia en la que todos los autos salen al mismo tiempo de la meta y el ganador será el primero en el que sus dos autos lleguen al mismo tiempo, de nuevo a la meta, para determinar quién ganará se deben realizar los siguientes cálculos:

Simón: 527 SEGUNDOS

A: 31 + 62 + 93 + 124 + 155 + 186 + 217 + 248 + 279 + 310 + 341 + 372 + 403 + 434 + 465 + 496 + 527

B: 17 + 34 + 51 + 68 + 85 + 102 + 119 + 136 + 153 + 170 + 187 + 204 + 221 + 238 + 255 + 272 + 289 + 306 + 323 + 340 + 357 + 374 + 391 + 408 + 425 + 442 + 459 + 476 + 493 + 510 + 527

Carlos: 252 SEGUNDOS

A: 36 + 72 + 108 + 144 + 180 + 216 + 252

B: 42 + 84 + 126 + 168 + 210 + 252

Por lo tanto, el ganador será Carlos.

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