For what values of does the equation (2 + 1)^2 + 2 = 10 − 6 have two real and equal roots?

Answer:

( 1, - 3.5 )

Step-by-step explanation:

Given endpoints (x₁, y₁ ) and (x₂, y₂ ) the midpoint is

( [tex]\frac{x_{1}+x_{2} }{2}[/tex] , [tex]\frac{y_{1}+y_{2} }{2}[/tex] )

Here (x₁, y₁ ) = C (9, 2) and (x₂, y₂ ) = D (- 7, - 9 )

midpoint = ( [tex]\frac{9-7}{2}[/tex] , [tex]\frac{2-9}{2}[/tex] ) = ( [tex]\frac{2}{2}[/tex], [tex]\frac{-7}{2}[/tex] ) = (1, - 3.5 )

Answer:

x =550

y=250

Step-by-step explanation:

.2x + .04y = 120

x + y = 800

Answer:

[tex]team \: a \\ 8 \: in \: number \: with \: in \: 2hours \: \\ so \: in \: 1hour \frac{8}{2} = 4 \\ \\ team \: b \\ 5 \: in \: number \: in \: 1 \: hour \\ so \: b \: is \: fast \\ thank \: you[/tex]

Answer:

=X-2a

= 6- 2× (-7)

= 6 + 14

= 20

✌✌✌✌

Answer:

7x = 42

Step-by-step explanation:

"Product" refers to multiplication and "is" refers to equal to.

Hi! I'm happy to help!

This equation will be written like this

x×7=42

To make this easier to solve, we can use the inverse operation, division.

42÷7=x

42 divided by 7 is 6, so the answer is 6.

I hope this was helpful, keep learning! :D

Answer:

Either a 45°-45°-90° triangle or an isosceles right triangle depending on the question

Step-by-step explanation:

A triangle that has two 45° angles always has a third angle of 90° making it a 45-45-90 as well as a right triangle.

Answer:

Step-by-step explanation:

: v

Answer:

(x + 10)² = 4

Step-by-step explanation:

Given

2x² + 192 = - 40x ( add 40x to both sides )

2x² + 40x + 192 = 0 ( subtract 192 from both sides )

2x² + 40x = - 192 ( divide through by 2 )

x² + 20x =- 96

To complete the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(10)x + 100 = - 96 + 100

(x + 10)² = 4

Answer:

B

Step-by-step explanation:

(x/(x-2))*(3/(x-2))=3x/(x-2)^2=3x/(x^2-4x+4)

Answer:

cross multiplication would be the quickest technique that works to visualize this set of questions..

if [tex]\frac{a}{b} = \frac{c}{d}[/tex]  then ad = bc

each item that does not have a denominator add a "1" as the denominator

so first item... [tex]\frac{sin(50)}{1} = \frac{x}{4}[/tex]  

[tex]\frac{4 * sin(50) }{1} = x[/tex]     x = [tex]4\sin \left(50^{\circ \:}\right)=3.06417\dots[/tex]

#b) [tex]3\tan \left(81^{\circ \:}\right)=18.94125[/tex]

#c) [tex]6\cos \left(33^{\circ \:}\right)=5.03202[/tex]

.

.

#g)[tex]7.1\tan \left(18.4^{\circ \:}\right)=2.36185[/tex]

Step-by-step explanation:

Answer:

First we extract the sin or the tan according to the question and multiply the number with the denominator and extract the x .

[tex] \sin(50) = \frac{x}{4} \\ 0.766 = \frac{x}{4} \\ x = 3.06[/tex]

[tex] \tan(81) = \frac{x}{3} \\ 6.31 = \frac{x}{3} \\ x = 18.93[/tex]

[tex] \cos(33) = \frac{x}{6} \\ 0.83 = \frac{x}{6} \\ x = 0.83 \times 6 \\ x = 4.98[/tex]

[tex] \cos(75 ) = \frac{x}{3.5} \\ 0.258 = \frac{x}{3.5} \\ x = 0.2588 \times 3.5 \\ x = 0.90[/tex]

[tex] \sin(24) = \frac{x}{4.2} \\ 0.406 = \frac{x}{4.2} \\ x = 0.406 \times 4.2 \\ x = 1.70 [/tex]

[tex] \tan(42) = \frac{x}{10} \\ 0.9 = \frac{x}{10} \\ x = 9[/tex]

[tex] \frac{x}{7.1} = \tan(18.4) \\ \frac{x}{7.1} = 0.33 \\ x = 0.33 \times 7.1 \\ x = 2.34[/tex]

[tex] \frac{x}{5.3} = \sin(64.7) \\ \frac{x}{5.3} = 0.9 \\ x = 4.77[/tex]

[tex] \frac{x}{12.6} = \cos(52.9) \\ \frac{x}{12.6} = 0.6 \\ x = 0.6 \times 12.6 \\ x = 7.56[/tex]

I hope I helped you^_^

Answer:

4

Step-by-step explanation:

Let's simplify step-by-step.

−2z2+4z+2z2

Combine Like Terms:

=−2z2+4z+2z2

=(−2z2+2z2)+(4z)

=4z

Answer:

4z

Hope this helps <3 Need thanks?

Comment /hearthelp

[tex]\\ \sf\longmapsto -2z^2+4z+2z^2[/tex]

[tex]\\ \sf\longmapsto -2z^2+2z^2+4z[/tex]

[tex]\\ \sf\longmapsto (-2+2)z^2+4z[/tex]

[tex]\\ \sf\longmapsto 0z^2+4z[/tex]

[tex]\\ \sf\longmapsto 4z[/tex]

Answer:

Step-by-step explanation:

Answer:

Sally is 30 and Suki is 20

Step-by-step explanation:

x = Sally's age

y = Suki's age

x = 10 + y

(x - 5) + (y - 5) = 40

x = 30, y = 20

Answer:

Yes, both equations are equivalent

Step-by-step explanation:

Simplifying [tex]10x - 3 + 2x - 5[/tex] by combining "like terms" gives us [tex]12x-8[/tex].

Now, to solve "four (3X - 2)", we need to use the distributive property. Doing [tex](4\cdot3x)-(4\cdot2)[/tex] gives us [tex]12x-8[/tex] again.

Therefore, [tex]10x - 3 + 2x - 5[/tex] and four (3X -2) are equivalent!

(Hope this helped you! If any part of the explanation doesn't make sense, or the answer is incorrect/not the answer you we're looking for, then please tell me and I will try to fix my answer as soon as possible)

Answer:

just apply d formular 4 each

lykfor the mean=£fx/£f...which x is the inches and f is the frequency...multiply both from 63 to 75 inches e.g 63×2=126, 65×1=65...then add the scores together.... then divide it by the summation of the frequency which is 2+1+4+3+1+2+2+2+1+3+2+2=23. note am applying this method based on the formular

for median=£f/2 since it's odd number add +1

=£f+1/2

=23+1/2

=24/2

=12 .the 12 would fall on 69 inches using the cumulative method

mode is 66 since it's the number with the highest frequency

Answer:

D

Step-by-step explanation:

Instead of 2x + 11 = 5x + 16, you should have put 2x+11 = 5x - 16. There is a sign change right before the 16, and you may have accidentally written down +16 instead of -16. I think that's where the problem is.

2x + 11 = 5x - 16

subtract 5x from both sides to make all variables on one side

-3x + 11 = -16

subtract 11 from both sides to isolate the x and its coefficient

-3x = -27

divide both sides by -3 to isolate x

x = 9

Answer:

The polynomial is 2x^3 - 8x^2 - 24x

And we can factor out a 2x from each of the three terms:

2x(x^2 - 4x - 12)

Lastly, factor the remaining quadratic:

2x(x+(-2))(x+6)

And we have our answer:

a=2

b=-2

c=6

Let me know if this helps!

Answer:

a =2, b =2, and c = -6

Step-by-step explanation:

We factor the polynomial and then see which value corresponds to what.

2x^3-8x^2-24x

As we see it, all terms are factorable by 2x. So if we take out 2x from every term, we get

2x(x^2 - 4x - 12)

Now we factor the quadratic, which we can do mentally to get

2x(x+2)(x-6)

ax(x+b)(x+c)

Comparing that to ax(x+b)(x+c), we can tell that a =2, b =2, and c = -6.

Answer:

thanks for free ponits you dint gave it free but I theft I'm sorry

Answer:

It's A

Step-by-step explanation:

The money earned is 160 in 7 hours

The money earned is 100 in 3 hours

The slope = change in money / change in time

The slope = (160 - 100 ) / (7 - 3) = 60/4 = 15 dollars / hour

The slope means that for every hour he earns 15 dollars.

Answer:

13/16

Step-by-step explanation:

To add these two fractions multiply the first fraction by 2 to get equivalent denominators so 6/16+7/16 then add the numerators to get 13/16.

Answer:

13/16

Step-by-step explanation:

3/8 + 7/16

Get a common denominator

3/8*2/2 + 7/16

6/16 + 7/16

13/16

Answer:

?

Step-by-step explanation:

how do u get that answer.

Answer:

F(8,6)

Step-by-step explanation:

(x₁,x₂)  --> E (-7, 2)

F(x₂,y₂)

Midpoint M(0.5 , 4)

Midpoint = [tex](\frac{x_{1}+x_{2}}{2},\frac{+y_{1}+y_{2}}{2})[/tex]

[tex](\frac{-7+x_{2}}{2},\frac{2+y_{2}}{2}) = (0.5, 4)\\\\[/tex]

Compare x,coordinates and y-coordinates,

[tex]\frac{-7+x_{2}}{2}= 0.5 \ ; \ \frac{2+y_{2}}{2}=4\\\\[/tex]

-7 + x₂ = 0.5*2    ; 2+y₂ = 4*2

-7+ x₂ = 1             ; 2 +y₂ = 8

     x₂ = 1+ 7        ;      y₂ = 8 - 2

     x₂ = 8            ;     y₂ = 6

F(8,6)

Answer:

F(8,6)

Step-by-step explanation:

(x₁,x₂)  --> E (-7, 2)

F(x₂,y₂)

Midpoint M(0.5 , 4)

Midpoint =

Compare x,coordinates and y-coordinates,

-7 + x₂ = 0.5*2    ; 2+y₂ = 4*2

-7+ x₂ = 1             ; 2 +y₂ = 8

    x₂ = 1+ 7        ;      y₂ = 8 - 2

    x₂ = 8            ;     y₂ = 6

F(8,6)

Answer:

x=31/7

Step-by-step explanation:

3x-6+4x+10=35

7x=31

x=31/7 (The task was to find the x, not simplify)

Answer:

[tex]x=\frac{31}{7}[/tex]

Step-by-step explanation:

One is given the following equation,

[tex]3(x-2)+2(2x+5)=35[/tex]

Distribute, multiply every term inside the parenthesis by the term outside of it.

[tex]3(x-2)+2(2x+5)=35[/tex]

[tex](3)(x)-(3)(2)+(2)(2x)+(2)(5)=35[/tex]

Simplify,

[tex](3)(x)-(3)(2)+(2)(2x)+(2)(5)=35[/tex]

[tex]3x-6+4x+10=35[/tex]

[tex]7x+4=35[/tex]

Inverse operations,

[tex]7x+4=35[/tex]

[tex]7x=31[/tex]

[tex]x=\frac{31}{7}[/tex]

Answer:

P = 1,-10

Q=1,-1

R=7,-1

S=7,-10

Answer:

6, 7

Step-by-step explanation:

6 x 7 = 42

Answer:

30

Step-by-step explanation:

Answer = No,It can be either rational or irrational.

________________________________

Prroof —

4 ÷ √8 = √2 { Which is an irrational number }

________________________________

Now, Here comes a twist,

We know that — 0 is a rational number.

And, 0 ÷ √56666 = 0 ________________________________

Note—

But, √56666 ÷ 0 = Error ( Lol )

________________________________

Answer:

3^2  = 9

(-4+5)^2-11+2^3 = -2

-2/9 or -9/2 ... re-read question is 3^2 dividing into (-4+5)^2-11+2^3

or the other way around... I think that there is a missing word...

3^2 "divided into"

vs 3^2 "divided by"

Step-by-step explanation: