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Fed [463]
3 years ago
15

What are the solutions of x ^ 2 + 6x - 6 = 10 ? x = - 11 x = 1 x = - 11 x = - 1 x = - 8x = - 2 x = - 8x = 2

Mathematics
1 answer:
zmey [24]3 years ago
8 0

Answer:

x=-8 ,2

Step-by-step explanation:

x ^ 2 + 6x - 6 = 10

Add 6 to each side

x ^ 2 + 6x - 6+6 = 10+6

x ^ 2 + 6x  = 16

Complete the square  take the coefficient of the x terms, divide by 2 and square it.  Then add it to each side

6/2 =3  , 3^2 =9  

x ^ 2 + 6x +9 = 16+9

(x+3)^2 = 25

Take the square root of each side

sqrt((x+3)^2) = ±sqrt(25)

x+3= ±5

Make 2 equations

x+3 = 5    x+3 = -5

Subtract 3 from each side

x+3-3 =5-3             x+3-3 = -5-3

x =2                           x=-8

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Joyce has 41 feet of chicken wire. There is 5 times that length of chicken wire in the
Kipish [7]

Answer:

205

Step-by-step explanation:

41 multiplied by 5 = 205

7 0
2 years ago
Hip hop music makes up 75% of Landon's music library. If he has downloaded 120 hip hop songs, how many songs does Landon have in
Otrada [13]

Answer: 160 songs.

Step-by-step explanation:

<em>75% hip hop music   -    120 songs </em>

<em>100% all music          -     x songs </em>

<em>Let's write the proportion:</em>

<em />\dfrac{120}{75} =\dfrac{x}{100} \\\\75x=120 \cdot 100\\75x=12000\\75x : 75 = 12000 : 75\\x = 160<em />

<em>Thus, Landon have 160 songs in his music library.</em>

4 0
3 years ago
Please, please help with this question!! I don't understand it!
Kazeer [188]

Answer:

Step-by-step explanation:

Find the area of each shape, then multiply by 20, then round to nearest hundred.

Half circle:

=πr²/2

=50π

=157.08

Large square:

=L•w

=20(22)

=440

Small square:

=L(w)

=12(3)

=36

Triangle:

=b(h)/2

=8(3)/2

=12

Btu req:

=(157.08+440+36+12)(20)

=(645.08)(20)

=12901.6

=12900 BTU

3 0
3 years ago
An angle measures 3pi/4 radians.<br> What is this angle's measure, in degrees?
Annette [7]

Answer:

135°

Step-by-step explanation:

To convert from radian measure to degree measure

degree measure = radian measure × \frac{180}{\pi }, so

degree = \frac{3\pi }{4} × \frac{180}{\pi }

Cancel π on numerator/denominator and 4, 180 by 4, leaving

degree = 3 × 45 = 135°

5 0
3 years ago
Read 2 more answers
If the simple interest on ​$3,000 for 8 years is ​$1,680​, then what is the interest​ rate?
madam [21]

We need to use the formula for simple interest which is
I= prt
Where I is the amount of money you earned or pay in interest
p is the principal, the amount you deposited or borrowed
r is the interest rate expressed as a decimal
t is time in terms of years

In this problem, I= 1,680
p= 3000
t= 8
'. r is what we are looking for.

Substituting the numbers into the simple interest formula, we get
I=. p r t
1,680=(3000)(r)(8). Multiplying
1,680= 24,000r Divide both sides by 24,000
0.07= r
So, the percentage is (0.07)(100)= 7%...
8 0
3 years ago
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