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3 years ago

Factor each of the following using differences of squares

Mathematics

2 answers:

professor190 [17]3 years ago

8 0

The first is (x+10)(x-10)

The second one is (3x+14)(3x-14)

timofeeve [1]3 years ago

4 0

The first one is (x+10)(x-10)

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Please help! It would be very much appreciated :)

Trava [24]

Answer:

Cos 45=6/x

x=6/cos 45=6√2

x=6√2

tan 45=y/6

y=tan45 ×6

y=6

sin 60=y/10

y=sin60×10

y=5√3

again

Cos 60=x/10

x=½×10

x=5

Sin 45=x/5

x=1/√2×5 or

x=5√2/2

again

y=5√2/2 or 5/√2[base angle of right angled isosceles triangle]

Sin 30=8/x

½×x=8

x=8*2

x=16

again

cos 30= y/x

√3/2×16=y

y=8√3

sin 60=7/x

x=7/[√3/2]

x=14/√3 or 14√3/3

again

cos 60=y/x

½×14√3/3=y

7√3/2=y

y=7√3/2

Note:

Sin angle =perpendicular/hypotenuse

Cos angle =base/hypotenuse

Tan angle =perpendicular /base

7 0

3 years ago

Mrs. Miller sells a house for 179,000. If she earns a commission of 6%, how much money does she earn? ( can u also show me how u

Kryger [21]

Hi there!

Mrs. Miller earns a commission of 6% of 179,000

The word "of" is the same thing as a multiplication sign.

6% of 179,000 = 6% × 179,000

6% = 0.06

6% × 179,000 = 0.06 × 179,000

0.06 × 179,000 = 10,740

Your answer is: Mrs. Miller earns $10,740 of commission.

There you go! I really hope this helped, if there's anything just let me know! :)

5 0

3 years ago

-4x – 2y=-12 4x + 8y=-24 Solve each system by elimination

kirza4 [7]

Answer:

x = 6 and y = - 6

Step-by-step explanation:

- 4 x - 2 y = -12.......equ No 1

4 x + 8y = - 24.......equ No 2

Adding equ No 1 and equ No 2

6 y = - 36

∴ y = - 6

substitute y = - 6 in equ No 2

4 x + 8 y = -24

4 x + 8 ×( -6) = - 24

4 x - 48 = -24

4 x = -24 + 48

4 x = 24

∴ x = 6

x = 6 and y = - 6

7 0

3 years ago

Suzy has a collection of quarters and dimes. Together she has 34 coins worth $6.40. How many quarters and how many dimes does Su

vlada-n [284]

Answer:

Quarters = 20

Dimes = 14

Step-by-step explanation:

Dime = x = 10 cent = $0.1

Quarter = y = 25 cent = $0.25

x + y = 34 - - - (1)

0.1x + 0.25y = 6.40 - - - - (2)

From (1)

x = 34 - y

0.1(34 - y) + 0.25y = 6.40

3.4 - 0.1y + 0.25y = 6.40

3.4 + 0.15y = 6.40

0.15y = 6.40 - 3.40

0.15y = 3

y = 3 / 0.15

y = 20

x = 34 - y

x = 34 - 20

x = 14

Quarters = 20

Dimes = 14

3 0

3 years ago

The point A(-3,5) and the point B(1,-15) lie on the line L. Find the equation of the line L.

Shkiper50 [21]

(-3,5)(1,-15)
slope = (-15 - 5) / (1 - (-3) = -20/4 = -5

y = mx + b
slope(m) = -5
use either of ur points...(-3,5)...x = -3 and y = 5
now we sub and find b, the y int
5 = -5(-3) + b
5 = 15 + b
5 - 15 = b
-10 = b
so ur equation is : y = -5x - 10....or 5x + y = -10

7 0

3 years ago