If Angel N = angel L, find the perimeter of AMLN.
A. 26
B. 28
C. 37
D. 41

Answer:

36 square inches.

Step-by-step explanation:

Since the original figure was a square, all four side lengths are equivalent. The area for the square will be:

[tex]A=s^2[/tex]

Where s is the length of one side.

One side is increased by nine inches and the other side was decreased by two inches. The area of the resulting rectangle is 60 square inches.

So, one of the new sides is (s + 9).

And the other is (s - 2).

The area with these dimensions is 60. Thus:

[tex]60=(s-2)(s+9)[/tex]

Solve for s. Distribute:

[tex]60=s^2+7s-18[/tex]

Isolate the variables:

[tex]s^2+7s-78=0[/tex]

Factor:

[tex](s+13)(s-6)=0[/tex]

Zero Product Property:

[tex]s+13=0\text{ or } s-6=0[/tex]

Solve for each case:

[tex]s=-13\text{ or } s=6[/tex]

A side length cannot be negative. So, our only solution is:

[tex]s=6\text{ inches}[/tex]

Since each side of the square measures six inches, the area of the original square will be 36 square inches.

Answer:

([tex]\sqrt{5}[/tex] n - 4)([tex]\sqrt{5}[/tex] n + 4)

Step-by-step explanation:

Using the factorising method, difference of 2 squares

a² - b² = (a - b)(a + b) , then

5n² - 16

= ([tex]\sqrt{5}[/tex] n )² - 4²

= ([tex]\sqrt{5}[/tex] n - 4)([tex]\sqrt{5}[/tex] n + 4)

Answer:

the first one

Step-by-step explanation:

-.8x + 4.8y + 16

hope this helps

Answer:

39.6

Step-by-step explanation:

if

10=22

18=x

18x22=396/10= 39.6

Answer:

hi

Step-by-step explanation:

Review the standard and expanded forms of circle equations, and solve problems concerning them. ... Practice set 3: Using the expanded equation of circles ... y+105x2+y2+18x+14y(x2+18x)+(y2+14y)(x2+18x+81)+(y2+14y+49)(x+9)2+(y+7)2(x ... I could move the centre, but I'm lost as to how the radius should be adjusted.

Answer:

D. y = -1/2x + 18.5

Step-by-step explanation:

First you want to find the slope of the line that these coordinates make. To do this, use the slope formula: (y₂ - y₁) / (x₂ - x₁). I will use the first and last points.

(1, 18) & (6, 15.5)

Plug in these values:

(15.5 - 18) / (6 - 1)

Simplify the parentheses.

= (-2.5) / (5)

Simplify the fraction.

-2.5/5

= -1/2

This is your slope.

Now plug this into the standard slope-intercept equation: y = mx + b

y = -1/2x + b

b is the y-intercept, or the value of y when x = 0.

To find b, we want to plug in a value that we know is on this line: in this case, it is (1, 18). Plug in the x and y values into the x and y of the standard equation.

18 = -1/2(1) + b

To find b, multiply the slope and the input of x (1)

18 = -1/2 + b

Now, add 1/2 to both sides to isolate b.

18.5 = b

Plug this into your standard equation.

y = -1/2x + 18.5

This is your equation.

Hope this helps!

Step-by-step explanation:

√(20+5²)=√{20+25}=√45=3√5

Answer:

2y+6

Step-by-step explanation:

3y-y = 2y

So therefore...

2y+6

Answer:

BE=15

Step-by-step explanation:

Since E is the center, BE=2x+1

And AC is 6x-12 with E being a midpoint.

Since AC is 2 segments and BE is only 1 then you multiply 2x+1 by 2 so that

you can find x. You multiply 2x+12 by 2 because E is the midpoint so that means ED is the same value as BE

6x-12=4x+2

BD=AC

6x-4x-12=2

2x=2+12

2x=14

x=7

BE= 2x+1

2(7)=14+1=15

Answer:

904.32

Step-by-step explanation:

find the volume of the cylinder using V=πr^2h

V = (3.14)(6)^2(8)

V = 904.32

Answer:

hope help you stay happy and safe

Answer:

Step-by-step explanation:

b₁ = x

b₂ = 2b₁

b₃  = b₂+2

Answer:

9.4km

Step-by-step explanation:

6.2^2 +7.1^2 = x^2

so 38.44+ 50.41= 88.85

x^2= 88.85 so x = 9.4

Sorry if it's really confusing lol, if you need help i could explain it further but your answer is 9.4

Answer:

c. 5.5

Step-by-step explanation:

Answer:q=3

Step-by-step explanation:

14 multiplied by 3 equals 42

Answer: q = 3

Step-by-step explanation:

14q/14 = 1q

42/14 = 3

1q = 3

q = 3

Answer:

1/32

Step-by-step explanation:

Because each denominator is multiplied by 2

Answer:

x = -2 is the answer. Brainly requires a 20 character answer for some reason so im writing this

Answer:

x = - 2

Step-by-step explanation:

A line parallel to the y- axis is a vertical line with equation x = c

c is the value of the x- coordinates the line passes through.

The only equation in this form is

x = - 2

Answer:

3.46 = x

Step-by-step explanation:

6^2= 36

3.46^2 + 2(3.46)^2=36

Answer:

24 people were in the sample !

Answer:

7x=5x/67

Step-by-step explanation:

Answer:

Step-by-step explanation:

the nth term of a geometric sequence is

∙

x

a

n

=

a

r

n

−

1

where a is the first term and r the common ratio

r

=

a

2

a

1

=

a

3

a

2

=

...

...

=

a

n

a

n

−

1

here  

a

=

3

and  

r

=

9

3

=

27

9

=

3

⇒

a

10

=

3

×

3

9

=

3

10

=

59049

Answer:

5 x 5^2=125

Step-by-step explanation:

Answer:

About 0.680389 kg

Step-by-step explanation:

Answer:

There is 0.680389 kilograms in 1 1/2 pounds.

Answer:

Step-by-step explanation:

use the law of Cosines so that you can solve a SSS triangle

Cos(C) = [tex]a^{2}[/tex] + [tex]b^{2}[/tex] - [tex]c^{2}[/tex]  / 2ab

c is the side of 24 for our triangle and angle C is the top one in the picture.

C = arcCos ( [tex]a^{2}[/tex] + [tex]b^{2}[/tex] - [tex]c^{2}[/tex]  / 2ab )

C = arcCos ( -32 / 480 )

C = 93.82255373 °

the angles at the top are each half of that or 46.91127 °

let's solve another angle for the big triangle now let's go for the one on the left and call it A

Cos(A) = [tex]c^{2}[/tex] + [tex]b^{2}[/tex] - [tex]a^{2}[/tex]  / 2bc   where a = 20

A = arcCos( [tex]c^{2}[/tex] + [tex]b^{2}[/tex] - [tex]a^{2}[/tex]  / 2bc)

A = arcCos( [tex]24^{2}[/tex] + [tex]12^{2}[/tex] - [tex]20^{2}[/tex] / 2*12*24

A = arcCos(320 / 576)

A = 56.2510 °

then angle B is  180 =93.823 + 56.251 + B

29.926 ° = B

so now we know all 3 angles.. seems like a lot of work , huh  :D

for the triangle with the question mark we now know two angles and the Hyp, so let's use Law of Sines to find that last side  :)

Sin(A)/a = Sin(B) /b  where A can be the angle at the top and B can be the angle at the base. which we have to find still  :/  

it's 180 = 46.9112 + 29.926 + B

103.162 = B

Sin(46.91127 ) / a = Sin(103.162) /20

Sin(46.91127 ) * 20 / Sin(103.162) = a

14.99998 = a    I feel confident this is supposed to be 15 and I have a tiny bit of rounding error..

? = 15   there you go  

your answer is 15

Answer:

It's B

Step-by-step explanation:

Because 10 less than 20 mean 20 is not greater so B. ) is correct