12^-2 in the simplest form

Answer:

sqrt(65)

Step-by-step explanation:

To find the distance between the two points

d = sqrt(  (x2-x1)^2+ (y2-y1)^2)

   = sqrt( (4-3)^2 +(1 - -7)^2)

    = sqrt( 1^2 + (1+7)^2)

    = sqrt( 1+8^2)

    = sqrt(1+64)

sqrt(65)

[tex] \large\begin{gathered} {\underbrace{\boxed{ \bf {\red{Distance \: = \: \sqrt{(x_2 \: - \: x_1) ^{2} \: + \: (y_2 \: - \: y_1) ^{2} } }}}}}\end{gathered}[/tex]

[tex] \bf \longrightarrow \: Distance \: = \: \sqrt{ \bigg(4 \: - \: 3 \bigg) ^{2} \: + \: \bigg(1 \: - \: [ - 7 ]\bigg) ^{2} }[/tex]

[tex] \bf \longrightarrow \: Distance \: = \: \sqrt{ (1) ^{2} \: + \: (1 \: + \: 7 ) ^{2} }[/tex]

[tex] \bf \longrightarrow \: Distance \: = \: \sqrt{ 1 \: + \: (8 ) ^{2} }[/tex]

[tex] \bf \longrightarrow \: Distance \: = \: \sqrt{ 65 }[/tex]

[tex]\Large \purple \diamond \: \: \underbrace {\rm {{{\color{blue}{Distance \: = \: \sqrt{65} }}}}} \: \: \purple \diamond[/tex]

Answer:

1. 12 + x = 20        2. x + 8 = 4x + 6

Step-by-step explanation:

problem 1 :      

12 + x = 20

problem 2:

x + 8 = 4x + 6

Answer:

D

Step-by-step explanation:

The slope of the line is - 1/4. The equation of the line is y=(-1/4x)+5

Answer:

(0, -2)

Step-by-step explanation:

a point on the y-axis. that means x=0.

so, the distance of (5, -2) to (0, y) is the same as the distance from (-3, 2) to (0, y).

the distance between (5, -2) and (0, y) is based on Pythagoras (the differences in x and y directions are the sides of a right-angled triangle, and the distance is its Hypotenuse, its baseline) :

distance² = (5-0)² + (-2 - y)² = 25 + 4 + 4y + y² = 29+4y+y²

but it is also

distance² = (-3-0)² + (2 - y)² = 9 + 4 - 4y + y² = 13 - 4y + y²

so, we get

29 + 4y + y² = 13 - 4y + y²

29 + 4y = 13 - 4y

16 = -8y

y = -16/8 = -2

their, the point on the y-axis being equidistant to both points is (0, -2)

Answer:

84 ft^2.

Step-by-step explanation:

Use Pythagoras to find the value of h:

25^2 = h^2 + 7^2

h^2 = (25-7)(25+7)

h^2 = 576

h = √576 = 24

Area  = 1/2 * 7 * 24

= 84.

Answer:

5/13

Step-by-step explanation:

Sin = 12/13

cos= 5/13

Tan= 12/5

Answer:

the triangles are congruent by SSS criterion

Step-by-step explanation:

Answer:

I think 5

Step-by-step explanation:

5u^2

just count the no. of squares

if they allocate sides or an area for the small square then:

sides

(side^2 • 5)

eg.  the side is equal to 2cm, then

(2^2 • 5) = 4(5)

              = 20 cm^2

allocated area for small square

square area • 5

eg. one square has an area of 4 cm^2

4 • 5 = 20 cm^2

Answer:

Equation is y = 5x - 6

Step-by-step explanation:

[tex]y = mx + c[/tex]

m is slope, and c is y-intercept:

[tex]slope = \frac{y _{2} - y _{1} }{x _{2} - x _{1} } [/tex]

(x1, y1) = (1, -1)

(x2, y2) = (0, -4)

[tex]m = \frac{ - 4 - 1}{0 - 1} \\ \\ m = 5[/tex]

for y-intercept, consider (1, -1):

[tex]y = mx + c \\ - 1 = (5 \times 1) + c \\ - 1 = 5 + c \\ c = - 6[/tex]

substitute in general equation:

[tex]y = 5x - 6[/tex]

Answer:

10

Step-by-step explanation:

Vertical angles are equal to each other

-2x + 90 = x - 30

90 + 30 = x + 2x add like terms

120 = 3x divide both sides by 3

40 = x

angle <ZD is x - 30 so the answer is 10

Answer:

A

Step-by-step explanation:

The unit price will be the slope of the line which is 8, so the unit price is $8/1 lb

Answer:

11/5

Step-by-step explanation:

f(x) = 6/x-1

f(x) = 5

6/x-1 = 5

=> 6 = 5(x-1)

=> 6 = 5x - 5

=> 11 = 5x

=> 5x = 11

=> x = 11/5

Answer:

hope this help you

have a great day

Answer:

i) The order of matrix is 2 ×3

ii)The order of matrix is 3×3

Answer:

It's true. We can write integers in fraction by giving it a denominator of 1.

Answer:

true

Step-by-step explanation:

The equation of the linear function in slope-intercept form is  [tex]f(x) = \frac{1}{2}x - 5[/tex]

The equation of a linear function can be written in the slope intercept form as:

f(x) = mx + b,

where,

m represents the slope of the linear function

b represents the point on the y-axis where the line intercepts the y-axis. (at this point, x = 0)

we need to find the value of m and b to be able to write the equation of the linear function.

Find slope (m):

From the image attached, the red line represents the rise (3 units) while the blue line represents the run (6 units).

Slope (m) = rise/run

Substitute:

Slope (m) = 3/6

m = 1/2

Find the y-intercept (b):

From the graph, the line cuts the y-axis at y = -5.

Therefore,

b = -5

Next is to substitute m = 1/2 and b = -5 into f(x) = mx + b. Thus:

[tex]f(x) = \frac{1}{2}x - 5[/tex]

The equation of the linear function is: [tex]f(x) = \frac{1}{2}x - 5[/tex]

Learn more about how to write the equation of a linear function here:

https://brainly.com/question/12184348

Answer:

17

Step-by-step explanation:

[tex] 28 - 12 + \sqrt{n} \div 2 = [/tex]

n = 4

[tex] = 28 - 12 + \sqrt{4} \div 2 [/tex]

[tex] = 16 + 2 \div 2 [/tex]

[tex] = 16 + 1 [/tex]

[tex] = 17 [/tex]

Answer:

it is 80⁰

Step-by-step explanation:

cuz the it vertical angle

and to find a just get

180-80-70

Answer:

72

Step-by-step explanation:

one angle = x

other one, 4x

they're compliment,

so,

x+4x=90

or, 5x=90

or, x=18

so the angle is 4x=4×18=72

Answer:

Step-by-step explanation:

Let the angle is x.

Supplement of x:

Complement of x:

We have:

Solve for x:

Answer:

18x-3

Step-by-step explanation:

f(x)= 3x + 10x

g(x)=5x - 3

f(x)+g(x) = 3x + 10x + 5x - 3

Combine like terms

             = 18x -3

Answer:

3^x+15x-3

Step-by-step explanation:

this is the right answer i just did it

\

Answer:

0.02

Step-by-step explanation:

either picking a green then blue;

5/22 x 1/21= 5/462

or picking a blue then green;

1/22 x 5/21= 5/462

total is 10/462 which is approximately 0.02

since there was no specific order in the question i assumed you add them both.

Answer:

Hello,

Answer D

Step-by-step explanation:

I suppose that i is the imaginary (i²=-1)

i^4=1

i^99=i^(4*24+3)=i^3

i^3-i^3=0

Answer D

Answer:  D)  0

======================================================

Explanation:

Take note of this pattern

After this point, we repeat the cycle. The cycle is 4 units long. This means we can divide the exponent over 4 and look at the remainder

99/4 = 24 remainder 3

So i^99 = i^3

which means i^99 - i^3 = i^3 - i^3 = 0

Answer:

y = (5/9)x + 2

Step-by-step explanation:

Slope intercept form is

y = mx + b then plug in the values

y = (5/9)x + 2

D.

area of triangle = 1/2 × base × height

therefore,

1/2× 9× 13= 58.5in^2

The area of the triangle with a base of 9 inches and height of 13 inches  is 58.5in^2

We have given that,9 in,16 in, and 13 in

Drawing not to scale

We have given that the triangle

area of triangle = 1/2 × base × height

therefore,

Use the given value in the formula so we get

[tex]1/2\times 9 \times 13= 58.5in^2[/tex]

Therefore the area of the triangle is 58.5in^2.

To learn more about the triangle visit:

https://brainly.com/question/17335144

#SPJ2

Answer:

When a plane intersects both nappes of a double-napped cone but does not go through the vertex of the cone, the conic section that is formed by the intersection is a curve known as hyperbola. Therefore, the answer is: Hyperbola

Answer:

Its 6

Step-by-step explanation:

Answer:

C. 4

Step-by-step explanation:

There are a total of 24 marbles. If you take out 8 of them, that leaves you with 16 marbles left. After doing that, if the chances of withdrawing a white marble are now 1/4, then there would have to be 4.

4/16 = 1/4