Davina uses a diagram to demonstrate the Pythagorean Theorem.
3
hypotenuse
How are the squares related to the sides of the triangle?
The area of each square is equal to the square of the length of the side to which it is adjacent.
The area of each square is equal to the length of the side to which it is adjacent.
The sum of the areas of the squares is equal to the square of the perimeter of the triangle.
The perimeter of each square is twice the length of the side of the triangle squared.

Answer:

Step-by-step explanation:

Equation of a parabola with vertex (h, k) is given by,

y - k = a(x - h)²

Equation of a function 'f' with vertex (0, 3) will be,

y - 3 = a(x - 0)²

y - 3 = ax²

Since, graph of this function passes through (1, 4),

4 - 3 = a(1)²

a = 1

Therefore, equation will be,

y - 3 = (x - 0)²

f(x) = x² + 3

Equation of function 'g' with vertex at (0, -3) will be,

y - (-3) = a(x - 0)²

y + 3 = ax²

y = ax² - 3

Since, the graph passes through (1, -1),

-1 = a(1)² - 3

a = 2

Therefore, equation will be,

y = 2x²- 3

g(x) = 2x² - 3

Equation of the function 'j' with the vertex (0, -3) will be,

y - (-3) = a(x - 0)²

y + 3 = ax²

y = ax²- 3

Since, the graph of the function passes through (1, -5),

-5 = a(1)² - 3

a = -2

Therefore, function 'j' will be,

j(x) = -2x² - 3

Equation of the function 'h' with the vertex (0, -3) will be,

y - (-3) = a(x - 0)²

y + 3 = ax²

y = ax² - 3

Since, the graph of the function passes through (2, 1)

1 + 3 = a(2)²

4 = 4a

a = 1

Therefore, equation of the function 'h' will be,

h(x) = x² - 3

Answer:

22 degrees

Step-by-step explanation:

Corresponding angles in similar triangles are equal

So the corresponding angle would be 22 degrees

Answer:

Factors of 1458 are 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486, 729, 1458. There are 14 integers that are factors of 1458. The biggest factor of 1458 is 1458. Positive integers that divides 1458 without a remainder are listed below.

Answer:

13

Step-by-step explanation:

7 cm +1 cm +2cm +2cm :12cm

Step-by-step explanation:

Multiply each equation by a suitable number so that the two equations have the same leading coefficient. Step 2: Subtract the second equation from the first. Step 3: Solve this new equation for y. Step 4: Substitute y = 2 into either Equation 1 or Equation 2 above and solve for x.

Answer:

(2, -6)

Step-by-step explanation:

u = (5, 0)

v = (-2, -1)

w = (-6, 6)

(5, 0) + 3(-2, -1) - 1/2(-6, 6)

= (5, 0) + (-6, -3) + (3, -3)

= (2, -6)

Answer:

2nd option

Step-by-step explanation:

If f(x) is an even function , then

f(x) = f(- x)

f(x) = x² - x + 8

f(- x) = (- x)² - (- x) + 8 = x² + x + 8

Since f(x) ≠ f(- x) then f(x) is not an even function

Answer:

r= x + 3

Step-by-step explanation:

They share the same y intercept so we can know the vertical shift up. The Y intercept of line z would be 3, so line r would share the intercept too. From this we can find that the slope would be one since moving one unit to the right also makes the equation go 1 unit up, from (0,3) to (1,4). This would mean that the equation of line r is r= x + 3

answer is 6.3

I've had this question before

Answer:

C ) 4 x + 8

Step-by-step explanation:

( 24 x + 48 ) / 6

4 x + 48

The length of a regular hexagon is:

4x ₊ 8

How many sides do a hexagon have? How do we calculate the length and parameter of it?

A regular hexagon have six sides.

The area of a regular hexagon can be calculated using the formula (33 s2)/2, where s is the side length. The lengths of all six sides of a hexagon can be added to determine its perimeter. Perimeter = 6 s, where s is the length of one side, is the formula used to determine the size of a regular hexagon.

Solution:

Given,

parameter of a hexagon = 24x ₊ 48

length of one side of a hexagon s = p ÷ 6

                                                  s = 24x ₊ 48 ÷6

                                                  s = 4x ₊ 8

Hence we get the length of one side as 4x ₊ 8

Learn more about "shapes" here-

brainly.com/question/25965491

#SPJ2

Answer:

D. {1}

Step-by-step explanation:

F(x)=3x−1

Let F(x) =2

2 = 3x-1

Add 1 to each side

2+1 = 3x-1+1

3 =3x

Divide by 3

3/3 = 3x/3

1 =x

Answer:

(0,1)

Step-by-step explanation:

f(x) = (1/2)^x

To find the y intercept, let x = 0

f(x) = (1/2) ^0

f(x) = 1

(0,1)

Answer:

x=80

Step-by-step explanation:

The base angles have to be the same since the sides are both 14

The sum of the angles of triangle is 180

50+50+x = 180

100+x= 180

x = 180-100

x= 80

Answer:

The answer is (A)

Step-by-step explanation:

Answer:

1350m

Step-by-step explanation:

Let the distance ran by Denise, Farah and Elaine be D, F and E meters respectively.

From the given information,

D= ⅔(E +F) -----(1)

E= ½(D +F) -----(2)

Let's get rid of the fraction so the equations are much easier to work with.

From (1):

3D= 2(E +F) (Multiply both sides by 3)

3D= 2E +2F -----(3) (Expand)

From (2):

2E= D +F -----(4)

Substitute (4) into (3):

3D= D +F +2F

3D -D= 3F

2D= 3F

Given that Farah ran 360m, F= 360.

2D= 3(360)

2D= 1080

D= 1080 ÷2

D= 540

2E= D +F

2E= 540 +360

2E= 900

E= 900 ÷2

E= 450

Total distance the 3 girls ran

= D +F +E

= 540 +360 +450

= 1350m

Alternatively, you could start by substituting F= 360 to equations (1) and (2).

Answer:

Plug x-7 in for y, in the bottom equation.

x - 7 = 2 + 2x - 4

x - 7 = 2x - 2

x = 2x + 5

-x = 5

x = -5

Answer:

a) 390

b)108

I hope this answer was helpfull for you

Answer:

the two points are (-3,-3

Step-by-step explanation:

You must first check if the line is a straight line two the you check the intersection of the two points and the write it

Answer:

Similarly: yes

Similarly Statement: LMNO ≈ ZWXY

Scale factor: 2/7

Answered by GAUTHMATH

Answer:

X = (P^2 - 9) ^ 1/2

Step-by-step explanation:

P^2 = (4 - 1)^2+ (0 -X)^1/2

Answer:

x-15

y 42

Step-by-step explanation:

Answer:

[tex]10 \times 3.5 = 22x[/tex]

Step-by-step explanation:

It is given that:

Parker wishes to construct a [tex]\text{playhouse}[/tex] for his sister. The width and the height of the house is not scaled to the yard space.

So the width of the play house = 22 centimeters

The height of the play house = 10 centimeters

Bu the space in the [tex]\text{yard is large}[/tex] enough that a play house can be constructed so that it have a width of [tex]3.5[/tex] meters.

So the cross multiplication of the proportion that parker uses to find the height of the playhouse is given by : [tex]10 \times 3.5 = 22x[/tex]

Answer:

The answer is C, (10) (3.5) = 22 x

Hope this helped!

P. S. : Can I get brainliest please?

Answer:

$0.05/year

Step-by-step explanation:

Number of years:

2006 - 2004 = 2

From 2004 to 2006 it's 2 years.

Difference in prices:

$1.35 - $1.25 = $0.10

Average change of price per year:

$0.10 / 2 years = $0.05/year

Answer:

x=18

Step-by-step explanation:

Vertical angles are congruent. This means that they are equal to each other. So, to solve set them equal to each other and isolate x. First, set up the equation. Then, subtract x from both sides. Finally, add 11 to both sides and simplify.

1) [tex]2x-11=x+7[/tex]

2) [tex]x-11=7[/tex]

3)[tex]x=18[/tex]

Answer:

add 3, add 5, add 3

Step-by-step explanation:

1, 4, 9, 12

add 3, add 5, add 3

Answer:

x^2

Step-by-step explanation:

1^2 = 1

2^2 = 4

3^2 = 9

4^2 = 16

And so on.

So, the rule is x^2.

it's easy look at the example for reference

Answer:

-9

Step-by-step explanation:

11+15u=-7+13u

or, 15u-13u = -7-11

or, 2u = -18

or, u = -9

Answered by GAUTHMATH

Answer: The answer is already there

Step-by-step explanation:

Answer:

b) 78.5

Step-by-step explanation:

distance you will move = circumference of wheel = πd = π(25) = 78.53981

Answer:

30

Step-by-step explanation:

90 = 2 × 3^2 × 5

210 = 2 × 3 × 5 × 7

HCF = 2 × 3  × 5 = 30