When three squares are joined at their vertices to form a right triangle, the combined area of the two smaller squares is the same as the area of the largest square. Which three squares will support this statement?

Answer:

The factors of 21 are 1, 3, 7 and 21. A factor is a number that can divide evenly into a given number. Because 21 can be divided by numbers other than itself and 1, it is called a composite number. Every number has 1 and itself as a factor. Numbers that have no other factors are called prime numbers.

Step-by-step explanation:

Answer:

4a). 0.52

Step-by-step explanation:

-2(-5.2) × 0.1÷2= 0.52

Answer:

a) Opposite sides are congruent and all interior angles are right angles, hence the quadrilateral is a rectangle

b) Opposite sides are parallel and all sides are congruent, hence the quadrilateral is a rhombus

c) All sides are congruent and all interior angles are right angles, hence the quadrilateral is a square

d) m∠AEB = 90° as the diagonals are perpendicular to each other

e) m∠EAD = 90°/2 = 45° as the diagonals of a square are bisectors of the angles at the vertices

Answer: x=6

Step-by-step explanation:

Answer:

x = -6

Step-by-step explanation:

Subtract 3x from both sides to get -7=5x+23.

Subtract 23 from both sides to get -30=5x.

Divide 5 from both sides.

x = -6.

Answer:

I chose a box of cereal-------> rectangular prism

see the attached figure

Part 1)List the dimensions of your box. Be sure to include the units (in, cm, ft, etc.).

Length: 20 cm

Width: 8 cm

Height: 32 cm

Part 2).

Describe the shape of the cross-section when the box is cut parallel to the base

the shape of the cross-section would be a rectangle of dimensions

20 cm x 8 cm

Part 3)

What is the surface area of the box?

surface area=2*area of the base+perimeter of the base*height

area of the base=20*8=160 cm²

perimeter of the base=2*[20+8]-----> 56 cm

height=32 cm

surface area=2*160+56*32------> 2,112 cm²

the answer part 3) is

2,112 cm²

Part 4)

What is the surface area of the box if it is scaled up by a factor of 10?

we know that

surface area of the larger box=[scale factor]²*surface area original box

scale factor=10

surface area original box=2,112 cm²

so

surface area of the larger box=10²*2,112-----> 211,200 cm²

the answer part 4) is

211,200 cm²

Part 5)

What is the volume of the box?

volume of the box=L*W*H-----> 20*8*32------> 5,120 cm³

the answer Part 5) is

5,120 cm³

Part 6)

What is the volume of the box if it is scaled down by a factor of 1/10

we know that

volume of the smaller box=[scale factor]³*volume original box

scale factor=1/10

volume original box=5,120 cm³

so

volume of the smaller box=[1/10]³*5,120-----> 5.12 cm³

the answer part 6) is

5.12 cm³

Step-by-step explanation:

Answer:

y=(-7/2)x+3

Step-by-step explanation:

7x+2y-3=0

7x+2y=3

2y=-7x+3

y=(-7/2)x+3

Answer:

y = - [tex]\frac{7}{2}[/tex] x + [tex]\frac{3}{2}[/tex]

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c

Given

7x + 2y - 3 = 0 ( subtract 7x - 3 from both sides )

2y = - 7x + 3 ( divide each term by 2 )

y = - [tex]\frac{7}{2}[/tex] x + [tex]\frac{3}{2}[/tex] ← in slope- intercept form

Answer: 35

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

I think the answer is B

sorry if I am wrong

Answer:

(-4.5, 1.5)

Step-by-step explanation:

Answer:

0 is not in domain

5 is not in domain

10 is in domain

Step-by-step explanation:

10 is in domain because inputting 10 into the function gives an output of 0

0 is not in th domain because 0 gives us the square root of a negative number, and the quare of a negative number isnt a real number

5 is not in the domain for the same reason

Answer:

Both packages are 3.5 lb.

The equation is 7 / 2

Step-by-step explanation:

All you have to do is divide 7 by 2.

7 / 2 = 3.5

3.5 * 2 = 7

So, the answer is 3.5

Hope this helps! :)

Answer:

z equals 13 yeeeeeeeeetttttttttttttt I hopppppeeeee thhhhhaaaaatttttt heeeeelllllllpppppppsssssss

Step-by-step explanation:

A=a+b

2h=13+10

2×18=207

formula a=a+b/2×18

Answer:

$1.35 will be your answer

Step-by-step explanation:

18 x 0.075 = 1.35

Answer:

[tex]1.35[/tex]

Step-by-step explanation:

7.5% of 18$ is 1.35.

It would make no sense if the tax cost more than the actual item.

Answer:

8a. 0 8b. -1/3

Step-by-step explanation:

slope formula: [tex]\frac{y_{2} - y_{1}}{x_{2} - x{1}}[/tex]

8a. => (8 + 12)/(17 - 17) = 20/0 = 0

8b. (1 + 2)/(-3 - 6) = 3/-9 = - 1/3

Answer:

8a: 0 8b: -1/3

Step-by-step explanation:

slope is y2-y1/x2-x1

8a: 8+12/0=0

8b: 1+2/-3-6=3/-9=-1/3

Answer: x=54

Step-by-step explanation:

Answer:

Step-by-step explanation:

Step-by-step explanation:

do u have a picture? its mixed up

Answer:

 2x • (2x2 + 1) • (5x - 3)

Step-by-step explanation:

5.4    Find roots (zeroes) of :       F(x) = 2x2 + 1

Polynomial Roots Calculator is a set of methods aimed at finding values of  x  for which   F(x)=0  

Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers  x  which can be expressed as the quotient of two integers

The Rational Root Theorem states that if a polynomial zeroes for a rational number  P/Q   then  P  is a factor of the Trailing Constant and  Q  is a factor of the Leading Coefficient

In this case, the Leading Coefficient is  2  and the Trailing Constant is  1.

The factor(s) are:

of the Leading Coefficient :  1,2

of the Trailing Constant :  1

Final result :

 2x • (2x2 + 1) • (5x - 3)

Answer: The relationship is proportional.

Step-by-step explanation: Because the baby sitters work corresponds to their hourly pay. (I think)

Answer:

D: {0 ≤ x ≤ 6.25}

Step-by-step explanation:

6.25 is an approximation

Answer:

d) [tex](9*3/4)+y[/tex]

Step-by-step explanation:

b) [tex]9+y*(3/4)[/tex]

This expression is not equivalent, as the original expression, [tex]y+9*\frac{3}{4}[/tex] , has 9 multiplied to [tex]\frac{3}{4}[/tex] instead of y. You can interchange values like this when it comes to addition, but not multiplication.

c) [tex](y+9)(3/4)[/tex]

This expression is also not equivalent. After opening up the parentheses, it would again result in y being multiplied to [tex]\frac{3}{4}[/tex].

[tex](y+9)(3/4)\\= y(3/4)+9(3/4)[/tex]

d) [tex](9*3/4)+y[/tex]

This expression is equivalent, as 9 and [tex]\frac{3}{4}[/tex] are still being multiplied together and y is added to the product. We can actually rearrange this to look like the original expression:

[tex](9*3/4)+y\\=y+(9*3/4)\\=y+(9*\frac{3}{4} )\\=y+9*\frac{3}{4}[/tex]

I hope this helps!

Answer:

THE ANSWER HAS TO BE 6/10

Step-by-step explanation:

Answer:

So the next time they will leave together is 4:24 pm

Step-by-step explanation:

Since both the buses left at 4 pm and red line bus leaves every 6minutes and blue line bus leaves every 8 minutes they next time they leave together can be found by taking the L.C. M of 6 and 8.

The L.C. M is found by multiplying all the factors and chosing one which common in both numbers.

Factors of 6 = 2*3

Factors of 8= 2*2*2

In these numbers 2 is common in both.The rest of the numbers( 2*2*3 )are multiplied with the the common 2 to get the L.C.M

L.C.M= 2*2*2*3= 24 minutes

So the next time they will leave together is 4:24 pm

Answer:

f(0) = 0 and f(−2) = f(2)

Step-by-step explanation:

Given: the function f defined by f(x) = 3x²

f(0) = 3(0)²

f(0) = 0

f(-2) = 3(-2)²

f(-2) = 3(4)

f(-2) = 12

f(2) = 3(2)²

f(2) = 3(4)

f(2) = 12

Hence f(-2) = f(2)

Therefore the correct options are  f(0) = 0 and f(−2) = f(2)

Answer: B

Step-by-step explanation:

Answer:

the answer to this is

14 + 6√5