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Answer:

48 units

Step-by-step explanation:

The length of line segment DB is 48 units

Parallelograms are shapes with opposite parallel sides

Start by calculating the measure of t using:

AE = CE --- the diagonals

So, we have

3t - 14 = t + 2

Collect like terms

3t - t = 14 + 2

Evaluate

t = 8

The length of segment DB is calculated as;

DB = 2 * DE

So, we have:

DB = 2 * (2t + 8)

Substitute 8 for t

DB = 2 * (2* 8 + 8)

Evaluate

DB = 48

Hence, the length of line segment DB is 48 units

Read more about parallelograms at:

https://brainly.com/question/2834871

Answer:

where the graphs?

Step-by-step explanation:

Answer:

b There is No Solution for this system

Step-by-step explanation:

When graphing out equations, the two equations have to intersect at one point to have a solution. If they are parallel, it means that they will never intersect at one point and thus there is no solution for the system. A pair of lines would only have infinitely many solutions when both lines are at the same position travelling in the same direction, overlapping each other.

Answer:

199 [tex]cm^{2}[/tex]

Step-by-step explanation:

Answer:

58 CM

Step by Step explanation.

Answer:

-1

Step-by-step explanation:

Simplify both sides: 3x + (2(x) + 2(-9)) = 8x + x -14

Add/Combine like terms: 3x+2x= (5x-18) = (9x-14)

New Equation: 5x-18 = 9x-14

add 14 to both sides: 5x-4 = 9x

Subtract 5x from both sides: -4 = 4x

Divide both sides by 4 to get: -1 = x

Answer: x = -1

ANSWER: D

30.16=17.56+5x

30.16-17.56=5x

12.6=5x

x=12.6/5

x=2.52

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Answer:

thx

Step-by-step explanation:

Answer:

The first one

Step-by-step explanation:

A direct variation is when x and y are multiplied or divided by the same number. For example, in the first one y is always 8 times x. But, in the 2nd 3rd and 4th one that is not the case.

Hope this Helps!!! :)

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Answer:

60 cups

Step-by-step explanation:

Mrs. Jackson bought 4 gallons of juice for a party. Each gallon has 16 cups.

From the above question:

1 gallon of juice = 16 cups

Then:

4 gallons of juice = c

Cross Multiply

1 × c = 4 × 16 cups

c = 64 cups of juice

Hence, 4 gallons of juice = 64 cups of juice

We are told that :

After the party, 4 cups of juice were left over.

The cups of juice people drank at the party is calculated as:

Total cups of juice - Number of cups of juice left over.

64 cups of juice - 4 cups of juice

= 60 cups of juice

Answer:

[tex]x^{2}[/tex] - x - 24 = 0

a = 1

b = 1

c = -24

Step-by-step explanation:

(x + 4)(x - 5) = 4

x(x - 5) = [tex]x^{2}[/tex] - 5x

4(x - 5) = 4x - 20

[tex]x^{2}[/tex] - 5x + 4x - 20 = 4

[tex]x^{2}[/tex] - x - 20 = 4

[tex]x^{2}[/tex] - x - 20 - 4 = 0

[tex]x^{2}[/tex] - x - 24 = 0

a = 1

b = 1

c = -24

Answer:

the following points: (6,-1),(2,-4), and (-2,3)

Step-by-step explanation:

imagine that the y axis is a mirror. Everything that happens is reflected. So (1,2) becomes (-1,2) so your three points are (-6, -1),(-2,-4), and (2,3) when you reflect them, you get the following points: (6,-1),(2,-4), and (-2,3)

Answer:

The answer is the 3rd one or C

hope this helps:)

Step-by-step explanation:

Answer:

[tex]y = (x +1)^2 - 1[/tex]

Step-by-step explanation:

Given

[tex]Vertex = (-1,-1)[/tex]

Required

Determine the equation

The equation of a graph from a vertex is:

[tex]y = a(x - h)^2 + k[/tex]

Where

[tex]a = 1[/tex]

[tex](h,k) = (-1,-1)[/tex]

Substitute these values in [tex]y = a(x - h)^2 + k[/tex]

[tex]y = 1(x - (-1))^2 + (-1)[/tex]

Express -(-1) as 1

[tex]y = 1(x +1)^2 + (-1)[/tex]

Express +(-1) as -1

[tex]y = 1(x +1)^2 - 1[/tex]

[tex]y = (x +1)^2 - 1[/tex]

Hence, the equation is:

[tex]y = (x +1)^2 - 1[/tex]

Answer:

x = 5

Step-by-step explanation:

3x + 2(2x − 1)= 33

simplify

3x + 4x - 2 = 33

7x - 2 = 33

add 2 to both sides

7x - 2 + 2 = 33 + 2

7x = 35

divide both sides by 7

7x/7 = 35/7

x = 5

Question:

Each week, Tasha saves 80% of the money she earns babysitting and spends the rest. This week she earned $80.00.

How much more money did she save than spend this week?

Answer:

none. i better be right or else im  jumping off my roof

Answer:

3n - 4 = -19,    n = -5

Step-by-step explanation:

Primero tienes que sumar cuatro a ambos lados y obtener tres veces n es igual a menos quince. Luego, divide tres en ambos lados para obtener n es igual a -5

9514 1404 393

Answer:

  (a) 2, 6

  (b) 155/8, -155, 8x² -155x -1 = 0

Step-by-step explanation:

(a) The equation in standard form is ...

  x^2 -(4+k)x +4k +1 = 0

Then the discriminant is ...

  (4+k)^2 -4(1)(4k+1) = 4^2 +8k +k^2 -16k -4 = k^2 -8k +12 = (k -2)(k -6)

The roots are equal when the discriminant is zero. The values of k that make the discriminant be zero are k=2 and k=6.

__

(b) a^3 + b^3 = (a +b)(a^2 -ab +b^2) = (a+b)((a+b)^2 -3ab)

  = (5/2)((5/2)^2 -3(-1/2)) = (5/2)(25/4 +3/2) = 155/8 = α³ +β³

  1/a^3 +1/b^3 = (a^3 +b^3)/(ab)^3 = (155/8)/(-1/2)^3 = -155 = 1/α³ +1/β³

The desired equation can be written from ...

  (x -a^3)(x -b^3) = 0

  x^2 -(a^3 +b^3)x +(ab)^3 = 0

  x^2 -155/8x -1/8 = 0 . . . . .substituting known values

  8x^2 -155x -1 = 0

The area of the rhombus will be 96 square units. Then the correct option is B.

The missing diagram is attached below.

Let a be the length and h be the height of the rhombus.

Then the area will be

Area = a × h square units

If x = 12 units, y = 4 units, and h = 8 units.

Then the area of the rhombus will be

A = 12 × 8

A = 96 square units.

Then the correct option is B.

More about the area of the rhombus link is given below.

https://brainly.com/question/15458057

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Answer:

96

Step-by-step explanation:

Note: Consider the expression is [tex](4+\sqrt{2})(6-\sqrt{2})[/tex].

Given:

[tex](4+\sqrt{2})(6-\sqrt{2})[/tex]

To find:

The value of given expression in the form of [tex]b+c\sqrt{2}[/tex].

Solution:

We have,

[tex](4+\sqrt{2})(6-\sqrt{2})[/tex]

Using distributive property, we get

[tex]=4(6-\sqrt{2})+\sqrt{2}(6-\sqrt{2})[/tex]

[tex]=4(6)+4(-\sqrt{2})+\sqrt{2}(6)+\sqrt{2}(-\sqrt{2})[/tex]

[tex]=24-4\sqrt{2}+6\sqrt{2}-2[/tex]

On combining like terms, we get

[tex]=(24-2)+(6\sqrt{2}-4\sqrt{2})[/tex]

[tex]=22+2\sqrt{2}[/tex]

On comparing with [tex]b+c\sqrt{2}[/tex], we get

[tex]a=22,b=2[/tex]

Therefore, the required form is [tex]22+2\sqrt{2}[/tex].

Answer:

The length is 12 cm, and the width is 9 cm.

Step-by-step explanation:

The length and width of a rectangle as legs form a right triangle with the diagonal of the triangle as the hypotenuse.

We can use the Pythagorean theorem to write an equation.

Let the width = w = leg a

The length = w + 3 = leg b

The diagonal = the hypotenuse = 12 = c

a^2 + b^2 = c^2

w^2 + (w + 3)^2 = 15^2

w^2 + w^2 + 6w + 9 = 225

2w^2 + 6w - 216 = 0

w^2 + 3w - 108 = 0

(w + 12)(w - 9) = 0

w + 12 = 0   or   w - 9 = 0

w = -12   or   w = 9

Since a width cannot be a negative number, we discard the solution w = -12.

width = w = 9

length = w + 3 = 9 + 3 = 12

Answer: The length is 12 cm, and the width is 9 cm.

Answer:

25%

Step-by-step explanation:

the formula is:

1-(new price/old price), which =

1-(45/60)=

1-3/4=

4/4-3/4=

1/4=

.25 or 25%

Hope this helps! :)

Answer:

slope -2

y int (0, 4)

Step-by-step explanation:

1, 2, 4, 8, 21, 27

4+8= 12

12÷2= 6

Answer:

6