Rhombus ABCD has vertices A(-1, -2), B(2,2), C(6,5), and D(3,1). The perimeter of the rhombus is

[tex]8 - 4( {3}^{3} ) + 11 \\ 8 - 4(27) + 11 \\ 8 - 108 + 11 \\ 8 - 97 \\ - 89[/tex]

Answer:

Step-by-step explanation:

Although you can start with 4x^2-2x-4=0, it's just slightly easier to reduce the coefficients.  4x^2-2x-4=0 becomes 2x^2 - x - 2 = 0.

The discriminant (part of the quadratic formula) is b^2 - 4ac.  Using b = -1. a = 1 and c = -2, we get (-1)^2 - 4(2)(-2), or 17.

                                                       -b ± √(b^2 - 4ac)

Then the quadratic formula   x = ---------------------------

                                                                 2a

                                         -(-1) ± √17           1 ± √17

takes on the values  x = -----------------  =  ---------------

                                                  4                      4

Given:

A line passes through the points (1,-7) and (5,-25).

To find:

The y-intercept of the line.

Solution:

The line passes through the points (1-7) and (5-25). So, the equation of the line is

[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]

[tex]y-(-7)=\dfrac{-25-(-7)}{5-1}(x-1)[/tex]

[tex]y+7=\dfrac{-25+7}{4}(x-1)[/tex]

[tex]y+7=\dfrac{-18}{4}(x-1)[/tex]

[tex]y+7=-4.5(x-1)[/tex]

Subtracting 7 from both sides, we get

[tex]y=-4.5x+4.5-7[/tex]

[tex]y=-4.5x-2.5[/tex]

Putting x=0, we get

[tex]y=-4.5(0)-2.5[/tex]

[tex]y=0-2.5[/tex]

[tex]y=-2.5[/tex]

Therefore, the y-intercept of the given line is -2.5 and the vertex form of (0,-2.5).

probably 1 and 2, I'm only in 6th grade tho so I forgot (love the pfp btw)

Answer:

See below

Step-by-step explanation:

Problem 1

If n is the smallest of the consecutive integers, the next integer would be n+1.

Problem 2

The equation is terms of n is going to be

s = n + n + 1 + n + 2 + n+3

Problem 3

Collect like terms on the right

s = 4n + 6

Problem 4

4n + 6 = s             Subtract 6 from both sides

4n = s - 6              Divide by 4

n = (s - 6)/4

Problem 5

Solve for n when s = 2174

n = (2174 - 6)/4

n = 2168 / 4

n = 542

check

n                 = 542

n + 1            = 543

n + 2           = 544

n + 3          = 545

Total            2174         Just as it should

Answer:

-6x - 3h

Step-by-step explanation:

Write as a function.

[tex]f(x)=-3x^{2}+3[/tex]

Consider the difference quotient formula.

[tex]\frac{f(x+h)-f(x)}{h}[/tex]

Find the components of the definition.

[tex]f(x+h)=-3h^{2}-6hx-3x^{2}+3\\f(x)=-3x^{2}+3[/tex]

Plug in the components.

[tex]\frac{f(x+h)-f(x)}{h}=\frac{f(x+h)=-3h^{2}-6hx-3x^{2}+3}{h}[/tex]

Simplify

[tex]\frac{3h(-h-2x)}{h}[/tex]

-6x - 3h

good luck, i hope this helps :)

Answer: 12 adult tickets where sold

Step-by-step explanation:

Answer:

a. (x+5)^2 = 49

b. (x+7)^2 = (x+1)^2

Step-by-step explanation:

So the term "a number" is always going to be x. input x into the sentences. "X plus five, then squared, is forty-nine". when they do "is __", that means equal to. In the second question, seven more than x is x + 7 (the two numbers are interchangeable here). Equivalent also means equal. hope this helped :)

Answer:

a: x + 5^2 = 49

b: 7>x^2=(put three lines not two) (1>x)^2

Step-by-step explanation:

Answer:  $12.80

Step-by-step explanation:

:)

Answer:

$12.80 donated money if she bikes 8 miles. solved by finding out how much money she'll get in a mile add .80+.80 and get $1.60. this is way easier to set up equation instead if doing it by half mile. equation is y=1.6(x) // y is money donated, x is $1.60

Answer:

9000

Step-by-step explanation:

Answer:

6236.78454 or 6236.78

Step-by-step explanation:

Use formula A=P(1+r)^t

A=3000(1+0.05)^180/12

*convert 15 years to moths* 180 months

A=3000(1.05)^180/12

A=3000(2.07892818 )

A=6236.78454 or 6236.78

Hope this helps ^-^

Step-by-step explanation:

7:9 I'm pretty sure that's it

Answer:

what is the question

Step-by-step explanation:

Answer:

a) $15

solving this realistically no fast food place would be above 50 or below 5 (unless is a discount thing)

Answer:

The rock has a volume of 26

Step-by-step explanation:

499 - 473 = 26

The rock displaced the water by its volumes

Really? Here we go...

0, 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48

and

0, 5, 10, 15, 20, 25, 30, 35, 40, 45, 50

or if you wanted conjuction

0, 20, 40

Answer:

Step-by-step explanation:

4: 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48

5: 5, 10, 15, 20, 25, 30, 35, 40, 45, 50

The same factors are bolded

Answer:

A = 15

Step-by-step explanation:

A = [tex]\frac{a+b}{2}h[/tex]

A = (3 + 7 ÷ 2) ÷ 3

A = 15

good luck, i hope this helps :)

Answer:

900

Step-by-step explanation:

6+24=30

30^2=900

Answer:

900

Step-by-step explanation:

(a+b)^2

(6+24)^2

30^2= 900

Answer:

18

Step-by-step explanation:

2(6) + 2(3)

12 + 6 = 18

The perimeter of the rectangle having a length of 6 units and a width of 3 units is 18 units.

The area of a rectangle is the product of its length and width.

The perimeter of a rectangle is the sum of the lengths of all the sides.

Given, The perimeter of a rectangle can be found using the expression

2l + 2w.

Also given that, the length is 6 units and the width is 3 units.

Therefore, The perimeter of this rectangle is,

= 2(6) + 2(3) units.

= 12 + 6 units.

= 18 units.

learn more about rectangles here :

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Answer:

0.03

Step-by-step explanation:

1/2x 1/2 x 13/52 x 3/6

39/1248 = 0.031 or 3%

Answer:

0.03

Step-by-step explanation:

Answer:

parabola

Step-by-step explanation:

The path followed by a ball can be modeled by a graph.

Throwing a ball is a parabola or quadratic graph.

When a ball is thrown, the path it follows can be represented by:

[tex]\mathbf{f(x) = ax^2 + bx + c}[/tex]

or

[tex]\mathbf{f(x) = a(x - h)^2 + k}[/tex]

The above equations are functions of a parabola or quadratic graph.

Hence, throwing a ball is a parabola or quadratic graph.

Read more about graphs at:

https://brainly.com/question/9915751

Answer:

Length of ladder (hypotenuse) = 13 ft

Step-by-step explanation:

Given:

Length of base (base) = 5 ft

Length of ladder (hypotenuse) = a

Distance between ground and ladder top (perpendicular) = a - 1

Find:

Length of ladder

Computation:

a² = 5² + (a-1)²

a² = 25 + a² - 2a + 1

2a = 26

Length of ladder (hypotenuse) = 13 ft

please follow me

Answer:

10 seconds

Step-by-step explanation:

The function is

[tex]h(t)=-16t^2+\text{Initial height}[/tex]

Initial height = 1600 ft

t = Time taken

[tex]0=-16t^2+1600[/tex]

[tex]\Rightarrow -16t^2=-1600[/tex]

[tex]\Rightarrow t^2=\dfrac{1600}{16}[/tex]

[tex]\Rightarrow t^2=100\\\Rightarrow t=\pm 10[/tex]

So, time taken by the hailstone to reach the ground is [tex]10\ \text{seconds}[/tex].

Answer:

10 seconds

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

Answer:

the answer is 10

Step-by-step explanation:

a^2 + b^2 = c^2

6^2 + 8^2 = c^2

36 + 64 = c^2

100 = c^2

Square root of 100 is 10 so the answer is 10

please mark brainliest for answer and work...

THANKS

Answer:

4 hours 25 minutes

Step-by-step explanation:

subtract 1.35 from 6.00 and recall that 60 minutes make one hour. = 6.00 - 1.35. = 4.25

Answer:

The answer to this equation would be -19

Hope this helps!

Answer:

-19

Step-by-step explanation:

Answer:

Step-by-step explanation:

312,8/(34/100)

=920,00000

This is the answer

100% = 920

Can i be brainliest have a nice day

The value of x rounded to the nearest whole number is 920.

A percentage is a way to describe a part of a whole such as the fraction ¼ can be described as 0.25 which is equal to 25%.

To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.

Given that the number 312.8 is 34% of x.

Thus, we can write,

34% of x = 312.8

(34/100) × x = 312.8

Now, Multiply both the sides of the equation by 100,

(34/100) × x × 100 = 312.8 × 100

Now, Divide both the sides of the equation by 34,

[(34/100) × x × 100] ÷ 34 = (312.8 × 100) ÷ 38

x = (312.8 × 100)/34

x = 920

Therefore, the value of x rounded to the nearest whole number is 920.

Learn more about Percentages here:

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