The figure shows a parallelogram inside a rectangle outline:

A parallelogram is shown within a rectangle. The length of the rectangle is 3 over 4 foot and the width of the rectangle is 1 over 2 foot. The two equal bases of the triangles outside the parallelogram are labeled 1 over 8 foot.

What is the area of the parallelogram? (1 point)

Select one:

a.
1 over 32 square foot


b.
5 over 16 square foot


c.
9 over 32 square foot


d.
6 over 16 square foot

Answer:

[tex] \displaystyle \: \frac{5}{4} [/tex]

Step-by-step explanation:

we are given a expression

we are said to solve it using L'Hôpital's Rule

recall, L'Hôpital's Rule:

[tex] \displaystyle \lim _{x \to \: c}( \frac{f(x)}{g(x)} ) = \lim _{x \to \: c} \frac{f ^{'}(x) }{ {g}^{'}(x) } [/tex]

it is to say the ' means derivative

our given expression:

[tex]\displaystyle\lim_{ x\to 2}\frac{x^2+x-6}{x^2-4}[/tex]

let's apply L'Hôpital's Rule

[tex]\displaystyle\lim_{ x\to 2}\frac{ \dfrac{d}{dx} (x^2+x-6)}{ \dfrac{d}{dx} (x^2-4)}[/tex]

some formulas of derivative

[tex] \displaystyle \: \frac{d}{dx} {x}^{n} = {nx}^{n - 1} [/tex]

[tex] \displaystyle \: \frac{d}{dx} {x}^{} = 1[/tex]

[tex] \displaystyle \: \frac{d}{dx} {c}^{} = 0[/tex]

[tex] \sf \displaystyle \: \frac{d}{dx} {f}^{} (x) + {g}^{}(x) = {f}^{'} (x) + {g}^{'}(x)[/tex]

use sum derivative formula to simplify:

[tex]\displaystyle\lim_{ x\to 2}\frac{ \dfrac{d}{dx} (x^2)+ \dfrac{d}{dx} (x) + \dfrac{d}{dx}( -6)}{ \dfrac{d}{dx} (x^2) + \dfrac{d}{dx} (-4)}[/tex]

simplify using exponents using exponent derivative formula:

[tex]\displaystyle\lim_{ x\to 2}\frac{ 2x+ \dfrac{d}{dx} (x) + \dfrac{d}{dx}( -6)}{ 2x + \dfrac{d}{dx} (-4)}[/tex]

use variable derivative formula to simplify variable:

[tex]\displaystyle\lim_{ x\to 2}\frac{ 2x+ 1+ \dfrac{d}{dx}( -6)}{ 2x + \dfrac{d}{dx} (-4)}[/tex]

use constant derivative formula to simplify derivative:

[tex]\displaystyle\lim_{ x\to 2}\frac{ 2x+ 1+ 0}{ 2x + 0}[/tex]

simplify addition:

[tex]\displaystyle\lim_{ x\to 2}\frac{ 2x+ 1}{ 2x }[/tex]

since we are approaching x to 2

we can substitute 2 for x

[tex]\displaystyle\lim_{ x\to 2}\frac{ 2.2+ 1}{ 2.2 }[/tex]

simplify multiplication:

[tex]\displaystyle\frac{ 4+ 1}{ 4}[/tex]

simplify addition:

[tex] \displaystyle \: \frac{5}{4} [/tex]

hence,

[tex]\displaystyle\lim_{ x\to 2}\frac{ \dfrac{d}{dx} (x^2+x-6)}{ \dfrac{d}{dx} (x^2-4)} = \frac{5}{4} [/tex]

Answer:

5/4 is your answer hope it helps

Answer:

if the cubes represent 1 unit then:

y-intercept=

blue line: 1

red line: 4

green line: 7

slope=

blue line: 1/5

red line: 5/3

green line: 5/6

Step-by-step explanation:

i hope this helps :)

Answer:

total surface area = 79.8 cm^2

Step-by-step explanation: open up the prism into nets, and it has a base of 3 and height of 2.6. do 1/2 times 3 times 2.6=3.9*2=7.8.  Then do 3(3*8)=72. 72+7.8=79.8. I believe this is the answer to the best of my ability, hope this helps.

Answer:

1/4

Step-by-step explanation:

Use PhotoMath (:

Answer:

b) 1/4

Step-by-step explanation:

Answer:

29, and 36

Step-by-step explanation:

65-7= 58

58/2= 29

29+7= 36

Answer:

29 and 36

Step-by-step explanation:

65 split in two since there are 2 people is 32.5

Since there is a 7 year difference, split 7 in half also which is 3.5

Subtract 3.5 from 32.5 to get the younger ones age and and add 3.5 to 32.5 to get the older one's age.

32.5-3.5= 29

32.5+3.5= 36

Answer:

5n^2 - 3n - 8

Step-by-step explanation:

4n.5n - 4n.8 + 4.5n - 4.8

= 20n^2 - 32n + 20n - 32

= 20n^2 - 12n - 32

= 4 ( 5n^2 - 3n - 8 )

= 5n^2 - 3n - 8 [ answer ]

Answer:

X=reference angle, 8=opposite side, and 11 is the hypoteneuse

Answer:

Solution

Step-by-step explanation:

If im wrong let me know okay!

If im wrong Im sorry Im only 15 and im working here to help

Answer:

$15 + $2 = h

Step-by-step explanation:

( h = per hour) lilly rents a bike for $15 plus $2 per hour,

Answer:

Side length of AC = 4.6

Step-by-step explanation:

sin (33°) = 2.5 / AC

AC = 25 / sin (33°)

AC = 4.59

Final answer of AC rounded to the nearest tenths is , AC = 4.6

Answer:

independent

Step-by-step explanation:

f(x+3) means that when x is x + 3, what is y? X is always the input or the independent variable while y is dependant on y.

Answer:

Dependent variable: total distance (d)

Independent variable: number of hours (h)

Equation: d = 6h

Step-by-step explanation:

In this case given, the dependent variable, total distance (d), is dependent on the independent variable, number of hours (h). This is because, a change in the value of h leads to the change in the value of d. In order words, total distance (d) is a function of the number of hours (h).

Therefore:

Dependent variable: total distance (d)

Independent variable: number of hours (h)

Rate: 6 miles/hr

Equation: d = 6h

Answer:

c. 66m

hope that helps!

Answer:

C. 66m

Step-by-step explanation:

Perimeter = 6 + 6 + 8 + 19 + 8 + 13 + 6 = 66m

Hope that helps!

Answer:

x = 72

Step-by-step explanation:

We set the two equal to each other

x = 12/y = 9 is equal to x/y = 54.

In order for 9 to get to 54, you have to multiply it by 6. Since you multiplied the denominator with 6, you have to do the same with the numerator. 12 times 6 is 72.

x = 72

Answer:

1139.2 hours

Step-by-step explanation:

6.40 x 178 = 1139.2

Answer:

57.5

Step-by-step explanation:

(180-65)/2

Answer:

Mean- 5

median- 4

Mode- 2

ahoj odpoveď je 你好，答案是

Answer:

-42

Step-by-step explanation:

8 + (-10)5 = 8-50 = -42

Answer: 20 months

explanation: You subtract 8 from 28 since 8 is the amount he had before he joined. He also said he planned on reading 1 book per month after joining the club. You want to subtract the 8 since it isn't relevant to the book club books read.

Answer:

12

Step-by-step explanation:

thats the answer,

Answer: the answer is C

Step-by-step explanation: I hope this helps a little :)

Answer:

(x - 5)(x + 9)

Step-by-step explanation:

Answer:

pls pls pls help me- I have the same question, it's a quiz that affects my grade immensely! If you get the answer please let me know. Im in 6th grade.

Step-by-step explanation:

Answer

x = 18

You're welcome

Answer:

The answer would be x=18

Answer:

270 yd³

Step-by-step explanation:

V = 2(½)bhL

V = bhL = 4.5(10)(6) = 270 = V

Answer:

RL=5x+28 and

RO=8X-11

diagonal of square bisect equally the side

:.5x+28=8x-11

11+28=8x-5x

39=3x

x=39/3=13

RY=RL=5x+28=5×13+28=93If the answer is 93, move to answer.