The length of a square is 3x - 4 units. Find the area in terms of x.

area of triangle = W × B

area of a triangle is = 552/8

552/8 = 37/4 × W

552/8 = 37W/4

8•37W = 4•552

296W = 2208

W = 7.5

width : 7.5 feet

Explanation:

area of rectangle : Length * Width

Given,

solve:

[tex]\rightarrow \sf 69\dfrac{3}{8} = 9\dfrac{1}{4} * Width[/tex]

[tex]\rightarrow \sf \dfrac{69.375}{9.25} = width[/tex]

[tex]\rightarrow \sf width = 7.5[/tex]

a = 2, b = -18, c = 40

[tex]Given:\ Polynomial\ f(x)=ax^2+bx+c\ has\ zoroes\ 4\ aud\ 5[/tex]

[tex]and\ f(-1)=60[/tex]

[tex]Tofind:\ a,\ b,\ c[/tex]

[tex]Solution:\ As\ 4\ and\ 5\ are\ zeroes\ so\ f(4)=f(5)=0[/tex]

[tex]f(4)=a(4)^2+b(4)+c=0\Rightarrow16a+4b+c=0-(1)[/tex]

[tex]f(5)=a(5)^2+b(5)+c=0\Rightarrow25a+5b+c=0[/tex]

[tex]f(-1)=a(-1)^2+b(-1)+c=60\Rightarrowa-b+c=60-(3)[/tex]

[tex]subtracting\ (1)\ from\ (2)[/tex]

[tex]25a+5b+c-(16a+4b+c)=0\Rightarrow9a+b=0\Rightarrowb=-9a[/tex]

[tex]subtracting\ (3)\ from(2):[/tex]

[tex]25a+5b+c-(a-b+c)=0-60\Rightarrow24a+6b=-60[/tex]

[tex]putting\ b=-9a[/tex]

[tex]24a+6(-9a)=-60\Rightarrow24a-54a=-60\Rightarrow-30a=-60[/tex]

[tex]a=\frac{-60}{-30}=2[/tex] [tex]\Rightarrow[/tex] [tex]a=2[/tex]

[tex]b=-9a=-9\times2=-18[/tex]

[tex]c=-a+b\neq60=-2-18+60=-20+60=40[/tex]

I hope this helps you

:)

Answer:

849in 2

Step-by-step explanation:

sally needs to wrap a birthday gift.

the surface area of the gift is 894 in 2.

the formula for surface area of a rectangular prism is S = 2(lw + lh + wh).

to use the formula . i added (lw + lh+ wh) then multiplied it by 2 . so sally will need 894in2 of wrapping paper for the gift.

Answer:

512√3 - 320√15 + 16√6

Step-by-step explanation:

4^3√192 simplified is 64√192. This can be simplified even further to 512√3. 4^3√375 simplified is 64√375, which is 320√15. 2^3√24 simplified is 8√24, which is 16√6. Therefore the answer is 512√3 - 320√15 + 16√6.

Answer:

5.83

Step-by-step explanation:

9 / 7.50 = 0.833(repeating)

8.33(repeating) * 7 = 5.833(repeating)

Simplify 5.833(repeating)

Answer:

5.83

Step-by-step explanation:

Answer:

It is C

Step-by-step explanation:

Reflection in X axis

Reflecting over the x axis, the x values remain the same and the y values become opposite.

answer: c. (X,y) becomes (x,-y)

The first group of three wolves can be formed in 28 ways.

We have been given that Nine wolves, eight female and one male, are to be released into the wild three at a time.

What is the meaning of combination?

A combination is a combination of n things taken k at a time without repetition.

We need to choose 1 male wolf out of 1 wolf male. So  we can choose one wolf as

[tex]c(1,1)=\frac{1!}{1!(1-1)!} =\frac{1!}{1!}=1!=1[/tex]

We can choose 1 male wolf in only 1 way.

Since the female wolfs are identical that means order doesn't matter, so we will use combinations.

We can choose 2 female wolves out of 8 as

[tex]C(8,2)=\frac{8!}{2!(8-2)!} =\frac{8\times 7 \times 6!}{2\times 1\times 6!} =\frac{8\times 7}{2} =28[/tex]

Therefore, we can choose 2 female wolves out of 8 female wolves in 28 ways.

We have to find number of ways in which the first group of three wolves can be formed we will multiply the ways of choosing 1 male wolf and 2 female wolves.

Number of ways farming first group of three wolves

1(28)=28

Therefore, the first group of three wolves can be formed in 28 ways

To learn more about the combination visit:

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Answer:

D. [tex](-2)^6[/tex]

Step-by-step explanation:

There are six (-2), so it would be D. since C. would just mean [tex]2^6[/tex] and turn that negative.

You can check using a calculator that (-2)(-2)(-2)(-2)(-2)(-2) would equal 64 while C. equals -64. So the correct answer would be D.

Answer:

£27

Step-by-step explanation:

1:3 = M:H

Mark gets £9

1 = £9

3: £9 x 3 = £27

Answer: the answer is £27

Step-by-step explanation: it is related to ratio if mark gets 9 so 9 times 3 . Equals to 27 . You can make criss cross way . 1 won't make the answer different. Hope it helps

First, let's solve this equation by subtract 38 from both sides:-

[tex]\bigstar[/tex] 47-38=n

hence, the answer is:-

9=n

or

[tex]\bigstar{\underline{\boxed{\pmb{n=9}}}[/tex]

Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I'll comment and/or edit my answer :)

The height of the parallelogram that has an area of (32 + √2) ft² and base of (4+√2) ft is 9(7 + 2√2) / 7 ft

area of parallelogram = bh

where

Therefore,

area = (32 + √2) ft²

base = (4+√2) ft

Therefore,

area of a parallelogram = bh

(32 + √2) = (4+√2)h

divide both sides by (4+√2)

h = (32 + √2)  / (4+√2)

h =  (32 + √2)  / (4+√2) × (4-√2) / (4-√2)

h =  (32 + √2) (4-√2) / 16 - 4√2 + 4√2 - 2

h = 128 + 32√2 + 4√2 - 2 / 14

h = 126 + 36√2 / 14 ft

h = 18(7 + 2√2) / 14 ft

h = 9(7 + 2√2)  / 7 ft

learn more on parallelogram here: https://brainly.com/question/8377736

Answer:

e = 70

Step-by-step explanation:

2e - 13 + 8 = 135

2e - 5 = 135

2e = 135 + 5

2e = 140

divide both sides by 2

e = 70

Answer:

  61

Step-by-step explanation:

PS is a midsegment of the triangle, so is half the length of the parallel base segment.

  2PS = QR

  2(x -16) = x +29 . . . . . substitute given expressions

  2x -32 = x +29 . . . . . eliminate parentheses

  x = 61 . . . . . . . . . . . . add 32-x

Answer:

ok so 5/10ths is also 3/6ths or 2/4ths or 1/2

Step-by-step explanation:

Answer: 101 degrees

Step-by-step explanation:

Answer:

C.

Step-by-step explanation:

Because of the K And j = K and L.Those are equal of the length.

And also, I believed the angel of K is 130 degrees ...

I hope it can help you a lots...Thanks.

Answer:

C

Step-by-step explanation:

typical property of isoceles triangle

properties:

1.- Base angles are equal

2. has two sides equal

☆the two above are key to identifying an isoceles triangle

the one above satisfies no.2

brainliest please

Step-by-step explanation:

Hope it helps you

The standard form of a circle shows the center and the radius

The equation of the circle in standard form is (x + 5)^2 + (y - 4)^2 = 57

The standard equation of a circle is:

(x - a)^2 + (y - b)^2 = r^2

Where:

Center= (a,b)

Radius = r

Assume that:

(a,b) = (-5,3)

r = [tex]\sqrt{[/tex]57

The equation of the circle would be:

(x + 5)^2 + (y - 4)^2 = ([tex]\sqrt{57[/tex])^2

Evaluate the exponent

(x + 5)^2 + (y - 4)^2 = 57

Hence, the equation of the circle in standard form is (x + 5)^2 + (y - 4)^2 = 57

Read more about circle equations at:

https://brainly.com/question/1559324

Answer:

The Area of the shaded region :

(x²)(4x-1) - (5x)(x+7) =

4x³ - x² - 5x² - 35x =

4x³ - 6x² - 35x

Answer:

Yes. They are proportional.

Step-by-step explanation:

[tex]\frac{56}{72} =\frac{7}{9}[/tex]

[tex]0.777=0.777[/tex]

The left side 0.777 is equal to the right side 0.777, which means that the given statement is always true.

True

Answer:

x = 3, y = - 2

Step-by-step explanation:

By substitution method,

4x + y = 10 -------> equation 1.

7x + 2y = 17 -------> equation 2.

From equation 1,

y = 10 - 4x ------> equation 3.

Substitute equation 3 in 2,

7x + 2 ( 10 - 4x ) = 17

7x + 20 - 8x = 17

7x - 8x = 17 - 20

- x = - 3

x = 3

Substitute x = 3 in equation 1,

4 ( 3 ) + y = 10

12 + y = 10

y = 10 - 12

y = - 2

Hence,

x = 3

y = - 2

✿————✦————✿————✦————✿

:

=

=−

✿————✦————✿————✦————✿

:

* , . .

* ℂ - .

* .

* .

* / − +.

* − / + / , +=.

* - / + /

* /

* /

*

* − = -/ + /. , .

* -/ -

* / / . .

✿————✦————✿————✦————✿

pa brainliest kung ayaw, edi wag** char

A displacement current simply means the limited shift of electric components which occur when the voltage is applied to the capacitor.

Your information is incomplete. Therefore, an overview of the displacement current will be given.

A displacement current simply defines the terms of the rate of change of the electric displacement field.

It's the current due to the changing of the electric field that is inside the plate of the capacitor.

Learn more about displacement on:

https://brainly.com/question/321442

Answer:

0.

Step-by-step explanation:

1.8 + 3.4 = 5.2.

The sum of two sides is less than the length of the third side (5.6 cm)  so the answer is 0 triangles,

Answer:

Step-by-step explanation:

well, 1% of 1999.8=19.998, so it would be + - 1,999.99

Check the picture below.

[tex]\textit{area of a trapezoid}\\\\ A=\cfrac{h(a+b)}{2}~~ \begin{cases} h=height\\ a,b=\stackrel{parallel~sides}{bases}\\[-0.5em] \hrulefill\\ h=2\\ a=3\\ b=9 \end{cases}\implies A=\cfrac{2(3+9)}{2}\implies A=12[/tex]

Answer:

  a³ +b³ = (a +b)(a² -ab +b²)

Step-by-step explanation:

The patterns for factoring the sum and difference of cubes are similar. The sign of the second term in each factor is reversed from one pattern to the other.

  a³ -b³ = (a -b)(a² +ab +b²)

  a³ +b³ = (a +b)(a² -ab +b²) . . . . . pattern for factoring sum of cubes

Answer:

A-6 , B-19 , C-55 , D-119 , E-70

Step-by-step explanation:

Subtract 68 from 138 to find out how many 8th graders in total, and that will get you blank E.

Subtract 64 from 70 (E) to find out blank A.

Add 6 and 13 get the total for TV, blank B.

To get blank C, you need to subtract 13 from 68.

For the last blank, blank D, you need to add 55 (blank C) and 64, which will give you 119.