Point C is on line segment BD
. Given BD=5x,BC=4x, and CD=4, determine the numerical length of BD.

hence, the common ratio of the given G.P. is 3 or −3.

Answer:

common ratio is -3 or 3

Step-by-step explanation:

[tex]u_1=1\\\\u_3=u_1*r^2=r^2\\\\u_5=u_1*r^4=r^4\\\\r^2+r^4=90\\\\r^4+r^2-90=0\\\Delta=1+4*90=361=19^2\\\\r^2=\dfrac{-1-19}{2} =-10 (exclude\ a\ square\ is\ positive)\\or\\r^2=\dfrac{-1+19}{2}=9\\r^2-9=0\\(r-3)(r+3)=0\\So\ r=-3\ or\ r=3\\[/tex]

Perimeter of a triangle is the sum of measures of its all three sides, let the other be y,

we know,

[tex] \hookrightarrow \: y + 3x + 2 + 4x - 9 = 16x - 6[/tex]

[tex] \hookrightarrow \: y + 7x - 7 = 16x - 6[/tex]

[tex] \hookrightarrow \: y = 16x - 6 - 7x + 7[/tex]

[tex] \hookrightarrow \: y = 6x + 1[/tex]

hence, measure of the third side is 6x + 1

Step-by-step explanation:

-3+m/9=10

m/9=10+3

m/9=13

m=13×9

m=117

Note:if you need to ask any question please let me know.

Answer:

x=2

Step-by-step explanation:

6x + 2 = 14

Subtract 2 from each side

6x+2-2 = 14-2

6x= 12

Divide by 6

6x/6 = 12/6

x=2

Answer:  x=2

Step-by-step explanation:

Answer:

p = -10

Step-by-step explanation:

[tex]\frac{p+1}{2} = \frac{3p+7}{5}[/tex] cross multiply fractions

6p + 14 = 5p + 5

6p - 5p = 5 - 15 subtract like terms

p = - 10

Answer:

[tex]\frac{13}{18}[/tex]

I think the given figure will help you....

Answer:

area is just multiplication of sides so..

(4.2x^2 - 3xy) (5)

= 21 x^2 - 15 xy

doneeeeee

Answer:

361

Step-by-step explanation:

[tex]3 \times {11}^{2} - 2 = 361[/tex]

Answer:

361

Step-by-step explanation:

3(7+4)^2-14÷7

PEMDAS says parentheses first

3(11)^2-14÷7

Then exponents

3(121)-14÷7

Then multiply from left to right

363 -14÷7

363 -2

Subtract

361

Answer:

I think c if not sorry

Step-by-step explanation:

C is the only one that makes sense

person uses the best cost saving strategy when deciding how to spend their money is Tyrone waited for a sale so he could get a lower price on his new skateboard.

The correct option is (C).

What is strategy?

Strategy is an action that managers take to attain one or more of the organization's goals. Strategy can also be defined as “A general direction set for the company and its various components to achieve a desired state in the future. Strategy results from the detailed strategic planning process”.

Considering the cost saving ,

Tyrone spends it in a better way cause he waits for the sale so that he could get the lower price for his new skateboard.

Other just look on the quality, first buyer, took the item in increased price.

Hence, Tyrone waited for a sale so he could get a lower price on his new skateboard.

Learn more about strategy here:

https://brainly.com/question/20350382

#SPJ2

Answer:

a) 25%

10%+15% = 25%

b) doesn't have any idea

Answer:

w= -4

Step-by-step explanation:

If you like my answer than please mark me brainliest thanks

Answer:

w is -4

Step-by-step explanation:

[tex]4w = 2w - 8[/tex]

make w the subject:

[tex]4w - 2w = - 8 \\ 2w = - 8[/tex]

divide all sides by 2:

[tex] \frac{2w}{2} = \frac{ - 8}{2} \\ \\ w = - 4[/tex]

Answer:

20 weeks

Step-by-step explanation:

200-1.5w=180-0.5w

You can double-check by substituting 20 for w (weeks), if it is equal, then the equation is correct.

Answer:

Solution given;

[tex] \sqrt{ \dfrac{225}{9} } [/tex]

[tex] \sqrt{ \dfrac{15²}{3²} } [/tex]

[tex] \sqrt{ (\dfrac{15}{3} )²} [/tex]

[tex]\dfrac{15}{3}[/tex]

=5

Answer:

First, simplify the content under root:

Now, use the following identity:

Last, we get:

Answer:

M=(7,2)

Step-by-step explanation:

M=(10+4/2,5+-1/2)

M=(7,2)

Answer:

- (5/22)

Step-by-step explanation:

(12-2x+8)/3 = (6x + 15)/2

(20 - 2x)/3 = ( 6x + 15)/2

Now cross multiplication

40 - 4x = 18x + 45

-18x - 4x = 45- 40

- 22x = 5

x = - ( 5/22)

Answer:

10 and 7 are the numbers

Step-by-step explanation:

Let the number be x and y, ATQ, x+y=17 and x-y=3, solving it we will get x=10 and y=7

The sum of two numbers is 17 and their difference is 3.

Let's define the two numbers as x and y.

Sum of two numbers is 17

x + y = 17

Their difference is 3

x - y = 3

-----------------------------------------

Solve for x

x + y = 17

x = 17 - y

now that we have x, substitued x into x - y = 3

x - y = 3

17 - y - y = 3

17 - 2y = 3

-2y = -14

y = 7

we have y, 7, now let's substitue that into one of the equations to find x

x - y = 3

x - 7 = 3

x -7 + 7 = 3 +7

x = 10

the numbers are 10 and 7

Answer:

Mean=6

Sum of numbers= 30

Step-by-step explanation:

Answer: 13y - 55

Step-by-step explanation:

Given

7 (3y - 5) - 2 (10 + 4y)

Expand parentheses and apply the distributive property

=7 · 3y - 7 · 5 - 2 · 10 - 2 · 4y

=21 y - 35 - 20 - 8y

Move like terms together

=21y - 8y - 35 - 20

Combine like terms

=13y - 55

Hope this helps!! :)

Please let me know if you have any questions

Answer:

C.

Step-by-step explanation:

.

Answer:

c) 3.4 in

Step-by-step explanation:

Answer:

h is an odd funtion

Step-by-step explanation:

this is because h(-x)=h(x)

Answer: A

Step-by-step explanation:

A sum of odd functions is a odd function

Proof:

[tex]h(x)=x^5-2x^3+x\\\\h(-x)= (-x)^5-2(-x)^3+(-x) \\\\=- x^5-2(-x^3)-(-x)\\\\=-(x^5-2x^3+x)\\\\=-h(x)\\\\So\ h(-x)=-h(x):\ the \ function\ h(x) \ is\ odd.\\[/tex]

Answer: 480

Step-by-step explanation:

The quadrilateral ABCD is a trapezium

The formula for area of trapezium is

Area of trapezium = 1/2 × (parallel side 1 + parallel side 2) × h

So we can place the given values into the formula.

We get

Area = 1/2 × (9+15) × 40

Area = 1/2 × 24 × 40

By multiplying all of them we get

Area = 480cm

Part-A:-

[tex]\\ \sf\longmapsto x^2+3x-70(4x-12)[/tex]

[tex]\\ \sf\longmapsto 4x^2+12x-280-12x^2+36x+840[/tex]

[tex]\\ \sf\longmapsto -8x^2+48x+560[/tex]

Now

[tex]\\ \sf\longmapsto (f.g)(3)[/tex]

[tex]\\ \sf\longmapsto -8(3)^2+48(3)+560[/tex]

[tex]\\ \sf\longmapsto -72+144+560[/tex]

[tex]\\ \sf\longmapsto 72+560[/tex]

[tex]\\ \sf\longmapsto 632[/tex]

Part-B:-

[tex]\\ \sf\longmapsto f(3)[/tex]

[tex]\\ \sf\longmapsto (3)^2+3(3)-70[/tex]

[tex]\\ \sf\longmapsto 9+9-70[/tex]

[tex]\\ \sf\longmapsto 18-70[/tex]

[tex]\\ \sf\longmapsto -52[/tex]

Now

[tex]\\ \sf\longmapsto g(f(3))[/tex]

[tex]\\ \sf\longmapsto g(-52)[/tex]

[tex]\\ \sf\longmapsto 4(-52-3)[/tex]

[tex]\\ \sf\longmapsto 4(-55)[/tex]

[tex]\\ \sf\longmapsto -220[/tex]

Part:-C

[tex]\\ \sf\longmapsto g(-2)[/tex]

[tex]\\ \sf\longmapsto 4(-2-3)[/tex]

[tex]\\ \sf\longmapsto 4(-5)[/tex]

[tex]\\ \sf\longmapsto -20[/tex]

Now

[tex]\\ \sf\longmapsto f(g(-2))[/tex]

[tex]\\ \sf\longmapsto f(-20)[/tex]

[tex]\\ \sf\longmapsto (-20)^2+3(-20)-70[/tex]

[tex]\\ \sf\longmapsto 400-60-70[/tex]

[tex]\\ \sf\longmapsto 400-130[/tex]

[tex]\\ \sf\longmapsto 270[/tex]

Part-D:-

[tex]\\ \sf\longmapsto (g.f)(-2)[/tex]

[tex]\\ \sf\longmapsto -8(-2)^2+48(-2)+560[/tex]

[tex]\\ \sf\longmapsto 32-96+560[/tex]

[tex]\\ \sf\longmapsto -64+560[/tex]

[tex]\\ \sf\longmapsto 496[/tex]

Answer:

OPTION A:0.85M+2.50.

Step-by-step explanation:

SEE IMAGE FOR SOLUTION

Answer:

1/2n + 7

n =  unkown number

Step-by-step explanation:

Answer:

1/2(x) + 7

Step-by-step explanation:

x= unknown number

Answer:

Your final grade will be 77%

Step-by-step explanation:

40% will be from your test average which is 95

30% will be from your homework average which is 60

30% will be from your quiz average which is 70

Calculating based on these weights:

(40×95+30×60+30×70) / (40+30+30) = 7700 / 100 = 77.00%

Answer:

Subtract four to get the next term.

Step-by-step explanation:

66 - 4 = 62

62 - 4 = 58

58 - 4 = 54

54 - 4 = 50

50 - 4 = 46

46 - 4 = 42

42 - 4 = 38

Answer:

B

Step-by-step explanation:

Subtract 4