Why is DB equal to tan(theta)?

Answer:

[tex]n {}^{2} - 4n - 5n + n { }^{2} \\ = 2n {}^{2} - 9 [/tex]

Hope it helps

Answer:

[tex]\huge\boxed{1) 2n^2-9n}[/tex]

[tex]\huge\boxed{2) 6c\³ + 4c\²}[/tex]

Step-by-step explanation:

Part 1:

= n(n-4)-n(5-n)

By distributive property

= n² - 4n - 5n + n²

= 2n² - 4n - 5n

= 2n² - 9n

Part 2:

= 4c(3c-c²)-2c²(4-5c)

Distributing brackets

= 12c² - 4c³ - 8c² + 10c³

Combining like terms

= 12c² - 8c² - 4c³ + 10c³

= 4c² + 6c³

= 6c³ + 4c²

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

Answer:

£5787.50

Step-by-step explanation:

mark brainliest

Answer:

Step-by-step explanation:

*see attachment for diagram

Answer:

x = 20.5 in.

Step-by-step explanation:

What we are requested to find is the height of the panel/parallelogram = x

Area of each panel = base × height = 287 in.²

Given that the total length of the 3 panels which includes the length of the 2 gaps within them = 50.5 in., first, let's find the base length of each panel.

Base length of each panel = (total length - length of the 2 gaps in between the 3 panels) ÷ 3

= (50.5 - 2*4.25) ÷ 3

= 42 ÷ 3

Base length of each panel = 14 in.

✔️Next is to find the height of the panel, x.

area of parallelogram = base × height

Base = 14 in.

height = x

Area = 287 in.²

Plug in the values

287 = 14 × x

287 = 14x

Divide both sides by 14

287/14 = x

20.5 = x

x = 20.5 in.

Answer:

c

Step-by-step explanation:

dont know if i am right

Answer:

14x+1

Step-by-step explanation:

you combined like terms

8x and 6x are like terms so 8x+6x=14x

8 and (-7) are like terms so 8+(-7)=1

Answer: 14x+1

Step-by-step explanation:

Your answer would be D

Answer:

B: f(x) = 27[tex](\frac{1}{3})^{x}[/tex]

Step-by-step explanation:

If you substitute 0 and 1 into each given exponential function. The first, second and fourth value with 0 substituted will give 27 as such, so we can eliminate the third exponential function. But, if you substitute 1 into all of the remaining possible exponential functions, the only function that will give you 9, when x = 1 is substituted, is B: f(x) = 27[tex](\frac{1}{3})^{x}[/tex].

I hope this helps you!! ^-^

Answer:

r = 2

Step-by-step explanation:

4(3r + 4) - 6(r + 1) =22

12r + 16 - 6r - 6 = 22

6r = 12

r = 2

Answer:

Step-by-step explanation:

if the number is x

2x - 7 greater than 19

= 2x greater than 26

Answer:

d) 100 feet

Step-by-step explanation:

The x value of the vertex (highest point in this case) is found via -b/2a:

-80/-32 = 2.5

Plug 2.5 into the function:

h(2.5) = -16(2.5)² + 80(2.5)

= - 100 + 200 = 100

Answer:

249.45 + 31.75w

Step-by-step explanation:

Opening deposit = $249.45

Weekly deposit made into account = $31. 75

Amount of money which will be in account w weeks after opening :

Opening deposit + (weekly deposit * number of weeks)

Amount after w weeks :

$249.45 + (31.75 * w)

$249.45 + 31.75w

Answer:

C

Step-by-step explanation:

Answer:

$11

Step-by-step explanation:

to find the difference you subtract

56 - 45 = 11

Answer:

The two siblings will have saved the same amount towards their mother's gift after 3 weeks.

Amount saved by Wyatt = [tex]\$41[/tex]

Amount saved by Wyatt's sister = [tex]\$41[/tex]

Step-by-step explanation:

Let [tex]t[/tex] (in weeks) denotes the time period by which  the two siblings will have saved the same amount towards their mother's gift.

Wyatt already has $20 saved and plans to save $7 per week from his allowance.

Amount saved by Wyatt = [tex]20+7t[/tex]

Wyatt's sister has $14 saved so far and will save $9 per week from hers.

Amount saved by Wyatt's sister = [tex]14+9t[/tex]

To find the time period by which the two siblings will have saved the same amount towards their mother's gift,

solve the following equation.

[tex]20+7t=14+9t\\20-14=9t-7t\\6=2t\\3=t[/tex]

So, the two siblings will have saved the same amount towards their mother's gift after 3 weeks.

Amount saved by Wyatt = [tex]20+7(3)=20+21=\$41[/tex]

Amount saved by Wyatt's sister = [tex]14+9(3)=14+27=\$41[/tex]

Answer:

x= 37.5°

Step-by-step explanation:

∠CBD

= 180° -75° (adj. ∠s on a str. line)

= 105°

∠BCD= ∠BDC (base ∠s of isos. △BCD)

∠BCD= x

∠BCD +∠BDC +∠CBD= 180° (∠ sum of △BCD)

x +x +105°= 180°

2x= 180° -105°

2x= 75°

x= 37.5°

Alternative working:

∠BDA= (180° -75°) ÷2 (base ∠s of isos. △ABD)

∠BDA= 52.5°

∠BDA +∠BDC= 90°

52.5° +x= 90°

x= 90° -52.5°

x= 37.5°

Answer:

y=2, y=12

Step-by-step explanation:

y = |-2-3|+|-2+2|-|-2+5|

y = 5+0-3

y=2

or you can try

y=12

Answer:

1/52 OR 0.01923076923 (unusual)

Step-by-step explanation:

So, since it is only asking for 1 card and there is 52 cards in a deck, you have a in 52 chance to pick that card.

Hope that helps!

Answer:

8

Step-by-step explanation:

[tex]x = 4 \times 2 \\ x = 8[/tex]

Answer:

X=4x 2

x=8

I hope this help you

Answer:

B

Step-by-step explanation:

they are parallel so it means none

Answer:

9(x + 3).

Step-by-step explanation:

The GCF is 9 so we divide the 2 terms by 9 to get the other factor.

9x + 27

= 9(x + 3).

Answer:

(-5,-1)

explanation

Answer:

[tex] \frac{3}{4} x[/tex]

Step-by-step explanation:

because form one corner of the square to the other it goes to the right 3 and Up by 4 so the slope is 3 / 4x

Answer:

300 x .05= 15

..............

Answer:

common factor: 5x

5x (7x - 2)

Step-by-step explanation:

first, simplify the polynomial:

5x² + 30x² - 10x = 35x² - 10x

common factor: 5x

5x (7x - 2)

Answer:

x=28.67

Step-by-step explanation:

6          x

18        36

18x      516

18          18

x=28.67

Answer:

48 Feet (ft) 16.000 Yards (yd)

1 ft = 0.333333 yd 1 yd = 3.000000 ft

Step-by-step explanation:

Answer:

1/6

Step-by-step explanation:

Answer:

P=1590

Step-by-step explanation:

If its a diagram pick the answer C

Answer:

C

Step-by-step explanation:

I got it right.