Question 2: use the image and your knowledge of the isosceles triangle to find the value of x

Answer:

60ft

Step-by-step explanation:

DC is 50% longer than BD (given)

BD is 40ft (given)

DC is 50% longer than BD this means that DC= BD+50% of  BD

40ft +50/100 * 40

=40ft +20ft

=60ft

Another way to solve this could be DC is 150%of BD as BD =40ft=100% of it's length.

So, 150/100 *40

=60ft

Hope this helps.

Please mark me as brainliest.

Answer:

1)  [tex]T_{(a, \, b)}[/tex] = f(x - a) + b

Coordinate change

(x, y) → (x + a, y + b)

2) RFy(x, y) = f(-x)

Coordinate change

(x, y) → (-x, y)

3) RFx(x, y) = -f(x)

Coordinate change

(x, y) → (-y, x)

4) RCCW90(x, y) = f⁻¹(-x)

Coordinate change

(x, y) → (-y, x)

5) RCCW180(x, y) = -(f(-x))

Coordinate change

(x, y) → (-x, -y)

6) A 270 degrees counterclockwise rotation gives;

RCCW270(x, y) = -(f⁻¹(x))

Coordinate change

(x, y) → (y, -x)

Step-by-step explanation:

1) Horizontal translation a units right = f(x - a)

The vertical translation b units up = f(x) + b

Therefore, we get; [tex]T_{(a, \, b)}[/tex] = f(x - a) + b

The coordinate change

(x, y) → (x + a, y + b)

2) A reflection across the y-axis = RFy(x, y) = f(-x)

The coordinate change

(x, y) → (-x, y)

3) A reflection across the x-axis gives RFx(x, y) → (x, -y)

Therefore, in function notation, we get;

RFx(x, y) = -f(x)

4) A 90 degrees rotation counterclockwise, we get RotCCW90(x, y) → (-y, x)

In function notation RotCCW90(x, y) = INVf(-x) = f⁻¹(-x)

5) A 180 degrees counterclockwise rotation about the origin gives;

(x, y) → (-x, -y)

Therefore, we get;

In function notation RotCCW180(x, y)  = -(f(-x))

6) A 270 degrees counterclockwise rotation gives RotCCW270(x, y) → (y, -x)

In function notation RotCCW270(x, y) = -(f⁻¹(x))

Note: Consider the given equation is [tex]2(a+b)=8.1[/tex] instated of [tex]2(a+b)-8.1[/tex].

Given:

The expression [tex]2(a+b)=8.1[/tex] for certain values of a and b.

To find:

The value of [tex]3(a+b)[/tex] for the same value of a and b.

Solution:

We have,

[tex]2(a+b)=8.1[/tex]

Divide both sides by 2.

[tex](a+b)=\dfrac{8.1}{2}[/tex]

[tex](a+b)=4.05[/tex]

Multiply both sides by 3.

[tex]3(a+b)=3\times 4.05[/tex]

[tex]3(a+b)=12.15[/tex]

Therefore, the value of [tex]3(a+b)[/tex] is 12.15.

Answer:

$7.58/lb

Step-by-step explanation:

raw roast: $5.99 per lb

deli roast: $2.99 for 100g

We know the price per lb of the raw roast.

Let's find the price per lb of the deli roast.

1 lb = 454 grams

454 grams / 100 grams = 4.54

1 lb is 4.54 times 100 g

If we multiply the price of 100g of deli roast by 4.54, we get teh price per lb.

$2.99/lb * 4.54 = $13.57/lb

raw roast: $5.99/lb

deli roast: $13.57/lb

difference in price of 1 lb: $13.57 - $5.99 = $7.58

Answer: $7.58/lb

Answer:

.01669 $/g or $7.57 $/lb

Step-by-step explanation:

$2.99/100g = .0299 $/g

1 lb = 453.59237 g.

$5.99/453.59237 g= .0132$/g

Answer:

£288

Step-by-step explanation:

Kathy bought a TV for the cost of 360 pounds, including VAT (taxes).

Since the taxes are 20% of the TV's value, we can calculate 20% of 360.

20% of 360 = 72

360 - 72 = 288

Therefore, the cost of the TV before taxes was £288.

Answer:

C) -0.91

Step-by-step explanation:

A indicates a very slight positive correlation; not a strong one. B indicates a moderate negative correlation, but again, not a strong one. D indicates a strong correlation, but it is less than C, which I will get to. The answer is C, and because it is closest to ± 1, it is the strongest correlation.

Answer:

c

Step-by-step explanation:

Answer:

x = 3

Step-by-step explanation:

f(x) means function of x, and could be replaced by y to just give a y = mx + b equation. So if f(x) = y = 11, you're pretty much solving for x with the equation

11 = 3x + 2

From there, isolate x, and you have your answer.

11 = 3x + 2

9 = 3x

x = 3

Answer:

1,2.

Step-by-step explanation:

.

Answer:

[11] x = 3

[12] x = 37

[13] x = 1.2

[14] x = 62

Answer:

6×5+8×6+6×7+2×1/2×4×8

= 152 in^2

○●○●○●○●○●○

☆Hope it helps...

Answer:

The removed number is 16

Step-by-step explanation:

Five numbers have a mean of 12.

Now;

Mean = Σx/x

Thus; Σx = 12 × 5 = 60

Now,we are told that if one number is removed, the mean is 11.

Thus;

(60 - x)/4 = 11

60 - x = (11 × 4)

60 - x = 44

x = 60 - 44

x = 16

Thus,the removed number is 16

Answer:

B

Step-by-step explanation:

p(-3)=1/4(-3)²+1=9/4+1=13/4=3.25

p(5)=1/4(5)+2.5

=5/4+2.5

=1.25+2.5

=3.75

Answer:

Doug share the cards with his three other friends.

Step-by-step explanation:

If there were 24 cards and each person was suppose to get 6

24 ÷ 6 = 4

The cards were shared among 4 people including Doug himself.

Have a nice day :)

Answer:

565.2cm³

Step-by-step explanation:

the radius= 6/2= 3 cm

the height= 20cm

the volume= 3.14× 3²×20

= 3.14×180= 565.2 cm³

Check the picture below.

Answer:

[tex]f) \: r2 \div r1 \: = 5 \div 1[/tex]

Step-by-step explanation:

[tex] \frac{a1}{a2} = \frac{1}{25} = \frac{\pi \times (r1)^{2} }{\pi \times (r2)^{2}} [/tex]

[tex] {(\frac{r2}{r1})}^{2} = 25[/tex]

[tex] \frac{r2}{r1} = 5[/tex]

Answer:

its 3125

Step-by-step explanation:

you multiply it by 5 every time

Answer:

C

Step-by-step explanation:

dividido por la epotenusa es 7 :v

Answer:

[tex]{ \tt{length = \sqrt{ {( - 2 - 5)}^{2} + {(3 - 7)}^{2} } }} \\ = \sqrt{65} \\ = 8.06 \: units[/tex]

Answer:

- 7 / 4

Step-by-step explanation:

Slope = (y2 - y1) / (x2 - x1)

Slope = (1 - -6) / (-5 - -1)

Slope = - 7 / 4

Answer:

Slope: -7/4

Step-by-step explanation:

If you're given two points:

(x_1, y_1) & (x_2, y_2)

The formula for slope is:

(y_2 - y_1)/(x_2 - x_1)

x_1 = -5

x_2 = -1

y_1 = 1

y_2 = -6

Plug them into the slope formula and solve:

(-6 - 1)/(-1 - (-5))

(-7)/(-1 + 5)

-7/4

Hope it helps (●'◡'●)

Answer:

Step-by-step explanation:

thats the link for the diagram

Answer:

The nucleus of a titanium atom has 22 protons and 26 neutrons

If you search online for 'Bohr's diagram for titanium' it might help.

__

It will become Ti ^4+

Bohr diagrams indicate how many electrons fill each principal shell. This means that they can achieve a stable configuration and a filled outer shell by donating or losing an electron. As a result of losing a negatively-charged electron, they become positively-charged ions.

Answer:

Step-by-step explanation:

Step-by-step explanation:

.hhx cvs Gunther b but kcm

Step-by-step explanation:

Step 2:

[tex] ({15x}^{2} - 9x) + (5x - 3)[/tex]

Stepc3:

[tex]3x(5x - 3)[/tex]

Answer:

Area of rectangular land = 1,440 cm².

Perimeter of rectangular land = 152 cm

Step-by-step explanation:

Given:

Length of rectangular land = 36 cm

Width of rectangular land = 40 cm

Find:

Area of rectangular land

Perimeter of rectangular land

Computation:

Area of rectangle = length x width

Area of rectangular land = 36 x 40

Area of rectangular land = 1,440 cm²

Perimeter of rectangle = 2[l + b]

Perimeter of rectangular land = 2[36 + 40]

Perimeter of rectangular land = 2[76]

Perimeter of rectangular land = 152 cm

Answer:

12%

Step-by-step explanation:

first subtract 12000 from 13440 which is 1440 which is the amount of sales tax. to find the rate you need to find at what percentage was multiplied by. I got 0.12 which means 12 percent sales tax.

Answer:

[tex]{ \bf{volume = \pi {r}^{2}h }} \\ = 3.14 \times {7.5}^{2} \times 20 \\ { \tt{volume = 3534.3 \: {cm}^{2} }}[/tex]

Answer:

A) 0

Step-by-step explanation:

The solution is a couple (x, y) that are the coordinates of the intersection point of the lines.

If the lines are parallel there is no intersection and no solution to the system of equations

The required, system of the equation of the line shown in the graph has no solution. Hence option A. Zero is correct.

Simultaneous linear equations are two- or three-variable linear equations that can be solved together to arrive at a common solution.

Here,
Two parallel lines with some space between them are shown on the given graph. The system of equations indicated by the lines cannot be solved since there is no intersection point between them. This indicates that there isn't an x or y value that simultaneously solves both equations.

Thus, option A. zero is correct.

Learn more about simultaneous equations here:

https://brainly.com/question/16763389

#SPJ7

1: True

2: False

3: False

4: True

5: False

6: True

Answer:

3ft and 24 ft.

Step-by-step explanation:

The longer piece is 8 times as long as shorter piece

therefore,

Total length of the wooden board = 27 ft.

27 = longer length + shorter length

27 = x + 8x

27 = 9x

dividing both sided by 9

3 = x

since x was the length of the shorter piece

shorter piece is 3 ft. long

and the longer piece was equal to 8x

longer piece is 24 ft. long

Answer:

Option (B) is correct

Step-by-step explanation: