What is a line of symmetry?

Answer:

351.48cm²

Step-by-step explanation:

Heron’s Formula

Find half the perimeter (30+30+26)/2=43

It’s the square root of each side subtracted from 43, multiplied together, times 43.

√(43-30)*(43-30)*(43-26)*43=√13*13*17*43=√=123539=351.481cm²

Area of triangle is, 351. 39 cm²

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

We have to given that;

All the sides of triangles are,

⇒ 30 cm, 30 cm, and 26 cm

We know that;

⇒ Area of triangle = √ s (s - a) (s - b) (s - c)

Where, 's' is the semi perimeter of the triangle, and a, b and c are three sides of triangle.

Here, Sides are,

⇒ a = 30

⇒ b = 30

⇒ c = 26

Hence, We get;

⇒ s = (a + b + c) / 2

⇒ s = (30 + 30 + 26) / 2

⇒ s = 86 / 2

⇒ s = 43 cm

So, The area of triangle is,

⇒ Area of triangle = √ s (s - a) (s - b) (s - c)

⇒ Area of triangle = √ 43 (43 - 30) (43 - 30) (43 - 26)

⇒ Area of triangle = √ 43 × 13 × 13 × 17

⇒ Area of triangle = 13 √ 731

⇒ Area of triangle = 13 × 27.03

⇒ Area of triangle = 351. 39 cm²

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Answer:

4.7 , 6.25 , 16 , 26

Answer:

From least to greatest

4.7

6.25

16

26

Answer:

B

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

Please find attached the required inverse of a function chart

Step-by-step explanation:

The inverse of a function is found by reversing the operations of the  function

The inverse of the function f(x) = 2·x - 4 is found as follows;

x = 2·x - 4

x + 4 = 2·x

x = (x + 4)/2 = x/2 + 2

Therefore, the inverse of the function f(x) = 2·x - 4 is f(x) = x/2 + 2

The inverse function is plotted by generating data points as follows;

[tex]{}[/tex]x         [tex]{}[/tex]          f(x)

0                2

1                  2.5

2                 3

3                  3.5

4                   4

5                   4.5

6                   5

7                   5.5

8                   6

9                   6.5

10                  7

11 [tex]{}[/tex]                   7.5

12[tex]{}[/tex]                    8

13                 8.5

14                  9

15                  9.5

16               10

Answer:

[tex]10. \text{Opposite of a Difference} \implies \text{E. } -(8 -3m) = 3m - 8[/tex]

[tex]11. \text{Opposite of a Sum} \implies \text{A. } -[(-r) + 2p] = -(-r) -2p[/tex]

[tex]12. \text{Opposite of an Opposite} \implies \text{F. }-[-(9 - 2w)] = 9 - 2w[/tex]

[tex]13. \text{Multiplication by 0} \implies \text{B. }16d -(3d + 2)(0) = 16d - 0 = 16d[/tex]

[tex]\boxed{\text{The product of two numbers is equal to 0} \implies 0 \cdot a = 0}[/tex]

[tex]14. \text{Multiplication by -1} \implies \text{D. } -(4r + 3s) + t = (-1)(4r + 3s) + t[/tex]

[tex]15. \text{Distributive Property} \implies \text{C. } 5(2-x) = 10-5x[/tex]

Answer:

b) −3y2−2x+1

d) −4xy+4y2−y−10

Step-by-step explanation:

b) -4x + y2 - 9 + 10 - x + 3x - 4y2

(i have just underlined, italic and made it bold to show the like terms)

-4x - x + 3x = -2x

y2 - 4y2 = -3y2

-9 + 10 = 1

-2x - 3y2 + 1

d) 0 - 20 - 5xy + 4y2 + 10 - y + xy

(i have just underlined, italic and made it bold to show the like terms, however the '-y' and '4y2' have no like terms)

0 - 20 + 10 = - 10

-5xy + xy = - 4xy

-10-4xy+4y2-y

Answer:

See answer is Explanation

Step-by-step explanation:

4 divided by 25 is 0.16

6 divided by 25 is 0.24

6 x 4 = 24

4 x 25 = 100

6 x 25 = 150

Answer:

Blueberry costs 9 dollars

Pumpkin costs 7 dollars

Step-by-step explanation:

Let "b" represent the price of a blueberry pie

Let "p" represent the price of a pumpkin pie

Step 1: Set equation

5b + 12p = 143 ----- 1

10b + 8p = 142 ----- 2

Step 2:  Isolate 1 for "b"

5b = 143 - 12p

[tex]b = \frac{143}{5}-\frac{12}{5}p[/tex]  ------- 3

Step 3: Substitute 3 into 2

[tex]10(\frac{143}{5}-\frac{12}{5} p )+8p=142\\286 - 24p + 8p = 142\\-24p + 8p = 142 - 286\\-16p = -144\\p = -\frac{144}{-16}\\ p = 9[/tex]

Step 4: Subsitute p = 9 into 1 for b

[tex]5p + 12(9) = 143\\5p + 108 = 143\\5p = 143 - 108\\5p = 35\\\frac{5p}{5}=\frac{35}{5}\\p = 7[/tex]

Therefore a pumpkin pie costs 7 dollars while a blueberry pie costs 9 dollars

Answer:

For example if the three points are A, B and C in your diagram then there are infinitely many planes that contain the points. The final point is that if the three points do not lie on a line then there is exactly one plane that contains the points.

Step-by-step explanation:

Answer:

[tex]\Large \boxed{\mathrm{The \ sum \ of \ a \ number \ and \ three \ quarters \ is \ five.}}[/tex]

Step-by-step explanation:

x + 3/4 = 5

x is the unknown number.

3/4 is added to the number.

The result is 5.

The verbal sentence to represent the equation would be:

The sum of a number and three quarters is five.

Answer:

  no solution

Step-by-step explanation:

Divide by 4:

  3d -1 = 3d

Subtract 3d:

  -1 = 0 . . . . . . FALSE

There is no value of d that will make this be true. The equation has NO SOLUTION.

Answer:

x=-8

Step-by-step explanation:

Step 1.)   0.4x-2.5=1.3x+4.7

Step 2.)  -2.5=1.3x-0.4x+4.7

Step 3.)   -2.5=0.9x+4.7

Step 4.)   -2.5-4.7=0.9x

Step 5.)   -7.2=0.9x

Step 6.)    -7.2/0.9=x

Step 7.)    -8=x

Answer:

Hey there!

When z=48, y=6.

z is 8 times as much as y.

11 part 1: z=8y

11 part 2: I'm going to attach a graph I created at the bottom of this answer :)

Let me know if this helps :)

Answer:

Step-by-step explanation:

Given P = 6q² + 3, we are to find the derivative of the function with respect to q. Generally if y = axⁿ;

dy/dx = naxⁿ⁻¹

Rewriting the given equation as P =  6q² + 3q⁰

Using the formula to find the derivative;

dP/dq = 2(6)q²⁻¹ + 0(3)q⁰⁻¹

dP/dq = 12q¹ + 0

dP/dq = 12q

Hence the derivative of the function P with respect to q is 12q

Answer:

80y-24z

Step-by-step explanation:

Answer: B & D

Step-by-step explanation:

In this scenario we want to come out with a situation where both sides are in an even playing field, as the equation solves to zero.

If a diver is 35 feet below water (-35) and he comes up to breathe, he goes up 35ft (35) meaning he is at the surface (0).

If Manuel is in debt for 35$ (-35) and then he pays off the 35$ (+35) then he is even (at 0).

Answer:

A diver is 35 feet below the surface of the water and then comes up to the surface.

Answer:

Step-by-step explanation:

5

Answer:

(64x -11)/y

Step-by-step explanation:

Multiply 4x into the parenthesis.

60x + 4xy -11y

Divide by y.

(60x + 4x -11)/y

(64x -11)/y

Steps to solve:

4x + (15x + y) - 11y​

~Remove parenthesis and combine like terms

4x + 15x + y - 11y​

19x - 10y

Best of Luck!

Greetings,

I hope you and your family are staying safe and healthy!

Answer: x = -1 and y = 3

Step-by-step explanation:

[tex]10x - 5y = -25 \\10x + 8y = 14[/tex]

Let's start by solving [tex]10x - 5y = -25[/tex] for [tex]x[/tex]

[tex]10x - 5y=-25[/tex]

Add 5y to both sides

[tex]10x - 5y + 5y = -25+5y \\10x = 5y - 25[/tex]

Now we need to divide both sides by 10

[tex]\frac{10x}{10} = \frac{5y-25}{10}[/tex]

[tex]x = \frac{1}{2} y + \frac{-5}{2}[/tex]

That's not the answer for x. We are not done yet :)

Now we need to substitute [tex]\frac{1}{2} y + \frac{-5}{2}[/tex] for [tex]x[/tex]

[tex]10x + 8y = 14\\10(\frac{1}{2} y + \frac{-5}{2} + 8y = 14[/tex]

Now we need to simply both sides

[tex]13y - 25 = 14[/tex]

Now we need to add 25 to both sides

[tex]13y - 25 + 25 = 14 + 25 \\13y = 39 \\y = \frac{39}{13} \\y=3[/tex]

We have the valuee for y! Now we need to find the value for x

To find the value of x, we need to substitute 3 for y in:

[tex]x = \frac{1}{2} y + \frac{-5}{2} \\x = \frac{1}{2} 3 + \frac{-5}{} \\x = -1[/tex]

Therefore,

The answer is x = -1 and y = 3

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

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Answer:

Step-by-step explanation:

To calculate either the profit or loss we must first find the cost price and the selling price

For the cost price

She bought 150 oranges at ¢12

Cost price = ¢ 12.00

For the selling price

She sold 6 at 30 Gp that's ¢ 0.30

If she sold 6 at ¢ 0.30

Then 150 will be 150× 0.3/ 6

Selling price = ¢ 7.50

Since the cost price is higher than the selling price she made a loss

Loss = Cost price - Selling price

Loss = ¢ 12 - ¢ 7.50

Hope this helps you

Answer:

148

Step-by-step explanation:

a straight line is always 180 degrees. therefore if you subtract 32 from 180 you are left with 148 degrees.

hope this helps

Answer:

D

Step-by-step explanation:

∠ ABD and ∠ ABC are adjacent angles and are supplementary, thus

∠ ABD + 32° = 180° ( subtract 32° from both sides )

∠ ABD = 148° → D

Answer:

original price = $270 new price = $306.99

Step-by-step explanation:

To solve this we first have to find the original price.

13.7 % of the original price is $36.99 from the  question.

We multiply 100 /13.7 * 13.7 /100 to get the 100% value or the original price.

We also multiply 100 /13.7 * 36.99 = $270 to get the original value.

So the original price is $270.

We add $36.99 to the original price to get the new price.

$270 + $36.99 = $306.99

========================================================

Explanation:

T = (0,0) moves to T ' = (3,0) since we shift 3 units to the right. We add 3 to the x coordinate. The y coordinate does not change since we're not shifting up or down.

Q = (-2,0) moves to Q ' = (1,0) after applying the same rule we did to point T.

M = (-3,2) moves to M ' = (0,2)

Y = (-3,3) moves to Y ' = (0,3)

See the diagram below

Answer:

(5÷5+5)x(5-5)=0

Step-by-step explanation:

(5÷5+5)x(5-5)=0

Answer:

n = -1

Step-by-step explanation:

1 - 8n - 8 = -7n - 6n - 12

Simplify

-8n - 7 = -13n - 12

Add 7 to both sides

-8n = -13n - 5

Add 13n to both sides

5n = -5

Divide both sides by 5

n = -1

Answer:

n = 1

Step-by-step explanation:

1 - 8n - 8 = -7n - 6n - 12

-8n + 7n + 6n = -12 + 8 - 1

5n = -5

n = -5/5

n = -1

probe:

1 - 8*-1 - 8 = -7*-1 - 6*-1 - 12

1 + 8 - 8 = 7 + 6 - 12 = 1

Answer:

(f o g)(x) = [tex]\frac{4x+13}{4x+12}[/tex]

Domain : (-∞, -3) ∪ (-3, ∞)

Step-by-step explanation:

Given : f(x) = [tex]\frac{x-4}{x-5}[/tex]

            g(x) = 4x + 17

We have to find the value of (f o g)(x).

Since (f o g)(x) = f[g(x)]

                        = [tex]\frac{(4x+17)-4}{(4x+17)-5}[/tex]

                        = [tex]\frac{4x+13}{4x+12}[/tex]

For the Domain of the function (f o g)(x),

Given function is defined for (4x + 12) ≠ 0

4x ≠ -12

x ≠ -3

Therefore, Domain of the function will be : (-∞, -3) ∪ (-3, ∞)                    

Answer:

The correct option is;

A)

Step-by-step explanation:

By the representation of numbers in a figurative for, we have;

1) Th rational numbers that can be expressed in the form a/b, where a and b are real numbers

2) The integers are the direct subset of the set of rational numbers and are displayed in he next larger ellipse in the figure

3) The whole numbers are the direct subset of the set of integers.

Answer:

the correct option is A

Step-by-step explanation:

please mark as brainliest

this is the diagram that is right

Answer:

Associative Property of Addition

Step-by-step explanation:

The associative property of addition states that if all the operations are addition, then one can group and add them in whatever order they prefer.

Hope this helps!  Tell me if I'm wrong!

Answer:

[tex]\frac{3}{8}[/tex]

[tex]2\times \frac{3}{8} = \frac{3}{4}[/tex]

Step-by-step explanation:

According to the given scenario given that

if Ali uses [tex]\frac{3}{8}[/tex]  of 2 pounds of clay for a game of 4 bowls

[tex]\frac{3}{8} (2) = \frac{6}{8} = \frac{3}{4}[/tex]

here Ali will use the number of pounds of clay to create a game

[tex]2\times \frac{3}{8} = \frac{3}{4}[/tex]

Now, we need to compute the number of pounds of clay that should be used in every bowl, we need to divide the prior outcome by 4 which is

[tex]\frac{2\times \frac{3}{8}}{4}[/tex]