The slope (m) and the y-intercept (b) of the line 2x + 3y = 12 is:

2^2 + 2^2 = h^2

8 = h^2

√8 = h

h = 2.82mm

Answered by Gauthmath must click thanks and mark brainliest

Answer:

x = 14.0902 (After rounding to the nearest ten-thousandth)

Step-by-step explanation:

Using the bottom angle to solve x, the best option to use would be sine as we have the length for the opposite leg. Then we do the following:

Sin(69) = Opp/Hyp

Sin(69) = 14/x

0.9336 = 14/x

0.9336(x) = 14/x(x)

0.9336x = 14

0.9336x/0.9336 = 14/0.9936

x = 14.0902

Answer:

4y+2x ≤ -1

(5,-3)

4x(-3)+2×(5) ≤ -1

-12+10≤ -1

-2 ≤ -1

A) 4y+2x ≤ -1

~OAmalOHopeO

Answer:

1) 6а-9b=3(2a-3b)

2)8a-12b=4(2a-3b)

3) 5ab-5ac=5a(b-c)

4) 6ax+6ay=6a(x+y)

Answer:

D. II & III

Step-by-step explanation:

II  (x - 4)(2x + 9)  = 2x² + x - 36

III (x - 4)(x - 6) = x²- 10x + 24

I has factors (x + 4)(x - 8)

IV has factors x(x - 16)

Answer:

The answer is 43.52 you're welcome

Answer:

m<c = 104°

m<d = 80°

Step-by-step explanation:

Recall: Opposite angles of a cyclic quadrilateral are supplementary. Therefore, their sum equals 180°. Thus:

m<c + 76° = 180°

m<c + 76° - 76° = 180° - 76° (subtraction property of equality)

m<c = 104°

m<d + 100° = 180°

m<d +100° - 100° = 180° - 100° (subtraction property of equality)

m<d = 80°

Answer:

If its supposed to be simplify it will be -7 . If your finding the derivative it is 0.

Step-by-step explanation:

Answer:

DEF = 105

Step-by-step explanation:

The sum of the angles of a triangle is 180

28+47+DEF = 180

Combine like terms

DEF+75=180

Subtract 75 from each side

DEF +75-75 =180-75

DEF = 105

Answer: D

Step-by-step explanation: The answer is D because firstly we know that all right triangles add up to 180 degrees.

Using this knowledge we know 2 sides out of the 3. Therefore 47+28+x=180. Then we would add the first 2 numbers then minus 180 to get 105 as your last angle.

Hope this helps!

There are 3 images with full explanation

Answer:

A. quadratic; y = 2.5x2

Step-by-step explanation:

Answer:

Option (1)

Step-by-step explanation:

x               -2              -1                 0                    1                   2

y               10            2.5                0                  2.5                3.0

Ist difference,

    = -2.5

   = 2.5

   = 7.5

2nd difference,

    = 5

   = 5

   = 5

Since 2nd difference is common, given table represents a quadratic equation.

Let the equation is,

y = ax²+ bx + c

For a point (0, 0) passing through the quadratic equation,

0 = c

Therefore, quadratic equation is y = ax² + bx

Since ordered pair (-1, 2.5) passes through the graph of the function,

2.5 = a(-1)² + b(-1)

a - b = 2.5 ------(1)

For another point (1, 2.5)

2.5 = a(1)² + b(1)

a + b = 2.5 ------(2)

By adding equations (1) and (2),

2a = 5

a = 2.5

and from equation (2)→ y = 0

Therefore, equation of the quadratic function given in the table is y = 2.5x²

Option (1) is the answer.

Answer:

81

Step-by-step explanation:

The angles shown are formed on a straight line

Angles formed on a straight line add up to 180

So m + m + 18 = 180

We've just created an equation that we can use to solve for m

So we can now solve for m

m + m + 18 = 180

Combine like terms

2m + 18 = 180

Subtract 18 from both sides

2m + 18 - 18 = 180 - 18

2m = 162

Divide both sides by 2

2m/2 = 162/2

m = 81

Answer:

4/9 is the answer for this question

Step-by-step explanation:

Answer:

Step-by-step explanation:

x = 4.999....  ---------(I)

After decimal point only one digit is repeating. So multiply both sides by 10

10x = 49.999.....(II)

subtract (I) from (II)

10x = 49.999...

x    =   4.999....  {subtract}

   9x = 45

    x = 45/9

x = 5/1

Explanation:

We use the intersecting chords theorem here.

This is the idea where multiplying the pieces of each chord lead to the same product

6*x = 5*12

6x = 60

x = 60/6

x = 10

Answer:

C.) 10

Step-by-step explanation:

I got it correct on founders edtell

Step-by-step explanation:

it is simple.

there is a constant speaking time of 25 minutes.

the duration of the meeting is the speaking time plus the question answering time.

so,

q = 1 means t = 25 + 1 = 26

q = 2 means t = 25 + 2 = 27

q = 3 means t = 25 + 3 = 28

q = 8 means t = 25 + 8 = 33

Answer:

n=4

Step-by-step explanation:

3n - (2+n) = 6

Distribute the minus sign

3n -2-n = 6

Combine like terms

2n-2 =6

Add 2 to each side

2n-2+2 = 6+2

2n = 8

Divide by 2

2n/2 = 8/2

n=4

Answer: The answer is C. 4

Step-by-step explanation:

(0,0) and (4,16)

(y1-y2)/(x1-x2)

0-16/0-4=16/4=4

Answer:

x=17

Step-by-step explanation:

3x-15=20+16

3x-15=36

3x=36+15

3x=51

x=17

Answer:

-24.5 or 7i or -71 (see below)

Step-by-step explanation:

Im gonna guess that you mean (22-16)(2x+49)=0

Therefore, since one of the brackets must be equal to 0 and 22-16 is 6, 2x+49=0 so x is -24.5

However, if you meant (22-16)(x^2+49)=0

then x^2+49=0 so x^2 =-49

Therefore, the answer is complex and therefore 7i or -7i

Answer:

x = 3

Step-by-step explanation:

All the angles of a square are 90°

The diagonals bisect the angles , then

5x² = 45 ( divide both sides by 5 )

x² = 9 ( take the square root of both sides )

x = [tex]\sqrt{9}[/tex] = 3

Answer:

6*5*4*3*2*1 = 6! = 720

Step-by-step explanation:

There are 720 three digit numbers that can be created from the digits provided given that no digit may be repeated.

A permutation is defined as a mathematical process which determines the number of different arrangements in a set of objects when the order of the sequential arrangements.

Arithmetic operations can also be specified by the subtract, divide, and multiply built-in functions.

The operator that perform arithmetic operation are called arithmetic operators .

Operators which let do basic mathematical calculation

+ Addition operation : Adds values on either side of the operator.

For example 4 + 2 = 6

- Subtraction operation : Subtracts right hand operand from left hand operand.

for example 4 -2 = 2

* Multiplication operation : Multiplies values on either side of the operator

For example 4*2 = 8

There are six choices to begin with and that quantity decreases by one every time the next digit is chosen as shown below:

⇒ 6*5*4*3*2*1

⇒ 6!

⇒ 720

Hence, there are 720 three digit numbers that can be created from the digits provided given that no digit may be repeated.

Learn more about permutation here:

brainly.com/question/1216161

#SPJ2

Answer:

-8x² - 106x + 175 = 0

Step-by-step explanation:

Given:

(2x - 7)²- 6(2x - 7)(x-3) = 0

Find:

Solution of the following explanation

Computation:

(2x - 7)²- 6(2x - 7)(x-3) = 0

[(2x)² + (7)² - (2)(2x)(7)] - (12x - 42)(x-3) = 0

[4x² + 49 - 28x] - [12x² - 36x - 42x + 126] = 0

[4x² + 49 - 28x] - [12x² - 78x + 126] = 0

-8x² - 106x + 175 = 0

Answer:

70.875

Step-by-step explanation:

Area of park=Area of rectangle+Area of triangle

Area of park=13.5*4.8+(0.5)*(13.5)*0.9=70.875

Consider this example: say we want to convert x = 11 0101 1001₂ to base 3.

The binary expansion of x is

x = 1×2⁹ + 1×2⁸ + 1×2⁶ + 1×2⁴ + 1×2³ + 1×2⁰

which in base 10 reduces to

x = 512 + 256 + 64 + 16 + 8 + 1 = 857

Recall the first several powers of 3:

3⁰ = 1; 3¹ = 3; 3² = 9; 3³ = 27; 3⁴ = 81; 3⁵ = 243; 3⁶ = 729

Now it's a matter of computing quotients and remainders. Pick the largest power of 3 that fits into the target number, then check the remainder and repeat.

• How many times does the 729 go into 857? 1 time, and it leaves a remainder of 128, or

857 = 1×729 + 128 = 1×3⁶ + 128

• How many times does 81 go into 128? Also 1 time, so

128 = 1×81 + 47 = 1×3⁴ + 47

• How many times does 27 go into 47? Also 1 time,

47 = 1×27 + 20 = 1×3³ + 20

• How many times does 9 go into 20? 2 times,

20 = 18 + 2 = 2×9 + 2 = 2×3² + 2

• How many times does 1 go into 2? Also 2 times,

2 = 2 + 1 = 2×1 + 0 = 2×3⁰

So we found

857 = 1×3⁶ + 1×3⁴ + 1×3³ + 2×3² + 2×3⁰

which is the ternary expansion of x,

x = 1 011 202₃

Answer:

3√3 + √6 is the answer. so none is correct.

Step-by-step explanation:

= 3√3 + √6 + √12 - 2√3

= 3√3 + √6 + √4 X 3 - 2√3

= 3√3 + √6 + 2√3 - 2√3

= 3√3 + √6

Answer:

x = 105.41

Step-by-step explanation:

24•log(3x) = 60

Divide by 24

log (3x) = 60/24

log (3x) = 5/2

Raise each side to the power of 10

10 ^ log (3x) = 10^5/2

3x= 10 ^5/2

Divide by 3

3x/3 = 1/3   * 10 ^ 5/2

x = 1/3 (100 sqrt(10))

x=105.40925

To two decimal places

x = 105.41

Hi there!

Looking at the graph, the first intersection point is clear. The red parabola and  blue line clearing intersect at the point (0, -1).

Find the second intersection point by setting the equations of both graphs equal to each other.

Line: y = 3x - 1

Parabola: y = 4x² - 1

Find another intersection point by setting these two equations equal to each other:

4x² - 1 = 3x - 1

Bring all terms onto one side:

4x² - 3x = 0

Factor out x:

x(4x - 3) = 0

Set 4x - 3 to 0 and solve:

4x - 3 = 0

4x = 3

x = 3/4

Plug in this value of x into an equation to solve for the y-coordinate. Use the linear equation for ease:

y = 3(3/4) - 1

y = 9/4 - 1

y = 5/4

(3/4, 5/4)

Answer:

Step-by-step explanation:

bearing is the angle which a line makes with the north.

Answer:

2

Step-by-step explanation:

x-2x÷2=20

x-x=20

0=30

no solution