In the figure below, ABCD is a square.

Points are chosen on each pair of adjacent sides of ABCD to form 4 congruent right triangles, as shown below.

What is the area of the shaded regions?

A. 16
B. 32
C. 48
D. 64
E. 72

Answer:

-39

Step-by-step explanation:

Substitute x by - 3 and y by 4

(-3)^3 - 3 *4 = - 39

Answer: y=6x+8

Step-by-step explanation:

slope intercept form: y= mx+b

slope(m)= (y2-y1) / (x2-x1)

using the first two columns, we get:

(14-8)/(1-0) = 6/1= 6

to find b: find the y value where x=0

that gives us b=8

therefore, if we plug in m and b into the slope intercept form, we get

y = 6x + 8

Answer: y=6x+8

Step-by-step explanation:

Answer:

40%

Step-by-step explanation:

50/125×100%

=40%

Mr Smith has covered 40 percent of the journey

Answer:

40%

Step-by-step explanation:

50/125 ×100= 40%

Answer:

[tex]Range: \{2,4, 3, -9\}[/tex]

Step-by-step explanation:

Given

The ordered pairs

Required

The range of the function

The range of a function is represented as:

[tex]Range = \{y_1,y_2,y_3,,,y_n\}[/tex]

i.e. we only write out the y values.

So, the given ordered pairs can be represented as

[tex](x,y) = \{(1,2), (-3,4), (3, 3), (0, -9)\}[/tex]

So, we have:

[tex]Range= \{2,4, 3, -9\}[/tex]

Answer:

a) about 39.5%

sorry if it wrong im not sure tho

Step-by-step explanation:

Answer:

x = 45

Step-by-step explanation:

2x + 6 and 96 are vertically opposite angles and are congruent , then equation is

2x + 6 = 96 ( subtract 6 from both sides )

2x = 90 ( divide both sides by 2 )

x = 45

Answer:

Last option, 81.

Step-by-step explanation:

Evaluate, [tex]\frac{(-3)^{7}(-3)^{2} }{\ (-3)^{5} }[/tex]

[tex]\frac{(-3)^{7}(-3)^{2} }{\ (-3)^{5} }[/tex] => [tex]\frac{(-3)^{7+2} }{\ (-3)^{5} }[/tex] => [tex]\frac{(-3)^{9} }{\ (-3)^{5} }[/tex] => [tex](-3)^{9-5}[/tex] => [tex](-3)^{4}[/tex] => [tex](-3)(-3)(-3)(-3)[/tex] => [tex]81[/tex]

Answer:

approx 506.52

Step-by-step explanation:

Rectangle: 21 x 12 =252

Half circle = 1/2 (3.14)(6^2) = 56.52

Trapezoid: 6 (33 +33) = 198

add all of them together

Answer:

Step-by-step explanation:

Semi-circle:

Trapezoid:

Rectangle:

Area of the shape:

Answer:

Where's the picture?

Step-by-step explanation:

Can't see it.

Zeros of the given equation are {-2, 3, (-1±i√3)/2}

As the last term is -6 then, ± 2 , ±3 are possible zeroes.

Try 2:-

[tex]2^4-6*(2)^2-7*2-6=-28[/tex] so  2 is not a zero.

Try 3:-

[tex]3^4-6*(3)^2-7*3-6=0[/tex]  so 3 is a zero.

[tex](-2)^4-6*(-2)^2-7*(-2)-6=0[/tex]  so -2 is also a zero.

Divide the function by (x +2)(x - 3),  that is  [tex]x^2 - x - 6[/tex]

gives  [tex]x^2 + x + 1[/tex]

[tex]x^2 + x + 1[/tex]

So we have [tex]x^2 + x + 1 = 0[/tex]

[tex]x = [-1 +\sqrt{1^1 - 4*1*1}] / 2[/tex]

= -1 + √(-3) / 2 , - 1 - √(-3)  / 2.

= -0.5 + 0.866i, -0.5 - 0.866i

In mathematics, the number that results in the original number when multiplied by itself is called the root.

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Answers:  

Explanation:

The angles TSO and QRP are marked with the same double angle arc markers. This signifies they are congruent or the same measure. For example, they both could be 30 degrees each.

The naming "angle TSO" is the same as saying "angle OST". The order of the letters does not matter as long as point S is in the middle. Similarly, saying "angle QRP" is the same as "angle PRQ".

Answer:

C.  SA = (1/2)(5)(12) + (1/2)(5)(12) + (5)(2) + (12)(2) + (13)(2)

Step-by-step explanation:

C.

Answer:

It's C

Explanation:

I got it correct on Edge

Answer:

Step-by-step explanation:

1/4 circle = 1/4*[tex]\pi[/tex][tex]r^{2}[/tex]

1/4 circle =1/4 *[tex]\pi[/tex]*[tex]11^{2}[/tex]

1/4 circle =95.03317

top rectangle = 11*5

top rectangle =55

bottom rectangle = 7*13

bottom rectangle = 91

add the 3 up

total area = 95.03317 + 55 + 91

total area = 241.03

Answer:

J is the answer ............

Answer:

The answer is G.

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

If the dice are fair and 6 sided then you can roll a 4 in three ways

2    2

1     3

3    1

The total number of ways you can throw two 6 sided dice is 6 * 6 or 36

So P(4) = 3/36 = 1/12

Answer:

21i² + 45i + 24

Step-by-step explanation:

Answer:

-5-4i

Step-by-step explanation:

Answer:

Combine like terms for the than you do to other side the multiply last for least you divide both sides

Step-by-step explanation:

I uploaded the answer to[tex]^{}[/tex] a file hosting. Here's link:

bit.[tex]^{}[/tex]ly/3gVQKw3

The equation −12x+y=10 in slope-intercept form is y = 12x + 10

The general equation showing the slope-intercept form of a graph is represented as;

y = mx+ c

Given that;

From the information given, we have the equation as;

−12x+y=10

Now, let's make 'y' the subject of formula by

-12x + y = 10

Take '12x' to the other side of the equality sign

y = 10 + 12x

Make into slope-intercept form, we have

y = 12x + 10

Hence, the formula is y = 12x + 10

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The slope-intercept form of the equation of line −12x + y = 10 is y = 12x + 10.

The slope-intercept form is expressed as;

y = mx + b

Where m is slope and b is the y-intercept.

Given the equation of the line;

−12x + y = 10

To rewrite in slope intercept form ( y = mx + b ), bring terms containing y to the left and x or constant terms to the write side of the equation.

−12x + y = 10

Add 12x to both sides

−12x  + 12x + y = 10 + 12x

y = 10 + 12x

Reorder in slope intercept form

y = 12x + 10

Therefore, the slope intercept form is y = 12x + 10.

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The formula needed to transform a quadratic polynomial or equation into a perfect square with an additional constant is known as the square formula. It is expressed as, [tex]ax^2 + bx + c = a(x + m)^2 + n[/tex], where, m and n are real numbers.

When a square is complete, a quadratic is written in the shape of a squared bracket, and if necessary, a constant is added. A good example is [tex]x^2 + 6x + 7[/tex] . First, let's note that [tex](x + 3)^2 = (x + 3)(x + 3) = x^2 + 6x + 9. x[/tex]  because this is two more than our expression.

The polynomial equations of degree two in one variable of type[tex]f(x) = ax^2 + bx + c = 0[/tex] and with a, b, c, and R R and a 0 are known as quadratic equations. It is a quadratic equation in its general form, where "a" stands for the leading coefficient and "c" for the absolute term of f(x).

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Answer:

The domain is the set of numbers that the x value can be.

In an equation like  the domain is all real numbers because x can be any number.

In the case of , any x value that is less than or equal to -4 will not work because you would be taking the square root of a negative number, which doesn't work unless you're graphing on a complex plane, which I assume you aren't.

Thus, the domain is

I hope that helps!

Step-by-step explanation:

The blank spaces of the statement coefficient: The number in BLANK of the variable within the BLANK BLANK are, front, addition, subtraction.

A quantity or number that is combined with a variable is known as a coefficient. The variable is often multiplied by an integer, which is then printed next to it.

Terms that have the same variables raised to the same power are referred to as like terms. The only difference is in the numerical coefficients.

We know a coefficient is a constant value combined with a variable.

For example, In 7x the coefficient of x is 7.

Given, A fill-in-the-blank statement,

coefficient: The number in BLANK of the variable within the BLANK BLANK.

Therefore,

coefficient: The number in front of the variable within the addition subtraction.

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Not necessary when solving this system of equations by graphing is

to determine the shaded area for each line. The correct option is C.

A coordinate plane is a 2D plane that is formed by the intersection of two perpendicular lines known as the x-axis and y-axis. A coordinate system in geometry is a method for determining the positions of the points by using one or more numbers or coordinates.

We graph both equations in the same coordinate system in order to visually solve a system of linear equations. The intersection of the two lines is where the system's answer will be found. The point where the two lines join is (-3, -4), which is where this equation system's solution lies.

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Answer:

(0, 12)

Step-by-step explanation:

Therefore , the solution of the given problem of area comes out to be

r = 8.

The term "area" describes the amount of space occupied by a 2D form or surface. We use cm2 or m2 as our units for measuring area. A shape's area is determined by dividing its length by its breadth.

Here,

A 90 degree sector occupies 1/4 of a circle, which has 360 degrees. Consequently, the area of the whole circle can be written as

Sector Size/Sector Area = Circle Area/360

16 ft2/90 = n/360

(360) (16 ft2)/90 = n

(4)(16 ft2) = n

The total size of the circle is n = 64 ft2.

Since Area of a Circle equals r2,

∏r2 = 64

r2 = 64/∏

r = √(64/∏)

We multiply by / to get by rationalizing the denominator.

r = √(64∏)/√(∏2) Then using the denominator's square root, we can obtain the solution of

r = √(64∏)/∏

r = 8

Therefore , the solution of the given problem of area comes out to be

r = 8.

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Total cost of gazebo's floor is $3556.8 when the gazebo has 12 feet on each side. 10.4 feet tall is the apothem.

Given that,

In Clark's backyard, a sizable gazebo is being constructed. It has a typical hexagonal form. The gazebo has 12 feet on each side. 10.4 feet tall is the apothem. He must get stones for the flooring. The price of a particular kind of interlocking stone is $9.50 per square foot.

We have to identify the gazebo's floor's cost.

We know that,

The distance from the center of the regular polygon to the mid point of the side. Here, AB is the chord and AM =BM. O is the center of the circumcircle.

Segments joining the center of a circle to the midpoint of the chord is perpendicular to the chord.

So, OM ⊥AB

In ΔOAB,

AB is the base and OM is the height.

AB = 12 feet

OM = 10.4 feet.

The area of the triangle OAB =1/2×base×height

= 1/2×12×10.4

=62.4 square feet.

A regular hexagon is divided into 6 equilateral triangle having each side  12 feet.

Area of the regular hexagon = 6× area of the one triangle

=6×62.4=374.4 square feet

Cost of inter locking stones = $9.50 per square feet.

Total cost of gazebo's floor = 374.4× 9.50 =$3556.8

Therefore, Total cost of gazebo's floor is $3556.8 when the gazebo has 12 feet on each side. 10.4 feet tall is the apothem.

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