5. The corners of triangle PQR lie on a circle. PQ = 3i + 4j and PR = -8i + 6j. By showing that the triangle is right-angled, or otherwise, find the area of the circle. [8]

Answer:

10.50$

Step-by-step explanation:

if you take the 30 percent discount off of 35 dollars then you will get 10.50

Answer:

Same lol

Step-by-step explanation:

Answer:

Bored, but I'm good :) how are you?

Answer:

f(x) = 2(x + 3)² + 1 corresponds to graph C.

f(x) = -2(x + 3)² + 1 corresponds to graph D.

f(x) = 2(x - 3)² + 1 corresponds to graph A.

f(x) = -2(x + 3)² - 1 corresponds to graph B.

Step-by-step explanation: hope its right

Answer:

720

do cross products and put the numbers over each other

Answer:

well it's exponential so b. b=×2 or everytime x goes up by 1 y is multiplied by2

Answer:

x=30 degrees

Step-by-step explanation:

there are 3theorems that can be used for this

vertical angle theorem: vertical angles congruent

triangle sum theorem: all angles in triangle add up to 180 degrees

straight line?? i forgot the name: a straight line is 180 degrees

refer to image attached

measure of angle BAC is 36 degrees by vertical angle theorem.

look at the angle 105 degrees. it and a unknown degree to the left equal 180 because it makes a straight line. so measure of angle BDC is 180-105 degrees. measure of angle BDC is 75 degrees

then sum of all the angles in triangle ABD is 180

36 +(39+x) +75=180 degrees

solve equation

x +150=180

x=30 degrees

hope this helps !!

Answer:

Your idea of building a table is not a bad start if you want accurate points.

Else, it's a parabola. It's y intercept has the non-zero coordinate equal to the constant term (red dot on the graph).

It's x intersects you find by solving

[tex]2x^2+12x+4 = 0 \rightarrow x^2+6x+2=0\\ x_1_,_2= -3\pm\sqrt7\\x_1\approx -0.35\\x_2\approx-5.35[/tex]

(green dots).

Simmetry axis has equation [tex]x=-\frac{b}{2a} = -\frac{12}{4}=-3[/tex] (orange line).

Vertex sits on this line and is in the parabola, so it's other coordinate is

[tex]2(-3)^2+12(-3)+4= -14[/tex] (orange dot).

At that point you either continue with the table, or you go for a "good enough" and try to draw a better looking parabola than mine.

Answer:

15 R7

Step-by-step explanation:

      015

32/ 487

      0

      48

      32

      167

      160

remainder 7

Answer:

Graph A is a function, and Graph B is not

Step-by-step explanation:

A function is when each x-value (aka input) has 1 corresponding y-value (or output).

We see that graph 1 is linear, and that each x-value has it's own y-value, and not multiple y-values.

However, Graph B curves, making it so some of the x-values have more than 1 y-value.

Answer:

Step-by-step explanation:

they are two opposite angles, therefore equal

14x - 4 = 13x + 2

14x - 13x = 2 + 4

x = 6

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

check

14 * 6 - 4 = 13 * 6 + 2

80 = 80

the answer is good

Answer:

Let the Width(W) = X cm

then the length(L)= (2+X)cm

Perimeter(P)= 60cm

P =L+W

L+W =P

(2+X)cm +X cm = 60 cm

2X+2=60

2X=60-2

2X=58

dividing both sides by 2

X=29cm

Width =X

Width =29cm

the width is 29cm

Length= (2+X)cm

= (2+29)cm

= 31cm

the length is 31cm

We will let w represent the width of the rectangle (in centimeters).

We know that the length is 2 cm longer than the width.

So the length is w + 2 .

We can label the rectangle as follows.

The perimeter is given as 60 cm.

So we solve for w as follows.

w + (w + 2) + w + (w + 2) = 60

w + w + 2 + w + w + 2 = 60

4w + 4 = 60

4w = 56

w = 14

Using this value of w, we can find w + 2.

w + 2 = 14 + 2 = 16

ANSWER

length: 16 cm

width: 14 cm

Answer:

Each cube with side lengths of 1/4 have a volume of (1/4)3 which means each cube's volume is 0.015625 cubic units. To find how many cubes are needed to fill the prism, and division by 5• 25

Answer:

miles is the answers for the question

Step-by-step explanation:

please mark me as brainlest

Answer:

Complex roots for polynomials equations will always come in conjugate pairs.  Since 1-2i is a root, 1+2i will also be a root.  (Just switch the sign of the imaginary part to its opposite.)

Step-by-step explanation:

So far we have 1-2i and 1+2i as roots.  We need two more to make a 4th degree polynomial.

x=1 with multiplicity of 2 means that we count the root twice when we write down the polynomial: (x - 1)(x - 1) = (x - 1)2

Putting it all together, we can construct our polynomial of degree 4 as

y = f(x) = (x - 1)(x - 1)[x - (1-2i)][x - (1+2i)]

Multiply the factors (FOIL):

[x - (1-2i)][x - (1+2i)] =

x2 - (1+2i)x - (1-2i)x + (1-2i)(1+2i) =

x2 - x - 2ix - x + 2ix + (1 + 2i - 2i + 4) =

x2 - 2x + 5

(x - 1)(x - 1) = x2 - x - x + 1 = x2 - 2x + 1

Now multiply the two underlined expressions:

y = (x2 - 2x + 5)(x2 - 2x + 1)

= x4 - 2x3 + 5x2 - 2x3 + 4x2 - 10x + x2 - 2x + 5  by multiplying term by term

= x4 - 4x3 + 10x2 -12x + 5 by collecting like terms.

Answer:

The answer to this question is 238 mm^2

Step-by-step explanation:

You are correct!!

good luck on the assignment

Answer:

238 cm²

calculate the area of bigger rectangle:

length * width

11 * (5 + 4 + 5 + 4 )

11 * 18

198 cm²

calculate the area of 2 smaller rectangle:

2 ( length * width )

2 ( 5 * 4 )

2 ( 20 )

40 cm²

total area of both:

40 + 198

238 cm²

Answer:

y-axis :  B) (-4, -3)

y = 1 :     E) (4, 5)

y = x :    C) (-3, 4)

y = -x :   D) (3, -4)

x-axis :  A) (4, 3)

Step-by-step explanation:

y-axis :  B) (-4, -3)

y = 1 :     E) (4, 5)

y = x :    C) (-3, 4)

y = -x :   D) (3, -4)

x-axis :  A) (4, 3)

Reflect in y-axis:  change sign of x-coordinate only

Reflect in x-axis:  change sign of y-coordinate only

Reflect in y = 1 : change sign of y-coordinate and add 2 units

Reflect in y = x : swap numerical values of x and y coordinates AND change signs

Reflect in y = -x : swap numerical values of x and y coordinates (keep original +/- signs)

Answer:

In explanation.

Step-by-step explanation:

1. 5 x 2 =10

5 x 1=5

5 x 2=10

5 x 3=15

5 x 4=20

5 x 6=30

5 x  7=35

5 x 8=40

5 x 9=45

5 x 10=50 and since  5 x 10 is 50 and were looking for 100 a easy way to do that is 50 x 10 which=500 or another easy way is.

100 x 1=100

100 x 2=200

100 x 3=300

100 x 4=400

100 x 5=500

Hope this helps have a great day:)

Step-by-step explanation:

5x2=10

5x6=30

5x4=20

5x4=20

5x100=500

Answer:

There you go!!

Step-by-step explanation:

mark me brainliest!!

[tex]\large\underline{\underline{\maltese{\orange{\pmb{\sf{\: Explanation :-}}}}}}[/tex]

There can be two combinations by which stacy mom make snacks

[tex]9 \div 2 = 4 \\ \sf remainder = 1[/tex]

So, 4 batch of brownies and 1 cookie

[tex]9 - 7 = 5[/tex]

7 batch of cookies and one batch of brownies

Some more possibilities can be there, such as

Answer:

Audrey is eleven years old

Step-by-step explanation:

4x+7=51

-7 - 7

4x/4= 44/4=11

Answer:

Step-by-step explanation:

Let Justin's age be x

Arlene today is 1/4 x

Ten years from now

Arlene:  1/2 (x + 10) = 1/4 x + 10       Remove the brackets

1/2 x + 5 = 1/4x + 10                          Subtract 1/4x from both sides.

1/2 x - 1/4x + 5 = 10                           Combine

1/4x + 5 = 10                                      Subtract 5 from both side

1/4 x = 10 - 5                                      Combine

1/4 x = 5                                             Multiply both sides by 4

x = 5 * 4

x = 20

Arlene is 5 years old (1/4 20) right now

Answer:  Last year, Arlene was 4 years old

Answer:

area

Step-by-step explanation:

In equations like these, A represents area, B represents base, and H represents height.

hope this helps!

Answer: (4, 2)

Step-by-step explanation:

[tex]\left(\frac{-1+9}{2}, \frac{2+2}{2} \right)=\boxed{(4, 2)}[/tex]

Answer: 1,728

Step-by-step explanation: Ok so I'm a little confused? wait i think i got da answer

Answer: 1728

Step-by-step explanation:

its 1728 because 48 x 36 = 1728 EASY

Answer:

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

Step-by-step explanation:

To put this equation into slope-intercept form, we need to isolate y on one side of the equation.

First, we should move 12x to the right side of the equation. To do this, we need to subtract 12x from both sides.

12x - 20y - 12x = -20y (12x and -12x cancel out)

60 - 12x

We are left with;

-20y = 60 - 12x

To isolate y, we need to divide all the terms by -20.

-20y/-20 = y

60/-20 = -3

12x/-20 = [tex]\frac{12}{20}x[/tex]

[tex]\frac{12}{20}[/tex] can be simplified to [tex]\frac{3}{5}[/tex]

So, the equation we are left with is;

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

Hope this helps!

Answer:

The Answer is y=-4x

Step-by-step explanation:

have a good day ♡