8 and 10 in independent practice please

Answer:

A(-3 , 3)  B(-4 , 7)  C(2 , 6)  D(3 , 2)

Step-by-step explanation:

Rotation of the parallelogram about the point P(4, 1), is done by taking

point P as the origin, and using relative coordinates for the rotation.

Reasons:

The given parameters are;

Vertices of the parallelogram ABCD are;

A(6, 8), B(10, 9), C(9, 3) and D(5, 2)

Point about the parallelogram is rotated = P(4, 1)

Angle of rotation = 90°

Direction of rotation = Counterclockwise

90° rotation counterclockwise of (x, y) about the origin gives → (-y, x)

Therefore, we have;

The given points relative to the point P are;

A'(6-4, 8 - 1) = A'(2, 7)

B'(10 - 4, 9 - 1) = B'(6, 8)

C'(9 - 4, 3 - 1) = C'(5, 2)

D'(5 - 4, 2 - 1) = D'(1, 1)

Therefore, we get;

A'(2, 7) [tex]\underrightarrow {R_{180^{\circ}}}[/tex] A''(-7, 2)

B'(6, 8) [tex]\underrightarrow {R_{180^{\circ}}}[/tex] B''(-8, 6)

C'(5, 2) [tex]\underrightarrow {R_{180^{\circ}}}[/tex] C''(-2, 5)

D'(1, 1) [tex]\underrightarrow {R_{180^{\circ}}}[/tex] D''(-1, 1)

Which then gives;

The image location are;

A(-7 + 4, 2 + 1) = A(-3, 3)

B''(-8 + 4, 6 + 1) = B(-4, 7)

C''(-2 + 4, 5 + 1) = C(2, 6)

D''(-1 + 4, 1 + 1) = D(3, 2)

Therefore, we have;

A(-3, 3), B(-4, 7), C(2, 6), and D(3, 2)

Learn more here:

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https://brainly.com/question/17597117

Answer:

117

Step-by-step explanation:

Each angle of a regular pentagon = 108

Each angle of regular octagon = 135

135+ 108 + ∠SBY = 360

       243 + ∠SBY = 360

                 ∠SBY = 360 - 243

∠SBY = 117°

Answer:

2436 cubic centimeters

Step-by-step explanation:

11 * 14 = 154

14 * 7 / 2 = 49

154 + 49 = 203

203 * 12 = 2436

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    5*x+2*y-(4)=0

Equation of a Straight Line

1.1     Solve   5x+2y-4  = 0

Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line  5x+2y-4  = 0 and calculate its properties

Graph of a Straight Line :

Calculate the Y-Intercept :

Notice that when x = 0 the value of y is 2/1 so this line "cuts" the y axis at y= 2.00000

 y-intercept = 4/2  =  2  

Calculate the X-Intercept :

When y = 0 the value of x is 4/5 Our line therefore "cuts" the x axis at x= 0.80000

 x-intercept = 4/5  =  0.80000  

Calculate the Slope :

Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is 2.000 and for x=2.000, the value of y is -3.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of -3.000 - 2.000 = -5.000 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

   Slope     = -5.000/2.000 = -2.500  

Geometric figure: Straight Line

 Slope = -5.000/2.000 = -2.500

 x-intercept = 4/5 = 0.80000

 y-intercept = 4/2 = 2

The GCF of numbers is the greatest common factor of the numbers.

The numbers are given as: 4 and 9.

Factorize both:

[tex]\mathbf{4 = 1 \times 2 \times 2}[/tex]

[tex]\mathbf{9 = 1 \times 3 \times 3}[/tex]

The common factor between  both is 1.

So, we have:

[tex]\mathbf{GCF = 1 }[/tex]

Hence, the GCF of 4 and 9 is 1

Read more about GCFs at:

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Answer:

Step-by-step explanation:

Let the number is x in each case.

Use the property below:

We have:

Answer:

[tex]\log_31=0[/tex]

[tex]\log_33=1[/tex]

[tex]\log_3\left(\frac{1}{9}\right)=-2[/tex]

[tex]\log_{3}81=4[/tex]

Step-by-step explanation:

[tex]\textsf{Apply log law}: \quad \log_ax=c \iff x=a^c[/tex]

Therefore:

[tex]\log_3x=0 \implies x=3^0=1[/tex]

[tex]\log_3x=1 \implies x=3^1=3[/tex]

[tex]\log_3x=-2\implies x=3^{-2}=\dfrac{1}{3^2}=\dfrac{1}{9}[/tex]

[tex]\log_3x=4 \implies x=3^4=81[/tex]

Additionally, the logarithm of 1 with any base is always zero:

[tex]\log_a1=0[/tex]

The logarithm of the same number as the base is always 1:

[tex]\log_aa=1[/tex]

Answer:

D)

Step-by-step explanation:

Answer:

parallelogram

hexagon  

octagon

rectangle

Step-by-step explanation:

Answer:

parallelogram

hexagon  

octagon

rectangle

Answer:

(B) all surveys have a sampling error.

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Given expression :-

It will be composite if it will has more than 2 factors ( other than 1 and itself )

If n = 1 :-

If n = 2 :-

If n = 3 :-

Answer:

the range is the set of possible output of values

Step-by-step explanation:

The range is the set of y-values (OUTPUT) that map to the set of x-values (INPUT).

Answer:

A.54

Step-by-step explanation:

because 162 divided by 3 equal 54.3

Answer:

The answer is 2a^3\sqrt11a

Step-by-step explanation:

Simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.

Answer:

2[tex]2\sqrt{11} a^{3} \sqrt{a}[/tex]

Step-by-step explanation:

Apply Radical rule: ([tex]\sqrt{ab}= \sqrt{a}\sqrt{b}[/tex])

Which gets you:

[tex]\sqrt{44a^{7} }=\sqrt{44}\sqrt{a^{7} }[/tex]

= [tex]\sqrt{44} \sqrt{a^{7} }[/tex]

Simplify and gets you the answer above

Answer:

[tex]\sf\longmapsto0.13 miles/hour[/tex]

Step-by-step explanation:

Firstly we have to use the formula to find the miles/hour

[tex]\sf\longmapsto \: Formula:Divide \: the \: speed \: value \: by \: 26.822.[/tex]

[tex]\sf\longmapsto \: 3.5 \div 26.822[/tex]

[tex]\sf\longmapsto \: 0.13 miles/hour[/tex]

Answer:

The Answer is 16

Step-by-step explanation:

The three angles enclosed in a triangle, made by its sides, are called its internal angles. The sum of internal angles of a triangle is

180

o

. Based on its internal angles, a triangle can be classified as acute angled, right angled and obtuse angled.

Your Welcome! :)

The sum of the measure of angle of a triangle = 180° .

Given two angles = 92° and 72°

_________________________

92° + 72° = 164°

180° - 164° = 16° (Ans)

Answer:

Two hours later his brother leaves from first and maple and comes after him on a moped travelling 27 mph, His uphill speed was 8 miles per hour slower than his downhill speed.

Step-by-step explanation:

Answer:

46, 57 , 67

Step-by-step explanation:

Acute scalene triangle : A triangle in which all three angles are less then 90 degrees and all three angles are different measurements .

have a good day

Answer:

Step-by-step explanation:

3. x^2 +3x=54

x^2 +3x -54 = 0

(x-9)(x+6) = 0

x = 9 and x = -6

4. X^2 - 10x + 21 [(x - 7)(x - 3)

Answer:

40% increase

Step-by-step explanation:

10 is you 100%

if it increased to 14, then that means your 100% = 10 increased +4 which is the 40%

Answer:

8(n - 7)

Step-by-step explanation:

let the number be n then the difference of n and 7 is n-7

8 times this difference is

8(n - 7)

Answer: 8(n-7)

Step-by-step explanation:

it should be that <3

Answer:

Removing the cat's eye is the beginning of the end, so to speak, for the narrator. Until that moment, the cat had thus far escaped his drunken cruelty, so this act signifies that the narrator had reached a certain mental point: there were no longer any limits to his violent behavior.

Step-by-step explanation:

Answer:

Parallel: y=2x+3

Perpendicular= 1/2x+6

Answer:

Step-by-step explanation:

Given is the absolute value function.

Observations:

We need to find the coordinates of intersection of the line P₁P₂ with the y- axis (the point Y in the picture).

Consider the triangle AYP₂.

We know AP₂ = 5.

The angle YAP₂ is:

The distance AY is:

The distance from the x-axis to the point Y is:

The coordinates of the point Y:

Answer:

5.73

Step-by-step explanation:

The difference is 5.73.

Answer:

Just show basic multiplication skills that we learned in 3th grade i suppose since your teacher dosen't have a brain to figure this out