An object is translated by (x-2, y-6). If one point in the pre-image has the coordinates (-3, 7,) what would be the coordinates of this image

Answer:

13

Step-by-step explanation:

Step 1: Write out expression

(3 - 2i)(3 + 2i)

Step 2: FOIL

F - 9

O - 6i

I - -6i

L - -4i²

Step 3: Combine

9 + 6i - 6i - 4i²

Step 4: Combine like terms

9 - 4i²

Step 5: Simplify

i² = -1

9 - 4(-1)

9 + 4

13

Answer:

The possible coordinates of the midpoint are 3 and -3

Step-by-step explanation:

The given information are;

The coordinate of the point A on a (horizontal) number line = 0

The length of AR =

The coordinate of the midpoint of AR are given as follows;

Coordinate of the midpoint = Coordinate of A ± (Length of AR)/2 which gives;

The possible coordinates of the midpoint as 0 + 6/2 = 3 or 0 - 6/2 = -3

The possible coordinates of the midpoint are 3 and -3

Answer:

we need to so the functions

Step-by-step explanation:

Answer:

See Explanation

Step-by-step explanation:

∠ABD ≅ ∠BDE..... (given).... (1)

m∠ABD + m∠CBD = 180°... (straight line ∠'s)... (2)

From equations (1) & (2)

m∠BDE + m∠CBD = 180°....(3)

m∠BDE + m∠CDB = 180°... (straight line ∠'s)... (4)

From equations (3) & (4)

m∠BDE + m∠CBD = m∠BDE + m∠CDB

m∠CBD ≅ m∠CDB.. (Proved)

Answer:

infinite solutions

Step-by-step explanation:

Given

4(x - 3) = 2x + 2x - 6 - 6 ← distribute left side and simplify

4x - 12 = 4x - 12

Since both sides are equal then the equation has an infinite number of solutions.

Answer:

I S

Step-by-step explanation:

Answer:

adults 2

children 3

Step-by-step explanation:

x + y = 5

12x + 9y = 51

x = 5 - y

12(5 - y) + 9y = 51

60 - 12y + 9y = 51

-3y + 60 = 51

-3y = 51 - 60

-3y = -9

y = -9/-3

y = 3

x = 5 - y

x = 5 - 3

x = 2

Answer:

  10, 11, 13, 16, 20

Step-by-step explanation:

Any 4 numbers can be added to the sequence starting with 10. Perhaps you're supposed to use a rule to choose the numbers. For any 4 numbers you might add to the sequence, a rule can be determined.

The rules we usually use are ones that require a constant difference or a constant ratio. The sequence shown above uses the rule that the difference from the previous value is 1 more than the difference between the previous two values.

Answer:

Ok, we know that the width of the door is 4.20m.

Then, if the arc is at the top of the door, we will have that the diameter of that "half circle" will be equal to the width of the door.

Then the diameter of the arc is 4.20m

And the radius is defined as half of the diameter, so we have:

radius = 4.20m/2 = 2.10m

And we can write this in cm (because the probelm ask for it)

1m = 100cm

then 2.10m = 2.1*100cm = 210cm

Now, we know that the perimeter of a circle is:

P = 2*pi*r

where pi = 3.14

Then the perimeter (or arc) of half a circle will be half of that:

Arc = (2*pi*r)/2 = pi*r

and r = 210cm, pi = 3.14

Arc = 3.14*210cm = 659.4cm

Answer:

10

Step-by-step explanation:

17 -5 times 2 + 3

Step 1:

17 - 10 + 3

Step 2:

7 + 3

Step 3:

10

Answer:

10

Step-by-step explanation:

Equation:

17 - 5 times 2 + 3

First Step:

Multiplying is first in the order of operations so

17 - 10 + 3

Second Step:

Then adding and subtracting are the same so you do the equation left to right

7 + 3

Answer:

Then you just add it

10

The perimeter of each polygon created by the coordinates is 15.2 units

The coordinates are given as:

A(-2, 3), B(3, 1), C(-2, -1), D(-3, 1)

Calculate the distance between each point using

d = √(x2 - x1)^2+ (y2 - y1)^2

So, we have:

dAB = √(-2 - 3)^2+ (3 - 1)^2 = 5.4

dBC = √(3 + 2)^2+ (1 + 1)^2 = 5.4

dCD = √(-2 + 3)^2+ (-1 - 1)^2 = 2.2

dDA = √(-3 + 2)^2+ (1 - 3)^2 = 2.2

The perimeter is calculated as:

P = 5.4 + 5.4 + 2.2 + 2.2

Evaluate

P = 15.2

Hence, the perimeter of each polygon created by the coordinates is 15.2 units

Read more about perimeter at:

https://brainly.com/question/24571594

#SPJ1

Answer:

A score of 314 is needed to be in the top 25% of students who take this exam.

Step-by-step explanation:

We are given that one of the tests provided by the NAEP assesses the reading skills of twelfth-grade students. In recent years, the national mean score was 289 and the standard deviation was 37.

Let X = scores of the tests provided by the NAEP

The z-score probability distribution for the normal distribution is given by;

                           Z  =  [tex]\frac{X-\mu}{\sigma}[/tex]  ~ N(0,1)

where, [tex]\mu[/tex] = national mean score = 289

           [tex]\sigma[/tex] = standard deviation = 37

Now, we have to find how high a score is needed to be in the top 25% of students who take this exam, that means;

            P(X > x) = 0.25     {where x is the required score}

            P( [tex]\frac{X-\mu}{\sigma}[/tex] > [tex]\frac{x-289}{37}[/tex] ) = 0.25

            P(Z > [tex]\frac{x-289}{37}[/tex] ) = 0.25

In the z table, the critial value of z that represents the top 25% of the area is given as 0.6745, that is;

                        [tex]\frac{x-289}{37}=0.6745[/tex]

                        [tex]{x-289}=0.6745\times 37[/tex]

                        x = 289 + 24.96 = 313.96 ≈ 314

Hence, a score of 314 is needed to be in the top 25% of students who take this exam.

Answer:

Hey there!

1+(-5)=1-5

1-5 = -4

Let me know if this helps :)

Step-by-step explanation:

Yes. The cube root of a negative number will be negative.

For example, (-2)^3 = -8. The cube root of -8 is -2.

Answer:

Yes, it would be negative

Step-by-step explanation:

Yes, the cube root of a negative number can be found without using imaginary numbers to represent it.

The cube of a number is that number multiplied by itself 3 times so:

a^3 = a*a*a

if "a" is negative then the cube of "a" will be negative. Hence the cube root of a negative number will be negative.

Answer:

.5

Step-by-step explanation:

Hope this helps.

Answer:

I know it’s 5 days late but yeehaw

Step-by-step explanation:

Answer:

∠64° and ∠26°

Step-by-step explanation:

Complementary angles add up to 90° total (two angles).

Lets give variable values to each angle:

x= 12 more than twice the measure of the complement

y= complement

Write an equation equaling to a total of 90:

[tex]x+y=90[/tex]

Write an algebraic expression for the value of x:

[tex]12+2y[/tex]

Insert the value for x into the equation:

[tex]12+2y+y=90[/tex]

Simplify and solve for y:

[tex]12+3y=90\\\\12-12+3y=90-12\\\\3y=78\\\\\frac{3y}{3}=\frac{78}{3}\\\\ y=26[/tex]

The value of y is 26. Insert this value into the original equation and solve for x:

[tex]x+26=90\\\\x+26-26=90-26\\\\x=64[/tex]

The value of x is 64. So, the complemenatry angles are 64° and 26°.

:Done

From the given measure whose angle is  12° more than twice the measure of its complement.

The measure of the two angles is 64° and 26° respectively.

Complementary angles are angles whose sum is equal to 90°. It is usually composed of two angles complementing themselves. Hence, the term complementary angles.

Mathematically;

∴

p + q = 90°    ( complemntary angles)

If one of the angles is 12 more than twice its complement;

i.e.

Let p = 12

SO, the algebraic equation for the value of p is:

12 + 2q = 90

Replacing the value of q to solve the equation, we have:

12 + 2q + q = 90

12 + 3q = 90

3q = 90 - 12

3q = 78

q = 78/3

q = 26°

From p + q = 90°    ( complemntary angles)

Replacing the value of q = 26°, we have:

p + 26° = 90°

p = 90° - 26°

p = 64°

In conclusion, the measure of each angle is 64° and 26°.

Learn more about complementary angles here:

https://brainly.com/question/15592900?referrer=searchResults

Answer:7

Step-by-step explanation:

5+2=7

Answer:

29 seeds total

Step-by-step explanation:

26 (1) + 3 = 29

Answer:

-3.1332

Step-by-step explanation:

-0.5x-1.2=0.6

0.6x5.222=-3.1332

Answer:

hope this is the correct figure for your question

Answer:

1/10???????????????????????

Answer:

3

Step-by-step explanation:

(x + 7)(x - 4)

= x · x + x · (-4) + 7 · x + 7 · (-4)

= x² - 4x + 7x - 28

= x² + 3x - 28

Hence, g = 3.

Answer:

C. 3

Step-by-step explanation:

Got it right on edge

Answer: D

Step-by-step explanation: sub to my yt clizey

Answer:

(D)

Step-by-step explanation:

Answer: :P

adjfdfdjskfabdklnfkbsb;dowafdsbkcbsnbw;abbu;rgsdj;sk

Answer:

(- 6, 0 ) , (2, 0 )

Step-by-step explanation:

To find the x- intercepts let f(x) = 0, that is

x² + 4x - 12 = 0 ← in standard form

(x + 6)(x - 2) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 6 = 0 ⇒ x = - 6

x - 2 = 0 ⇒ x = 2

Thus the x- intercepts are (- 6, 0 ), (2, 0 )

Answer:

23.33%

Step-by-step explanation:

The computation of the percentage of days in a month for running out of cash is shown below:

Percentage of running out of Cash is

= (Relevant Occurrence  of an event ÷  Total number of events) × 100%

where,

The Relevant occurrence of an event is 7 (105,94,101,98,94,96,92)

And, the total number of events is 30 i.e. 30 days

So, the percentage is

= 7 ÷ 30 × 100

= 23.33%

Answer:

29

Step-by-step explanation:

showing what equal it is to it

Answer:

1/2, or 50%

Step-by-step explanation:

1 Dice has 6 possible outcomes, rolled twice equal 12 "different" outcomes, since there are 3 numbers that are 3 or below, and 3 numbers about 3, then the change of getting a number above three is 1 in 2.