3. Triangle JKL is the preimage. Write two algebraic
representations, one for the dilation to triangle I'K'L' and
one for the dilation to triangle J"K"L".
K
K
-241
J"
TL
HOMM Harcourt

Answer:

( x - 5 )² = 75

Step-by-step explanation:

We need to convert the given equation in

So for that , let's complete the square of the given quadratic equation .

=> x² - 3x = 7x - 30

=> x² -3x - 7x + 30 = 0

=> x² - 10x + 30 = 0

=> x² - 2(5)x + 30 = 0

=> x² - 2(5)x +5² -30 = 5²

=> x² - 2(5)x + 5² = 25 +30

=> ( x - 5 )² = 75

Hence wrt the given form , the value of a is (-5) and b is 75 .

Answer:

15.1976 mm²

Step-by-step explanation:

A = πr²

A = 3.14 · 2.2²

A = 15.1976

Answer:

42

Step-by-step explanation:

Add up all of the sides, dont bother with negatives and positives because that does not matter when finding area or perimeter on a coordinate plane

Answer: false

Step-by-step explanation:

Answer:

False because a sequence is geometric if common ratio of all terms of sequence is same.

here 8/6 is not equal 11/8.

Eg: the sequence 3,6,12,… is geometric because 6/3 = 12/6.

Answer:

False

Step-by-step explanation: Volume is calculated in units cubed.

Answer:

(-2,-3)

Step-by-step explanation:

Answer:

166

Step-by-step explanation:

Brainliest and a thanks??

Term 1: 13

Term 2: 26

Term 3: 39

Term 4: 52

Term 5: 65

Term 6: 78

term 7 : 91

Term 8: 104

Term 9: 117

Term 10: 130

Term 11: 143

Term 12: 156

OR 13*12=156

Add 13 every time until you add it 12 times you will get 156. Or you can mulitply 13*12 you will get 156. Multiply is much easier though!!

Hope this helps!

Answer=156

Have a great day!

- Hailey!

(nothing is copied or pasted!!!)

Answer: just multiply the same sides that same number and that add the answers all together

Step-by-step explanation:

Answer:

$168

Step-by-step explanation:

Divide $56 by $2

$56 ÷ $2 = 28

Thus $2 was donated 28 times

He donated $2 every time $6 was spent, then

money spent = 28 × $6 = $168

Answer:

$168

Step-by-step explanation:

We have the following ratio

Spent at shop : donated to charity

6:2

we know that

x:56

To solve this we just mulitply 6 by 28 (28 because this is what we mulitplied the two in our original ratio to reach 56)

6*28=168

[tex] 2,- \frac{1}{3} [/tex]

Answer:

( x-2) ( 3x+1)

3x^2 + x - 6x - 2

x( 3x + 1 ) -2( 3x + 1 )

( 3x + 1 ) ( x - 2 )

either

3x + 1 = 0

3x = -1

x = -1/3

or

x - 2 = 0

x = 2

( -1/3 , 2 )

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

3*x^2+2*x^2+4-(-6*x)=0

Step by step solution :

STEP

1

:

Equation at the end of step 1

(((3 • (x2)) + 2x2) + 4) - -6x = 0

STEP

2

:

Equation at the end of step

2

:

((3x2 + 2x2) + 4) - -6x = 0

STEP

3

:

Trying to factor by splitting the middle term

3.1 Factoring 5x2+6x+4

The first term is, 5x2 its coefficient is 5 .

The middle term is, +6x its coefficient is 6 .

The last term, "the constant", is +4

Step-1 : Multiply the coefficient of the first term by the constant 5 • 4 = 20

Step-2 : Find two factors of 20 whose sum equals the coefficient of the middle term, which is 6 .

-20 + -1 = -21

-10 + -2 = -12

-5 + -4 = -9

-4 + -5 = -9

-2 + -10 = -12

-1 + -20 = -21

1 + 20 = 21

2 + 10 = 12

4 + 5 = 9

5 + 4 = 9

10 + 2 = 12

20 + 1 = 21

Equation at the end of step

3

:

5x2 + 6x + 4 = 0

STEP

4

:

Parabola, Finding the Vertex:

4.1 Find the Vertex of y = 5x2+6x+4

Parabolas have a highest or a lowest point called the Vertex . Our parabola opens up and accordingly has a lowest point (AKA absolute minimum) . We know this even before plotting "y" because the coefficient of the first term, 5 , is positive (greater than zero).

Each parabola has a vertical line of symmetry that passes through its vertex. Because of this symmetry, the line of symmetry would, for example, pass through the midpoint of the two x -intercepts (roots or solutions) of the parabola. That is, if the parabola has indeed two real solutions.

Parabolas can model many real life situations, such as the height above ground, of an object thrown upward, after some period of time. The vertex of the parabola can provide us with information, such as the maximum height that object, thrown upwards, can reach. For this reason we want to be able to find the coordinates of the vertex.

For any parabola,Ax2+Bx+C,the x -coordinate of the vertex is given by -B/(2A) . In our case the x coordinate is -0.6000

Plugging into the parabola formula -0.6000 for x we can calculate the y -coordinate :

y = 5.0 * -0.60 * -0.60 + 6.0 * -0.60 + 4.0

or y = 2.200

Solve Quadratic Equation by Completing The Square

4.2 Solving 5x2+6x+4 = 0 by Completing The Square .

Divide both sides of the equation by 5 to have 1 as the coefficient of the first term :

x2+(6/5)x+(4/5) = 0

Subtract 4/5 from both side of the equation :

x2+(6/5)x = -4/5

Now the clever bit: Take the coefficient of x , which is 6/5 , divide by two, giving 3/5 , and finally square it giving 9/25

Add 9/25 to both sides of the equation :

On the right hand side we have :

-4/5 + 9/25 The common denominator of the two fractions is 25 Adding (-20/25)+(9/25) gives -11/25

So adding to both sides we finally get :

x2+(6/5)x+(9/25) = -11/25

Adding 9/25 has completed the left hand side into a perfect square :

x2+(6/5)x+(9/25) =

(x+(3/5)) • (x+(3/5)) =

(x+(3/5))2

Things which are equal to the same thing are also equal to one another. Since

x2+(6/5)x+(9/25) = -11/25 and

x2+(6/5)x+(9/25) = (x+(3/5))2

then, according to the law of transitivity,

(x+(3/5))2 = -11/25

We'll refer to this Equation as Eq. #4.2.1

The Square Root Principle says that When two things are equal, their square roots are equal.

Note that the square root of

(x+(3/5))2 is

(x+(3/5))2/2 =

(x+(3/5))1 =

x+(3/5)

Now, applying the Square Root Principle to Eq. #4.2.1 we get:

x+(3/5) = √ -11/25

Subtract 3/5 from both sides to obtain:

x = -3/5 + √ -11/25

In Math, i is called the imaginary unit. It satisfies i2 =-1. Both i and -i are the square roots of -1

Since a square root has two values, one positive and the other negative

x2 + (6/5)x + (4/5) = 0

has two solutions:

x = -3/5 + √ 11/25 • i

or

x = -3/5 - √ 11/25 • i

Note that √ 11/25 can be written as

√ 11 / √ 25 which is √ 11 / 5

Answer:

edit: 92-17=75

Step-by-step explanation:

when using range you subtract the highest number with the lowest

Step-by-step explanation:

hope it is helpful to you

Step-by-step explanation:

given:20%

solution,

20%

=20/100

=2/10

=1/5

Answer:

is there supposed to be a picture here?

Step-by-step explanation:

Answer:60 inches squared

Step-by-step explanation:

Answer:

60

Step-by-step explanation:

bc i got it right on edg test/ exam 2021

Answer:

81 , 24 AND 108

Step-by-step explanation:

Answer:

5.998

Simplified: 6

Step-by-step explanation:

Answer:

648π cm³

Step-by-step explanation:

Hi there!

The formula to find the volume of a cylinder is r²πh, where r is the radius, π is pi, and h is the height

first, let's find the area of the circle (r²π)

we are given that the radius is 9 cm

so we can square the 9, which is the same as multiplying it by itself

(9*9)=81π

Your answers leave everything in pi, so we can leave the area of the circle as is :)

now, multiply 81π by the height, which is given as 8 cm

81π*8=648π

therefore the answer is 648π cm³

Hope this helps!

Answer:

AB = 16

Step-by-step explanation:

The radius of the circle = 10

From the center of the circle to B = 10 (radius)

Since a right angle is formed at point E, we can apply Pythagorean theorem to find EB.

Thus:

EB² = 10² - 6²

EB² = 100 - 36

EB² = 64

EB = √64

EB = 8

EB = AE = 8

therefore,

AB = AE + EB = 8 + 8

AB = 16

Answer:ab=16

Step-by-step explanation:

Answer:

- 4

Step-by-step explanation:

The set of all possible value that would make the above statement true must be less than 4.

Therefore the only option we have is -4

Answer:49.... yep

Step-by-step explanation: 49,,,

Answer: x = 1!

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

The statement which explains the given options will be Drivers may drive more carefully on rainy days, so the number of speeding tickets decreases. Hence, option C is correct.

According to the Traffic Ordinance, disobeying a rule or following a piece of advice inside the Road Users' Code is not in and of itself an offense, but any such rejection may be looked into in any deliberations (as to if civil or criminal, including litigation for an offense underneath the Road Traffic Ordinance), and may also be relied upon for establishing or negating any liability.

However, it should be emphasized that several of the guidelines in the Car Drivers' Code exactly mirror the law, and anyone who violates these guidelines may be breaking the law.

It means that on rainy days, divers drive very carefully as compared to other days.

To know more about traffic rules:

https://brainly.com/question/28879065

#SPJ2

Answer: x = -3 or if not solving for x then -2x -6

Step-by-step explanation:

1 - 2x - 7 = 0

-6 - 2x = 0

add 2x on both sides

-6 = 2x

divide 2 on both sides

-6/2 = x

x = -3

Answer:

21

Step-by-step explanation:

28x3/4

Answer:

The answer is 628 meters.

Step-by-step explanation:

The area for surface of a cone is pi times the radius (radius plus the square root of the height squared plus the radius squared).

Lol, i know this is really confusing, just look up surface area of a cone formula.

Height squared = 15 * 15 = 225

Radius squared = 8 * 8 = 64

225 + 64 = 289

The square root of 289 is 17

17 + 8 = 25

3.14 * 8 = 25.12

25.12 * 25 = 628 meters.

Could I get Brainliest please?!?!

Answer:

2x the correct answer okay