1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
taurus [48]
3 years ago
14

AABC Is dilated by a scale factor of 3 with the origin as the center of dilation to form AA' BC. The slope of AB is -1.2. The le

ngth of AB is
p units, the length of AC is qunits, and the length of BC is runits.
The slope of A' B' is The length of A'C' is
units.
Mathematics
1 answer:
alukav5142 [94]3 years ago
4 0

Answer:

The slope of new figure A'B'C' = -1.2

A'B' = 3p units

A'C' = 3q units

Step-by-step explanation:

The value of each of the corresponding length of dilated figures (new image) = scale factor multiplied by the corresponding length in original figure.

scale factor = 3

Length of AB = p units

the length of AC = qunits

the length of BC = runits

A'B' = 3p units

A'C' = 3q units

B'C' = 3r units

slope of new figure = slope of previous figure

The slope remains the same = -1.2

You might be interested in
On Tuesday, Donovan earned $11 for 2 hours of babysitting. On Saturday, he babysat for the same family and earned $38.50. How ma
Lina20 [59]
$11=2 hrs

2hrs=$11
+2(4hrs)=$22
+2(6hrs)=$33 hrs


so 6 hrs or 7 hours and some
minutes left
4 0
3 years ago
{x^2+6x-27/x^2-9x+18<br> how to solve step by step
Alika [10]

Answer:

Step-by-step explanation:

Step by Step Solution:

More Icon

STEP

1

:

5

Simplify ———————

x2 - 81

Trying to factor as a Difference of Squares:

1.1 Factoring: x2 - 81

Theory : A difference of two perfect squares, A2 - B2 can be factored into (A+B) • (A-B)

Proof : (A+B) • (A-B) =

A2 - AB + BA - B2 =

A2 - AB + AB - B2 =

A2 - B2

Note : AB = BA is the commutative property of multiplication.

Note : - AB + AB equals zero and is therefore eliminated from the expression.

Check : 81 is the square of 9

Check : x2 is the square of x1

Factorization is : (x + 9) • (x - 9)

Equation at the end of step

1

:

(((x2)-18x)+81) 5

———————————————•———————————

(((x2)-6x)-27) (x+9)•(x-9)

STEP

2

:

x2 - 18x + 81

Simplify —————————————

x2 - 6x - 27

Trying to factor by splitting the middle term

2.1 Factoring x2 - 18x + 81

The first term is, x2 its coefficient is 1 .

The middle term is, -18x its coefficient is -18 .

The last term, "the constant", is +81

Step-1 : Multiply the coefficient of the first term by the constant 1 • 81 = 81

Step-2 : Find two factors of 81 whose sum equals the coefficient of the middle term, which is -18 .

-81 + -1 = -82

-27 + -3 = -30

-9 + -9 = -18 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -9 and -9

x2 - 9x - 9x - 81

Step-4 : Add up the first 2 terms, pulling out like factors :

x • (x-9)

Add up the last 2 terms, pulling out common factors :

9 • (x-9)

Step-5 : Add up the four terms of step 4 :

(x-9) • (x-9)

Which is the desired factorization

Trying to factor by splitting the middle term

2.2 Factoring x2-6x-27

The first term is, x2 its coefficient is 1 .

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

The last term, "the constant", is -27

Step-1 : Multiply the coefficient of the first term by the constant 1 • -27 = -27

Step-2 : Find two factors of -27 whose sum equals the coefficient of the middle term, which is -6 .

-27 + 1 = -26

-9 + 3 = -6 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -9 and 3

x2 - 9x + 3x - 27

Step-4 : Add up the first 2 terms, pulling out like factors :

x • (x-9)

Add up the last 2 terms, pulling out common factors :

3 • (x-9)

Step-5 : Add up the four terms of step 4 :

(x+3) • (x-9)

Which is the desired factorization

Canceling Out :

2.3 Cancel out (x-9) which appears on both sides of the fraction line.

Equation at the end of step

2

:

(x - 9) 5

——————— • —————————————————

x + 3 (x + 9) • (x - 9)

STEP

3

:

Canceling Out

3.1 Cancel out (x-9) which appears on both sides of the fraction line.

Final result :

5

—————————————————

(x + 3) • (x + 9)

5 0
3 years ago
Which statement is an example of the symmetric property of congruence?
BabaBlast [244]
The <u>correct answer</u> is:

\text{D) If }EFG \cong HJK, \text{ then } HJK \cong EFG.

Explanation:

The symmetric property states that if two quantities are equal (or congruent), you can "flip" them around the equals sign (or congruence sign).  

This means since EFG is congruent to HJK, then HJK is congruent to EFG.
3 0
3 years ago
The family size bottle of sunscreen holds 12 fluid ounces of sunscreen. The regular bottle holds 75% less. How many fewer fluid
vladimir1956 [14]
9 fluid ounces
12<span>×</span>0.75=9
6 0
3 years ago
Read 2 more answers
Find the area of the shape shown below.
vlabodo [156]

Answer:

6cm^{2} (assuming the units is in centimetres)

Step-by-step explanation:

Hi, hope this helps!

Method 1:

Calculate this shape as a trapezium. This is a trapezium because it has one pair of parallel sides. The way to calculate the area of a trapezium is this:

- Half the sum of the parallel sides

- Multiply the perpendicular height between them

In this case, 4 and 2 are parallel, so we add them together (4 + 2 = 6) then we divide by two (6 ÷ 2 = 3). Then we multiply our answer by the perpendicular length between the two parallel sides (assuming the side on the left is at a right-angle, 3 x 2 = 6).

Method 2:

Calculate this shape as a rectangle + a triangle. If you split the shape so the pointy bit on the right becomes a triangle and the left becomes a square, you can calculate the area without knowing the formula for calculating a trapezium (see above ^).

- Area of the square / rectangle = length x width = 2 x 2 = 4

- Area of the triangle = 1/2 x length x width = 2 x 2 x 1/2 = 4 x 1/2 = 4 ÷ 2 = 2

Then we add the two areas together (4 + 2 = 6).

I hope this helped and I wasn't waffling on :)

Bluey

8 0
3 years ago
Read 2 more answers
Other questions:
  • if two angles of a triangle have measures of 42 degrees and 20 degrees what is the measure of the third
    9·1 answer
  • 9.A couple just had twin boys, but they can't decide between the names Mike, Mark, Peter, Paul, Sam, and Sonny. If the couple ra
    6·1 answer
  • People with bmi less than 18.5 are often classified as underweight. What percent of men aged 20-29 are underweight by this crite
    12·1 answer
  • What is the simplified form of i^14
    13·2 answers
  • Which value of n makes this equation true?
    13·1 answer
  • Find the angle measure of a blue wedge
    15·1 answer
  • The ratio of boys to girls in a class is 4:5
    14·2 answers
  • blake went on a bike tour he rode 780 miles in 12 days he rode the same number of miles each day write an expression that can be
    15·1 answer
  • Ed works a normal 38 hour week. He then worked 22 hours of
    10·1 answer
  • Can you help me, please?
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!