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
satela [25.4K]
2 years ago
13

Find the image of NPQ under the translation of (x,y) -> (x + 8, y + 1).

Mathematics
1 answer:
lina2011 [118]2 years ago
8 0

Answer:

The image triangle NPQ is triangle KLM

Step-by-step explanation:

The vertices of triangle NPQ are at:

N(-7,-6), P(-4,-3) an Q(-4,-6).

The rule for the translation is:

(x,y)\to(x+8,y+1)

This implies that:

N(-7,-6)\to (-7+8,-6+1)=N'(1,-5)

P(-4,-3)\to (-4+8,-3+1)=P'(4,-2)

Q(-4,-6)\to (-4+8,-6+1)=Q'(4,-5)

Therefore triangle N'P'Q' has vertices at N'(1,-5),P'(4,-2), and Q'(4,-5)

This coincides with K(1,-5),L(4,-2), and M(4,-5)

Hence the image triangle NPQ is triangle KLM

You might be interested in
A pair of vertical angles has measures (2y + 5) and (4y) What is the value of y?
iogann1982 [59]

Answer:

Vertical angles are angles that are opposite each other when two lines intersect each other. And they are always equal.

==> 2y +5 = 4y

==> 4y - 2y = 5

==> 2y = 5

==> y = \frac{5}{2}

Option D

8 0
3 years ago
Rhombus JKLM is shown below. Find m∠KLM.
lianna [129]

Answer:

Option D

Step-by-step explanation:

Properties of a rhombus,

1). Diagonals of a rhombus bisect the opposite angles.

2). Sum of adjacent two angles of a rhombus is 180°.

By property (1),

Diagonal JL will bisect the angles ∠MJK and ∠KLM.

Therefore, m∠KLM = 2(5x + 3)°

Similarly, diagonal KM will bisect the angles ∠JKL and JML.

Therefore, m∠JKL = 2(9x - 11)°

By property (2),

2(9x - 11)° + 2(5x + 3)° = 180°

9x - 11 + 5x + 3 = 90

14x - 8 = 90

14x = 98

x = 7

Since, m∠KLM = 2(5x + 3)°

                        = 2(5×7 + 3)°

                        = 76°

Therefore, Option D will be the answer.

7 0
2 years ago
Brittany has a recipe which yields 25 hamburgers, but she only needs to make 10. If the original recipe calls for nine pounds of
tankabanditka [31]
The answer is b
Because it makes sense
4 0
2 years ago
Read 2 more answers
NEED HELP WORTH 100 POINTS SHOW YOUR WORK PLEASE
tia_tia [17]

Answer:

Q1:

-5\sqrt{27c^2}

-5\sqrt{27}\sqrt{c^2}

-5\times\sqrt{9} \sqrt{3} \sqrt{c^2}

-5\times3\sqrt{3}\sqrt{c^2}

-5\times3\sqrt{3}c

-15\sqrt{3}c

Q2:

5\sqrt{72}-3\sqrt{32}

5\sqrt{36} \sqrt{2} -3\sqrt{16} \sqrt{2}

5\times6\sqrt{2}-3\times4\sqrt{2}

30\sqrt{2}-12\sqrt{2}

18\sqrt{2}

Q3:

\sqrt{108yz}+3\sqrt{98yz}+2\sqrt{75yz}

\sqrt{36} \sqrt{3} \sqrt{yz} +3\sqrt{49} \sqrt{2} \sqrt{yz} +2\sqrt{25} \sqrt{3} \sqrt{yz}

6\sqrt{3}\sqrt{yz}+21\sqrt{2}\sqrt{yz}+10\sqrt{3}\sqrt{yz}

16\sqrt{3}\sqrt{yz}+21\sqrt{2}\sqrt{yz}

Q4:

\sqrt{15n^2}\sqrt{10n^3}

\sqrt{15}n\sqrt{10n^3}

\sqrt{15}n\sqrt{10}\sqrt{n^2}\sqrt{n}

\sqrt{15}\sqrt{10}n^2\sqrt{n}

\sqrt{5}\sqrt{3}\sqrt{5}\sqrt{2}n^2\sqrt{n}

5\sqrt{3}\sqrt{2}n^2\sqrt{n}

5\sqrt{6}n^2\sqrt{n}

Q5:

\frac{\sqrt{3x^2y^3}}{4\sqrt{5xy^3}}

\frac{\sqrt{3}xy\sqrt{y}}{4\sqrt{5}y\sqrt{x}\sqrt{y}}

Cancel off \sqrt{x}:

\frac{\sqrt{3}y\sqrt{x}\sqrt{y}}{4\sqrt{5}y\sqrt{y}}

Cancel off y:

\frac{\sqrt{3}\sqrt{x}\sqrt{y}}{4\sqrt{5}\sqrt{y}}

Cancel off \sqrt{y} :

\frac{\sqrt{3}\sqrt{x}}{4\sqrt{5}}

Multiply \sqrt{5} on the numerator and denominator:

\frac{\sqrt{3}\sqrt{x}\sqrt{5}}{4\sqrt{5}\sqrt{5}}

\frac{\sqrt{15}\sqrt{x}}{20}

5 0
3 years ago
Write a inequality for the sentence then solve the inequality
Digiron [165]
It would be letter. b....
6 0
3 years ago
Read 2 more answers
Other questions:
  • Express 75000000000 in scientific and calculator notation
    10·2 answers
  • Thirty-one is three more than twice a number divided by three
    5·2 answers
  • What's the perimeter for this
    7·1 answer
  • The domain for f(x) is all real numbers greater than or equal to ___ ?
    9·2 answers
  • What is the value of x?​
    11·2 answers
  • Write the number equal to 5 tens and 13 ones.
    15·1 answer
  • Fine the y-intercept of the line on the graph.​
    13·1 answer
  • Write the equation of the line that has a slope -2 of and contains the point (1,2)
    5·1 answer
  • 7th grade math pls help
    13·1 answer
  • Please help...... fast​
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!