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
Dennis_Churaev [7]
3 years ago
16

The length of ZX is 2 units. What is the perimeter of triangle XYZ? 5 + + 2 units 5 + 3 units 5 + + 2 units 10 + 2 units

Mathematics
1 answer:
Shtirlitz [24]3 years ago
7 0

Answer:

B) 5 + 3√5 units

Step-by-step explanation:

The length of ZX is 2√5 units. What is the perimeter of triangle XYZ?  

A) 5 +√3 + 2 √5 units  

B) 5 + 3√5 units  

C) 5 + √6 + 2√5 units  

D) 10 + 2√5 units

From the diagram attached, point X is at (-1, 4), Y(3, 1), Z(1, 0).

The distance between two point

O(x_1,y_1)\ and\ A(x_2,y_2)\ is\ given\ as:\\\\OA=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}

The lengths of the sides of the triangle are:

|XY| = \sqrt{(3-(-1))^2+(1-4)^2}=\sqrt{25} =5\ unit\\ \\|XZ|= \sqrt{(1-(-1))^2+(0-4)^2}=\sqrt{20} =2\sqrt{5} \ unit\\\\|YZ|= \sqrt{(1-3)^2+(0-1)^2}=\sqrt{5} \ unit

The perimeter of the triangle is the sum of all the sides, i.e.

Perimeter = |XY| + |YZ| + |XZ| = 5 + 2√5 + √5 = 5 + 3√5  

You might be interested in
<img src="https://tex.z-dn.net/?f=4x%20%7B%7D%5E%7B2%7D%20%20%2B%2020x%20%2B%2025" id="TexFormula1" title="4x {}^{2} + 20x + 25
BigorU [14]

\sf{\qquad\qquad\huge\underline{{\sf Answer}}}

Let's Solve ~

\qquad \sf  \dashrightarrow \: 4 {x}^{2}  + 20x + 25

\qquad \sf  \dashrightarrow \: 4 {x}^{2}  + 10x + 10x + 25

\qquad \sf  \dashrightarrow \: 2x(2x + 5) + 5(2x + 5)

\qquad \sf  \dashrightarrow \: (2x + 5) (2x + 5)

\qquad \sf  \dashrightarrow \: (2x + 5) {}^{2}

or

\sf{\qquad \sf  \dashrightarrow \: 4x² + 20x + 25 }

\sf{\qquad \sf  \dashrightarrow \: (2x)² + (2 \sdot 2x \sdot 5) + (5)²}

[ it's similar to expression - a² + 2ab + b² that is equal to (a + b)² ]

so, let's use this identity here to factorise :

\sf{\qquad \sf  \dashrightarrow \: (2x + 5)²}

I hope it was helpful ~

3 0
2 years ago
PLEASE CAN SOMEONE HELPPP
NikAS [45]

Answer:

second option

Step-by-step explanation:

The perimeter P is the sum of the 3 sides, then

P = 4x² + 3 + 2x - 5 + x + 11 ← collect like terms

= 4x² + 3x + 9

4 0
3 years ago
(m+2)(m+3)=(m+2)(m-2)
Anastaziya [24]
(m+2)(m+3)= (m+2)(m-2)
⇒ m^2+ 3m+ 2m+ 6= m^2 -4
⇒ 5m+ 6= -4 (m^2 on both sides cancels out)
⇒ 5m= -4-6
⇒ 5m= -10
⇒ m= -10/5
⇒ m= -2

The final answer is m=-2~
6 0
3 years ago
6.
abruzzese [7]

Answer:

10.50

Step-by-step explanation:

7 0
3 years ago
Evaluate the piecewise function below for f(3):
gregori [183]
F(3)={2(3)-9}
F(3)={6-9}
F(3)={-3}
8 0
3 years ago
Other questions:
  • Find the percent increase. Round to the nearest percent. From 97 books to 120 books
    9·1 answer
  • emily is buting gifts for 20 people at work.The boxes for the gifts are 6 inches long,6 inches wide ,and 6 inches high .How much
    10·1 answer
  • Plz help.....................
    11·1 answer
  • Evaluate 9x - 11 for x = -3 and x = 7.
    6·1 answer
  • Tina says that 3:8 is equivalent to 36:64, what did Tina do wrong
    7·1 answer
  • Different sizes of string needs to be cut to go around various shapes. All of the following sizes are in inches.
    5·1 answer
  • Ahmed wrote an expression as 12x + 24, find all the equivalent expressions using the distributive property.
    12·1 answer
  • Write the phrase as an expression.
    8·2 answers
  • 729 divided 10 to the 3rd power
    8·2 answers
  • How are angles formed by intersecting lines related?​
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!