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
goldenfox [79]
2 years ago
8

An isosceles right triangle has a hypotenuse length that can be modeled with the function h(x) = sqaure root of 2 The combined

Mathematics
2 answers:
larisa [96]2 years ago
8 0

The legs are defined by L(x) = 2x. The Hypotenuse if defined by h(x) = L(x)\cdot \sqrt{2}. The perimeter is defined by:

p(x) = h(x)+2\cdot L(x) \\~\\p(x) = L(x)\cdot\sqrt{2} +2\cdot L(x) \\~\\p(x) = L(x)\cdot\left(\sqrt{2}+2\right) \\~\\p(x) = 2x\cdot\left(\sqrt{2}+2\right) \\~\\p(x)= 2\sqrt{2}x+4x

D. P(x) = 2x √2 + 4x

Arturiano [62]2 years ago
7 0
B
hope this helps
have a great day
You might be interested in
In circle T, ∠PTQ ≅ ∠RTS. Circle T is shown. Line segments T P, T Q, T R, and T S are radii. Lines are drawn from point P to poi
Dmitrij [34]

Answer:

The length of PQ is 4 units ⇒ 2nd answer

Step-by-step explanation:

In circle T:

  • TP , TQ , TR , TS are radii
  • PQ and SR are secants
  • The measure of arc SR is 66°
  • ∠PTQ ≅ ∠RTS
  • The length of TR is 3 units
  • The length of SR is 4 units

∵ TP , TQ , TR , TS are radii

- The radii of a circle are equal in length

∴ TP = TQ = TR = TS

∵ TR = 3 units

∴ TQ = 3 units

∴ TP = 3 units

∴ TS = 3 units

∵ ∠RTS is a central angle ⇒ its vertex is the center of the circle

∵ ∠RTS is subtended by arc SR

- The measure of the central angle is equal the measure of

   its subtended arc

∵ The measure of arc SR = 66°

∴ m∠RTS = 66°

∵ ∠PTQ ≅ ∠RTS

∴ m∠PTQ = 66°

In Δs STR and PTQ

∵ ST = PT ⇒ proved

∵ TR = TQ ⇒ proved

∵ m∠PTQ = m∠RTS

- By using SAS case of congruence theorem

∴ Δ STR ≅ Δ PTQ ⇒ SAS congruence theorem

- As a result of congruence

∴ SR ≅ PQ

∵ SR = 4 units

∴ PQ = 4 units

The length of PQ is 4 units

7 0
3 years ago
<img src="https://tex.z-dn.net/?f=%283x3%29%2B%283x5%29-%282x-2%29" id="TexFormula1" title="(3x3)+(3x5)-(2x-2)" alt="(3x3)+(3x5)
MAVERICK [17]
We can simplify this problem by pairing like terms together.

9x + 15x - 2x + 2
22x + 2

This expression can be simplified down to
22x + 2
8 0
2 years ago
Read 2 more answers
Can someone simplify 8.4 for me
MrRissso [65]

84/10 (Thats the fraction of 8.4)

<u>42 </u>   =   8.40000

5

6 0
3 years ago
If this particular arithmetic sequence, a7=34 and a15=74. What is the value of a21
Ilya [14]
This is an arithmetic sequence, meaning, to get the next term, you simply add some value to the current one, namely the "common difference" "d".

now, we know the 17th term is 34, let's go to the 15term then

34 + d
34 + d + d
34 + d + d + d
34 + d + d + d + d
34 + d + d + d + d + d
34 + d + d + d + d + d + d
34 + d + d + d + d + d + d + d
34 + d + d + d + d + d + d + d + d

now, notice, we got to the 15th term, which is 34  + d + d + d + d + d + d + d + d, or namely 34 + 8d, it just so happen we know is 74, therefore,

\bf 34+8d=74\implies 8d=40\implies d=\cfrac{40}{8}\implies \boxed{d=5}

ok, now that we know what the common difference is, let's find the first term in the sequence using the 7th term of 34,

\bf n^{th}\textit{ term of an arithmetic sequence}\\\\&#10;a_n=a_1+(n-1)d\qquad &#10;\begin{cases}&#10;n=n^{th}\ term\\&#10;a_1=\textit{first term's value}\\&#10;d=\textit{common difference}\\&#10;----------\\&#10;n=7\\&#10;d=5\\&#10;a_7=34&#10;\end{cases}&#10;\\\\\\&#10;a_7=a_1+(7-1)5\implies 34=a_1+(7-1)5&#10;\\\\\\&#10;34=a_1+30\implies \boxed{4=a_1}

and now let's use those 2 found folks, to get the 21st term,

\bf n^{th}\textit{ term of an arithmetic sequence}\\\\&#10;a_n=a_1+(n-1)d\qquad &#10;\begin{cases}&#10;n=n^{th}\ term\\&#10;a_1=\textit{first term's value}\\&#10;d=\textit{common difference}\\&#10;----------\\&#10;a_1=4\\&#10;d=5\\&#10;n=21&#10;\end{cases}&#10;\\\\\\&#10;a_{21}=4+(21-1)5\implies a_{21}=4+100\implies a_{21}=104
3 0
3 years ago
The graph shows a probability distribution P(X)P(X) for a discrete random variable X.
andrey2020 [161]
So what are you asking lmao

5 0
3 years ago
Other questions:
  • Anyone know how to do BOTH of these? Thanks!
    10·2 answers
  • Amber spent 1,793.34 on a TV after an 18% discount and on an 8% tax. What was the original price of the TV?
    6·1 answer
  • A principal of $4500 is invested at 5.75% Interest, compounded annually. How much will the investment be worth after 5 years?
    7·1 answer
  • The number of chips of different colors in Gail's bag is shown below:
    15·2 answers
  • without Computing decide whether the value of each expression is much smaller than 1 close to 1 or much larger than 1 : 1,000,00
    8·1 answer
  • by what percent will a fraction change if its numerator is decreased by 75% and denominator is decreased by 50%
    15·1 answer
  • Find the area of a circle with a radius of 8.6cm. Round to the nearest hundredth.
    7·1 answer
  • In the diagram shown,
    6·1 answer
  • So far I've ruled out answer D but I need help on the rest! please help asap!
    8·1 answer
  • HEEEEELPPPPPPPPPPPPPPPP
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!