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
Sveta_85 [38]
3 years ago
8

Triangle ABC has side lengths 3, 4, and 5. do the side length s form a Pythagorean triangle?

Mathematics
2 answers:
xz_007 [3.2K]3 years ago
8 0
I believe the term would be a Pythagorean TRIPLE.
and yes 3, 4 and 5 are a Pythagorean Triple,

Over [174]3 years ago
7 0

Answer:  Yes, the side lengths will form a Pythagorean triple.

Step-by-step explanation:  We are given that triangle ABC has side lengths 3, 4 and 5 units.

We are to check whether the side lengths form a Pythagorean triple.

The Pythagorean triple is

<em>Hypotenuse² = Perpendicular² + Base².</em>

Now, for the given triangle ABC, let AB = 3 units, BC = 4 units and CA = 5 units.

Then, we have

AB^2+BC^2=3^2+4^2=9+16=25,\\\\CA^2=5^2=25.

Therefore, we get

CA^2=AB^2+BC^2.

Thus, the side lengths will form a Pythagorean triple with side CA as the hypotenuse.

You might be interested in
What is the factored form of the polynomial?
mihalych1998 [28]

Step-by-step explanation:

The answer is A. (x - 4)(x - 12).

4 0
3 years ago
Consider the function f(x)=-2/3x +5 <br> what is f(-6) <br> enter your answer in the box <br> f(-6)=
GaryK [48]

Answer:

f(- 6) = 9

Step-by-step explanation:

to evaluate f(- 6), substitute x = - 6 into f(x)

f(- 6) = - \frac{2}{3} × - 6 + 5

        = - \frac{2(-6)}{3} + 5 = 4 + 5 = 9


4 0
3 years ago
F ind the volume under the paraboloid z=9(x2+y2) above the triangle on xy-plane enclosed by the lines x=0, y=2, y=x
olga nikolaevna [1]

Answer:

The answer is 48 units³

Step-by-step explanation:

If we simply draw out the region on the x-y plane enclosed between these lines we realize that,if we evaluate the integral the limits all in all cannot be constants since one side of the triangular region is slanted whose equation is given by y=x. So the one of the limit of one of the integrals in the double integral we need to evaluate must be a variable. We choose x part of the integral to have a variable limit, we could well have chosen y's limits as non constant, but it wouldn't make any difference. So the double integral we need to evaluate is given by,

V=\int\limits^2_0 {} \, \int\limits^{x=y}_0 {z} \, dx dy\\V=\int\limits^2_0 {} \, \int\limits^{x=y}_0 {9(x^{2}+y^{2})} \, dx dy

Please note that the order of integration is very important here.We cannot evaluate an integral with variable limit last, we have to evaluate it first.after performing the elementary x integral we get,

V=9\int\limits^2_0 {4y^{3}/3} \, dy

After performing the elementary y integral we obtain the desired volume as below,

V= 48 units^{3}

4 0
3 years ago
The weight, in pounds, of a newborn baby t months after birth can be modeled by W. A graph of W is shown below. Write an equatio
Agata [3.3K]

the First we need to choose two points in the graph

(0,6)=(t1,w1)

(1,7)=(t2,w2)

the variables are t and w

then we can calculate the slope

m=\frac{w2-w1}{t2-t1}=\frac{7-6}{1-0}=\frac{1}{1}=1

the equation of W is

where

m=1 ---> slope

b=6 ---> y-intercept

\begin{gathered} W=mt+b \\ W=1\cdot t+6 \\ W=t+6 \end{gathered}

the answers are

W=t+6

slope of the function 1

the answer is the third option

5 0
1 year ago
Combine like terms to create an equivalent expression.
Brut [27]

Question..

Combine like terms to create an equivalent expression.

½ −⅙q +⅚q - ⅓

Answer:

½ −⅙q +⅚q - ⅓ is equivalent to ⅔q + ⅙

Step-by-step explanation:

Given

½ −⅙q +⅚q - ⅓

Required

Equivalence

½ −⅙q +⅚q - ⅓

We start by collecting like terms.

⅚q - ⅙q + ½ - ⅓

Factorize

(⅚ - ⅙)q + ½ - ⅓

((5 - 1)/6)q + ½ - ⅓

(4/6)q + ½ - ⅓

Reduce 4/6 to lowest term

⅔q + ½ - ⅓

Evaluate fraction

⅔q + (3 - 2)/6

⅔q + ⅙

Hence, ½ −⅙q +⅚q - ⅓ is equivalent to ⅔q + ⅙

7 0
3 years ago
Read 2 more answers
Other questions:
  • Chad casts a shadow that is 14.3 feet long. The straight-line distance from the top of Chad’s head to the end of the shadow crea
    14·1 answer
  • Michelle has a maximum of 4500 milliliters  of water for her plants today. Each basil plant requires 350 of water, and each fenn
    14·1 answer
  • Please help asap!!! Asap!!!!
    6·1 answer
  • The actual length of the building is 72 feet. what is the scale of jackie's map?
    5·1 answer
  • In a game , you draw a card with three consecutive numbers on it. You can choose one of the numbers and find the sum of its prim
    9·1 answer
  • Each month, a shopkeeper spends 3x+2 dollars on rent and 7x+4 on electricity. Ahmed claims that the shopkeeper spent a total of
    5·2 answers
  • Just help me. just want a percentage. plsss
    7·1 answer
  • Solve for q.<br><br> q + 7 = 61<br><br> q = ____
    11·2 answers
  • You start at (1, -2). You move right 4 units and left 1 unit. Where do you end?
    7·1 answer
  • 3 (h−9) + 2h = h − 27 + 4h
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!