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lara [203]
3 years ago
13

Find two consecutive positive integers such that the sum of their squares is 421 .

Mathematics
1 answer:
maria [59]3 years ago
4 0
We assume the two numbers are x and (x+1)
so x^2+(x+1)^2=421
x^2+(x^2+2x+1)=421
2x^2+2x-420=0
According to the formula of quadratic 
x=14 or-15
cuz we know the two numbers are integers
so x=14
therefore the other number is 15
To make sure that's correct
14^2+15^2=421

Hope that helps you!!


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lukranit [14]

Answer:

A. y= 2(x - 2)2 + 4

Step-by-step explanation:

vertex having an x value of 2 means the phrase in paren must be x - 2.

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vertex having a y value of 4 is of no help as the remaining two equations will result in 4 if the x term is 2

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3 0
3 years ago
Look at pic down underrr
dimulka [17.4K]

Answer:

Triangle rsu = Triangle tus

Statements Reasons

UR ≅ TS  Definition of Rectangle

US ≅ US Reflexive Property

<U, <T, <R, <S are all congruent and right angles

Definition of Rectangle

ΔRSU ≅ ΔTUS Side, Angle, Side

UR ≅ TS     CPCTC

Just draw a reverse angle,hence you get comparison.

So, satisfying S-S-S

RUS  ≅ SUT

RSU ≅ TUS

So, angle

URS = angle TUS

2. Pythagoras Theorem

Triangle RUS

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√Rr = Rr^2 = x

Triangle TUS

A^2 + B^2 = C^2

Ss^2 + Uu^2 = Tt^2

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UR measure / sin (60) x (90) = US measure.

ST measure / sin (60) x (90) = US measure.

Proves angles RSU = 30 degree

Proves angles  TUS = 30 degree

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7 0
3 years ago
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Since the expression is already really simple, y would be three, so I guess you could say 3=3
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3 years ago
Read 2 more answers
Rhonda wrote check # 345 for $45.92. she had a previous balance of $225.46 before she wrote check #345. how much will she be ove
Annette [7]
You know she started out with 225.46 before the check, and then she took out 45.92:

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Then, she takes out another 453.87:

179.54 - 453.87 = -274.33

So she'll be $274.33 overdrawn. Hope that helps! if you liked this answer please rate it as brainliest!! thank you!!!


4 0
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