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3 years ago

Roxanna buys an item with a normal price of $30, and uses a 20% off

Mathematics

1 answer:

natima [27]3 years ago

7 0

Answer:

6 dollars

Step-by-step explanation:

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Suppose the lengths of two sides of a right triangle are represented by 2x and 3 (x + 1), and the longest side is 17 units. Find

densk [106]

Answer:

x=4

Step-by-step explanation:

Step 1:-

given the lengths of two sides of a right angle are represented by 2x and 3(x+1) and longest side is 17 units.

AB = 2x and BC = 3(x+1) and longest side AC= 17

by using Pythagoras theorem

$AC^2 = AB^2 + BC^2$

step 2:-

The hypotenuse is longest side is AC = 17 units

(17)^2 = 4x^2 +9(X+1)^2

on simplification, we will use formula

$(a + b)^2 = a^2 +2ab+b^2$

289 = 4x^2 +9(x^2+2x+1)

$13x^2 +18x-280 = 0$

finding factors 70 X 52 = 3640

$13x^2 +70x-52x-280 = 0$

$13x^2 -52x+ 70x-280 = 0$

Taking common , we get

13x(x-4)+70(x-4)=0

x-4=0 and 13x+70=0

x=4 and $13x =-70$

x=4 and $x=\frac{-70}{13}$

we can not choose negative value so x value is 4

Final answer:- x = 4

verification:-

$AC^2 = AB^2 + BC^2$

289 = 4(4)^2+9(4+1)^2

289 = 64 +9(25)

289=289

6 0

3 years ago

Read 2 more answers

Find a solution of the linear inequality. y>_4x-5

irga5000 [103]

Answer:

(0,0) is among the solutions

Step-by-step explanation:

The given inequality is $y\ge4x-5$

A solution to this inequality is any ordered pair that satisfies the inequality.

Let us check for x=0 and y=0

We substitute to get:

$0\ge4*0-5$

$0\ge-5$ ....This is true.

Therefore (0,0) is a solution to the given inequality.

There are infinitely many solutions.

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3 years ago

Jordan gets paid to mow his neighbor's lawn. For every week that he mows the lawn, he earns $20. What is the rule as an algebrai

lilavasa [31]

$We\ can\ write\ it\ as\ a\ function:\\y=20x\\\\x-number\ of\ weeks\\y-earnings\\Earnings\ depands\ on\ number\ of\ weeks.$

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3 years ago

AA, SAS, SSS or not similar ?

Mariana [72]

Answer:

SSS

Step-by-step explanation:

KN / PD = 54/24 = 2.25

KB / PF = 49.5/22 = 2.25

BN / DF = 40.5/18 = 2.25

ΔKBN ~ PDF (SSS) : two triangles are similar, their corresponding sides are in equal proportion.

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3 years ago

I need help on 5a, I forgot how to set it up(algebra2)

GalinKa [24]

The answer is 12t because i said so

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3 years ago