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3 years ago

If the are of a square is multiplied by 9, the area becomes 16 square inches. Find the length of the X side of the square.

Mathematics

1 answer:

Volgvan3 years ago

8 0

X^2 = 16/9
X = 4/3

Length of X is 1 1/3 inches

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Is 6y − 3x > 9 shaded

bagirrra123 [75]

6y - 3x > 9
-3x > -6y + 9
x < 2y - 3....yes, it is shaded below the line

7 0

3 years ago

The coordinates G(7,3), H(9, 0), (5, -1) form what type of polygon?

Marrrta [24]

Answer:

Is an acute triangle

Step-by-step explanation:

we know that

the formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

we have

G(7,3), H(9, 0), I(5, -1)

step 1

Find the distance GH

substitute in the formula

$d=\sqrt{(0-3)^{2}+(9-7)^{2}}$

$d=\sqrt{(-3)^{2}+(2)^{2}}$

$GH=\sqrt{13}\ units$

step 2

Find the distance IH

substitute in the formula

$d=\sqrt{(0+1)^{2}+(9-5)^{2}}$

$d=\sqrt{(1)^{2}+(4)^{2}}$

$IH=\sqrt{17}\ units$

step 3

Find the distance GI

substitute in the formula

$d=\sqrt{(-1-3)^{2}+(5-7)^{2}}$

$d=\sqrt{(-4)^{2}+(-2)^{2}}$

$GI=\sqrt{20}\ units$

step 4

Verify what type of triangle is the polygon

we know that

If applying the Pythagoras Theorem

$c^{2}=a^{2}+b^{2}$ ----> is a right triangle

$c^{2}> a^{2}+b^{2}$ ----> is an obtuse triangle

$c^{2}< a^{2}+b^{2}$ ----> is an acute triangle

where

c is the greater side

we have

$c=\sqrt{20}\ units$

$a=\sqrt{17}\ units$

$b=\sqrt{13}\ units$

substitute

$c^{2}= (\sqrt{20})^{2}=20$

$a^{2}+b^{2}=(\sqrt{17})^{2}+(\sqrt{13})^{2}=30$

therefore

$c^{2}< a^{2}+b^{2}$

Is an acute triangle

6 0

3 years ago

Read 2 more answers

What is the best name for a trinagle

alexdok [17]

Triangle most likely

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3 years ago

Stephen counted 17 heartbeats in 15 seconds. How many times does his heart beat in 1 minute?

blagie [28]

Stephen's heart beats 68 times in one minute

Step-by-step explanation:

60 sec (one min) divided by 15 sec ( the unit of time we use to track the 17 heartbeats) = 4

4 times 17 =68

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3 years ago

-x^2+2x-1 factor and please show work

torisob [31]

x = 1

$-x^{2} +2x-1=0\\-(x-1)^{2} \\x=1$

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2 years ago