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3 years ago

Maria added 45,273 and 37,687 and got the sum of 70,960. is maria's answer reasonable? explain.

Mathematics

1 answer:

ankoles [38]3 years ago

7 0

Maria isn't correct of this. Adding these will get you 82960 (You add the numbers) She must have miscalculated.

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1. S(–4, –4), P(4, –2), A(6, 6) and Z(–2, 4) a) Apply the distance formula for each side to determine whether SPAZ is equilatera

Aleksandr [31]

Answer:

a) SPAZ is equilateral.

b) Diagonals SA and PZ are perpendicular to each other.

c) Diagonals SA and PZ bisect each other.

Step-by-step explanation:

At first we form the triangle with the help of a graphing tool and whose result is attached below. It seems to be a paralellogram.

a) If figure is equilateral, then SP = PA = AZ = ZS:

$SP = \sqrt{[4-(-4)]^{2}+[(-2)-(-4)]^{2}}$

$SP \approx 8.246$

$PA = \sqrt{(6-4)^{2}+[6-(-2)]^{2}}$

$PA \approx 8.246$

$AZ =\sqrt{(-2-6)^{2}+(4-6)^{2}}$

$AZ \approx 8.246$

$ZS = \sqrt{[-4-(-2)]^{2}+(-4-4)^{2}}$

$ZS \approx 8.246$

Therefore, SPAZ is equilateral.

b) We use the slope formula to determine the inclination of diagonals SA and PZ:

$m_{SA} = \frac{6-(-4)}{6-(-4)}$

$m_{SA} = 1$

$m_{PZ} = \frac{4-(-2)}{-2-4}$

$m_{PZ} = -1$

Since $m_{SA}\cdot m_{PZ} = -1$ , diagonals SA and PZ are perpendicular to each other.

c) The diagonals bisect each other if and only if both have the same midpoint. Now we proceed to determine the midpoints of each diagonal:

$M_{SA} = \frac{1}{2}\cdot S(x,y) + \frac{1}{2}\cdot A(x,y)$

$M_{SA} = \frac{1}{2}\cdot (-4,-4)+\frac{1}{2}\cdot (6,6)$

$M_{SA} = (-2,-2)+(3,3)$

$M_{SA} = (1,1)$

$M_{PZ} = \frac{1}{2}\cdot P(x,y) + \frac{1}{2}\cdot Z(x,y)$

$M_{PZ} = \frac{1}{2}\cdot (4,-2)+\frac{1}{2}\cdot (-2,4)$

$M_{PZ} = (2,-1)+(-1,2)$

$M_{PZ} = (1,1)$

Then, the diagonals SA and PZ bisect each other.

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The graph of a proportional relationship passes through (5, 15)(5, 15) and (1, y)(1, y). Find yyThe graph of a proportional rela

nexus9112 [7]

Im sorry this question is confusing

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The equation sin(25o) = 9/C can be used to find the length of line ab . What is the length of line ab?

Sauron [17]

Sin Ф=opposite/ hypotenuse
In this case:
sin 25º=9 in /c
c=9 in/ sin 25º
c≈21.3 in.

Answer: sin (25º), in this case can be used to find the lenght of the hypotenuse, and the length of this hypotenuse would be 21.3 in.

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Solve 10(y+7)=12y for y

12345 [234]

Answer:

y=35

Step-by-step explanation:

10(y+7)=12y

10y+70=12y

70=12y-10y

70=2y

70/2=y

35=y

therefore, y=35

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Answer:

-g(x),g(2x),g(-x)

Step-by-step explanation:

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