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3 years ago

11

The area of a square is 1,521 cm2. Find the length of a side of the square by

1 answer:

Marina86 [1]3 years ago

6 0

9514 1404 393

Answer:

39 cm

Step-by-step explanation:

1521 = 3·3·13·13 = (3·13)² = 39²

The length of the side of the square is 39 cm.

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Point B has coordinates (1,2). The x-coordinate of point A is -8. The distance between point A and point B is 15 units. What

Xelga [282]

Answer:

The possible coordinates of point A are $A_{1} (x,y) = (-8, 14)$ and $A_{2} (x,y) = (-8, -10)$ , respectively.

Step-by-step explanation:

From Analytical Geometry, we have the Equation of the Distance of a Line Segment between two points:

$l_{AB} = \sqrt{(x_{B}-x_{A})^{2} + (y_{B}-y_{A})^{2}}$ (1)

Where:

$l_{AB}$ - Length of the line segment AB.

$x_{A}, x_{B}$ - x-coordinates of points A and B.

$y_{A}, y_{B}$ - y-coordinates of points A and B.

If we know that $l_{AB} = 15$ , $x_{A} = -8$ , $x_{B} = 1$ and $y_{B} = 2$ , then the possible coordinates of point A is:

$\sqrt{(1+8)^{2}+(2-y_{A})^{2}} = 15$

$81 + (2-y_{A})^{2} = 225$

$(2-y_{A})^{2} = 144$

$2-y_{A} = \pm 12$

There are two possible solutions:

1) $2-y_{A} = -12$

$y_{A} = 14$

2) $2 - y_{A} = 12$

$y_{A} = -10$

The possible coordinates of point A are $A_{1} (x,y) = (-8, 14)$ and $A_{2} (x,y) = (-8, -10)$ , respectively.

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3 years ago

A conclusion which is arrived at by Inductive reasoning is called a _____?

Ann [662]

Answer: A conclusion you reach using inductive reasoning is called conjecture.

Step-by-step explanation: Examining several specific situations to arrive at a conjecture is called inductive reasoning.

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3 years ago

Put 0.875 in a fraction form

KATRIN_1 [288]

I think the answer is 7/8

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If GE=42 and DH=16, find GF

Sergeu [11.5K]

DGFH is a rhombus where E is the midpoint of the lines GE and GF
please look at the image

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3 years ago

Which point represents the quotient of StartFraction 3 minus I Over I EndFraction ?

Vlad1618 [11]

Answer:

The answer is point C

Step-by-step explanation:

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