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2 years ago

What is the distance betwen (–3, –6) and (–3, 1)

Mathematics

2 answers:

ra1l [238]2 years ago

7 0

Answer:

the square root of 7

Step-by-step explanation:

( -3 + 3 ) + ( 1 + 6 )

0 + 7

Alex787 [66]2 years ago

5 0

Distance = sqr((x2-x1)^2+(y2-y1)^2)
(-3+3)^2 + (1+6)^2 = (0)^2 + (7)^2
Distance = sqr(49) = 7

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If P = (5,4), find the image of P under the following rotation. 90° counterclockwise about the origin ([?], [ ])

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Step-by-step explanation:

Rotating 90 deg. counterclockwise maps (x,y) onto (-y,x), so (5,4) maps onto (-4,5).

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3 years ago

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The rectangle below has an area of 70y⁸ 30y⁶. The width of the rectangle is equal to the greatest common monomial factor of 70y⁸

Lorico [155]

Answer:

The Width of the Rectangle = $10y^6$

$\text{Length of the Rectangle}=210y^8$

Step-by-step explanation:

The area of the rectangle $=70y^8 30y^6.$

We are told that the width of the rectangle is equal to the greatest common monomial factor of $70y^8 \: and\: 30y^6.$

Let us determine the greatest common monomial factor of $70y^8 \: and\: 30y^6.$

Express each term as a product to pick out the common factors:

$70y^8 =7X10Xy^6Xy^2\\30y^6=3X10Xy^6$

In the two terms, the common terms are 10 and $y^6$ . Therefore their greatest monomial factor = $10y^6$

The Width of the Rectangle = $10y^6$

Recall: Area of a Rectangle =Length X Width

$70y^8 30y^6=Length X 10y^6\\Length =70y^8 30y^6 \div 10y^6 \\=\dfrac{70X30Xy^8Xy^6}{10y^6} =210y^8\\\text{Length of the Rectangle}=210y^8$

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2 years ago

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Which expression is equivalent to (5³) ‐²? (4 points)

miss Akunina [59]

Answer:

1. 2³ × 2² = (2 × 2 × 2) × (2 × 2) = 23+2 = 2⁵

2. 3⁴ × 3² = (3 × 3 × 3 × 3) × (3 × 3) = 34+2 = 3⁶

3. (-3)³ × (-3)⁴ = [(-3) × (-3) × (-3)] × [(-3) × (-3) × (-3) × (-3)]

= (-3)3+4

= (-3)⁷

4. m⁵ × m³ = (m × m × m × m × m) × (m × m × m)

= m5+3

= m⁸

Step-by-step explanation:

exponential law

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2 years ago

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asambeis [7]

Answer:

x = 7 ± √73 / 2

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