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2 years ago

The expression 16x^2-81 is equivalent to

Mathematics

2 answers:

Virty [35]2 years ago

8 0

Answer:

7 units below the vertex of f(x)

Step-by-step explanation:

Tanya [424]2 years ago

4 0

Step-by-step explanation:

7 units below the vertex of f(x)

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Find an equation of the line through (1,8) and parallel to y = 4x +3. Write the equation using function notation.

brilliants [131]

Answer:

f(x) = 4x + 4

Step-by-step explanation:

When a line is parallel to another line, the slopes are always equal. Therefore, the coefficient for x has to be four. If you multiply the y-coordinate by 4, you get 4. To get 8, you have to add four, so the equation is simply f(x) = 4x+4.

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2 years ago

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The area of the square is 36 square cm. Find its side.

bonufazy [111]

Answer:

s = 6 cm

Step-by-step explanation:

the area (A) of a square is calculated as

A = s² ( s is the side length )

given A = 36 , then

s² = 36 ( take square root of both sides )

s = $\sqrt{36}$ = 6

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2 years ago

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If one mile equals 5,280 feet, how many feet are in 7 miles?

Anuta_ua [19.1K]

Answer:

36,960

Step-by-step explanation:

multiply 5280 by 7

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2 years ago

Determine the equation of the circle graphed below. ( please help me )

Brums [2.3K]

Answer:

$Equation : \\(x+3)^2 + ( y -2)^2 = 36$

Step-by-step explanation:

For standard form the circle's equation we need the centre of the circle and the radius.

Step 1: Find the centre

If the centre is not given find the end points of the diameter

and then find the mid point.

Let the end points of the diameter be : ( - 3 , 8 ) and ( -3 , -4 )

The mid-point of the diameter is :

$Mid-point = (\frac{-3 + - 3}{2}, \frac{-4+8}{2}) = (-3, 2)$

Therefore, centre of the circle = ( -3 , 2 )

Step 2 : Find radius

$Radius = \frac{Diameter }{2}$

Diameter is the distance between the end points ( -3 , 8) and ( -3 , -4 )

That is ,

$Diameter = \sqrt{(-3-(-3))^2 + ( -4 -8)^2}\\$

$= \sqrt{(-3 + 3)^2 + (-12)^2}\\\\=\sqrt{0 + 144}\\\\=12$

Therefore ,

$Radius = \frac{12}{2} = 6$

Step 3 : Equation of the circle

Standard equation of the circle with centre ( h ,k )

and radius ,r is :

$(x - h)^2+(y -k)^2 = r^2$

Therefore, the equation of the circle with centre ( -3, 2)

and radius = 6 is :

$(x - (-3))^2 + (y - 2)^2 = 6^2\\\\(x + 3)^2 + (y - 2)^2 = 36$

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2 years ago

What is the difference in elevation between a plane flying 14,200 feet above sea level and a submarine traveling 890 feet below

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maths is gud to us 151617128

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