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3 years ago

carley beat the school record for the 400 meter run by 1.3 seconds. if she ran the race in 55.7 seconds what was the record?

Mathematics

1 answer:

Vika [28.1K]3 years ago

4 0

Answer:

If Carley ran the 400 meter run in a total of 55.7 seconds and she beat the record by 1.3 seconds, you would add 55.7 and 1.3

55.7+1.3= 57 seconds

The past school record for the girls 400 meter run was 57 seconds

Hope this helps ;)

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Use implicit differentiation to find an equation of the tangent line to the curve at the given point.

o-na [289]

Answer:

y = 2(x - 1/4)

Step-by-step explanation:

To find an equation of the tangent to a given curve, we need two vital information; one is the slope of the tangent (SOP) and the other is the point of tangency (POT).

to find the slope of tangent i will use the implicit differentiation to find the slope then apply the point given

so, first, the slope using implicit differentiation;

f(x) = $x^{2} +y^{2} =(3x^{2}+4y^{2} -x) ^{2}$

f'(x) = {tex}2x + 2y dy/dx = 2(3x^{2} + 4y^{2} - x)(6x + 8y dy/dx - 1){/tex}

applying the co-ordinates given; x = 0 and y = 1/4

SOP 2(0) + 2(1/4) dy/dx = 2[3(0)^2 + 4(1/4)^2 - 0][6(0) + 8(1/4) dy/dx - 1)

1/2 dy/dx = 2[4(1/16)][(8/4) dy/dx - 1]

1/2 dy/dx = 2[1/2][2 dy/dx - 1]

1/2 dy/dx = 2 dy/dx - 1

putting the dy/dx together

1 = 2 dy/dx - 1/2 dy/dx

1 = dy/dx (2 - 1/2)

make dy/dx subject

1 / 1/2 = dy/dx

therefore SOP = 2

POT

f(x) = (0)^2 + (1/4)^2 = [3(0)^2 + 4(1/4)^2 - 0]^2

1/16 = [4(1/16)]^2

1/16 = (1/4)^2

1/16 = 1/16

y = 0

using the slope formula

m = y - y2/ x - x2

2 = y - 0/ x - 1/4

y = 2(x - 1/4)

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3 years ago

What is are some example of an expression?

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Step-by-step explanation:

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2 years ago

PLEASE HELP ME!! The deepest point of Lake Titicaca in South America is -922 feet relative to its surface. The deepest point is

miskamm [114]

Answer:

12,464 ft

Step-by-step explanation:

I assume that the elevation of the lake is the altitude at the surface of the water.

The surface of the lake is 922 ft above the deepest point of the lake.

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