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4 years ago

Someone help please i dont know how to do this

Mathematics

1 answer:

Olenka [21]4 years ago

3 0

Area of the parallelogram = 14 * PQ

Area of the triangle

= 1/2 * PQ*MQ = 1/6 * 14 * PQ

Divide through by PQ

1/2 MQ = 1/6 * 14

MQ = 1/6 * 14 * 2 = 4 2/3 cm^3 ( or 4.67 cm^3 to nearest hundredth.)

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a squirrel is 24 feet up in a tree and tosses a nut out of the tree with an initial velocity of 8 feet per second. the nuts heig

marin [14]

The nut lands first on gorund

Solution:

The squirrel climbs down the tree in 2 seconds

Given that,

A squirrel is 24 feet up in a tree and tosses a nut out of the tree with an initial velocity of 8 feet per second

The nuts height, h, at time t seconds can be represented by the equation:

$h(t) = -16t^2 + 8t+24$

$-16t^2 + 8t+24 = 0\\\\-2t^2 + t + 3 = 0\\\\2t^2 - t-3=0\\\\Split\ the\ middle\ term\\\\2t^2 + 2t-3t - 3 = 0\\\\Break\ the\ expression\ into\ groups\\\\(2t^2 + 2t) -(3t+3) = 0\\\\2t(t+1) -3(t+1) = 0\\\\(t+1)(2t-3) = 0\\\\Therefore,\\\\t + 1 = 0\\\\t = -1\\\\2t-3=0\\\\2t = 3\\\\t = \frac{3}{2} = 1.5$

time cannot be negative, so ignore t = -1

Thus the nut takes 1.5 seconds to reach ground

From given,

The squirrel climbs down the tree in 2 seconds

Therefore, the nut lands first on gorund

5 0

3 years ago

Write the point-slope equation of the line that passes through(3,5) and (7,1)

Liono4ka [1.6K]

Answer: y - 1 = –(x –7)

or y –5 = –1(x –3)

The attachment shows the graph of these equations (identical)

Step-by-step explanation:

The basic form for a point-slope equation is

y - b = m(x - a)

a is the x-value from the given coordinate, b is the y-value form the given coordinate, m is the slope. x and y are the variables in the function.

To find the slope, m, use the given coordinates. Get the difference in the y-values and divide by the difference in the x-values. This is "rise over run."

Subtract the first coordinate from the second coordinate.

Given coordinate points: (3,5) and (7,1) substitute values:

m= 1 –5 / 7 –3 becomes m= –4/4 so the slope, m = –4/4

That is –1 The "1" is "understood," so only the negative sign represents the slope in the equation

To write the equation: Take the basic form, substitute b and a values from either given coordinate. And use the value of m we just calculated.

y - b = m(x - a) Using the second coordinate: (7,1)

y - 1 = –(x –7)

or using the first coordinate:

y –5 = –(x –3)

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3 years ago

How did you find each square root?

AnnZ [28]

Answer:

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Step-by-step explanation:

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3 years ago

Write an equation for the translation of x^2 + y^2 = 49 by 7 units right and 4 units up

Tatiana [17]

Answer:

(x - 7)² + (y - 4)² = 49

Step-by-step explanation:

Given

Equation: x² + y² = 49

Required:

New Equation when translated 7 units right and 4 units up

Taking it one step at a time.

When the equation is translated 7 units right, this implies a negative unit along the x axis.

The equation becomes

(x - 7)² + y² = 49

When the equation is translated 4 units up, this implies a negative unit along the y axis.

(x - 7)² + (y - 4)² = 49

The expression can be further simplified but it's best left in the form of

(x - 7)² + (y - 4)² = 49

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3 years ago

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miskamm [114]

Answer:

Step-by-step explanation:

Plug the number into the equations

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3 years ago