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3 years ago

What is the midpoint of segment AB?

Mathematics

1 answer:

mr Goodwill [35]3 years ago

5 0

Answer:

(-1, -3.5)

Step-by-step explanation:

Use the midpoint formula by finding the points of A and B.

A = (-5, -4)

B = (3, -3)

Add the x-values of both coordinates to get the following:

$3_{1} + -5_{2} = -2\\-2/2 = -1$

Midpoint = (-1, y)

Now we find the y-value by doing the same as we did to the x-coordinates of A and B.

$-3_{1} + -4_{2} = -7\\-7/2 = -3.5$

Midpoint = (-1, -3.5)

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Find an equation of the line tangent to the curve √xy + 4y = 39 at the point (1,9)?

evablogger [386]

Find the derivative of the curve to find the line slope at the given point

sqrt(xy) + 4 dy/dx = 39

0.5(xy)^(-0.5) * (y + x dy/dx) + 4dy/dx= 0

No need to amplify simply plug in the given point ( 1,9)

0.5 ( 1 * 9)^(-0.5)* ( 9 + dy/dx) + 4dy/dx = 0

Solve for dy/dx

1/6( 9 + dy/dx) = -4dy/dx

9 + dy/dx = -24 dy/dx

-25dy/dx = 9

dy/dx = -9/25

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3 years ago

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4 years ago

Find the area. The figure is not drawn to scale

poizon [28]

Answer:

96 square inches.

Step-by-step explanation:

From given picture we see that

BC=8 in

AD=10 in

Given that

AD=AB

Then AB=10 in

Apply Pythagorean theorem in triangle ABC to find AC

$(hypotenuse)^2=(base)^2+(perpendicular)^2$

$(AB)^2=(BC)^2+(AC)^2$

$(10)^2=(8)^2+(AC)^2$

$100=64+(AC)^2$

$100-64=(AC)^2$

$36=(AC)^2$

take square root

$6=AC$

Then area of triangle ABC $=\frac{1}{2}\left(base\right)\left(altitude\right)$

$=\frac{1}{2}\left(8\right)\left(6\right)=24$

There are total 4 congruent triangles.

Then total area of the given figure = 4(24)=96 square inches.

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3 years ago

if the total sum of the ages of william,scott,and jim is 80years, then what was the sum of their ages five years ago?

Lady_Fox [76]

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3 years ago

Read 2 more answers

A funicular carries passengers up an embankment to an observation point. if the length of the track is 68.8 meters and the angle

Dominik [7]

The height of the track will be given by:
sin θ=opposite/ hypotenuse
θ=34°4'=34+4/60=34 1/15°
thus
sin 34 1/15=h/68.8
h=68.8sin 34 1/15
h=38.54 meters

7 0

3 years ago