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3 years ago

What is the distance between the points (5, -1) and (5, 3)

Mathematics

1 answer:

Diano4ka-milaya [45]3 years ago

7 0

By using distance formula (which is attached below), you can solve this problem:

√(x2-x1)^2+(y2-y1)^2

(5, -1) and (5, 3)

√(5-5)^2+(3-(-1))^2

√0^2+4^2

√0+16

√16

The distance between the two points is 4.

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PilotLPTM [1.2K]

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Step-by-step explanation:

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3 years ago

A rectangular plot of farmland will be bounded on one side by a river and on the other three sides by a single-strand electric

Murrr4er [49]

Answer:

$A = 781250\,m^{2}$ , $x = 625\,m$ , $y = 1250\,m$

Step-by-step explanation:

The perimeter covered by the electric fence in meters is:

$2\cdot x + y = 2500$

The area of the rectangle is:

$A = x\cdot y$

$A = x \cdot (2500-2\cdot x)$

Let differentiate the previous equation and equates to zero:

$2500-4\cdot x = 0$

The critical point is:

$x = 625\,m$

By the Second Derivative Text, it is proved that critical point lead to a maximum:

$\frac{d^{2}A}{dx^{2}} = -4$

The other side of the rectangle is:

$y = 1250\,m$

The largest area than can be enclosed is:

$A = (625\,m)\cdot (1250\,m)$

$A = 781250\,m^{2}$

The dimensions of the triangle are:

$x = 625\,m$

$y = 1250\,m$

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4 years ago

Express 9 -² using positive exponents. Do not simplify.

Leokris [45]

1/9^2 if that makes sense?

3 0

3 years ago

If T is the centroid of ∡MNP, TN = 16, MQ = 23, and RP = 18, find each missing measure.

kramer

Answer:

a) QT = 8

b) QN = 24

c) QP = 23

d) MP = 46

e) RT = 6

f) TP = 12

Step-by-step explanation:

Find the diagram attached

If T is the centroid of<MNP, then the following are true;

TN = 2QT

Given TN = 16

16 = 2QT

QT = 16/2

QT = 8

QN = QT + TN

QN = 8 + 16

QN = 24

MQ + QP = MP and MQ = QP

If MQ = 23

QP = 23

Recall that MP = MQ + QP

MP = MQ + MQ

MP = 2MQ

MP = 2(23)

MP = 46

Similarly, TP = 2RT

RT = TP/2

Also RP = RT + TP

RP = RT + 2 RT

RP = 3RT

18 = 3RT

RT = 18/3

RT = 6

Recall that TP = 2RT

TP = 2(6)

TP = 12

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3 years ago

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Set the function equal to 0 and solve for

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