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DerKrebs [107]
3 years ago
9

Find the distance between the points A and B given below.

Mathematics
2 answers:
marusya05 [52]3 years ago
6 0

Step-by-step explanation:

Horizontal it is 4

Vertical it is 2

Use of Pythagoras theorem to find AB

AB= root of 4^2 + 2^2

= 4.47

NNADVOKAT [17]3 years ago
4 0

The points= (3,2) and (7,5)

Distance =

\sqrt{ ({x}^{2} - x {}^{1} ) {}^{2}  +  ({ y}^{2} - y {}^{1} ) {}^{2}  }

=

\sqrt({4}  - 9) {}^{2}  + (5 - 7) {}^{2}

=

\sqrt{25 + 4}

=

\sqrt{29}

5.39

5.39 is the answer

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Which of the following is a factor of 64x^3 +343
Lyrx [107]

Answer:

(4x + 7) or

(16x^2 - 28x + 49)

Step-by-step explanation:

This is the sum of cubes. If you have choices you really should list them because often the way  we write  answers is not in agreement with what you are given.

Step One

Factor 64x^3  and 343 into prime factors.

64x^3: 4*4*4*x * x *x

343: 7 * 7 * 7

Step Two

Factor using the sum of cubes.

(4x + 7)([4x]^2 - 7*4x + 7^2)

(4x + 7)(16x^2 - 28x + 49)


7 0
3 years ago
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Consider the following system of equations:
ivolga24 [154]
The answer is x=-15 and y=25

8 0
4 years ago
Calculate the area of quadrilateral ABCD.<br> State the units of your answer.
cluponka [151]

Answer:

158.76 cm²

Step-by-step explanation:

Quadrilateral ABCD is composed of 2 right triangles

Construct the line BD, then

Δ ABD and Δ BCD are the 2 right triangles.

The area (A) of a triangle is calculated using

A = \frac{1}{2} bh ( b is the base and h the perpendicular height )

Δ ABD with b = 18 and h = 7.5

A = \frac{1}{2} × 18 × 7.5 = 9 × 7.5 = 67.5 cm²

Δ BCD with b = 15.6 and h = 11.7

A = \frac{1}{2} × 15.6 × 11.7 = 7.8 × 11.7 = 91.26 cm²

Thus

area of ABCD = 67.5 + 91.26 = 158.76 cm²

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lbvjy [14]

Answer:

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Step-by-step explanation:

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What is the value of the expression 4 + 8.6?
Veseljchak [2.6K]

Answer:

simple

Step-by-step explanation:

it's

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