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juin [17]
3 years ago
7

Find the distance between each pair of points. Round your answer to the nearest tenth. (-6, -5) and (2, 0)

Mathematics
1 answer:
Anna71 [15]3 years ago
7 0

Answer:

The answer is

<h2>9.4 units</h2>

Step-by-step explanation:

The distance between two points can be found by using the formula

d =  \sqrt{ ({x1 - x2})^{2} +  ({y1 - y2})^{2}  }  \\

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(-6, -5) and (2, 0)

The distance between them is

d =  \sqrt{ ({ - 6 - 2})^{2} +  ({ - 5 - 0})^{2}  }  \\  =  \sqrt{ ({ - 8})^{2}  + ( { - 5})^{2} }  \\  =  \sqrt{64 + 25}  \\  =  \sqrt{89}  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \\  = 9.4339811

We have the final answer as

<h3>9.4 units to the nearest tenth</h3>

Hope this helps you

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ludmilkaskok [199]

Given:

The bases of trapezoid measuring 4 m and 12 m.

To find:

The median of the trapezoid.

Solution:

The median of the trapezoid is the average of its bases.

\text{Median}=\dfrac{\text{Upper base + Lower base}}{2}

The bases of trapezoid measuring 4 m and 12 m. So, the median of the trapezoid is:

\text{Median}=\dfrac{4+12}{2}

\text{Median}=\dfrac{16}{2}

\text{Median}=8

Therefore, the correct option is C.

5 0
3 years ago
Given the information in the diagram below, find the measure of angle N. Use RACE and complete sentences to show how you found t
Sonja [21]

Answer:

m<N = 76°

Step-by-step explanation:

Given:

∆JKL and ∆MNL are isosceles ∆ (isosceles ∆ has 2 equal sides).

m<J = 64° (given)

Required:

m<N

SOLUTION:

m<K = m<J (base angles of an isosceles ∆ are equal)

m<K = 64° (Substitution)

m<K + m<J + m<JLK = 180° (sum of ∆)

64° + 64° + m<JLK = 180° (substitution)

128° + m<JLK = 180°

subtract 128 from each side

m<JLK = 180° - 128°

m<JLK = 52°

In isosceles ∆MNL, m<MLN and <M are base angles of the ∆. Therefore, they are of equal measure.

Thus:

m<MLN = m<JKL (vertical angles are congruent)

m<MLN = 52°

m<M = m<MLN (base angles of isosceles ∆MNL)

m<M = 52° (substitution)

m<N + m<M° + m<MLN = 180° (Sum of ∆)

m<N + 52° + 52° = 180° (Substitution)

m<N + 104° = 180°

subtract 104 from each side

m<N = 180° - 104°

m<N = 76°

4 0
3 years ago
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S_A_V [24]
168=-8x
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pantera1 [17]

Answer:

x > -7

Step-by-step explanation:

Step 1: Translate

Twice a number = 2x

Six more = + 6

At least = >

-8 = -8

Step 2: Write out inequality

2x + 6 > -8

Step 3: Solve

2x > - 14

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puteri [66]

Answer:

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Step-by-step explanation:

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In this case, angle U, side UY and angle Y are congruent to angle U, side UW and angle W

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