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4 years ago

Trigonometry

Mathematics

2 answers:

Dmitriy789 [7]4 years ago

8 0

Answer:

The answer to your question is d = 7 u

Step-by-step explanation:

Data

P₁ = (8, -6)

P₂ = (15, -6)

Formula

distance between two points = $\sqrt{(x2 - x1)^{2}+ (y2 - y1)^{2}}$

x₁ = 8 y₁ = -6

x₂ = 15 y₂ = -6

-Substitution

d = $\sqrt{(15 - 8)^{2} + (-6 + 6)^{2}}$

-Simplification

d = $\sqrt{7^{2} + 0^{2}}$

d = $\sqrt{49}$

-Result

d = 7 units

- Conclusion

The distance between these points is 7 units

Leona [35]4 years ago

6 0

Answer:

7 units

Step-by-step explanation:

These points lie on the same horizontal line.

No vertical distance

Only horizontal distance of:

15-8 = 7 units

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Step-by-step explanation:

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Step-by-step explanation:

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3 years ago

Part C

makkiz [27]

a = 1, b =14 and y-coordinate is 6 when x = 0.

Solution:

Let us first write the equation of a line.

Take the points are (2, 2) and (6, 10).

Slope of the line:

$$m=\frac{y_2-y_1}{x_2-x_1}$

$$m=\frac{10-2}{6-2}$

$$m=\frac{8}{4}$

m = 2

Point-slope formula:

$y-y_1=m(x-x_1)$

y - 10 = 2(x - 2)

y - 10 = 2x - 4

Add 10 on both sides,we get

y = 2x + 6

Equation of a line is y = 2x + 6.

To find (a, 8), substitute x = a and y = 8 in the equation,

8 = 2a + 6

Subtract 6 from both sides, we get

2 = 2a

a = 1

To find (4, b), substitute x = 4 and y = b in the equation,

b = 2(4) + 6

b = 8 + 6

b = 14

Substitute x = o in the equation.

y = 2(0) + 6

y = 6

The y-coordinate is 6 when x = 0.

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3 years ago

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4 years ago

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Minchanka [31]

Step-by-step explanation:

<h3>Given,</h3>

GRAM is a parallelogram
m<GMA = 66°
m<GRP = 32°
m<PAM = 41°

<h3>Solutions:</h3>

i) Since,

Angles on the same side of a transversal in a parallelogram, there sum is 180° so,

<RGM + <GMA = 180°

=> <RGM = 180° - <GMA

=> <RGM = 180° - 66°

=> <RGM = 114° (Ans)

ii) Since,

Opposite angles of a diagonal as a transversal (here RM) are equal so,

<GRP = <PMA = 32°

As we have <GMA = 66° so,

=> <GMP = <GMA - <PMA

= 66° - 32°

=> <GMP = 34° (Ans)

iii) Since,

Opposite angles of a parallelogram are equal so,

<RGM = <RAM = 114°

As we have <PAM = 41° so,

=> <GAR = <RAM - <PAM

= 114° - 41°

=> <GAR = 73° (Ans)

iv) Since,

We got <PMA = 32° and <PAM = 41°, so by angle sum property of a triangle PMA,

=> <MPA = 180° - 32° - 41°

=> <MPA = 107° (Ans)

7 0

2 years ago