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3 years ago

Help please :) thank you.

Mathematics

1 answer:

fredd [130]3 years ago

5 0

Answer:

Option (1).

Step-by-step explanation:

In the figure attached,

Houses of three friends Jo, Boris and Carrie are located at the vertices of a triangle.

They want to meet at a place which equidistant from these vertices.

A point in a triangle which is equidistant from the vertices is its Circumcenter.

A circumcenter of a triangle is a point of intersection of perpendicular bisectors of its sides.

Therefore, the next step to find the meeting place should be,

Option (1). They should find the midpoint of the segments which connect their houses.

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PLEASE HELP FAST :(

Ket [755]

Write the equation of the line passing through the points (-7,5) and (-5,9):
$y-5= \dfrac{9-5}{-5-(-7)} (x-(-7)) \\ y-5= \dfrac{4}{2}(x+7) \\ y-5=2(x+7)$ .
You also have another two points (-3,13) and (-1,17). Look whether coordinates of these points satisfy the line equation:

1. For (-3,13) you have
$13-5=2(-3+7) \\ \{8=8\}$ ;

2. For (-1,17) you have
$17-5=2(-1+7) \\ \{12=12\}$ .

Conclusion: All four points lie on the line y-5=2(x+7), so <span>the relationship shown by the data is linear.</span>

Answer: Correct choice is D.<span />

4 0

3 years ago

A regular octagon is inscribed in a circle with a radius of 10 cm. What is the length of one side of the octagon?

Semenov [28]

Answer:

The length of one side of the octagon is 7.65 cm

Step-by-step explanation:

The parameters given are;

A regular octagon inscribed in a circle of radius, r, of 10 cm.

The length of each side is found from the isosceles triangle formed by the radius and one side of the octagon

The sum of interior angles in a polygon, ∑θ $_i$ = 180 × (n - 2)

Where;

n = The number of sides of the polygon

θ $_i$ = The interior angle of the polygon

For the octagon, we have;

n = 8, therefore;

∑θ $_i$ = 180 × (8 - 2) = 1080

Given that there are eight equal angles in a regular octagon, we have;

∑θ $_i$ = 8 × θ $_i$ = 1080

θ $_i$ = 1080/8 = 135°

The sum of angles at the center of the circle = 360

Therefore, the angle at the center (tip angle) of the isosceles triangle formed by the radius and one side of the octagon = 360/8 = 45°

The base angles of the isosceles triangle is therefore, (180 - 45)/2 = 67.5° = θ $_i$ /2

The length of the base of the isosceles triangle formed by the radius and one side of the octagon = The length of one side of the octagon

From trigonometric ratios, the length of the base of the isosceles triangle is therefore;

2 × r × cos(θ $_i$ /2) = 2×10 × cos(67.5°) = 7.65 cm

The length of the base of the isosceles triangle = 7.65 cm = The length of one side of the octagon.

7 0

3 years ago

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What is the equation in slope-intercept form of the line that passes through the points (-4,2) and (12,6)?

NISA [10]

Answer:

______the answer is Y=0.25X+3

7 0

3 years ago

Solve for “x” 2(x-3)=2x+5

Naya [18.7K]

Answer: No value for x

Step-by-step explanation:

Open the bracket

2x-6=2×+5; combine like terms

2×-2×=5+6

0=11

6 0

4 years ago

Express the following numbers in standard form. [A] 509.78 [B] 0.0289 Can someone please help me ? I need to answer that questio

STALIN [3.7K]

Answer:

(A) 509.78

We need to move the decimal point after the first non-zero digit

So,

=> 5.0978 × 10² (Since the decimal point is moved two places to the left)

(B) 0.0289

Again after the first non-zero digit:

So, it becomes:

=> 2.89 × 10⁻² (Since the decimal point is moved 2 places to the right so it will be negative also)

8 0

3 years ago

Read 2 more answers