87 89 93 93 91 88 89 93 90 90 87 88 89 89 90

Mathematics

1 answer:

Gemiola [76]3 years ago

6 0

The range is the highest value - lowest value

93 - 87 = 6

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Give the equation of the circle centered at the origin and passing through the point(0,10)

beks73 [17]

Answer:

$x^{2} + y^{2} = 100$

Step-by-step explanation:

The equation of a circle has the following format:

$(x - x_{0})^{2} + (y - y_{0})^{2} = r^{2}$

In which r is the radius(half the diameter) and the centre is the point $(x_{0}, y_{0})$

Centered at the origin

This means that $x_{0} = 0, y_{0} = 0$

Passing through the point(0,10)

The radius is the distance of any point in which the circle passes to the centre.

Using the formula for the distance between two points.

$r = D = \sqrt{(0 - 0)^{2} + (10 - 0)^{2}} = 10$

$x^{2} + y^{2} = 10^{2}$

$x^{2} + y^{2} = 100$

3 0

3 years ago

The perimeter of a triangle is 84m. the longest side of the triangle is 7m less than twice the length of the shortest side, x. t

Masja [62]

Side1 + side2 + side 3 = 84

side1 is the shortest side, and its length is x.
side2 is the middle side, and its length is x + 7
side3 is the longest side, and its length is 2x - 7

x + x + 7 + 2x - 7 = 84

4x = 84

x = 21

side1 = x = 21
side2 = x + 7 = 21 + 7 = 28
side3 = 2x - 7 = 2(21) - 7 = 42 - 7 = 35

The length of the sides are 21 m, 28 m, and 35 m.

5 0

3 years ago

Please help me with a geometry problem, I don't understand.

Goshia [24]

The slope-intercept form:

$y=mx+b\\\\m=\dfrac{y_2-y_1}{x_2-x_1}$