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Mathematics

2 answers:

Nitella [24]2 years ago

5 0

The answer is protractor 17 inc

Degger [83]2 years ago

3 0

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Complete the slope-intercept form of the linear equation that represents the relationship in the table.

nevsk [136]

According to the given table, the slope-intercept equation of the line is given by:

$y = -2x + 1$

The equation of a line, in <em>slope-intercept</em> form, is given by:

$y = mx + b$

In which:

The slope is m.

The intercept is b.

In this problem, we are given two points, (3,-5) and (-2,5).

The slope is given by <u>change in y divided by change in x</u>, hence:

$m = \frac{5 - (-5)}{-2 - 3} = -2$

Hence:

$y = -2x + b$

Point (3,-5) means that when $x = 3, y = -5$ , which is used to find b.

$y = -2x + b$

$-5 = -2(3) + b$

$b = 1$

Hence, the equation of the line is:

$y = -2x + 1$

A similar problem is given at brainly.com/question/24685547

6 0

1 year ago

The area of the base of the oblique pentagonal pyramid is 50 cm^2 and the distance from the apex to the center of the pentagon i

Verdich [7]

The complete question in the attached figure

Part a)
we know that
ABC is a right triangle
∠ACB=45°
AC=hypotenuse------> 6√2 cm
sin 45=AB/AC-----> AB=AC*sin 45----> AB=6√2*√2/2----> AB=6 cm

the answer part a) is
AB=6 cm

Part b)
we know that
volume of the pyramid=(1/3)*Area of the base*height
area of the base=50 cm²
height=6 cm
so
volume of the pyramid=(1/3)*50*6----> 100 cm³

the answer part b) is
100 cm³