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2 years ago

Please Hurry!!!

Mathematics

1 answer:

Valentin [98]2 years ago

5 0

The point-slope form:

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

The formula of a slope:

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

We have the points A(-2, 6) and B(2, -2). Substitute:

$m=\dfrac{-2-6}{2-(-2)}=\dfrac{-8}{4}=-2\\\\y-6=-2(x-(-2))\\\\\boxed{y-6=-2(x+2)}\to\boxed{(B)}$

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At the base of a pyramid, a surveyor determines that the angle of elevation to the top is °. At a point meters from the base, th

riadik2000 [5.3K]

Answer:

$\frac{(\sin 18^\circ)}{75} = \frac{(\sin 35^\circ)}{x}$

Step-by-step explanation:

Incomplete question:

$\angle CBD = 53^\circ$

$\angle CAB = 35^\circ$

$AB = 75$

See attachment for complete question

Required

Determine the equation to find x

First, is to complete the angles of the triangle (ABC and ACB)

$\angle ABC + \angle CBD = 180$ --- angle on a straight line

$\angle ABC + 53= 180$

Collect like terms

$\angle ABC =- 53+ 180$

$\angle ABC =127^\circ$

$\angle ABC + \angle ACB + \angle CAB = 180$ --- angles in a triangle

$\angle ACB + 127 + 35 = 180$

Collect like terms

$\angle ACB =- 127 - 35 + 180$

$\angle ACB =18$

Apply sine rule

$\frac{\sin A}{a} = \frac{\sin B}{b}$

In this case:

$\frac{\sin ACB}{AB} = \frac{\sin CAB}{x}$

This gives:

$\frac{(\sin 18^\circ)}{75} = \frac{(\sin 35^\circ)}{x}$

4 0

2 years ago

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A line contains the points (3,9) and (-1,1) what is the equation of the line?

kirza4 [7]

To find the equation of a line using two given set of points, you must first find slope. To do so, we must use the slope formula:
y2 - y1 / x2 - x1

In this case:
1 - 9 / -1 - 3 = -8 / -4
- 8 / -4 = 2 (simplified)

Now we can use the point-slope formula:
y - y1 = m(x - x1)

y - 1 = 2(x + 1 )
y - 1 = 2x + 2
y = 2x + 3

In order to make 3x - y = 6 in slope intercept form, we must isolate y.

- y = -3x + 6
Note: y cannot be negative, so we'll multiply both sides by -1
( -1 ) - y = - 3x + 6 ( -1 ) = y = 3x -6

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3 years ago

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Need help i don't understand

BabaBlast [244]

Answer:

Commutative property of multiplication

Step-by-step explanation:

This property states that numbers can be switched around when multiplying and the answer still remains the same

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2 years ago

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