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Firlakuza [10]
2 years ago
12

Someone helpp !! I don’t understand this at all

Mathematics
1 answer:
Naddika [18.5K]2 years ago
4 0

Answer:

∠AB=9

Step-by-step explanation:

<em>the pyagrothyes therom= </em>a^{2}<em>+</em>b^{2}<em>=</em>c^{2}

<em>to find ∠AB we need to find the height of the triangle.</em>

<em>replace the variables:</em>

a^{2}<em>+</em>6^{2}<em>=</em>9^{2}

<em>=</em>9^{2}<em>-</em>6^{2}<em>=</em>a^{2}

<em>simplify:</em>

<em>81-36=</em>\sqrt{45}

<em>now we solve for ∠AB</em>

<em>replace the variables:</em>

6^{2}<em>+</em>\sqrt{45}<em>=</em>c^{2}

<em>simplify:</em>

<em>36+45=</em>\sqrt{81}

\sqrt{81}<em>=9</em>

I hope this helps you!!

have a nice day!!

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1. Write an equation in slope-intercept form of the line that passes through the given point and is parallel to the graph of the
Sveta_85 [38]

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#1) y = -4x + 1; #2) parallel; #3) y = -1/2x + 5/2; #4) y = 2x + 4; #5) Never

Step-by-step explanation:

#1) We want a line that passes through (1, -3) and is parallel to y = 2-4(x-1).  First we simplify our equation using the distributive property:

y = 2-4(x-1) = 2-4(x) -4(-1) = 2-4x--4 = 2-4x + 4 = -4x + 6

Lines that are parallel have the same slope; this means we want a line through (1, -3) with a slope of -4.  Using point-slope form,

y-y_1=m(x-x_1)\\\\y--3=-4(x-1)\\\\y+3=-4(x)-4(-1)\\\\y+3=-4x+4\\\\y+3-3=-4x+4-3\\\\y=-4x+1

#2) We must first write our second equation in slope-intercept form by isolating the y term:

2x+y=7

Subtract 2x from each side"

2x+y-2x = 7-2x

y = -2x+7

This means the slope is -2; the slopes are the same, so the lines are parallel.

#3) The slope of our given equation is 2.  To be perpendicular, the second line must have a slope that is a negative reciprocal (flipped and opposite signs); this makes it -1/2.  Using point-slope form,

y-0=\frac{-1}{2}(x-5)\\\\y=\frac{-1}{2}(x)+\frac{-1}{2}(-5)\\\\y=\frac{-1}{2}x+\frac{5}{2}

#4) The slope of Main Street on the diagram, found by using rise/run, is 2.  This means the bike path will also have a slope of 2 in order to be parallel.  The park entrance is at (0, 4).  This makes the equation y = 2x+4.

#5) Two lines with the same slope are always parallel.  They are never perpendicular.

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