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lord [1]
2 years ago
7

Given that q(x) = 6 -5x and q(x) =21 x=​

Mathematics
1 answer:
ELEN [110]2 years ago
4 0

Answer:

x = -3

Step-by-step explanation:

6 - 5 ( -3 ) = 21

21 = 21 ✅

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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]

Answer:

#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.

3 0
2 years ago
Read 2 more answers
Find the 72nd term of the arithmetic sequence -27, -11, 5,
mixas84 [53]

Answer:

1109

Step-by-step explanation:

an = d (n - 1) + c

an = what you're looking for

n = term position

d = the common difference, in your case, 16

c = first term of the sequence, or -27

a₇₂ = 16(72 - 1) + -27 = 1109

5 0
3 years ago
12 A pilot needs to know the maximum height an aircraft can fly at. The cabin has been tested and is safe to a height of 15679 m
abruzzese [7]
15.6 kilometers rounded down because it is not safe to go above what has been approved
7 0
1 year ago
64cm is equal to how many mm
eduard
64 cm is 640 mm. 

Hope this helps!
8 0
3 years ago
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Estella buys 1.8 pounds if walnuts for a total if $5.04 she solves the equation 1.8p=5.04 to find the price p in dollars of one
Drupady [299]

Answer: $2.08

Step-by-step explanation:

5.04 divided by 1.08 is 2.08.

8 0
3 years ago
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