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ELEN [110]
3 years ago
6

9. A map of Texas has a scale of 1 in: 65 mi. The

Mathematics
1 answer:
Contact [7]3 years ago
4 0
I think that you have to multiply 260•65 but if I am wrong sorry
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Find the equation of the line through (6,8) which is parallel to the line y=4x−6.
Ratling [72]

Answer:

y=4x-16

Step-by-step explanation:

Hi there!

<u>What we need to know:</u>

  • Linear equations are typically organized in slope-intercept form: y=mx+b where m is the slope of the line and b is the y-intercept (the value of y when x is 0)
  • Parallel lines always have the same slope

<u>1) Determine the slope (m)</u>

<u />y=4x-6<u />

4 is in the place of m, making it the slope. Because parallel lines have the same slope, the slope of the line is therefore 4. Plug this into y=mx+b:

y=4x+b

<u>2) Determine the y-intercept (b)</u>

y=4x+b

Plug in the given point (6,8) and solve for b

8=4(6)+b\\8=24+b

Subtract 24 from both sides to isolate b

8-24=24+b-24\\-16=b

Therefore, the y-intercept of the line is -16. Plug this back into y=4x+b:

y=4x-16

I hope this helps!

3 0
3 years ago
When solving the equation x2 – 8x - 7 = 0 by completing the square, which equation
IgorLugansk [536]
<h3><u>A</u><u>n</u><u>s</u><u>w</u><u>e</u><u>r</u><u>:</u><u>-</u></h3>

Lets Solve

\\  \rm \longmapsto \:  {x}^{2}  - 8x - 7 = 0 \\  \\  \rm \longmapsto \:  {x}^{2}  - 8 {}^{}x = 7 \\  \\  \rm \longmapsto \: 4( {x}^{2}  - 8x) = 4 \times 7 \\  \\  \rm \longmapsto \:  {4x}^{2}  - 32x = 28 \\  \\  \rm \longmapsto \:  {(2x)}^{2}  - 2 \times 2x \times 8 = 28 \\  \\  \rm \longmapsto \: (2x) {}^{2}  - 2 \times 2x \times 8 +  {8}^{2}  = 28 +  {8}^{2}  \\  \\  \rm \longmapsto \:  {(2x - 8)}^{2}  = 64 + 28 \\  \\  \rm \longmapsto \:  {(2x - 8)}^{2}  = 92 \\  \\  \rm \longmapsto \: 2x - 8 =  \underline{ + }9.3 \\ \\  \rm \longmapsto \:2x =  8 + 9.3  \: or \: 8 - 9.3 \\ \\  \rm \longmapsto \:2x = 17.3 \:or \:  - 1.3 \\ \\  \rm \longmapsto \:2x = 17.3 \\ \\  \rm \longmapsto \:x =  \frac{17.3}{2}  \\ \\  \rm \longmapsto x = \:8.6

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4 0
3 years ago
Solve -3x - 4y = -1 for y
MrRissso [65]

Answer:

y=1/4-3x/4 is your answer

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