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pav-90 [236]
3 years ago
5

What is the slope of a line that is perpendicular to the line whose equation is 7x−3y=107x−3y=10?

Mathematics
1 answer:
Verdich [7]3 years ago
4 0
This is the concept of algebra, to get the slope of the line we need to rewrite the equation in slope intercept form y=mx+c, where m=slope, c=y-intercept.
Therefore re-writing our expression in slope-intercept form we get:
7x-3y=10
-3y=-7x+10
y=7/3x-10/3
The slope=7/3
hence we conclude that the slope of the line perpendicular to this is -3/7


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Y+5=2(x+1)<br><br><br> what is the slope for this Math
Stells [14]

Answer:

2

Step-by-step explanation:

The slope-intercept form is

y=mx+b, where m is the slope and b is the y-intercept.y=mx+bRewrite in slope-intercept form.Simplify 2(x+1).Apply the distributive property.

y+5=2x+2⋅1

multiply 2 by 1.

y+5=2x+2

y+5=2x+2

Move all terms not containing y to the right side of the equation.Subtract 5 from both sides of the equation.

y=2x+2−5

y=2x−3

the slope is the "m" so the slope is 2

7 0
3 years ago
I am a number greater than 40,000 and less than 60,000. My ones digit and tens digit are the same. My ten-thousands digit is 1 l
jarptica [38.1K]
I am a number greater than 40,000 and less than 60,000:

40,000 < n < 60,000

This means that:

n = 10,000n₁ + 1,000n₂ + 100n₃ + 11n₄

And also:

4 ≤ n₁ < 6

0 ≤ n₂ ≤ 9

0 ≤ n₃ ≤ 9

0 ≤ n₄ ≤ 9

My ten thousands digit is 1 less than 3 times the sum of my ones digit and tens digit:

n₁ = 3*2n₄ - 1

n₁ = 6n₄ - 1

This means that:

n = 10,000*(6n₄-1) + 1,000n₂ + 100n₃ + 11n₄

n = 60,000n₄ - 10,000 + 1,000n₂ + 100n₃ + 11n₄

n = 60,011n₄ - 10,000 + 1,000n₂ + 100n₃

<span>My thousands digit is half my hundreds digit, and the sum of those two digits is 9:

n</span>₂ = 1/2 * n₃
<span>
n</span>₂ + n₃ = 9
<span>
Therefore:

n</span>₂ = 9 - n₃
<span>
Therefore:

9 - n</span>₃ = 1/2 * n₃
<span>
9 = 1/2 * n</span>₃ + n₃
<span>
9 = 1.5 * n</span>₃
<span>
Therefore:

n</span>₃ = 6
<span>
If n</span>₃=6, n₂=3.
<span>
This means that:

</span>n = 60,011n₄ - 10,000 + 1,000*3 + 100*6

n = 60,011n₄ - 10,000 + 3,000 + 600

n = 60,011n₄ - 6,400

Therefore:

0<n₄<2, so n₄=1.

If n₄=1:

n = 60,011 - 6,400

n = 53,611

Answer:

53,611
3 0
3 years ago
Bernice found that the slope of a trend line is –3 and a point on the trend line is (8, 10). She wanted to find the equation of
shusha [124]

Answer:b

Step-by-step explanation:

5 0
3 years ago
Maria had planned to walk 10 1/8 miles on wednesday, if she walked 7 2/8 miles in the morning how far would she need to walk in
Ugo [173]

Answer:

Distance Maria had to walk in the afternoon is 2\frac{7}{8}

Step-by-step explanation:

Lets take that Maria walked x miles in the afternoon.

Distance walked in the morning + distance walked in the afternoon = 10\frac{1}{8}

⇒7\frac{2}{8} +x=10\frac{1}{8}

\frac{58}{8} +\frac{8x}{8} =\frac{81}{8}

\frac{58+8x}{8} =\frac{81}{8}

58+8x=81

8x=81-58\\

8x=23

x=\frac{23}{8}

x=2\frac{7}{8}

7 0
3 years ago
A piece of fabric costs $5.29 a yard which is estimated cost of 16.3 yards of fabric
Cloud [144]

Answer:

your estimate would be $86.22

Step-by-step explanation:

5 0
3 years ago
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