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babunello [35]
3 years ago
15

Find The slope of the line described by x+2y=8

Mathematics
1 answer:
Harman [31]3 years ago
7 0

Answer:

Slope = m = \frac{-1}{2}

Step-by-step explanation:

The equation of a line in  slope-intercept form  is.

y = mx + b   ----->(eq 1)  

∴ m is slope

x+2y=8

subtract x from both sides.

x - x +2y=  - x + 8

2y=  - x + 8

divide - 2 on both sides

\frac{2y}{2} = \frac{ - x + 8}{2}

y = \frac{ - x}{2} + \frac{8}{2}

y = \frac{ - 1}{2}x + 4 ----->(eq 2)  

By comparing (eq 1) and (eq 2)  

m = \frac{-1}{2}

Slope = m = \frac{-1}{2}

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Pls help! Answer the question in the pic. I will mark brainliest and I will give 5 stars and a thanks.
LenKa [72]

Answer:

x = 10

Step-by-step explanation:

Use Pythagorean theorem to find the value of x

Focus only on one half of the triangle

if we slice the triangle in half, we get a right angle triangle

the base will now be 12/2 = 6

Pythagorean theorem says that a^2 + b^2 = c^2

plug 6 as a and 8 as b.

this should give you 100

now take the square root to find c (which equals x)

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5 0
2 years ago
See attached file. show all work.
andrew11 [14]

The point-slope form of the equation for a line can be written as

... y = m(x -h) +k . . . . . . . for a line with slope m through point (h, k)

Your function gives

... f'(h) = m

... f(h) = k

a) The tangent line is then

... y = 5(x -2) +3

b) The normal line will have a slope that is the negative reciprocal of that of the tangent line.

... y = (-1/5)(x -2) +3

_____

You asked for "an equation." That's what is provided above. Each can be rearranged to whatever form you like.

In standard form, the tangent line's equation is 5x -y = 7. The normal line's equation is x +5y = 17.

3 0
3 years ago
At the doctor’s office, Martin learns that his heart beats 360 times in 5 minutes.How many does his heart beat per minute?
TEA [102]
To find this answer, just divide 360 by 5 to find out how many times his heart beats in one minute instead of 5. Doing this will give you a final answer of 72 bpm.
8 0
3 years ago
Write a recursive rule for the sequence.<br> –2, 4, –8, 16, . . .
VMariaS [17]

a_{n} = (-2)^{n}

4 0
3 years ago
the school stage is 8 3/4 feet wide and each chair is 1 5/12 feet wide. how many chairs will fit across the stage?
Sedaia [141]

Answer:

6 whole chairs

Step-by-step explanation:

(8 + (3/4)) / (1 + (5/12))

8.75 / 1.42

6.18 chairs

6 0
3 years ago
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