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azamat
3 years ago
7

Write the slope intercept form of the line passing through (-1,5) with y-intercept -4.

Mathematics
1 answer:
Vesna [10]3 years ago
6 0

Answer:

y = -x + 4

Step-by-step explanation:

Slope-intercept form of a line is the equation:  y = mx + b

where m is the slope and b is the y-intercept

Step 1:  Find the slope

Label the points that are given.  

(-1,5) = (x1, y1)

(0, 4) = (x2, y2)      (this is what they told us the y-intercept is)

The formula for slope is:   m = (y2 - y1)/(x2 - x1)

The slope for this problem is

m = (4 - 5)/(0 - (-1))  

m = -1/1 = -1

We now have m and b, so our equation is:  y = -x + 4

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Which is a perfect square <br> 72<br> 81<br> 90<br> 99
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Answer:

90

Step-by-step explanation:

90 degree angle is a perfect square

5 0
3 years ago
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Alborosie
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5 0
4 years ago
Use the quadratic formula to solve x^2+8x+9=0
Tju [1.3M]
None of your options, not via complete the square nor quadratic the formula.

Solve for x over the real numbers:
x^2 + 8 x + 9 = 0

x = (-8 ± sqrt(8^2 - 4×9))/2 = (-8 ± sqrt(64 - 36))/2 = (-8 ± sqrt(28))/2:
x = (-8 + sqrt(28))/2 or x = (-8 - sqrt(28))/2

sqrt(28) = sqrt(4×7) = sqrt(2^2×7) = 2sqrt(7):
x = (2 sqrt(7) - 8)/2 or x = (-2 sqrt(7) - 8)/2

Factor 2 from -8 + 2 sqrt(7) giving 2 (sqrt(7) - 4):
x = 1/22 (sqrt(7) - 4) or x = (-2 sqrt(7) - 8)/2

(2 (sqrt(7) - 4))/2 = sqrt(7) - 4:
x = sqrt(7) - 4 or x = (-2 sqrt(7) - 8)/2

Factor 2 from -8 - 2 sqrt(7) giving 2 (-sqrt(7) - 4):
x = sqrt(7) - 4 or x = 1/22 (-sqrt(7) - 4)

(2 (-sqrt(7) - 4))/2 = -sqrt(7) - 4:

Answer: x = sqrt(7) - 4 or x = -sqrt(7) - 4_____________________________________________________

Solve for x:
x^2 + 8 x + 9 = 0

Subtract 9 from both sides:
x^2 + 8 x = -9

Add 16 to both sides:
x^2 + 8 x + 16 = 7

Write the left hand side as a square:
(x + 4)^2 = 7

Take the square root of both sides:
x + 4 = sqrt(7) or x + 4 = -sqrt(7)

Subtract 4 from both sides:
x = sqrt(7) - 4 or x + 4 = -sqrt(7)

Subtract 4 from both sides:
Answer:  x = sqrt(7) - 4 or x = -4 - sqrt(7)
4 0
3 years ago
Y=5/2x-19 and 5x+2y=-8 a perpendicular,parallel or intersecting lines?
dimaraw [331]

Answer:

There intersecting lines

Step-by-step explanation:

5x+2y=-8

-5x            -5x

2y=-8 -5x

/2   /2  /2

y=-4 -5/2x also

y=-5/2x - 4

&

y=5/2x - 19

neither parallel (slope is not the same)

or perpendicular (slope is not reciprocal or opposite signed)

hope i helped

6 0
4 years ago
Simplify using appropriate property: 5/7 X 1/5 + 5/7 X 3/5Simplify using appropriate property:
chubhunter [2.5K]

Answer:

4/7

Step-by-step explanation:

5/7 x (1/5+3/5) = 5/7 x 4/5 = 4/7

8 0
3 years ago
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