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sergij07 [2.7K]
3 years ago
14

Consider lines An and CD

Mathematics
1 answer:
vichka [17]3 years ago
5 0

Answer:

slope of AB = 2

slope CD = 2

Step-by-step explanation:

the equation of a line is y = ax+ b  where a is the slope, b is the y-intercept

let us take  yB - yA

→ yB - yA = axB <u>+ b</u> - axA <u>- b</u>

→ yB - yA = a(xB - xA)

→ a = (yB - yA) / (xB = xA)   =  (6 - 2) / (-5 - (-7)) = 2

same goes for line CD

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Solve -5(x-7)^2+30=-20
Alex Ar [27]

Answer:

x=7−√10 or x=7+√10

Step-by-step explanation:

−5(x−7)2+30=−20

Step 1: Simplify both sides of the equation.

−5x2+70x−215=−20

Step 2: Subtract -20 from both sides.

−5x2+70x−215−(−20)=−20−(−20)

−5x2+70x−195=0

For this equation: a=-5, b=70, c=-195

−5x2+70x+−195=0

Step 3: Use quadratic formula with a=-5, b=70, c=-195.

x=

−b±√b2−4ac

2a

x=

−(70)±√(70)2−4(−5)(−195)

2(−5)

x=

−70±√1000

−10

x=7−√10 or x=7+√10

8 0
3 years ago
1. A line contains the points (−12,−60) and (60,− 42). What is the slope of the line in simplified form? PLEASE HELP QUICKLY!!!!
Galina-37 [17]

Answer:

the answer should be 0.25

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

therefore m=(-42-(-60))/(60-(-12))

(-42+60)/(60+12)

18/72

simplify

1/4

further simplify

0.25 should be the final answer

8 0
3 years ago
19x+rx=−37x+w<br><br> Solve for x
Llana [10]

19x + rx = -37x + w

Add 37x on both sides

19x + rx + 37x = w

Factor out the x

x(19 + r + 37) = w

You can simplify this to:

x(56 + r) = w

Divide (56 + r) on both sides to get x by itself

x = \frac{w}{56 + r}

3 0
3 years ago
What is the side length of a cube with volume 4913 cm3?
Elan Coil [88]
A=17 cm 

you would need to find the volume of the shape! (:
7 0
3 years ago
Can anyone help me out here?
Alex_Xolod [135]

Answer:

J. 19.7

Step-by-step explanation:

SOH<em>(</em><em>sine = </em><em>opposite side/hypotenuse)</em> CAH TOA

sin 80° = RS/20

=> 0.985 = RS/20

=> RS = 20 × 0.985 = 19.7

5 0
3 years ago
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