What is the equation of a line perpendicular to -x+2=y that intersects the line at (-1.5, 3.5)?

Mathematics

1 answer:

Soloha48 [4]3 years ago

6 0

Answer:

B- y=x+5

Step-by-step explanation:

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What multiplies to -12 but added together equals -10

Airida [17]

Let the two numbers be x and y, then,
xy = -12 . . . (1)
x + y = -10 . . . (2)
From (2), x = -10 - y . . . (3)
Putting (3) into (1), gives
(-10 - y)y = -12
-10y - y^2 = -12
y^2 + 10y - 12 = 0
$y= \frac{-10\pm \sqrt{10^2-(4\times(-12))} }{2} = \frac{-10\pm \sqrt{148} }{2} = \frac{-10\pm 2\sqrt{37} }{2} = -5\pm\sqrt{37}$

Therefore, the two numbers are $-5+\sqrt{37}$ and $-5-\sqrt{37}$

4 0

3 years ago

Someone help me please

kobusy [5.1K]

Answer:

17.5

Step-by-step explanation:

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2 years ago

The dimensions of a right triangle are shown in the diagram.

ryzh [129]

Answer:

18.4 cm

Step-by-step explanation:

For this problem, you would use <em>Pythagorean Theorem </em>or a^2+b^2=c^2. Don't forget that the c in the formula is always your hypotenuse or the longest side of the triangle. The a and the b are always the legs of the triangle. (It doesn't matter which leg is which letter) The hypotenuse is also always across from the 90 degree angle. <u>Picture the 90 degree angle as an arrow pointing to the hypotenuse.</u> In this case, the hypotenuse (or c) is 20.7 cm. Now all you have to do is plug and chug! I hope this helps you and thanks for asking your question!!