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kotegsom [21]
3 years ago
9

The equation of the line WX is 2X plus Y equals -5 what is the equation of a line perpendicular to line WX in slope intercept fo

rm that contains point negative one -2
Mathematics
1 answer:
tensa zangetsu [6.8K]3 years ago
4 0

Answer:

y = \frac{1}{2}x - \frac{3}{2}

Step-by-step explanation:

The equation of the line WX is, 2x + y = - 5

⇒ y = - 2x - 5 .......... (1)

This equation is in slope-intercept form and the slope is - 2 and the y-intercept is - 5.

Now, if a line perpendicular to equation (1) having slope m then, m × (- 2) = - 1

⇒ m =  \frac{1}{2}

{Since the product of slopes of two mutually perpendicular straight line is - 1}

Therefore, the equation of the perpendicular line is

y = \frac{1}{2}x + c, where c is a constant and we have to find it.

This above line passes through the point (-1,-2) and hence

- 2 = \frac{1}{2}(- 1) + c

⇒ c = - \frac{3}{2}

Therefore, the equation of the line will be y = \frac{1}{2}x - \frac{3}{2} (Answer)

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3 years ago
Jo is thinking of a number. Four less than 9 times the number is 176. Find Jo’s number
kondaur [170]

Answer:

Jo's Number is 20.

Step-by-step explanation:

4 - ( 9 x ? ) = 176.

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5 0
3 years ago
Write in ordinary form : 6 x 10^-4
GuDViN [60]
6x10^-4
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5 0
3 years ago
What is the value of w? 28=4(w−3)
sveticcg [70]

Answer:

w=10

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7 0
3 years ago
Read 2 more answers
How to solve this question #4 ?
gayaneshka [121]
This question is a piece-o-cake if you know the formulas for the area and volume of a sphere, and impossible of you don't.

Area of a sphere = 4 π R²  (just happens to be the area of 4 great circles)

Volume of a sphere = (4/3) π R³

We know the area of this sphere's great circle, so we can use the
first formula to find the sphere's radius.  Then, once we know the
radius, we can use the second formula to find its volume.

Area of 4 great circles = 4 π R²

Area of ONE great circle = π R²

           225 π cm²  =  π R²

               R²  =  225 cm²

               R  =  √225cm²  =  15 cm .

Now we have a number for R, so off we go to the formula for volume.

         Volume  =  (4/3) π R³

                      =  (4/3) π (15 cm)³

                      =  (4/3) π (3,375 cm³)

                       =      14,137.17  cm³      (rounded)

This answer feels very good UNTIL you look at the choices.
_____________________________________________________

I've gone around several loops and twists trying to find out what gives here,
but have come up dry.

The only thing I found is the possibility of a misprint in the question:  

If the area of a great circle is 225π cm², then the sphere's AREA is 900π cm².

I'm sure this is not the discrepancy.  I'll leave my solution here, and hope
someone else can find why I'm so mismatched with the choices.
5 0
3 years ago
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