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creativ13 [48]
2 years ago
5

Choose the most correct answer 1) If p= -1/2. then p2 = ?

Mathematics
1 answer:
ANTONII [103]2 years ago
8 0

Answer:

p2 = -1

Step-by-step explanation:

p = -1/2

p2 = (-1/2)*2

p2 = -2/2

p2 = -1

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Can someone please check my answers
nekit [7.7K]

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5 0
3 years ago
If 2k - 3 = 9 (k+7)-3 then k is ????
m_a_m_a [10]

Answer:

k= -9

Step-by-step explanation:

2k-3=9k+63-3     [expand the 9(k+7) first]

2k-9k=63-3+3     [put the like terms together]

-7k=63                 [do the simple math]

k= 63 ÷ by -7

k=-9  

4 0
2 years ago
Read 2 more answers
You want to put shingles on the outside walls and solar panel the roof of the barn shown. It costs ​$2.50 for each square meter
Luden [163]

Answer: 975

Step-by-step explanation:

The cost would be 975

3 0
2 years ago
2. Consider the circle x² + y2 = 1, given in figure. Let OP makes an angle 30° with the x axis.
PolarNik [594]

The equation of the tangent line to the circle passing through the point P is; y = (1/√3)x ± 2/√3

<h3>How to find the equation of the tangent?</h3>

I) We are given the equation of the circle as;

x² + y² = 1

Since angle of inclination is 30°, then slope is;

m = tan 30 = 1/√3

Then equation of the tangent will be;

y = (1/√3)x + c

Put  (√3)x + c into the given circle equation to get;

x² + ((1/√3)x + c)² = 1

x² + ¹/₃x² +  (2/√3)cx + c² = 1

⁴/₃x² +  (2/√3)x + (c² - 1) = 0

Since we need to find value of c for equation to become tangent, then the above quadratic equation must have real and equal roots.

Thus;

((2/√3)c)² - 4(⁴/₃)(c² - 1) = 0

⁴/₃c² - ¹⁶/₃(c² - 1) = 0

⁴/₃c² - ¹⁶/₃c² + ¹⁶/₃ = 0

4c² = ¹⁶/₃

c² = ⁴/₃

c = √⁴/₃

c = ±²/√3

Thus, equation of tangent is;

y = (1/√3)x ± 2/√3

II) Radius from the given equation is 1. Thus, we will use trigonometric ratio to find the x and y intercept;

x-intercept is at y = 0;

0 = (1/√3)x ± 2/√3

-(1/√3)x = ±2/√3

Intercept is positive. Thus;

x = (2/√3)/(1/√3)

x = 1

y - intercept is positive at x = 0;

y = (1/√3)0 ± 2/√3

y = 2/√3

Read more about Equation of tangent at; brainly.com/question/17040970

#SPJ1

6 0
1 year ago
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