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diamong [38]
3 years ago
5

Help me plz asap!!!!!!!

Mathematics
2 answers:
NISA [10]3 years ago
7 0
I think the answer would be 30 minutes
ycow [4]3 years ago
6 0
It will take her 1/2 an hour to get there because if she walks 4 mile an hour and it is 2 miles away the you divide 4 by 2 and 1 hour by 2 so it equals a half an hour.
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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
A relation is what in math
Kisachek [45]
A relation is a relationship between sets of values. In math, the relation is between the x-values and y-values of ordered pairs. The set of all x-values is called the domain, and the set of all y-values is called the range.
6 0
3 years ago
Read 2 more answers
PLEASE HELP 5 STAR + BRAINLY IF RIGHT!
Sever21 [200]
Right your ratio of \frac{8}{12}
Simplify fraction to 3/4
Now set it up with c/100 to find the percent (c equaling the percentage of caremel brownies)

Cross multiplty:
\frac{2}{3} \frac{c}{100}

Crossmultiply:
3c = 200
Divide (solve equation)

c = <span>66.6666666667</span>
7 0
2 years ago
Read 2 more answers
Mark borrow $200 at 12% compound interest for 2 years if he makes no payments how much interest will he owe at the end of the se
Arlecino [84]
B (if annual interest), 
200+12%=224
224+12%=250.88
6 0
3 years ago
Ok help it’s for a grade I will give Brainly if right
pishuonlain [190]

Answer: 15h^2 + 26h -21

Step-by-step explanation:

Use the foil method. Multiply in this order

First, 5h*3h= 15h^2

outer, 5h*7 = 35h

inner, -3*3h= -9h

last, -3*7= -21

Now add them all together

15h^2 + 35h + -9h + -21

Combine like terms

15h^2 + 26h -21

5 0
3 years ago
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