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Mnenie [13.5K]
2 years ago
11

Can someone plsss help me :((

Mathematics
1 answer:
nevsk [136]2 years ago
6 0

Answer:

No

Step-by-step explanation:

equation is y=2x+3

The point we have is (15,29)

i.e. x=15 and y=29

if we put x=15 in the equation we should get the value of y=29

y=2(15)+3

=30-3

=27

Here, we didn't get y=29 instead we got y=27

So the point (15,29) doesn't follow that equation

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Answer:

The car gets 35 miles per gallons.

Step-by-step explanation:

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3 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
HELPP PLEASEEEE ANYONE!!
Wewaii [24]

Answer:

kathryn= 6 years old

her mother= 38 years old

Step-by-step explanation:

kathryn=x

mother= x²+2

x²+2 +x=44

x=6

kathryn= 6 years old

her mother= 38 years old

4 0
2 years ago
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Elenna [48]

Answer:

True ( A )

Step-by-step explanation:

4 ( 5 ) - 2 =  2 ( 5 ) + 8

20 - 2 = 10 + 8

18 = 18

This is a correct statement because 18 does equal 18

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Estimate the difference.
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Your answer would be 120
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