Help me out pls!! 17p

Answers

Answer 1

Answer: So

13-___=6
So 13-6=___

6-___=-1
6-(-1)=___

-1-____=-8
-1-(-8)=___

Well 13-6= 6+1= -1+8= 7

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One hour after a hiker left camp, a biker set out to catch up. If the hiker traveled 3 miles per hour and the biker traveled 6 miles per hour faster, how long will it take for the biker to catch up with the hiker?

Answers

Answer:

30 minutes after biker left

Step-by-step explanation:

Given that :

Speed of hiker = 3 mph

Speed of biker = (3 +6) = 9 mph

Present Distance of hiker when the biker set out ;

Present Distance of hiker = speed * time = (3 * 1) = 3 miles

Time taken to catchup equals :

Present distance + (distance when biker set out) = bikers distance

Let time taken = x

(3 + (3 * x)) = (9 *x)

(3 + 3x) = 9x

3 + 3x = 9x

3 = 9x - 3x

3 = 6x

x = 3/6

x = 1/2 hours

x = 30 minutes

30 minutes after biker left

Answer:

0.5 hrs or 30 mins

Step-by-step explanation:

Find an equation of the line that has the given slope and contains the given point. m=7/3 (1,6)

Answers

The point-slope form:

$y-y_1=m(x-x_1)$

We have the point (1, 6) and the slope m = 7/3. Substitute:

$y-6=(7)/(3)(x-1)$ use distributive property

$y-6=(7)/(3)x-(7)/(3)$ add 6 to both sides

$y=(7)/(3)x+(11)/(3)$ multiply both sides by 3

$3y=7x+11$ subtract 7x from both sides

$-7x+3y=11$ change the signs

$7x-3y=-11$

Answer:

point-slope form: $y-6=(7)/(3)(x-1)$

slope-intercept form: $y=(7)/(3)x+(11)/(3)$

standard form: $7x-3y=-11$

Geometry. Please help ASAP.In the figure, PA and PB are tangent to circle O and PD bisects ∠BPA . The figure is not drawn to scale.

A. 78
B. 33
C. 90
D. 66

Answers

Please see the pic, I'd solved your question in it.

10y+23=4y+26 please help

Answers

$10y+23=4y+26\ \ \ \ /-23\n\n10y=4y+26-23\n\n10y=4y+3\ \ \ /-4y\n\n10y-4y=3\n\n6y=3\ \ \ \ /:6\n\ny=(3)/(6)\n\ny=(1)/(2)$

Holly has 46 quart of potato salad. She gives 26 quart to a friend. How much potato salad does she have left? Explain.

Answers

Answer:

Holly has 20 quart of potato salad left.

Step-by-step explanation:

Holly has 20 quart of potato salad because she originally has 46 quart of potato but gave her friend 26, subtracting 26 from the original amount of quart of potato she had.

Eliminate the parameter to find the cartesian equation of the curve: x=7sinθ,y=cos2θ,−π2≤θ≤π2 x=7sin⁡θ,y=cos2⁡θ,−π2≤θ≤π2 the equation of the curve is: y = equation editorequation editor from x = equation editorequation editor to x =

Answers

Answer:

$y = 1 - (2)/(49)\cdot x^(2)$

Step-by-step explanation:

The parametrical components of the curve are:

$x = 7 \cdot \sin \theta$ and $y = \cos 2\theta$

After some trigonometrical and algebraic handling, the parametrical variable is eliminated in the resulting expression:

$y = \cos^(2)\theta - \sin ^(2)\theta$

$y = 1 - 2\cdot \sin^(2)\theta$

$y = 1 - 2\cdot \left((x^(2))/(49) \right)$

$y = 1 - (2)/(49)\cdot x^(2)$

Final answer:

To eliminate the parameter and find the Cartesian equation of the curve x = 7sin⁡θ,y = cos2⁡θ, we can express x in terms of θ, rearrange the equation, and substitute it into the other equation to eliminate the parameter θ. The resulting equation 2(x/7)² + y - 1 = 0 represents the Cartesian equation of the curve.

Explanation:

To eliminate the parameter and find the Cartesian equation of the curve, we can express x in terms of θ using the given equation x = 7sin⁡θ. Rearranging this equation, we get sin⁡θ = x/7. Similarly, we can express y in terms of θ using the given equation y = cos2⁡θ, which can be rewritten as cos⁡(2θ) = y.

Now we can use the trigonometric identity cos⁡(2θ) = 1 - 2sin²⁡θ to eliminate θ from the equations. Substituting this identity into the second equation, we get 1 - 2(sin⁡θ)² = y.

Simplifying this equation, we have 2(sin⁡θ)² + y - 1 = 0. Finally, we can express sin⁡θ in terms of x using the equation sin⁡θ = x/7, and substitute it into the simplified equation to eliminate θ. This gives us 2(x/7)² + y - 1 = 0, which represents the Cartesian equation of the given curve.

Learn more about Eliminating the Parameter here:

brainly.com/question/33849284

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