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MrRa [10]
3 years ago
7

Jill works at the High School. If she travels from her house and does not make any stops, what is the shortest distance that she

travels roundtrip?
A. 11 miles
B. 12 miles
C. 22 miles
D. 33 miles
Mathematics
2 answers:
igor_vitrenko [27]3 years ago
7 0

Answer:

22 miles

Step-by-step explanation: I know what you are talking about because I've had this assignment but it would be better to put a map or picture for people.

stellarik [79]3 years ago
6 0
22 miles is the answer I’m sure
You might be interested in
Kevin ran 5 miles in the race. How many yards did Kevin run? (1 mile = 1,760 yards) A. 10,560 yards B. 8,800 yards C. 1,755 yard
nexus9112 [7]
1,760 x 5 = 8,800
B. 8,800
6 0
3 years ago
2.25k - 20 = 6.5k + 14 please help me solve this step by step asap!
Rom4ik [11]
Answer:

k= -8

Explaining:


Move variable to the left-hand side and change its sign.

2.25k - 6.5k - 20= 6.5k - 6.5k + 14


Since two opposites add up to zero, remove them from the expression.

2.25k - 6.5k - 20= 14

Collect like terms!

-4.25k = 14 + 20

Add the numbers

-4.25k = 35


Divide both sides of the equation by -4.25

So you will get the answer: k= -8
8 0
3 years ago
g Use this to find the equation of the tangent line to the parabola y = 2 x 2 − 7 x + 6 at the point ( 4 , 10 ) . The equation o
natali 33 [55]

Answer:

The tangent line to the given curve at the given point is y=9x-26.

Step-by-step explanation:

To find the slope of the tangent line we to compute the derivative of y=2x^2-7x+6 and then evaluate it for x=4.

(y=2x^2-7x+6)'          Differentiate the equation.

(y)'=(2x^2-7x+6)'       Differentiate both sides.

y'=(2x^2)'-(7x)'+(6)'    Sum/Difference rule applied: (f(x)\pmg(x))'=f'(x)\pm g'(x)

y'=2(x^2)'-7(x)'+(6)'  Constant multiple rule applied: (cf)'=c(f)'

y'2(2x)-7(1)+(6)'        Applied power rule: (x^n)'=nx^{n-1}

y'=4x-7+0               Simplifying and apply constant rule: (c)'=0

y'=4x-7                    Simplify.

Evaluate y' for x=4:

y'=4(4)-7

y'=16-7

y'=9 is the slope of the tangent line.

Point slope form of a line is:

y-y_1=m(x-x_1)

where m is the slope and (x_1,y_1) is a point on the line.

Insert 9 for m and (4,10) for (x_1,y_1):

y-10=9(x-4)

The intended form is y=mx+b which means we are going need to distribute and solve for y.

Distribute:

y-10=9x-36

Add 10 on both sides:

y=9x-26

The tangent line to the given curve at the given point is y=9x-26.

------------Formal Definition of Derivative----------------

The following limit will give us the derivative of the function f(x)=2x^2-7x+6 at x=4 (the slope of the tangent line at x=4):

\lim_{x \rightarrow 4}\frac{f(x)-f(4)}{x-4}

\lim_{x \rightarrow 4}\frac{2x^2-7x+6-10}{x-4}  We are given f(4)=10.

\lim_{x \rightarrow 4}\frac{2x^2-7x-4}{x-4}

Let's see if we can factor the top so we can cancel a pair of common factors from top and bottom to get rid of the x-4 on bottom:

2x^2-7x-4=(x-4)(2x+1)

Let's check this with FOIL:

First: x(2x)=2x^2

Outer: x(1)=x

Inner: (-4)(2x)=-8x

Last: -4(1)=-4

---------------------------------Add!

2x^2-7x-4

So the numerator and the denominator do contain a common factor.

This means we have this so far in the simplifying of the above limit:

\lim_{x \rightarrow 4}\frac{2x^2-7x-4}{x-4}

\lim_{x \rightarrow 4}\frac{(x-4)(2x+1)}{x-4}

\lim_{x \rightarrow 4}(2x+1)

Now we get to replace x with 4 since we have no division by 0 to worry about:

2(4)+1=8+1=9.

6 0
3 years ago
DOES ANYONE KNOW THE ANSWERS TO THESE PROBLEM, PLZ HELP!
Virty [35]

Answer:

Q.1.

Sum of angles of a triangle = 180°

∠A + ∠B + ∠c = 180

(3x - 9) + (4x + 15) + 90 = 180

3x - 9 + 4x + 15 + 90 = 180

7x + 96 = 180

7x = 84

x = 12

∠A = 3x - 9 = 3(12) - 9 = 36 - 9 = 27°

∠B = 4x + 15 = 4(12) + 15 = 48 + 15 = 63°

∠A = 27°

∠B = 63°

Q.2.

using \ pythagoras \ theorem \\x^2 = 7^2 + (7\sqrt{3} )^{2} = 49  + 49(3) = 196\\x = \sqrt{196}  = 14

sin y = \frac{opposite}{hypotenuse} = \frac{7\sqrt{3} }{14}   = \frac{\sqrt{3} }{2} \\\\y = sin^{-1} (\frac{\sqrt{3} }{2} ) = 60

x = 14

y = 60°

8 0
2 years ago
CAN YOU HELP ME PLEASE I NEED THIS RIGHT NOW I DONT UNDERSTAND
Neporo4naja [7]

Answer:

divide the smaller number by the larger number

Step-by-step explanation:

54.8% or 55%

4 0
3 years ago
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