16. You and a friend are going shopping. You leave school and drive 10 miles
due west on 26th Street. You then drive 7 miles NW on Raspberry Street to the
grocery store. Your friend leaves school and drives 10 miles due east on 26th Street.
He then drives 7 miles SE on Cascade Street to the movie store. Each of you has
driven 17 miles. Which of you is farthest from your school?

16. You And A Friend Are Going Shopping. You Leave School And Drive 10 Milesdue West On 26th Street.

Answers

Answer 1

Answer:

My friend is farthest from my school

Step-by-step explanation:

Let the distance from the movie store to school be x and the distance from the grocery store to school be y

Using Cosine rule,

x²= 10²+7² - 2×10×7Cos120

x²= 149 -140(-0.5)

x²= 149+70

x²= 219

x= √219

= 14.8miles

y²= 10²+7² - 2×10×7Cos100

y²= 149 -140(-0.1736)

y²=149+24.2704

y²=173.2704

y=√173.2704

y=13.4miles


Related Questions

can someone please help me with this

Answers

Answer:

a or b.

Step-by-step explanation:

how to find the intervals of increasing and decreasing

Answers

Answer:

Given a function f(x), for determining in what intervals the function is increasing (or decreasing) you can calculate its derivative f'(x) and put it greater than 0 (or smaller than 0). It will give you some intervals.

Each child in the Martin family decided to save money for the family vacation.

Mrs. Martin asked the children to show how they would spend the money if given $20 each week for 8 weeks.


Which person would have the most money left for the vacation?

Answers

Answer:

The story is not clear enough to provide the answer

Step-by-step explanation:

First of all we do not know how many childen are in the Martin Family

[tex]20 \times 8[/tex]

=$160

So depending on how each child sends and how many children will determine which kid will have most of the money left

Determine whether the lines 3x+2y=6 and 4y=-6x-12 are parallel, intersect, or coincide

Answers

Answer:

parallel

Step-by-step explanation:

3x + 2y = 6 can be written as y = -3/2x +3

4y = -6x -12 can be written as y= -3/2x-3

same slope different y intercept so parallel

Solve by using the quadratic formula. (If there is no solution, enter NO SOLUTION.)

1/7x^2+1=3/7x
smaller value of x =
larger value of x=

Answers

[tex]\dfrac 17 x^2 + 1 = \dfrac 37 x\\\\\implies x^2 +7 =3x~~~;[\text{Multiply both sides by 7}]\\\\\implies x^2 -3x +7 =0\\\\\text{Apply quadratic formula}~ x = \dfrac{-b \pm \sqrt{b^2 -4ac}}{2a}.\\\\\text{In this case ,}~ a =1, b= -3 , c =7\\\\x = \dfrac{-(-3) \pm \sqrt{(-3)^2 - 4(1)(7}}{2(1)}\\\\\implies x= \dfrac{3 \pm \sqrt{-19}}{2}\\\\\implies x =\dfrac{ 3 \pm i\sqrt{19}}2\\\\\\\text{Smaller value of x } =\dfrac{ 3 -i\sqrt{19}}2\\\\\text{Larger value of x } =\dfrac{ 3 +i\sqrt{19}}2[/tex]

help help help help help

Answers

Answer:

i think the center (-7,6) and r = 7

will mark brainliest help

Answers

Answer:

1 = 8 and 50

2= 50 and a

Step-by-step explanation:

write an equation in slope intercept form for the line that passes through the point, and is perpendicular to the line y=-1/3x+9;(-6,-2)

Answers

Answer:

Step-by-step explanation:

y=-1/3x+9

This is written in the format y=mx+b, where m is the slope and b the y-intercept (the value of y when x=0).

Perpendicular lines have a slope that is the negative inverse of the slope of the reference line, in this case -(1/3).  The new slope is 3.  equation is:

y = 3x + b

To find b, enter the given point, (-6,-2) and solve for b:

y = 3x + b

-2 = 3(-6) + b

-2 = -18 + b

b = 16

The full equation is y=3x + 18

2(3x+4) - 4 (x + 2)=6 what dose x =

Answers

Step-by-step explanation:

2(3x + 4) - 4(x + 2) = 6

6x + 8 - 4x - 8 = 6

2x = 6

x = 6/2 = 3

someone please help me with this question, pleaseeeee :/


tyyyyy!

Answers

Answer:

4x+9y-27=0

compare and fill em

hope it helps

Answer:

2

Step-by-step explanation:

y=1y

x=1x

so the answer will be 2.

may be

hope to help!!!

A photographer charges $12 for a set of 20 pictures. Each picture cost the same amount. At this rate, how many pictures cost $30?

Answers

Answer:

Step-by-step explanation:

20/12 = 1 2/3

30 ÷ 1 2/3

= $18

How can you tell if you’re finished solving a polynomial division problem ?

Answers

Answer:

Hope this helps :D

Step-by-step explanation:

Here are the steps in dividing polynomials using the long method:

Arrange the indices of the polynomial in descending order. Replace the missing term(s) with 0.

Divide the first term of the dividend (the polynomial to be divided) by the first term of the divisor. This gives the first term of the quotient.

Multiply the divisor by the first term of the quotient.

Subtract the product from the dividend then bring down the next term. The difference and the next term will be the new dividend. Note: Remember the rule in subtraction "change the sign of the subtrahend then proceed to addition".

Repeat step 2 – 4 to find the second term of the quotient.

Continue the process until a remainder is obtained. This can be zero or is of lower index than the divisor.

If the divisor is a factor of the dividend, you will obtain a remainder equal to zero. If the divisor is not a factor of the dividend, you will obtain a remainder whose index is lower than the index of the divisor.

When a divisor has more than one term or if the divisor is a polynomial containing more than one term, the four steps used to divide whole numbers— (divide, multiply, subtract, bring down the next term)—form the repetitive procedure for the polynomial long division.

Step-by-step explanation:

find the distance, midpoint, and slope of line AB. A(-2,-1) and B(6,3)

Answers

Answer:

[tex]Slope (m) = \frac{y}{x}=\frac{1}{2} = 0.5[/tex]

[tex]Distance (d) = \sqrt{x^2+y^2} =\sqrt{80} =8.9442719099992[/tex]

[tex]Mindpoint =\left(2,\:1\right)[/tex]

Step-by-step explanation:

[tex]Slope (m) = \frac{y}{x}=\frac{1}{2} = 0.5[/tex]

[tex]0 = arctan(\frac{y}{x} = 26.565051177078^o[/tex]

[tex]Distance (d) = \sqrt{x^2+y^2} =\sqrt{80} =8.9442719099992[/tex]

X = 6 – -2 = 8

Y = 3 – -1 = 4

Equation of the line:

y = 0.5x

When x=0, y = 0

When y=0, x = -0

Midpoint:

[tex]\mathrm{Midpoint\:of\:}\left(x_1,\:y_1\right),\:\left(x_2,\:y_2\right):\quad \left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)[/tex]

[tex]\left(x_1,\:y_1\right)=\left(-2,\:-1\right),\:\left(x_2,\:y_2\right)=\left(6,\:3\right)[/tex]

[tex]=\left(\frac{6-2}{2},\:\frac{3-1}{2}\right)[/tex]

[tex]=\left(2,\:1\right)[/tex]

What is the equation of a line that goes through points (4,-5) and (-4, 1)?​

Answers

Answer:

y=-3/4x-2

Step-by-step explanation:

y=mx+b form (slope intercept form)

1) find slope

(4,-5) and (-4,1)

1-(-5)=6

-4-4=-8

m=6/-8 or 3/-4

y=-3/4x+b

Plug a coordinate in y=mx+b. Plug either (4,-5) or (-4,1)

in this case, I'll plug in (4,-5).

-5=-3/4(4)+b

Note that I substituted the y and x variables in place of one of the coordinates.

find b=-2.

Result: y=-3/4x-2

What are the factors of
[tex] {x}^{2002} - 1[/tex] ?
I want step-by-step explanation. Spam free answer required

Answers

Step 1: Trying to factor as a Difference of Squares:

Factoring:  x²⁰⁰² - 1

Theory : A difference of two perfect squares,  A² - B²  can be factored into  (A+B) • (A-B)

Proof :  (A+B) • (A-B) =

A² - AB + BA - B² =

A²  - AB + AB - B²

 A² - B²

Note :  AB = BA is the commutative property of multiplication.

Note :  - AB + AB equals zero and is therefore eliminated from the expression.

Check : 1 is the square of 1

Check: x²⁰⁰²  is the square of  x¹⁰⁰¹

Factorization is :       (x¹⁰⁰¹ + 1) × (x¹⁰⁰¹ - 1)

Malin and Shawn begin with the same number, $t$. Malin subtracts $6$ from $t$ and then divides the result by $6$. Shawn adds $7$ to $t$ and then divides the result by $7$. If Malin's final answer is the same as Shawn's final answer, what was the number $t$

Answers

Answer:

t=84

Step-by-step explanation:

Malin's answer is $\frac{t-6}{6}$. Shawn's answer is $\frac{t+7}{7}$. We know these are equal, so we have the equation

$$\frac{t-6}{6} = \frac{t+7}{7}.$$

To eliminate denominators from the problem, we multiply both sides by $6\cdot 7$:

$$\frac{6\cdot 7\cdot (t-6)}{6} = \frac{6\cdot 7\cdot (t+7)}{7},$$

then simplify to get

$$7\cdot (t-6) = 6\cdot (t+7).$$

The parentheses are important here! For example, the parentheses on the left side of the equation tell us that it is $t-6$, not just $t$, which is multiplied by $7$.

Now we expand using the distributive property:

7t - 7\cdot 6 &= 6t + 6\cdot 7;\\

7t - 42 &= 6t + 42.

Adding $42$ to both sides gives

$$7t = 6t + 84,$$

then subtracting $6t$ from both sides gives $t=\boxed{84}$.

(We can check that starting from $t=84$, Malin and Shawn do indeed get the same final answer -- namely, $13$.)

Select all equations that represent this question:

Priya is stacking building blocks to make a tower. She takes a break when the tower is 2 1/2 feet tall, which is 5/8 of the hight of the tower she wants ti build. How tall is the tower when finished?

Answers

Answer:

4 feet tall

Step-by-step explanation:

First find the unit rate of how close she is to being completed / the height of the tower

2.5/5 =.5

Next, multiply .5x8 = 4 feet fall when she is done

A) by AA similarity
B) by sas similarity
C)Not enough information
D) by sss similarity




Please see the photo



Please don't answer randomly because if you answer randomly you are gonna lose points

Answers

Answer: b

Step-by-step explanation:

Answer: It's yes and (D) SSS because all the angles are side side side and all have the same angles but one's smaller while the other is bigger but that doesn't change anything. :)

Step-by-step explanation:

simplify the expression.

Answers

Answer:

-6m^2 *n^2

Step-by-step explanation:

formula: (m^x)/(m^y)= m^(x-y)

apply formula for (4m^2)/(2m^-3)

=(4m^(2--3)/(2)

=4m^5/2

divide 4/2

=2m^5

next part 3n^5/(-mn)^3

3n^5/(-mn)^3

expand

=3n^5/ (-m^3*n^3)

=3n^(5-3)/ -m^3

=3n^2/ -m^3

both parts:

(2m^5* 3n^2)/ -m^3

= -(2m^5* 3n^2)/ m^3

= -(2m^(5-3)* 3n^2)/ 1

= -(2m^2* 3n^2)

= -(6m^2*n^2)

= -6m^2 *n^2

a
Aiden and his parents are looking at what cell phone plan is the best deal financially.
Cherokee Cell company quoted them a base price of $20 a month plus $2 per text
message. The second store that Aiden and his family visited was Warriors Wifi. They
charged $80 a month plus $0.50 per text message. Based on this information, what is
the better deal for Aiden and his family if Aiden plans on sending 175 text messages a
month and why?
O Cherokee Cell is the better deal because it will cost $70 for 25 texts.
Cherokee Cell is the better deal because it will cost $167.50 for 175 texts.
O Warrior Wifi is the better deal because it will cost $167.50 for 175 texts.
Warrior Wifi is the better deal because it will cost $70 for 25 texts.

Answers

Answer:

Warrior WiFi is better because it costs 167.50 for 175 texts.

Step-by-step explanation:

2x175 = 350 + 20 = 370

0.50x175 = 87.5 + 80 = 167.5

Complete all 4 problems

Answers

Answer:

7)-6a

8)7

9)x-1

10)8-k

Step-by-step explanation:

Here in every steps we took like terms to be added and finally there are no more like terms we cannot add nor subtract and we get answer

Answer:

7. -6a

8. 6x +5

9. x + 1

10. -k + 8

Step-by-step explanation:

7. A=1  1-7= -6  a - - 7a = -6a

8. 3x + 3x= 6x

6-1=5

6x+5

9. -8x + 9x = x

3-2 =1

x+1

10. 4+4 =8

k- 2k= -k

-k + 8

please help with this

Answers

Answer:

[tex]y = \frac{1}{8} x - 3[/tex]

Step-by-step explanation:

Formula for straight lines:

[tex]y = mx + b[/tex]

where m = slope, b = constant

Given:

y-intercept = -3 (0, -3)

m = ⅛

Substitute into formula to find b.

[tex] - 3 = \frac{1}{8} (0) + b \\ - 3 = 0 + b \\ b = - 3[/tex]

Substitute b into original formula

[tex]y = mx + b \\ y = \frac{1}{8} x + ( - 3) \\ y = \frac{1}{8} x - 3[/tex]

Which of the following points would be on the graph of
the equation y=-40 + 6?
-4, -10)
(-4, 22)
(1, -10)
(1, - 2)
О
-
о

Answers

Step-by-step explanation:

To find points on the line y = mx + b, choose x and solve the equation for y, or. choose y and solve for x.

help this is due today?​

Answers

Answer:

2s for the first box

6u for the second box

Step-by-step explanation:

when they say like terms, just think about how the letter parts of the expression are the same

like 1/2s and 2s both have the singular variable s

and how 6u and 9u both have the singular variable u

To solve this one you have to find the ones that are connected by variables or look the same

For example.

1x and 2x are like terms because they have the same variable X

4d and 6/2d are like terms because they have the same variable D

4 and 3 are like terms because they have no variables, and they are the same

So now that you understand what like terms are you may so it

1/2 and 2s are like terms because they share the same variable S

6u and 9u are like terms because they share the same variable U

I hope this helped and if it's wrong blame me

Ps. Brainlist would really help

How do I solve this question?

Answers

Answer:

A

Step-by-step explanation:

throat bababy

A blueprint has a scale of 4 inches = 12 feet. What is the scale factor? A. 1 inch = 3 feet. B. 3 inches = 1 foot. C. 4 inches = 12 feet. D. 1 inch = 4 feet

Answers

write it in web and then u will find the answer in a calculator

The solution is Option A.

The scale factor of the blueprint is given by the equation 1 inch = 3 feet

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

A blueprint has a scale of 4 inches = 12 feet

So , the value of equation A is

4 inches = 12 feet

Divide by 4 on both sides of the equation , we get

4 inches / 4 = 12 feet / 4

On simplifying the equation , we get

1 inch = 3 feet

Therefore , the value of A is 1 inch = 3 feet

Hence , the scale factor of the blueprint is 1 inch = 3 feet

To learn more about equations click :

https://brainly.com/question/19297665

#SPJ2

Write these numbers from least to greatest 0.152 0.152 0.132 0.140 01212 0.1412 0.150 0.148

Answers

Step-by-step explanation:

0.1212 < 0.132< 0.140 < 0.1412 <0.148 <0.150 < 0.152

Use the graph to describe what transformation has taken place. List your answer below.

Please help! I'll give brainliest. ​

Answers

Answer:

Reflection over y-axis (-x,y)

Step-by-step explanation:

Reflection over y-axis (-x,y)

A (-2 , 4) , A'( 2,4)

you can check the rest.

please help and show work I'll mark you brainliest if I can ​

Answers

Answer: If your talking about the angle degree it is 45°

Step-by-step explanation:

What is the sum of the addition equation 0.7 + 0.2 = ________?

Answers

Answer:

7+2=9 so the answer is 0.9

Step-by-step explanation:

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