James is from Rochester. Today, he has to travel to Cannon Falls for a morning meeting and then to Austin for an afternoon meeting and then home again. Cannon Falls is 45 miles directly north of Rochester. Austin is 42 miles directly west of Rochester. There is a nice straight road from Cannon Falls to Austin. Calculate the total distance he will be driving. Round your answer to the nearest mile.
(Drawing a map may be helpful.)

a. Slope 2 and y-intercept 3

Slope-intercept form: [tex]\bold{y=2x+3}[/tex]

Standard form: [tex]\bold{2x-y=-3}[/tex]

b. Slope [tex]\frac{3}{5}[/tex] and y-intercept -6

Slope-intercept form: [tex]\bold{y=\frac{3}{5}x-6}[/tex]

Standard form: [tex]\bold{3x-5y=30}[/tex]

c. Slope [tex]-\frac{3}{2}[/tex] and y-intercept 9

Slope-intercept form: [tex]\bold{y=-\frac{3}{2}x+9}[/tex]

Standard form: [tex]\bold{3x+2y=18}[/tex]

d. Slope -3 and y-intercept 0

Slope-intercept form: [tex]\bold{y=-3x}[/tex]

Standard form: [tex]\bold{3x+y=0}[/tex]

Answer:

D: f(x) = (x+6)(x+6)

Step-by-step explanation:

The function has a multiplicity of 2, meaning the factor appears twice. So, x=-6 will be the only x-intercept.

Answer:

35 degrees.

Step-by-step explanation:

Answer:

35 degrees

Step-by-step explanation:

27 - 35 = -8

Answer:

420 minutes

Step-by-step explanation:

first I subtracted 30 from 59.4 and got 29.4

then I divided 29.4 by .07 and got 420

so there you go hope it helped

Answer:

Synthetic division is another way to divide a polynomial by the binomial x - c , where c is a constant.

Step-by-step explanation:

Set up the synthetic division.

Bring down the leading coefficient to the bottom row.

Multiply c by the value just written on the bottom row.

Add the column created in step 3.

Step-by-step explanation:

there is no diagram here.

I assume that the race track is a rectangle in the middle and two half-circles at the left and right ends, and that the length of the rectangle is D = 2R. which makes the rectangle actually a square, as the width is the diameter of the (half-)circles, which is also 2R.

Sonic ran the track 5 times in 10 seconds with a speed of 321 m/s.

that means he ran 10×321 m in 10 seconds = 3210 m.

so, 5 times the track is 3210 m, which means that the track itself is 3210/5 = 642 m long.

and based on the assumptions above the track consists of 2 times the length of the rectangle (or square), and the full circumference of a circle with radius R (2 half-circles make one full circle).

we know the formula for the circumference of a circle :

2×pi×radius

so, we have then

642 = 2×2R + 2×pi×R = R×(4 + 2×pi)

R = 642 / (4 + 2×pi) = 62.43201701...

and when using the requested "cut-off" pi = 3.14, we get

R = 642 / (4 + 2×3.14) = 62.45136187...

and that is rounded 62.5

so, the second answer option is correct.

Answer:

D.

Step-by-step explanation:

The question is asking which expressions are the same. To find the answer, or rather confirm it, you should simplify each expression.

A. 8+(3*y) and (8+3)*y

8+3y and 11y

This cannot be the answer, when simplified they are not equal

B. (7-3)*y and 7-(3*y)

4y and 7-3y

This cannot be the answer, when simplified they are not equal

C. (6/y)+13 and 13+(y/6)

13+6/y and y/6+13

This cannot be the answer, when simplified they are not equal

D. 7+(y*5) and 7+(5*y)

7+5y and 7+5y

This is the answer, when simplified they are equal

I hoped this helped and made it easier to understand! :)

[tex](1)\\\\-88\leq -8(x+6)\\\\\implies -88\leq -8x -48\\\\\implies -88+48 \leq -8x\\\\\implies -40 \leq -8x\\\\\implies \dfrac{-40}{-8} \geq x~~~~ ;[\text{Dividng by a negative number so, reverse the inequality}]\\\\\implies 5 \geq x\\\\\implies x \leq 5\\\\\text{Interval solution,}~ (-\infty,5]\\\\\\(2)\\\\43 > -5k+3 \geq 8\\\\\text{Now,}\\\\43>-5k+3\\\\\implies 43-3 > -5k\\\\\implies 40 >-5k\\\\\implies - \dfrac{40}5 <k\\\\\implies -8<k\\\\\implies k>-8\\\\[/tex]

[tex]-5k+3 \geq 8\\\\\implies -5k \geq 8 -3\\\\\implies -5k \geq 5\\\\\implies k \leq -1\\\\\text{Combine solutions,}\\\\-8<k\leq -1\\\\\text{Interval solution,}~ (-8, -1][/tex]

Answer:

x = (-b ± √b² - 4ac)/2a

Step-by-step explanation:

Answer:

Step-by-step explanation:

c

Answer:

29/48

Step-by-step explanation:

3 5/8  Divided By 6= 29/48

Dividing fractions is simple if you know what to do, and how to multiply.

Here's how:

-----------------------------

1. convert any whole number or mixed number into a fraction.

6 = 6/1.

Whole number x denominator + numerator = 29/8

 (3)                              (8)                       (5)         (answer/original denominator)

-----------------------------

2. Keep, Change, Flip (KCF)

29             1

__      x     __

8                6

With KCF, we keep the first fraction, change the division to multiplication, and flip the second fraction.

---------------------------------------

3. Multiply numerators and denominators

29 x 1 =      29

                  __

8 x 6   =     48

29/48 is in it's simplest form.

Hence, your answer.

Answer:WHAT VALUE AND WHAT DIGIT

Step-by-step explanation:

Answer:

You can! It's just a matter of personal choice.

Step-by-step explanation:

Answer:  The compound interest formula is an equation that lets you estimate how much you will earn with your savings account.

Step-by-step explanation:

Answer:

the answer is b -12 is closer to being a positive number making it worth more than -17. so you're answer would be -12>-17

Answer:

well -5.5 is the left side of the graph then goes up 3 y which brings you to the -x positive y quadrant or the top left quadrant which is quadrant 2

Answer:

Need more information

If you want put a graph or explain more your question

Answer: helloooo

Step-by-step explanation:

Television = $200 and Video Recorder = $450

sory if im wrong this is just what I think

5^-5, 5^0, 5^4

Explanation:

5^-5 would end up being in the negatives,

5^0 would end up equaling 5 or 0

5^4 is automatically more than 5^0 because 4 is greater than 0.

Answer

A: 3.6069 x 10^4

The aluminum section's area formula solved for h is [tex]h =\frac{A}{a - b}[/tex]

From the complete question, the expression of the area (A) in terms of variables a, b and h is:

[tex]A = ah - bh[/tex]

Factor out h from the expression on the right-hand side

[tex]A = h(a - b)[/tex]

Divide both sides of the equation by (a - b)

[tex]\frac{A}{(a - b)} = h[/tex]

Remove the bracket

[tex]\frac{A}{a - b} = h[/tex]

Rewrite the above equation as follows:

[tex]h =\frac{A}{a - b}[/tex]

Hence, the aluminum section's area formula solved for h is [tex]h =\frac{A}{a - b}[/tex]

Read more about change of subject at:

https://brainly.com/question/9070883

Answer:

The answer is B

Step-by-step explanation:

you know that x is quarters which is .25 and you know that y is nickels which is .05

there are a total of 13 coins in the bank so x+y = 13

you also know that the 13 coins = 3.55

so plug in all that you know and the problem is

0.25x + 0.05y = 3.55

Answer:

b= 1/3n - 8a/3

Step-by-step explanation:

hope that help you mark me brinilylist

So, the infinite sum can be determined in the geometric series a₁ = 5, r = -0.5.

For a geometric series the infinite sum is given by s = a/(1 - r) where a = first term, r = common ratio and |r| < 1.

For each of the geometic series given below, we need to determine if |r| < 1.

For a₁ = -0.25, r = - 3, |r| = |-3| = 3 > 1

For a₁ = 0.75, r = 4, |r| = |4| = 4 > 1

For a₁ = 3, r = 2, |r| = |2| = 2 > 1

For a₁ = 5, r = -0.5, |r| = |-0.5| = 0.5 < 1

Since we require |r| < 1 to find the infinite sum and |r| in the last geometric series |r| = 0.5 < 1, the infinite sum can be found in the geometric series a₁ = 5, r = -0.5..

So, the infinite sum can be determined in the geometric series a₁ = 5, r = -0.5.

Learn more about infinite sum of geometric series here:

https://brainly.com/question/16037289

Answer:

A. $4.25 per 1 kg of spice

B. 60 : 40 = 3 : 2

Step-by-step explanation:

200 g = 0.2 kg (÷100)

unit price formula: cost ÷ quantity

0.85 ÷ 0.2 = 4.25

set a proportion;

60 3

---- = ---

x 2

3÷60 = 0.05 2

2 ÷ 0.05 = 40

x = 40

hope this helps!

Answer:

20% of 2500 is 500

Step-by-step explanation:

Answer:

500

Step-by-step explanation:

We need to determine 20% of 2500 now and the procedure explaining it as such

Step 1: In the given case Output Value is 2500.

Step 2: Let us consider the unknown value as x.

Step 3: Consider the output value of 2500 = 100%.

Step 4: In the Same way, x = 20%.

Step 5: On dividing the pair of simple equations we got the equation as under

2500 = 100% (1).

x = 20% (2).

(2500%)/(x%) = 100/20

Step 6: Reciprocal of both the sides results in the following equation

x%/2500% = 20/100

Step 7: Simplifying the above obtained equation further will tell what is 20% of 2500

x = 500%

Therefore, 20% of 2500 is 500

Answer:

The domain of the graph is all real numbers less than or equal to 0.

Hope this helps! :D