Given a linear equation with a slope of - 13/4, determine the slope of a line that is perpendicular. Enter the answer as a fraction.

Answer: Exact Form:

√

97

6

Decimal Form:

1.64147630

Btw that's 97 radical 6

~ zachary

Answer:

[tex]d=\frac{\sqrt{97}}{6}\approx1.6415[/tex]

Step-by-step explanation:

We have the two points: (2, 5/2) and (8/3, 1).

And we want to find the distance between them.

So, we can use the distance formula:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2[/tex]

Let (2, 5/2) be (x₁, y₁) and let (8/3, 1) be (x₂, y₂). Substitute:

[tex]d=\sqrt{(\frac{8}{3}-2)^2+({1-\frac{5}{2})^2[/tex]

Evaluate the expressions within the parentheses. For the first term, we can change 2 to 6/3. For the second term, we can change 1 to 2/2. So:

[tex]d=\sqrt{(\frac{8}{3}-\frac{6}{3})^2+({\frac{2}{2}-\frac{5}{2})^2[/tex]

Evaluate:

[tex]d=\sqrt{(\frac{2}{3})^2+(-\frac{3}{2})^2[/tex]

Square:

[tex]d=\sqrt{\frac{4}{9}+\frac{9}{4}[/tex]

Add. We can change 4/9 to 16/36. And we can change 9/4 to 81/36. So:

[tex]d=\sqrt{\frac{16}{36}+\frac{81}{36}}[/tex]

Add:

[tex]d=\sqrt{\frac{97}{36}}[/tex]

We can separate the square roots:

[tex]d=\frac{\sqrt{97}}{\sqrt{36}}[/tex]

Simplify. So, our distance is:

[tex]d=\frac{\sqrt{97}}{6}\approx1.6415[/tex]

Answer:

You know 18:3 and 6:1 are equivalent ratios because if you take 18:3 and divide both sides by 3, 18/3:3/3, then you will get 6:1, which is clearly equal to 6:1.

18:3  and 6:1  are equivalent ratio because two ratios are in proportion

Given :

We are given with two ratios 18:3  and 6:1

We need to show that two ratios are equal

Lets take ration 18:3

Both 18  and 3  are divisible by 3

We can write the ratio in fraction form

[tex]\frac{18}{3} \\[/tex]

When we divide both top and bottom by 3  , we get

[tex]\frac{6}{1}[/tex]

we can say that [tex]\frac{18}{3} =\frac{6}{1}[/tex]

Hence, the ratios are equivalent ratios

18:3  and 6:1  are equivalent ratios

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Answer:

[tex]the \: value \: is \:0.5 \: i.e\: option\:b[/tex]

Answer:

.50

Step-by-step explanation:

I am pretty sure

Answer:

900,9

Step-by-step explanation:

distribute the 891 into something more simpler. 900 and 9. you can do 3 times 900 which is 2700 and subtract 3 times 9 from 2700 which is just saying 2700 minus 27, which in turn gives you 2673

Answer:

$218.50

Step-by-step explanation:

5.75×38=218.5

turn into dollars $218.50

Answer:

increase

Step-by-step explanation:

Once Your Monthly Payment Has Been Lowered, More People Will Be Interested Do To Its Lower Payment.

Answer:

see below

Step-by-step explanation:

f(x) = 4x-3

Let x=-4

f(-4) = 4*-4 -3 = -16-3 = -19

Let x=-3

f(-3) = 4*-3 -3 = -12-3 = -15

Let x=1

f(1) = 4*1 -3 = 4-3 = 1

Let x=4

f(4) = 4*4 -3 = 16-3 = 13

Let x=5

f(5) = 4*5 -3 = 20-3 = 17

Answer:

First one:-19

Second one:-15

Third one:1

Fourth one:13

Fifth one:17

HOPE THIS HELPS :)

Step-by-step explanation:

Answer:27 ://///

Step-by-step explanation:

Answer:

$.48 per bottle

Step-by-step explanation:

The unit price is the total price divided by the number of items

2.88/6

$.48 per bottle

Answer:

784

Step-by-step explanation:

My bad don't know how to explain..

Answer:

Step-by-step explanation: !!DISCLAIMER IM NOT ALWAYS THE SMARTEST BUT IM PRETTY SURE THIS IS RIGHT!

!well what I did. You know that 60 minutes=one hour. So I put 2 & 1/2 over 60.

Make 2 & 1/2 a improper fraction=5/2.

So 5/2 over 60

Then divide. 5/2 divided by 60 ( which is 60/1)

Then leave change flip, meaning leave the 5/2 change the division sign to multiplication, and flip, which you would flip 60/1 to 1/60

So we have 5/2 times 1/60. Multiply across. 5 times 1= 5. 2 times 60=120

So we have 5/120

Now we simplify 120 divided by 5 = 24. And 5 divided by 5 = 1

So 1/24

That’s all I know.. I know it didn’t have the answers but I hoped it help a bit

Answer:

4.8278117e+22

Step-by-step explanation:

Answer:

Phillips brother is 11.

Step-by-step explanation:

11 + 15  = 26

Let x be age of Philip's brother.

4 + x +x = 26

2x = 26 -2

2x = 22

x = 22/2

x = 11

Philip's brother is 11 years old

Answer:

66 inches ;

95.44 ;

4

Step-by-step explanation:

Given that:

Normal distribution with;

Mean(m) = 66 inches

Standard deviation (s) = 3 inches

A.) If a horse is chosen at random, Expected height will be equal to the mean of the distribution = 66 inches

B.) percentage horses who are between 60 and 72 inches

Zscore = ( x - m) / s

x = 60

Zscore = (60 - 66) / 3

Zscore = - 6/3

= - 2

P(Z < - 2) = 0.0228

Zscore = ( x - m) / s

x = 72

Zscore = (72 - 66) / 3

Zscore = 6/3

= 2

P(Z < 2). = 0.9772

Between 60 and 72

0.9772 - 0.0228 = 95.44

c) In a particular year there are 25 horses running in the Melbourne Derby. How many of these would you expect to have a height of less than 63 inches?

Zscore = ( x - m) / s

x = 63

Zscore = (63 - 66) / 3

Zscore = - 3/3

= - 1

P(Z < - 1) = 0.1587

0.1587 * 25 = 3. 967 = 4

Answer:

x=24

Step-by-step explanation:

The straight line is 180 degrees so 180-35=145.

Than do 145=6x+1 and find x

144=6x

144/6=24

x=24

Answer:

x=24

Step-by-step explanation:

180-35=145

6x+1=145

6x=144

x=24

Answer:hi I believe is is Ben and Elizabeth

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

your welcome :}

Answer:

the number that repeat is number 2

Answer:

+1+2+2+4+2

Step-by-step explanation:

Answer:

(3175-4035)/(4035)= -.213 so a 21.3% decrease

Step-by-step explanation:

wish I helped good luck mate

Answer:

Raleigh.

Step-by-step explanation:

Just look for the Fahrenheit with the smallest number.

Answer:Raleigh

Step-by-step explanation:Your going to go for the smallest and I just took the quiz

Answer:

Step-by-step explanation:

If the scale showed 2 ounces for a sample of matter and 56.7grams for the same sample, then;

2 ounces = 56.7grams

If She has a rock that weighs 708.75 grams but needs to know the weight in

ounces, we can say;

x ounces = 708.75grams

Combining both equality postulates

2 ounces = 56.7grams

x ounces = 708.75grams

Cross multiply

56.7 × x = 2 × 708.75

x = (2 × 708.75)/56.7

The proportion is (2 × 708.75)/56.7

Calculate x:

x = 1417.5/56.7

x = 25

Hence the weight of the 708.75g rock in ounces is 25ounces

Answer:

Step-by-step explanation:

Given expression is,

(2x - 1)² + 2(2x - 1) = (2x - 1)(2x + 1)

To prove this identity we will take the left hand side of the equation and will prove equal to the right side.

(2x - 1)² + 2(2x - 1) = (2x - 1)(2x + 1)

4x² - 4x + 1 + 4x - 2 = (2x - 1)(2x + 1)

4x² - 1 = (2x - 1)(2x + 1)

(2x - 1)(2x + 1) = (2x - 1)(2x + 1) [Since a² - b² = (a - b)(a + b)]

Answer:c

Step-by-step explanation:

Answer:

An equation for the question above is y = 3x + 9.

Answer:You should check the proposed solution in the original equation.

Step-by-step explanation:

The radical is the symbol that is used to represent the root in the expression n√x. The correct option is C.

The radical is the symbol that is used to represent the root in the expression n√x.

You have solved a radical equation. Now, to check whether your proposed solution is​ correct You should check the proposed solution in the original equation.

Hence, the correct option is C.

Learn more about the Radical:

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Answer:

Ok the so the answer is 103.075

Step-by-step explanation:

So how you do this divided the tax rate by 100 which gives you 0.085 and then you times that by 95 and you get 8.075 which you add to 95 to get 103.075

PLEASE HEART