Where it says “Exercises.”
Is number 1 = 90 ?

Answer:

slope = - [tex]\frac{6}{5}[/tex]

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 3, 8) and (x₂, y₂ ) = (- 9, 3)

m = [tex]\frac{3-8}{-9+3}[/tex] = [tex]\frac{-5}{-6}[/tex] = [tex]\frac{5}{6}[/tex]

Given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{\frac{5}{6} }[/tex] = - [tex]\frac{6}{5}[/tex]

Answer:

15

Step-by-step explanation:

Because 15 -3 will give you 12

Answer:

the y intercept is -4 or (0,4)

Step-by-step explanation:

To find the y intercept you have to make x zero, and vice versa. So:

0-3y = 12

-3y = 12

y = 12/-3

y = -4

the y intercept is -4 or (0,4)

Answer:

what

Step-by-step explanation:

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To find the x-intercept ;

Just need to put 0((zero)) instead of y in the equation.

Let's do it....

3x - 7y = 21

3x - 7(0) = 21

3x - 0 = 21

3x = 21

Divided sides by 3

3 / 3 × x = 21 / 3

x = 7

Thus the x-intercept is 7 .

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To find the y-intercept ;

Just need to put 0((zero)) instead of x in the equation.

Let's do it....

3x - 7y = 21

3(0) - 7y = 21

0 - 7y = 21

-7y = 21

Divided sides by -7

-7 / -7 × y = 21 / -7

y = - 3

Thus the y-intercept is -3.

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

Answer:

6 to 16

Step-by-step explanation:

There are a lot of equivalent equations but you can't simplify 3 to 8.

Answer:

If you were to multiply both by 2 you would get a new ratio: 6 to 16

Step-by-step explanation:

As long as you multiply both 3 and 8 by the same number you will get a ratio that is equal to 3:8

Hope this helps!

Answer:

y = -2x

Step-by-step explanation:

The equation of a line in point slope form is

y-y1 = m(x-x1)

Where m is the slope and (x1,y1) is a point on the line

y - 6 = -2(x- -3)

y - 6 = -2(x+3)

Distribute

y-6 = -2x-6

Add 6 to each side

y-6+6 = -2x-6+6

y = -2x

Answer:

Step-by-step explanation:

y - 6 = -2(x + 3)

y - 6 = -2x - 6

y = -2x

Answer:

angle 8 and angle 5

Step-by-step explanation:

Answer: a. The balance in the account will not be affected until the police car is received

Step-by-step explanation:

The options are:

a)The balance in the account will not be affected until the police car is received.

b)The balance in the account will be increased.

c)The balance in the account will be decreased.

d)Purchase orders never affect any budgetary account balances.

Unencumbered balance is typically used in governmental accounting and it refers to part of an appropriation not spent yet. In governmental accounting, this is the part of the funds available that's left and hasn't been used yet.

Based on the information given, the effect that this will event will have on the unencumbered balance in the account will be that the balance in the account will not be affected until the police car is received.

Answer: It would be the first option. 15√​6

​

Step-by-step explanation:

5√3 = 5x3=15

√18= √9x2

√9=3

√3x2= √6

15√6

Answer:

the decimal number is 19

Answer:

Step-by-step explanation:

3.8/0.2 = 19.0

Answer:

15

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

When you are adding the absolute values of numbers the sign doesn't matter. So in this case the absolute value of 8 is 8. It is 8 units away from 0. The absolute value of -7 is 7, meaning it is 7 units away from 0. With this in mind you can add both of these numbers together as if they were positive. So 7+8

Answer:

1 1/8-4/8= 3/8

Step-by-step explanation:

Make sure they all have the same common denominator (24). Then pick out the smallest number and largest number,, and subtract.

9514 1404 393

Answer:

  E.  40 and 33

Step-by-step explanation:

The Pythagorean theorem tells you the sum of the areas of the smaller squares will match the area of the largest square.

The answer choices have sums of ...

  A: 76; B: 73; C: 96; D: 66; E: 73

So, choices with the correct sum are B and E.

If this question asks you to "choose all that apply," then B & E will be your answer choices.

__

We note that the areas of the smaller squares appear to be not much different in size. If their areas were 23 and 50, the smaller square would be less than half the size of the larger one. So, if the figure is drawn approximately to scale, the choice of 40 and 33 is a better choice.

Answer:

y= 45x + 60 if you are just doing the hotel cost. y= 45x + 235 package one and y= 45x + 310 package two if you are including the cost of the travel packages.

Answer:

the solution for x is -5.

Step-by-step explanation:

more of the quest pls....and more important is the brainliest

Answer:

where is the diagram

Step-by-step explanation:

Answer:

?

Step-by-step explanation:

Answer:

I think that the answer should be 920

Step-by-step explanation:

I think that an integer is a whole number so I rounded to the nearest 10th.

So that's why I think that the answer should be 920.    

Correct me If I'm wrong

Hope I Helped

Answer:

An inconsistent system doesn't have a solution.

Answer:

occurs when the polynomial in the numerator is a higher degree than the polynomial in the denominator

Step-by-step explanation:

Answer:

NOT

Step-by-step explanation:

Rational.

Round it...

-0.25

Turn it into a fraction...

-25/100.

It can be a fraction. Thus, it is rational.

Answer:

The speed at which Carol needs to drive to meet Irvin at Bananatown at exactly the same time is approximately 47.188 miles per hour

Step-by-step explanation:

The given information are;

The location of Bananatown from Appletown = 143 miles east and 45 miles north

The location of Coconutville from Appletown = 98 miles east and 32 miles south

Taking Appletown as the origin, we have;

The slope, gradient of highway 42 = 45/143

The equation of a line representing highway 42 is given as follows;

y - 0 = 45/143 × (x - 0)

y = 45/143·x

Therefore, at Coconutville, where x = 98, we have, y = 45/143 × 98 ≈ 30.84 miles north

Total distance north Carol has to drive to get to highway 42 = 32 + 30.84 = 62.84 miles

Total distance along highway 42 Carol will drive to get to Bananatown = √((143 - 98)² + (45 - 30.84)²) ≈ 47.175 miles

Total distance Carol drives to Bananatown = 47.175 miles + 62.84 miles ≈ 110.015 miles

The total distance Irvin needs to drive to arrive at Bananatown = √(143² + 45²) ≈ 149.91

The total distance Irvin needs to drive to arrive at Bananatown ≈ 149.91  miles

The time it takes Irvin to arrive at Bananatown = (149.91 miles)/(45 mph) ≈  3.33 hours

The time he arrives at Bananatown = 8 a.m. + 3.33 hours ≈ 11.33 a.m.

The time available for Carol to meet Irvin at Bananatown at exactly the same time = 11.33 a.m. - 9 a.m. = 2.33 hours

Therefore, the speed at which Carol needs to drive = (110.015 miles)/2.33 hour ≈ 47.188 miles per hour

The speed at which Carol needs to drive to meet Irvin at Bananatown at exactly the same time ≈ 47.188 miles per hour.

Answer:

x= 4/3

Step-by-step explanation:

Answer:

Hope it helps

Step-by-step explanation:

So you want to get x by itself.

x3= [tex]\frac{64}{27}[/tex]

You could simplify

x3=2.37037037037

Then just divide 3 on both sides

x=0.79012345679

Or you can divide a fraction by a whole number and just divide the numerator and the denominator by 3.

x= [tex]\frac{21.3}{9}[/tex] or just 2.36666666667.

Option D is the correct answer

Answer: 12 (D)

Step-by-step explanation:

Hey there! If you have any questions, feel free to them in the comments below.

Step 1: Use this rule [tex]a / \frac{b}{c} = a * \frac{c}{b}.[/tex]

2 * 6

Step 2: Simplify.

12

~I hope this helped you! :)~

Answer:

Step-by-step explanation:

here you go mate

step 1

2 ÷ 1/6  equation

step 2

(2)(6)  multiply the two numbers

answer

12

Answer:

122°

Step-by-step explanation:

180-58=122

you minus angle BCA from 180 is because a straight line is 180 degrees

Answer:it would probably be 180 because it is a straight line

Step-by-step explanation:

Answer:

Option B

m<1 + m<2 = 180-m<3

Explanation:

This is how you will find the third interior angle of a triangle when two angles are already given.

Answer:

Step-by-step explanation:

Use the slope formula:

[tex]m = \frac{y2 -y1}{x2 - x1}[/tex]

where m = slope

(-5, 0) -> means x1 = -5. y1 = 0

(7, 8) -> means x2 = 7 , y2 = 8

Substitute these values into the slope formula above and you get:

[tex]m = \frac{y2 -y1}{x2 - x1} = \frac{8-0}{7- (-5)} = \frac{8}{7+5} = \frac{8}{12} = \frac{2}{3}[/tex]

The slope of the line that passes through the points (-5,0) and (7,8) is 2/3

The formula for calculating the slope of a line is expressed as:

[tex]m = \frac{y_2-y_1}{x_2-x_1} \\m=\frac{8-0}{7-(-5)} \\m=\frac{8}{7+5}\\m=\frac{8}12} \\m= \frac{2}{3}\\[/tex]

Hence the slope of the line that passes through the points (-5,0) and (7,8) is 2/3

Learn more here: https://brainly.com/question/12922257