I need help with this.

the slope is 6/-5

subtracting the y values gives you -2-(-8)=6

subtracting the x values gives you -1-4= -5

Given:-

To find :-

Solution :-

As we know that the slope is ,

[tex]\longrightarrow\sf Slope = y_2-y_1/x_2-x_1[/tex]

Substitute the values ,

[tex]\longrightarrow[/tex] Slope = -8 -(-2) / 4 -(-1)

[tex]\longrightarrow[/tex] Slope = -8 +2/4 + 1

[tex]\longrightarrow[/tex] Slope = 6/5

Hence the slope of the line is 6/5 .

Answer:

Step-by-step explanation:

The value of x if the side length of Terrarium A is four times the side length of Terrarium B is 3.6

Since we are both given the required length, we can assume the side length of Terrarium A and B and solve it in a general way.

Let;

If the side length of Terrarium A is four times the side length of Terrarium B, then;

x - 6 = 4(x + 3)

x - 6 = 4x + 12

x + 4x = 12 + 6

5x = 18

x = 3.6

Hence the value of x if the side length of Terrarium A is four times the side length of Terrarium B is 3.6

Learn more on linaer equation here: https://brainly.com/question/13738662

Answer:

Step-by-step explanation:

Question 1

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

Explanation:

The x coordinates of the points for the restrooms and fountain are -2 and 4 in that order. Add up those values and divide by 2

(-2+4)/2 = 2/2 = 1

The midpoint of -2 and 4 on the number line is the value 1. So if the restrooms and fountain were on the x axis and at -2 and 4 respectively, then the midway point is 1 on that same number line. Note: The value 1 is exactly 3 units away from -2 and 4.

We'll use this idea for the y coordinates as well. Add them up, then divide by 2.

Add: 4+(-5) = -1

Divide by two:  -1/2 = -0.5

The y coordinate of the midpoint is -0.5

Overall, the midpoint between the restrooms and fountain is the point (1, -0.5)

For more info, check out the midpoint formula.

====================================================

Question 2

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

Explanation:

We'll use the same idea as before. This time we focus on the locations of the swings and ball field only.

Add the x coordinates for each point: -5+5 = 0

Divide in half: 0/2 = 0

The x coordinate of the midpoint is 0

Repeat for the y coordinates.

Add: 5+(-4) = 1

Cut in half: 1/2 = 0.5

The y coordinate of the midpoint is 0.5

We get the midpoint (0, 0.5) which is where the two pets meet.

====================================================

Question 3

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

Explanation:

Apply the distance formula for the results of the previous two questions.

So we'll apply the midpoint formula for the points (1, -0.5) and (0, 0.5)

[tex]d = \sqrt{(x_1-x_2)^2+(y_1-y_2)^2}\\\\d = \sqrt{(1-0)^2+(-0.5-0.5)^2}\\\\d = \sqrt{(1)^2+(-1)^2}\\\\d = \sqrt{1+1}\\\\d = \sqrt{2}\\\\d \approx 1.414\\\\d \approx 1\\\\[/tex]

Answer:

-2g

Step-by-step explanation:

Distribute G to -2

In simple words multiply G and -2

Answer:

B) 13/8

Step-by-step explanation:

First we need to understand what a terminating decimal is: It is a decimal that has a finite number of decimal values that are not zero, meaning that its decimal values end at some point

Let's go through our possible answers with trial and error:

A) 8/9

8/9 = 0.888888888888...9 (Incorrect)

B) 13/8

13/8 = 1.625 (Correct)

C) 4/3

4/3 = 1.3333333333...4 (Incorrect)

D) 6/11

6/11 = 0.545454545454...54 (Incorrect

13/8 is our answer because in decimal form it is a terminating decimal.

Answer:

Step-by-step explanation:

x=0

Answer:

8

Step-by-step explanation:

18×4 = 72

And 72 ÷ 9 = 8

So 9×8 would be 72

Answer:

I'm guessing 401 tickets. lol

Number of tickets Alicia sold is equals to 401 .

" Linear equation is defined as the algebraic expression with one or more variables with highest power of the variable equals to one."

According to the question,

x represents the number of tickets Alicia sold

As per the data given,

Number of tickets Jenna and Matt sold together = 282 + 178

                                                                                 = 460 tickets

Substitute the given values in the condition we get linear equation,

   x + 59 = 460

⇒ x = 460 - 59

⇒ x = 401 tickets

Hence, number of tickets Alicia sold is equals to 401 .

Learn more about linear equation here

https://brainly.com/question/11897796

#SPJ2

Answer:

HLO Mate here is ur answer

Answer:

[tex]3x + 6y = 12[/tex]

[tex]3x + 6y - 6y = 12 - 6y[/tex]

[tex]3x = 12 - 6y[/tex]

[tex] \frac{3x}{3} = \frac{12}{3} - \frac{6y}{3} [/tex]

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

[tex] \frac{12}{3} - \frac{6y}{3} [/tex]

[tex] = \frac{12 - 6y}{3} [/tex]

[tex] = \frac{6(2 - y)}{3} [/tex]

[tex] \frac{6}{3} = 2[/tex]

[tex] = 2( - y + 2)[/tex]

[tex]x = 2( - y + 2)[/tex]

Answer:

x=2(3-y)

Step-by-step explanation:

3x+6y=12

x+2y=4

x=4-2y

=2(2-y)

Answer:

[tex]log_4(\frac{1}{64})=-3[/tex]

Step-by-step explanation:

[tex]log_b(b^x)=x[/tex]

    Looking at the equation given, we know the base (the number with the exponent) is 4, the exponent itself is -3, and the value is 1/64. Based on this information, fill in the formula and simplify any values.

[tex]log_4(4^{-3})=-3\\log_4(\frac{1}{64})=-3[/tex]

Therefore, the logarithmic form is [tex]log_4(\frac{1}{64})=-3[/tex].

Answer:

y+1=3(x+8)

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(5-(-1))/(-6-(-8))

m=(5+1)/(-6+8)

m=6/2

m=3

y-y1=m(x-x1)

y-(-1)=3(x-(-8))

y+1=3(x+8)

Answer:

Step-by-step explanation:

I dont know

Answer:

(7,10)

Step-by-step explanation:

The x coordinate is the first coordinate, it is how far you go across

X = 7

The next coordinate is the y coordinate, it is how for you go up or down

y = 10

(7,10)

Answer:

D. $105,750

Step-by-step explanation:

Use the formula I=prt,which stands for "Interest equals principal × rate × time" The clue to use that formula was the phrase "simple interest" The principal is the original amount of the loan, $150,000.

The interest rate is the 3.7% or 4.2% but you MUST change these to a decimal to use them. So we'll be using .037 and .042 for these calculations. The time part of the equation is the 15 years or the 30 years. See image.

Answer:

80

Step-by-step explanation:

3.5*2*2*2*2*5=280

Answer:

Step-by-step explanation:

Mean: 56.95

Median: 64

Mode: 65

Range: 93

15 plates = $1000 + 8(15) = $1120

75 plates = $1000 + 8(75) = $1600

150 plates = $1000 + 8(150) = $2200

Answer:

The 16 ounces at 1.76.

Step-by-step explanation:

Divide total cost by the quantity to get cost per unit.

Ounces Cost Cost/Ounce

60      5.40          0.09  

28      2.24          0.08  

16       1.76           0.11  

Answer:

15 times there will be a blue and purple flag in the same spot

Step-by-step explanation:

300 miles / 10 miles = 30 blue flags in total

300 miles / 20 miles = 15 purple flags in total

There will be at least one blue flag for every purple flag. Since there is 15 purple flags in total, there will be 15 times this can occur.

I have attatched a demonstration of my thoughts to this post.

Answer:

Here is a generic way to set up this type of algebra problem.

d = total amount of dirt at the site (tons)

r = rate or removal (tons/hr)

t = time it takes to remove all of the dirt (hr)

d = rt

The total amount of dirt equals the removal rate times hours spent removing all the dirt.

Since you want to solve for t, divide both sides by r

t = d/r

Answer:

27

Step-by-step explanation:

let th original number=x

x+108=5x

5x-x=108

4x=108

x=108/4=27

Answer:

$1,577.50

Step-by-step explanation:

25+3.4+6.1+1.4+1= 36.9%

2,500*0.369 = 922.5

2500-922.5= 1577.5

Answer:

f(3) = g(6)

Step-by-step explanation:

Answer:

3/3 is a whole so I believe it would be the whole number line