Look at this graph

What is the slope?

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Worth 18pts!!

Answer:

Option C is the correct answer.

Step-by-step explanation:

Let's take 1 point from each graph and make sure that they have the same "x" coordinate. We are going to notice that it does not matter what 2 points with he same "x" coordinate we are going to choose the "y" value of the the point located on the red graph will always be greater by 1. That means that if black graph has the equation (y = f(x)), the red graph is going to have and equation that looks like (y = f(x) + 1). Now we get the following......

y = f(x) + 1

y - 1 = f(x) + 1 - 1

y - 1 = f(x)

So the answer is the option c.

Answer:

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Answer: The answer is ASA

I hope this helps!

Answer:

It is said that g is increasing when the slope is positive.

Answer:

105 kg per bag

Step-by-step explanation:

...... ....................

Answer:

x = 10

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define Equation

72 = 5x + 22

Step 2: Solve for x

Step 3: Check

Plug in x into the original equation to verify it's a solution.

Here we see that 72 does indeed equal 72.

∴ x = 10 is the solution to the equation.

Answer:

5/12

Step-by-step explanation:

The pitch of the roof is 5/12.

Option H is the correct answer.

Pythagorean theorem states that for a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

We can apply this theorem only in a right triangle.

Example:

The hypotenuse side of a triangle with the two sides as 4 cm and 3 cm.

Hypotenuse side = √(4² + 3²) = √(16 + 9) = √25 = 5 cm

We have,

We know that the pitch of a roof is defined as the ratio of the vertical rise to the horizontal distance, and is typically expressed as a fraction.

In this case, we are given that the roof is 13 feet long, with 5 feet of vertical rise and x feet of horizontal distance.

Therefore,

The pitch of the roof.

Pitch = vertical rise / horizontal distance

Pitch = 5 / x

We don't know the value of x, but we can use the fact that the roof is 13 feet long to solve it.

Since the horizontal distance and vertical rise form the legs of a right triangle, we can use the Pythagorean theorem to find the value of x.

x² + 5² = 13²

x² + 25 = 169

x² = 144

x = 12

Now,

Pitch = 5 / x

         = 5 / 12

Therefore,

The pitch of the roof is 5/12.

Learn more about the Pythagorean theorem here:

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Answer: y = 5/2 x + 8

Step-by-step explanation:

Find m using two points (-2,3) and (0,8) = 8-(3) / 0- (-2) = 5/2

y = 5/2 x + b

8 = 5/2 (0) + b

8 = b

y = 5/2 x + 8

Answer: Yes, the point (3,4) is a solution to the system.

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

Proof of this:

Replace x with 3 and y with 4 in the first equation

x+y = 7

3+4 = 7

7 = 7

This confirms the first equation. Repeat for the second equation

x-2y = -5

3-2(4) = -5

3 - 8 = -5

-5 = -5

We get true equations for both when we plug in (x,y) = (3,4). This confirms it is a valid solution to the system of equations. It turns out it's the only solution to this system of equations. Visually, the two lines cross at the single location (3,4).

Answer:

[tex]y = x + 2[/tex]

Step-by-step explanation:

Given

The attached graph

Required

Determine the equation

First, pick any 2 corresponding coordinates

[tex](x_1,y_1) = (0,2)[/tex]

[tex](x_2,y_2) = (6,8)[/tex]

Next, calculate the slope (m)

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex]m = \frac{8-2}{6-0}[/tex]

[tex]m = \frac{6}{6}[/tex]

[tex]m =1[/tex]

The equation is calculated as:

[tex]y - y_1 = m(x - x_1)[/tex]

Where:

[tex](x_1,y_1) = (0,2)[/tex] and [tex]m =1[/tex]

[tex]y - 2 = 1(x - 0)[/tex]

[tex]y - 2 = (x - 0)[/tex]

[tex]y - 2 = x[/tex]

Make y the subject

[tex]y = x + 2[/tex]

Answer:

800 birds

Step-by-step explanation:

1/4 of the birds = 200

200 x 4 = 800

Answer:

800

Step-by-step explanation:

1/4 of 800 is 200

you can solve this by multiplying 200 by 4. to under stand this concept just multiply the population by the reciprocal

Answer:

The correct answer would be 4.11

Answer:

No :)

Step-by-step explanation:

the .2 is added to 16 so it's.2 bigger

Answer:

No.

Step-by-step explanation:

Because 16 is 16.00, while 16.2 is 16.02.

16.2 is .02 more than 16.

Answer:

It's D. A line of credit backed by collateral.

Step-by-step explanation:

Just took the test and got it right.

the secure line of credit is:

D)A line of credit backed by collateral.

Collateral is an item of value pledged to secure a loan. Collateral reduces the risk for lenders. If a borrower defaults on the loan, the lender can seize the collateral and sell it to recoup its losses. Mortgages and car loans are two types of collateralized loans.

A revolving loan that can be utilized for any purpose is known as a line of credit (LOC). Up to a maximum amount determined by the lender, the borrower may draw from the line of credit at any moment, pay it back, and then borrow again.

There are substantial variations between secured and unsecured lines of credit, including the interest rate that the borrower must pay.

Therefore, the secure line of credit is:

D)A line of credit backed by collateral.

Learn more about collateral here:

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Answer: 2w + 4 = 35

Step-by-step explanation:

Carl's two checked bags and his one backpack together weigh 35kg.

Carl's two checked bags have equal weight so both their weight can be denoted as 2w.

Equation is;

2w + 4 = 35

If you were to solve;

2w + 4 = 35

2w = 35 - 4

w = 31/2

w = 15.5kg

Answer: 5¹⁵/₁₆

Step-by-step explanation:

The Wildflower Trail is currently 2³/₈ miles long.

If the city will extend it by 2¹/₂ in 5 years, the length in five years will be;

= 2³/₈ * 2¹/₂

= 19/8 * 5/2

= 95/16

= 5¹⁵/₁₆

Answer: C

Step-by-step explanation:

Answer:

-1

Step-by-step explanation:

Answer:

Slope = difference in y / difference in x

slope = 0 - 2 / 2 -0

slope = -2 / 2

slope -1

Step-by-step explanation:

Answer:

There are 6 mini cars and 12 tricycles.

Step-by-step explanation:

In the playground, there is a driving learning area that has mini cars and tricycles. If there are 18 vehicles and 64 tires in all, how many miniature cars and how many tricycles are there?

Given that there are a total of 18 vehicles in the driving learning area.

Let there are x number of the mini car,

so, the number of tricycles = 18-x

As one car has 4 tires, so the total number of car tires = 4x

As one tricycle has 3 tires, so the total number of tricycle tires = 3(18-x)

Given that the total number of tires is 60, so

4x+3(18-x) =60

4x+54-3x=60A

x=60-54=6

So, the total number of mini cars= 6

and the total number of tricycles = 18-6=12

Hence, there are 6 mini cars and 12 tricycles.

Answer:

Answer is 12 isnt it

Step-by-step explanation:

12×4=48

48+9=57

Given:

[tex]3(4^x)=5^(x+1)[/tex]

To find:

The solution of the given equation.

Solution:

We have,

[tex]3(4^x)=5^(x+1)[/tex]

It can be written as

[tex]3((2^2)^x)=5^(x+1)[/tex]

[tex]3((2^{2x})=5^(x+1)[/tex]      [tex][\because (a^m)^n=a^{mn}][/tex]

Taking log on both sides.

[tex]\log [3((2^{2x})]=\log 5^(x+1)[/tex]

[tex]\log 3+ \log ((2^{2x})=\log 5^(x+1)[/tex]        [tex][\because \log (ab)=\log a+\log b][/tex]

[tex]\log 3+ 2x\log 2=(x+1)\log 5[/tex]      [tex][\because \log x^n=n\log x][/tex]

Putting values of logarithms, we get

[tex]0.477+ 2x(0.301)=(x+1)0.699[/tex]      [tex][\because \log 2 =0.301, \log 3=0.477, \log 5=0.699][/tex]

[tex]0.477+ 0.602x=0.699x+0.699[/tex]

[tex]0.602x-0.699x=0.699-0.477[/tex]

[tex]-0.097x=0.222[/tex]

Divide both sides by -0.097.

[tex]x=\dfrac{0.222}{-0.097}[/tex]

[tex]x=-2.288656[/tex]

[tex]x\approx -2.289[/tex]

Therefore, the value of x is -2.289.

Answer:

−1.9d + 4.6h − 18

Explanation:

8h − 6.9d − 18 + 5d − 3.4h

= 8h + −6.9d + −18 + 5d + −3.4h

[ Combine Like Terms ]

= 8h + −6.9d + −18 + 5d + −3.4h

= (−6.9d + 5d) + (8h + −3.4h) + (−18)

= −1.9d + 4.6h + −18

- PNW

Answer:

Step-by-step explanation:

here is what I think logically is going on.. and does this happen to be some kind of computer sciency class question?  b/c this seems like a primer for Boolean logic.. ask your teacher that question  :D  .. see if he knows :P anyway.. soooo  by subtracting 4 reds.....

R R B B B  our starting chips ( the letters represents the the chips below)

OOOOO    subtracting one red changes the next black to a red.. I think

R R R B B   (-1)

OOOOO subtract one more red changes the next black to a red

R R R R B   (-2)

OOOOO  subtract one more red

R R R R R  (-3)

OOOOO subtract one more and they all fip ..

B B B B B (-4)

OOOOO

This is a bit like a binary counter.. :/ why are you learning this :D

Answer:

4.5 units

Step-by-step explanation:

To get the distance we need the coordinates of the points

A is ( 3,1)

B is (-1,-1)

Let A be (x1,y1) and B be (x2,y2)

So applying the formula, we have the distance as;

D = √(-1-3)^2 + (-1-1)^2

D = √(16 + 4)

D = √20

D = 4.5 units

Answer:

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

Step-by-step explanation:

(2) rearrange

x=-2+6y

-4(-2+6y)+5y=27

8-24y+5y=27

8-19y=27

-19y=19

y=-1

x=-2+6(-1)

x=-2-6

x=-8

Hope this helps :)

Answer:

49-9i²

Step-by-step explanation:

(7+3i)(7-3i)

expand the brackets

49-21i +21i -9i²

49-9i²

Answer:

The answer is 3500

Step-by-step explanation:

All you have to do is get 175% of 2000. This is 3,500.

Answer:

Third choice, 3/20

Step-by-step explanation:

Add all the numbers on the right side of the chart together:

16 + 12 + 22 + 15 + 26 + 9 = 100

So they're rolled the dice 100 times, and of that, they got a 4 fifteen times. So it's 15/100, simplify that equation and it's 3/20

Simplifying an equation means making an equation have smaller numbers if possible. For this question 15 and 100 can both be divided by 5, it is also the biggest number they can both be divided by, so u divide both by 5 and it's 3 and 20, making it 3/20