Identify the slope and y-intercept of the line. Then write the equation in slope form.

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

4p ( q + r )

4pq +4pr

Hope this helps

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Answer: 12.65

Step-by-step explanation:

Ive never solved a problem like this, but this is how I would solve it. You first want to find the height of the triangle by using the Pythagorean theorem. Solve for the height by using the left triangle.

[tex](4\sqrt{2} )^2=4^2+b^2\\32=16+b^2\\16=b^2\\b=4[/tex]

b is the height, the dotted line, of both triangles. Now do the Pythagorean theorem on the right triangle to find the value of x

[tex]12^2+4^2=x^2\\144+16=x^2\\160=x^2\\x=\sqrt{160} \\x=12.649=12.65[/tex]

Answer:

8

Step-by-step explanation:

Because you need to round 0.8064516129 to the nearest tenth

Answer:

6

Step-by-step explanation:

divisible by 6, so 3, 4 and 7

The greatest number of baskets will be 6.

The largest number among all the common factors of the given numbers is known as the GCF (Greatest Common Factor) of two or more numbers. The greatest integer that may be used to divide two natural numbers x and y without producing any remainders is called their GCF.

The greatest common factor is the largest positive number which can be divided into given numbers evenly.

Given that you are filling picnic baskets. You have 18 sandwiches, 24 granola bars, and 42 apples.

The greatest common factor between the numbers 42, 18, and 24 will be 6.

42 / 6 = 7

18 / 6 = 3

24 / 6 = 4

Therefore, the greatest number of baskets will be 6.

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Answer:

93

Step-by-step explanation:

Answer:

x3 - 2x2 - 4x - 10

         x      

Step-by-step explanation:

i think

Answer:

an integer

Step-by-step explanation:

integers are whole number that includes positive number, negative numbers, and zero

Answer:

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✧･ﾟ: *✧･ﾟ:*    *:･ﾟ✧*:･ﾟ✧

❖ The number 6 is an integer

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Step-by-step explanation:

Answer:

6 is rational.

Step-by-step explanation:

6 is rational because it is classified as a natural/counting number and a whole number.

Answer:

Jacinth = 17

Naomi = 13

Step-by-step explanation:

they add up to 30 and follow the criteria

Jacinth is 17 years old, and Naomi is 13 years old as per the linear equation method.

Let's assume Naomi's age is x. According to the given information, Jacinth is 4 years older than Naomi, so Jacinth's age would be x + 4.

The sum of their ages is given as 30, so we can write the equation: x + (x + 4) = 30.

Combining like terms, we have 2x + 4 = 30.

Subtracting 4 from both sides, we get 2x = 26.

Dividing both sides by 2, we find x = 13.

Therefore, Naomi's age (x) is 13 years old.

To find Jacinth's age, we substitute the value of x into the equation for Jacinth's age: Jacinth's age = x + 4 = 13 + 4 = 17 years old.

So, Jacinth is 17 years old, and Naomi is 13 years old.

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Answer:

range { -4,-3,-2,0}

Step-by-step explanation:

The range is the output values

range { -4,-3,-2,0}

Answer:

2.23606797749979

Midpoint

(2,−4.5)

Slope

0.5

x intercept

11.00

y intercept

−5.50

Step-by-step explanation:

d = √  ((X2-X1)2+(Y2-Y1)2)

d = √ (1-3)2+(-5--4)2

d = √ ((-2)2+(-1)2)

d = √ (4+1)

d = √ 5

The distance between the points is 2.23606797749979

The midpoint of two points is given by the formula

Midpoint= ((X1+X2)/2,(Y1+Y2)/2)

Find the x value of the midpoint

Xm=(X1+X2)/2

Xm=(3+1)/2=2

Find the Y value of the midpoint

Ym=(Y1+Y2)/2

Ym=(-4+-5)/2=-4.5

The midpoint is: (2,-4.5)

Graphing the two points, midpoint and distance

P1 (3,-4)

P2 (1,-5)

Midpoint (2,-4.5)

The length of the black line is the distance between the points (2.23606797749979)

Find the slope of the line connecting the two points

Slope =  (Y2-Y1)  =  (-5--4)  =  (-1)  = 0.5

(X2-X1) (1-3) (-2)

Find the equation of the line passing through the two points

The general equation for a straight line is

y = mx + b

Where m represents the slope of the line which we found in the previous step to be 0.5

y = 0.50x + b

We substitute x and y for the values from one of our points (3,-4)

-4 = .50×3 + b

-4 = 1.50 + b

-4-1.50 = b

-5.50 = b

Knowing both b and m, we can contruct the equation of the line

y= 0.50x-5.50

X and Y intercepts

The x-intercept is a point on the graph where y is zero

Using the equation we found in the previous step and substituting zero for y

y= 0.50x-5.50

0= 0.50x-5.50

-0.50x= -5.50

x= -5.50/-0.50 = 11.00

The x intercept for this straight line is 11.00

The y-intercept is a point on the graph where x is zero

Using the equation we found in the previous step and substituting zero for x

y= 0.50×0-5.50

y= -5.50

The y intercept for this straight line is -5.50

Step-by-step explanation:

I Hope it helps you . Hope it will

Answer:X=28

Step-by-step explanation:

first you combine the like terms wich are x and 5x also -6 and 18

second your equation will be 6x+12=180

Third you subtract 12 from each side

4th you divide each side by 6 to simplify the x

5th your anwse would be x =28

Answer:

a(b + c) = ab + ac demonstrates the distributive property ⇒ C

Step-by-step explanation:

The distributive property is the product of a number by the sum of the other two numbers equal to the sum of the product of the number with each of the other two numbers.

Example: x(y + z) = xy + xz

Let us check the choices to find which of them demonstrates the distributive property

∵ a + b = b + a

→ Adding a and b equals to adding b and a,

∴ It demonstrates the commutative property

∵ (a + b) + c = a + (b + c)

→ Adding the sum of a and b to c equals to adding c to the sum of a and b

∴ It demonstrates the associative property

∵ a(b + c) = ab + ac

→ Multiplying a by the sum of b and c equals the sum of the products

  of a, b and a, c

∴ It demonstrates the distributive property

∵ a + 0 = a

→ The additive identity is zero

∴ It demonstrates the additive identity property

∴ a(b + c) = ab + ac demonstrates the distributive property

Answer:

0.8 or 4/5

Step-by-step explanation:

[tex]\large\color{lime}\boxed{\colorbox{black}{Answer : - }}[/tex]

[tex]8 \times \frac{ 1 }{ 10 }[/tex]

[tex]Multiply \: 8 \: and \: \frac{1}{10} \: to \: get \: \frac{8}{10}.[/tex]

[tex]\frac{8}{10} [/tex]

[tex]Reduce \: the \: fraction \: \frac{8}{10} \: to \: lowest \\ \: terms \: by \: extracting \: and \: \\ canceling \: out \: 2.[/tex]

[tex]\frac{4}{5} [/tex]

[tex] \color{blue}\frac{2 ^ {2}}{5} = 0.8[/tex]

Answer:

e) 9, 15, 21

Step-by-step explanation:

First you multiply each number in the ratio by x and set it equal to the perimeter or 45 in this case.

3x + 5x + 7x = 45

Then you add the like terms and get

15x = 45

Solve for x

x = 3

Now multiply 3 by each number

3•3= 9

3•5= 15

3•7= 21

Answer: 9, 15, 21

Answer:

the answer is 3 1/2 hours

Explanation: Just add all the fractions and numbers and subtract that by 9 1/4

Answer:

f-1(x)=x-4

f-1(4)=0

Step-by-step explanation:

to get an inverse function, replace x with y, and y with x.

y=x+4  ---> x=y+4

solve for y: x=y+4 --> y=x-4 --> f-1(x)=x-4

f-1(4)=(4)-4=0

Answer:

y=-3.6+3x

Step-by-step explanation:

The answer fam is...........B) x= -3 1/9

Answer:

y=6/4x-3

Step-by-step explanation:

First, you isolate the y, by subtracting 6x from each side. Then, you divide by -4 on both sides to isolate it to an individual y.

Answer:

Slope = 6/4 or 1 1/2

Step-by-step explanation:

Step 1:

6x - 4y = 12       Equation

Step 2:

y = mx + b       Slope Intercept Form

Step 3:

- 4y = - 6x + 12      Subtract 6x on both sides

Step 4:

y = 6/4x + 12        Divide 4 on both sides

Answer:

Slope = 6/4 or 1 1/2

Hope This Helps :)

Answer:

1847 - 24% decrease

1848 - 68.42% increase

Hope this helps.

Answer:

b) x = 24

Step-by-step explanation:

if y is 24 and x is 16, they make the fraction [tex]\frac{24}{16}[/tex]

this can be simplified to [tex]\frac{3}{2}[/tex] if you divide both sides of the fraction by 8.

36/3 is 12, and 12 * 2 = 24.

so, x = 24

Answer:

x=24 or B is the correct answer.

I took the test, and this was the correct answer. Hope this helped-!

Answer: B and C only

Step-by-step explanation:

The temperature on a cold day starts at 0 degrees Celsius, falls 4 degrees, and rises 4 degrees

Initial temperature = 0

Temperature rise = 4

Fall in temperature = - 4

(Initial temperature + rise in temperature + fall in temperature)

Summing all : (0 + 4 - 4) = 0

carbon atom has 6 negatively charged electrons and 6 positively charged protons.

Net charge of atom :

(number of proton + number of electrons)

( 6 + (-6)) = 0

Answer:

1680

Step-by-step explanation:

1500÷100=15

15x12 months =180

1500+180=1680