Write an equation in slope-intercept form for the line with slope 4/3 and y-intercept -3. Then graph the line.

Answer:

1. r^5

2. st^2

3. qr (the two "s" cancel each other out)

4. z (the x^2's and y^2's cancel each other out)

5. m (the n^2's and o's cancel each other out)

6. x

7. z^-1

8. a (the b^2's cancel each other out)

9. d^4 f^2

Step-by-step explanation:

When exponential variables are divided, the base variable stays the same, and the exponents are subtracted. For example, for #6, x^2/x^1 (x doesn't need an exponent but for the sake of explanation is ^1). We subtract the exponents and since anything "to the power of 1" will just be the base number, for example 6^1 will still be 6.

The simplified expressions are given below.

Exponents are the method of writing numbers, especially large numbers, in terms of a base and an exponent, which is written as the power of base.

1) We have the division rule of exponents that,

xᵃ /  xᵇ = xᵃ⁻ᵇ

Using this,

r⁶ / r = r⁶⁻¹ = r⁵

2) s³t⁴ / s²t² = s³⁻² t⁴⁻² = st²

3) q³r²s / q²rs = q³⁻²r²⁻¹s¹⁻¹ = qr

s⁰ =  1, since any number raised to zero is always one.

4) x²y²z / x²y²z

Both numerator and denominator are same.

So the quotient is 1.

5) m³n²o / m²n²o

n²o gets cancelled both in the numerator and denominator.

m³n²o / m²n²o = m³⁻² = m

6) x² / x = x²⁻¹ = x

7) z⁴ / z⁵ = z⁴⁻⁵ = z⁻¹

8) a²b² / ab²

b² gets cancelled since they are same in both numerator and denominator.

a²b² / ab² = a²⁻¹ = a

9) d⁵f³ / df = d⁵⁻¹f³⁻¹ = d⁴f²

Hence the simplified form of each of the expressions is given.

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Answer:

b 321 and 322

Step-by-step explanation:

because 321.5 is between 321 and 322

Answer:

The answer would be 32

Step-by-step explanation:

equation would be: 6+2(12+1)

which then turns into 6+24+2

which equals 32

Answer:

32

Step-by-step explanation:

Since a = 3, b = 4, and c = -1

The Equation is:

= 2 × (3) + 2 × [(3) × (4) - (-1)]

= 6 + 2 × [12 - (-1)]

= 6 + 2 × (12 + 1)

= 6 + 2 × 13

= 6 + 26

= 32

If his measurement of the width of the soccer field was 63m , the width of Musi's drawing for a 63 m wide soccer field is 21 mm.

Musi's ruler represents 1 mm as 3 m on the soccer field. To find the width of his drawing for a 63 m wide soccer field, we can set up a proportion to relate the real width to the width on his drawing.

Let "x" represent the width of his drawing in millimeters.

The proportion can be set up as follows:

1 mm (on the drawing) / x mm (real width on the field) = 3 m (on the drawing) / 63 m (real width on the field)

Now, cross-multiply and solve for "x":

1 * 63 m = 3 * x mm

63 = 3x

Divide both sides by 3 to find the width of his drawing:

x = 63 / 3

x = 21

So, the width of Musi's drawing for a 63 m wide soccer field is 21 mm.

In summary, Musi used a scale of 1 mm to represent 3 m on the soccer field. Therefore, the width of his drawing for a 63 m wide soccer field is 21 mm.

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Answer:

43.57

Step-by-step explanation:

Line up the decimal points.

Add a 0 for 1.07 so the numbers have the same length.

01 . 0 7

42. 5 0

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

43.57

Answer:

1.07+42.5

=1.07+42.5

=43.57

Step-by-step explanation:

Add the numbers

Make 42.5 equal to 42.50 for better understanding when calculating

Answer:

1. corresponding

2. alternate interior

3. supplementary

4. interior

Step-by-step explanation:

1. <5 and <1 are corresponding angles because they are above each parallel line and are on the same side of the transversal.

2. <4 and <6 are alternate interior angles because they are in between the parallel lines, and are on opposite sides of the transversal.

3. <2 and <7 are supplementary angles because <2 is above the top parallel line and <7 is beneath the bottom parallel line, and they are on the same side of the transversal.

4. <3 and <6 are (consecutive) interior angles because they are in between the parallel lines, and are on the same side of the transversal.

Hope this helps you out!! Have an awesome day ;)

Answer: i think its all of them are 5

Step-by-step explanation: sorry if im wrong

Answer:

x²-14x+48

Step-by-step explanation:

Area= Length × Width

Area= x-6 × x-8

Area= (x-6)(x-8)

Area= x²-8x-6x+48

Area= x²-14x+48

Hope this helped you- have a good day bro cya)

Answer:

24-2x

Step-by-step explanation:

Answer:

The equation is written as follows:

2x-24    

Slope Formula: (y2 - y1) / (x2 - x1)

Line 1: 3

Point 1 = (-5, -8)

Point 2 = (-1, 4)

Slope = (4 - - 8) / (-1 - - 5) = (4 + 8) / (-1 + 5) = 12 / 4 = 3

Line 2: 3

Point 1 = (0, 1)

Point 2 = (2, 7)

Slope = (7 - 1) / (2 - 0) = 6 / 2 = 3

Line 3: -1/3

Point 1 = (6, -7)

Point 2 = (-6, -3)

Slope = (-3 - - 7) / (-6 - 6) = (-3 + 7) / (-12) = 4 / -12 = -1/3

Parallel lines have the same slope, while perpendicular lines have an opposite reciprocal slope.

Line 1 and Line 2 are parallel because they have the same slope.

Line 1 and Line 3 are perpendicular because they have opposite reciprocal slopes.

Line 2 and Line 3 are perpendicular because they have opposite reciprocal slope.

Hope this helps!! :)

Answer:

3

3

-1/3

Parallel

Perpendicular

Perpendicular

Step-by-step explanation:

You need to learn this for some tests where you don't get access to the internet in most cases like the ACT, SAT, normal tests, ect.

The formula for slope is y2-y1   divided by x2-x1

y2 is a point from the second pair of points, for example (-1, 4) or (2, 7).

y1 is a point from the first pair like (-5, -8), or (0, 1).

You can plug in the values for example:

4 - (-8)  / -1 - (-5)

Two negatives equals a positive in math, so

12 / 4

= 3.

The slope for line 1 is 3.

You extend this to the other two lines.

For lines to be parallel, they must have the same slope.

1 and 2 should both have a slope of 3 based on the previous algebra, so they are parallel.

Line 3 has a slope of -1/3 which makes it perpendicular to 1 and 2, because perpendicular lines have the negative reciprocals of each other.

For example, if a line has a slope of 2, the perpendicular line has a slope of -1/2 because a reciprocal is the number flipped upside down with a fraction (aka, multiplying something with 1/x where x is the original number.)

A reciprocal slope of 19348 is -1/19348.

Answer: 126.49 cm [A VERY small bedroom]

Step-by-step explanation:

The area of the square bedroom is 16 times larger than Jerry's 1000 cm^2 desk. That makes his bedroom 16000 cm^2, It is square, so each side, x, is the same: x^2 = 16000 cm^2; x = 126.49 cm.

For reference, 126.49cm is 4.14 feet.

Answer:

What is the best choice for the equation of the line of best fit shown?

b) y = -1.5x + 23

What would the value of y be for a point at x = 8?

b) 11

Did this on EDGE!

The best choice for the equation of the line shown in the graph is y = -1.5x + 23. the correct option is B.

The equation in mathematics is the relationship between the variables and the number and establishes the relationship between the two or more variables.

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

In the given graph the data is varying along the line y = -1.5x + 23. Where y is the dependent variable and x is the independent variable.

Therefore, the correct option is B.

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Answer:

it's the third one. x=47/3

Step-by-step explanation:

if needed in decimal form: 15.666

mixed number form: 15 2/3

Answer:

What do you need help on there’s nothing??

Answer:

Two hours later his brother leaves from first and maple and comes after him on a moped travelling 27 mph, His uphill speed was 8 miles per hour slower than his downhill speed.

Step-by-step explanation:

Answer:

I'm pretty sure it's C I may be wrong though

Step-by-step explanation:

Answer:

I'll answer 6 to 10 cuz that's only what I'm able to see

Step-by-step explanation:

6.

Y-Z

= {6,4,7,2,8,3} - {2,7,8,9,10}

= {6,4,3}

7.

( Y ∪ Z ) ∩ X

= ( {6,4,7,2,8,3} ∪ {2,7,8,9,10} ) ∩ {1, 2,3,5,8}

= { 2,3,4,6,7,8,9,10} ∩ {1, 2,3,5,8}

= {2,3,5,8}

8.

( X ∪ Y ) ∩  ( Y ∪ Z )

= ( {1, 2,3,5,8} ∪ {6,4,7,2,8,3} ) ∩ ( {6,4,7,2,8,3} ∪ {2,7,8,9,10} )

= {1,2,3,4,5,6,7,8} ∩ {2,3,4,6,7,8,9,10}

= {2,3,4,6,7,8}

9.

( X ∩ Z ) ∪ ( X ∩ Y )

= ( {1,2,3,5,8} ∩ {2,7,8,9,10} ) ∪ ( {1,2,3,5,8} ∩ {6,4,7,2,8,3} )

= {2,8} ∪ {3,8}

= {2,3,8}

10.

( X ∪ Y ) ∩ Z

= ( {1,2,3,5,8} ∪ {6,4,7,2,8,3} ) ∩ {2,7,8,9,10}

= {1,2,3,4,5,6,7,8} ∩ {2,7,8,9,10}

= {2,7,8}

Answer:

75 words

Step-by-step explanation:

15*5=75

each dollar is five words, so times five by fifteen to get the number of words she can use.

Answer:

5k a month

Step-by-step explanation:

Answer: A

Step-by-step explanation:

Answer:

f(x)=-6*(x+1)^2+-7

Step-by-step explanation:

This is because the vertex is at (-1|-7)

f(x)=-6*x^2+-12*x+-13

f(x)=-6*(x^2+2*x+13/6) ( Factor out )

f(x)=-6*(x^2+2*x+(1)^2+-1*(1)^2+13/6) ( Complete the square )

f(x)=-6*((x+1)^2+-1*(1)^2+13/6) ( Use the binomial formula )

f(x)=-6*((x+1)^2+1*7/6) ( simplify )

f(x)=-6*(x+1)^2+-7 ( expand )

Hope this Helps

Answer:

I graphed the answer above in the image