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3 years ago

Use the distributive property to simplify the following problem: 9 (x +9)

Mathematics

2 answers:

Alexus [3.1K]3 years ago

7 0

Answer:

9x+81

Explanation:

9(x+9)

posledela3 years ago

3 0

Answer:9x+81

Step-by-step explanation:

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How do you solve 4x+y=10, 3x-2y=13 by elimination?

Masteriza [31]

Answer:

Step-by-step explanation:2(4x+y=10)

3x-2y=13

distribute the 2 to each number and then cancel out -2y and 2y and solve for x, then plug in x and solve for y using one of the equations

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3 years ago

What are the multiples of 4 and 6?

raketka [301]

Answer:

Step-by-step explanation:

For example, to find the common (positive) multiples of 4 and 6, we might list: Multiples of 4: 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, … Multiples of 6: 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, … The numbers 12, 24, 36, and 48 appear on both of these lists, and more would appear if the lists were longer.

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3 years ago

Read 2 more answers

What is the value of the expression below when w=5w=5? 4w+9 4w+9

mart [117]

Answer:

Step-by-step explanation:

substitute 5 where the <em>w</em> goes in the expression.

It should look like 4 • 5 + 9

Using the order of operations ( PEMDAS ) multiply 4 • 5 to get 20 and then add 9 to get 29

8 0

3 years ago

A soccer team won 11 games last year. This year they won 13 games. What was the percent increase in the number of games won?

Anna007 [38]

Answer:

18.1818181818%

Step-by-step explanation:

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3 years ago

A long-jumper lifts off 3 m after starting his run, and lands 6 m later. When he is 8 m from the start line, he is 5 cm above th

Alexeev081 [22]

Answer:

The equation of the parabola that models the path of the long jumper through the air is $y = -x^{2} +12$ × $x-27$

Step-by-step explanation:

Mathematically, we know that parabolas are second-order polynomials and every second-order polynomials, also known as quadratic functions, can be constructed by knowing three different points of the curve. The standard form of the parabola is:

$y = a$ × $x^{2} +b$ × $+ C$

Where:

x - Horizontal distance from the start line, measured in meters.

y - Height of the long jumper, measured in meters.

a,b,c - Polynomial constants, measured in $\frac{1}{m}$ , dimensionless and meters, respectively.

If we know that $(x_{1},y_{1}) = (3\,m, 0\,m), (x_{2},y_{2}) = (8\,m, 0.05\,m)$ and $(x_{3}, y_{3}) = (9\,m, 0\,m),$ this system of linear equations is presented below:

$9\cdot a + 3\cdot b + c = 0 (Eq. 1)81\cdot a + 9\cdot b + c = 0 (Eq. 2)64\cdot a + 8\cdot b + c = 0.05 (Eq. 3)$

The coefficients of the polynomial are, respectively:

$a = -\frac{1}{100}, b = \frac{3}{25}, c = -\frac{27}{100}$

The equation of the parabola that models the path of the long jumper through the air is $y' = -\frac{1}{100}\cdot x^{2}+\frac{3}{25}\cdot x -\frac{27}{100}.$

But we need y measured in centimeters, then, we use the following conversion:

$y = 100\cdot y'$

Then, we get that:

$y = -x^{2}+12\cdot x -27$

Where x and y are measured in meters and centimeters, respectively.

The equation of the parabola that models the path of the long jumper through the air is $y = -x^{2}+12\cdot x -27.$

4 0

3 years ago