(x - 3)(2x +9) – 16x



helpp simplify the following expressions​

The graph formed by equation y= -2/3x+10 will be perpendicular to the graph by equation y=3/2x-10.

A line in the form of ax + by + d = 0 will be a linear equation and if we convert it into the form of y = mx + c where m will be the slope of that equation.

If two lines are perpendicular to each other then the product of their slope of them will be (-1).

⇒  m₁ ₓ m₂ = -1

The slope of line 2x + 3y = 10 will be -2/3

To be any line perpendicular whose slope m with the 2x + 3y = 10

⇒ -2/3 × m = -1

⇒   m = 3/2 so the slope of that line should be 3/2

Hence, line y=3/2x-10 will be perpendicular to the 2x + 3y = 10.

For further information about slope of line

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Answer:

6

Step-by-step explanation:

Answer:

I believe substitution not 100% though

Step-by-step explanation:

you sub in the 12 for the 8 the 8 for the 5 and the 5 for the 12 hope it is right

Answer: associative property

Step-by-step explanation:

In the equation the parentheses are rearranged which is the associative property.

9514 1404 393

Answer:

  x ≈ 32.4

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you of the relation between angle, adjacent side, and hypotenuse:

  Cos = Adjacent/Hypotenuse

  cos(72°) = 10/x

  x = 10/cos(72°)

  x ≈ 32.4

Given:

The function is

[tex]f(x)=-3x^2+2x-7[/tex]

To find:

The value of f(-1).

Solution:

We have,

[tex]f(x)=-3x^2+2x-7[/tex]

Putting x=-1, we get

[tex]f(-1)=-3(-1)^2+2(-1)-7[/tex]

[tex]f(-1)=-3(1)-2-7[/tex]

[tex]f(-1)=-3-9[/tex]

[tex]f(-1)=-12[/tex]

Therefore, the value of f(-1) is -12.

Answer:

21

Step-by-step explanation:

We are to divide the expression

15÷5/7

We can change the sign to a product sign and multiply 15 by reciprocal of 5/7

Reciprocal of 5/7 = 7/5

Multiply with 15

= 15 × 7/5

= 15/5 × 7

= 3 × 7

= 21

Hence the resulting value of the expression is 21

Answer:

13/30

Step-by-step explanation:

There are seventeen red and thirteen green apples in a bag. I am going to take out an apple without looking. What is the probability that the apple will be green?

The Probability that the apple that will be picked is green is calculated as:

Number of green apples/ Total number of apples

Total number of apples = 17 red apples + 13 green apples

= 30 apples

Hence:

P( Green apples) = 13/30

Answer:

A $4 profit

Step-by-step explanation:

Answer:

jalvarez06 is correct

Step-by-step explanation:

Answer:

range = 6

IQR = 3.5

Step-by-step explanation:

range is greatest - least

18-12=6

IQR is the difference between quartile 3 and quartile 1

to find IQR you would want to put the numbers in order first

12, 12, 13, 13, 14, 15, 17, 18

then find the median of that set of numbers (you don't need to find the exact number just know where it is)

12, 12, 13, 13, || 14, 15, 17, 18

so the median is between 13 and 14 (where the || is)

then we find the median on both sides of the ||

find the median of 12, 12, 13, 13 and 14, 15, 17, 18

12, 12, || 13, 13  and  14, 15, || 17, 18

the medians are 12.5 and 16

subtract 12.5 from 16 to get 3.5

the IQR is 3.5

Answer:6

Step-by-step explanation:

Answer: For every cup of flour we need 2/3 cups of sugar.

For every cup of sugar you need 3/2 cups of flour.

Step-by-step explanation:

I'd suggest getting a Texas Instruments TI-84 plus calculator or use des mos .com scientific

Answer:

A

Step-by-step explanation:

multiply 0 by 2 | 0 x 2 = 0

subtract 5 from 0 | 0 - 5 = -5

multiply 2 by 2 | 2 x 2 = 4

subtract 5 from 4 | 4 - 5 = -1

The table that represents the same linear relationship as the linear equation y = 2x - 5 is; Table A

The given equation is; y = 2x - 5

For the first table;

At x = 2, we have;

y = 2(2) - 5

y = -1

This and other values with input of x corresponds with the table.

For the second table;

At x = 2, we see that y = 1 instead of -1 and so this table is not correct.

For tables 3 and 4, we see that when we see that they both give the wrong values of y at x = 0 and so they are both wrong.

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Answer:

-14

Step-by-step explanation:

(-5)+(-2)-8-(-1)

-5-2-8+1

-7-8+1

-15+1

-14

Answer:

-14

Step-by-step explanation:

(-5)+(-2) - (+8) - (-1)

-5-2-8+1

-15+1

-14

Complete Question:

ABCD Is a rectangle that represents a park.

The lines show all the paths in the park.

The circular path is in the centre of the rectangle and has a diameter of 15m.

Calculate the shortest distance from A to C across the park,using only the lines shown.

*See attachment for the diagram showing the paths in the park.

Answer:

Shortest distance from A to C through the paths only = 102.9 m

Step-by-step explanation:

Length of park = 80 m

Width of park = 50 m

Diameter of the circular path in the center of the park = 15 m

Therefore:

Shortest distance between from A to C across the park if we're to follow only the lines showing the oaths would be = (length of diagonal AC - diameter of the circular path) + (½ of the circumference of the circular path)

✔️Use pythagorean theorem to find AC:

AC = √(80² + 50²) =  √8,900

AC = 94.3398113 ≈ 94.34 m (nearest hundredth)

✔️Diameter of circular path = 15 m

✔️½ of the circumference of the circular path = ½(πd)

d = 15 m

½ of the circumference = ½(π*15) = 23.5619449 ≈ 23.56 m (nearest hundredth)

✔️Shortest distance = (94.34 - 15) + 23.56 = 79.34 + 23.56 = 102.9 m

Answer:

Step-by-step explanation:

Answer:

156 square feet

Step-by-step explanation:

The area of Brian's rectangular garden, in square feet, can be found by using the expression 6(2x + 5y).

If x = 3 and y = 4

Substituting

6(2 × 3 + 5 ×4) square feet

6(6 + 20) square feet

Using Distributive property

6(6 + 20) square feet =( 6 × 6) + (6 × 20) square feet

6(6 + 20) square feet =(36+ 120) square feet

6(6 + 20) square feet = 156 square feet

Therefore, the area of Brian's rectangular garden, in square feet is 156 square feet

Answer:

30???????????

Step-by-step explanation:

Answer:

The answer is 3a-27

You just gotta combine like terms (hope this helps)

Answer:3a-27.

hope it helps.

Answer:

Can you write more specifically the question please

Step-by-step explanation:

Answer: y = 2/1x + 2

Step-by-step explanation:

A slope of 2 means rising 2 and run 1 on a graph. This would make x = 2/1. The + 2 allows the line to pass through (0,2) and therefore it will also pass through (-2,-2).

Answer:

$93.10

Step-by-step explanation:

First, you add the dollars 51 + 42 which equals 93

then, you add the cents 10 + 10 which equals 20

So the answer is $93.20

the lady paid $93.20 dollars for those plants

Cya friend o((>ω< ))o

The Cost of rose is $7.1 and cost of lilies is $5.2.

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

let the Cost of roses be $x and Cost of lilies be $y.

So, the system of equation is

3x + 5y= 51.10

4x + 3y = 42.10

Solving the above equation we get

12x + 20y = 204.4

12x + 9y = 126. 3

_____________

          11y = 78.1

y= 7.1

and, 3x + 5(7.1) = 51.1

3x = 15.6

x= 5.2

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Answer:

KA = 28

∠KBL = 90°

Step-by-step explanation:

KA = KB (both are radii)

KB = 28, so KA = 28

∠KBL = 90° because tangents are perpendicular to the radius

Answer:

T = 12

Step-by-step explanation:

12/6=2