A right triangle with leg lengths of 4 and 3 units has to be positioned in the
coordinate plane to write a coordinate proof. Which set of coordinates
would make the proof easier to complete?

Step-by-step explanation: The first thing you're going to probably

try to do here is to factor out a greatest common factor.

The problem is, there is no factor that is in common

to all three of these terms so you may think it's unfactorable.

However, this trinomial is in a special form.

We have an x squared term, an x term, and a constant term.

When a trinomial is in this form, it can be

factored as the product of two binomials.

So start by setting up two sets of parentheses.

Inside each set, we will have the two terms that compose each binomial.

So we have (    )(    ).

The first term is a factor of the x² term, x · x.

For the second term, we need factors of 12 that add to -7.

Since the middle term is negative, we use the negative factors of 12.

Notice that -4 and -3 add to -7 and multiply to be 12.

So our answer is (x - 4)(x - 3).

b. the graph of f(x) is a horizontal stretch of the graph of the parent function.

The True statement is

The graph of f(x) is a horizontal stretch of the graph of the parent function.

In mathematics, a function is an expression, rule, or law that establishes a relationship between an independent variable and a dependant one (the dependent variable).

We have,

f(x) = -2/3 |x+4| - 6

So, -2/3 |x+4| - 6 = 0

-2/3 |x+4| = 6

|x+4| = -9

so, the vertex is not (-4, 6).

Here the -6 in the function shows the horizontal stretch.

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Answer:

15 would be the correct answrr

Answer:

Step-by-step explanation: 12r-6+1= 12r-5

-8+12r+3= 12r-5

A and B

Answer:

Probably the easiest number to factor out is 2 since 96 is an even number. 96/2 = 48.

Step-by-step explanation:

Answer:

[tex]-15y^{4} = D(3y^{2})\\-15y^{4}/3y^{2} = -5y^{2} \\D = -5y^{2}[/tex]

Step-by-step explanation:

Answer:

12 dimes

Step-by-step explanation:

1 dollar= 4 quarters

1 dime=10 cents

3.45-1.20=2.25

2 dollars= 8 quarters

2.25-2.20=.25

1 quarter=.25

SOOOO your answer is 12 dimes

Answer: The points form a straight line.

Step-by-step explanation:

Answer:

9.94

Step-by-step explanation:

y = [tex]\frac{1}{4}[/tex] x - 9

y - 2 = - 4(x - 3)

y = - 4x + 14

- 4x + 14 = [tex]\frac{1}{4}[/tex] x - 9

16x - 56 = - x + 36

17x = 92

x = [tex]\frac{92}{17}[/tex]

y = (-4) [tex]\frac{92}{17}[/tex] + 14 = - [tex]\frac{368}{17}[/tex] + [tex]\frac{238}{17}[/tex] = - [tex]\frac{130}{17}[/tex]

(3, 2) , ( [tex]\frac{92}{17}[/tex] , - [tex]\frac{130}{17}[/tex] )

d ≈ 9.94396

Answer:

it would take the adverage of 10 weeks for her to lose 5 pounds did that help?

Step-by-step explanation:

Answer:

x = 4

Step-by-step explanation:

6x + 4 = 12x - 20

x = 4

Answer:

6

Step-by-step explanation:

move the six 2 digits to the left

Answer:

56

Step-by-step explanation:

Given that:

Number of girls = 3

Number of boys = 4

Each student makes 8 paper airplanes.

To find:

The total number of airplanes = ?

Solution:

There can be two ways to find the total number of airplanes.

Method 1:

Keep on adding the number of airplanes for each student.

There are a total of 3+4 = 7 number of students.

First student makes = 8 airplanes

Second student makes = 8 airplanes

Third student makes = 8 airplanes

Fourth student makes = 8 airplanes

Fifth student makes = 8 airplanes

Sixth student makes = 8 airplanes

Seventh student makes = 8 airplanes

Total number of airplanes = 8 + 8 + 8 + 8 + 8 + 8 + 8 = 56

Method 2:

Simply multiply number of airplanes each student makes with the number of students.

i.e. 8 [tex]\times[/tex] 7 = 56

Answer:

x=3y-4

Step-by-step explanation:

3x+8=x+6y

so the goal here is to make everything equal to x. first, let's move all the X's to one side by subtracting x on both sides.

2x+8=6y

now we want x alone on one side so we subtract 8 on both sides.

2x=6y-8

divide by 2

x=3y-4

Answer:

x = 3y - 4

Step-by-step explanation:

Given

3x + 8 = x + 6y ( subtract x from both sides )

2x + 8 = 6y ( subtract 8 from both sides )

2x = 6y - 8 ( divide all terms by 2 )

x = 3y - 4

The solution of the equation by the quadratic formula are, {±2/3, ±i}

An algebraic equation with the second degree of the variable is called an Quadratic equation.

We have to given that;

The equation is,

⇒ 9x⁴ + 5x² - 4 = 0

Now, Put x² = y in above equation, we get;

⇒ 9y² + 5y - 4 = 0

Bu using quadratic formula as;

⇒ y = - 5 ± √5² - 4×9×- 4 / 2×9

⇒ y = - 5 ± √25 + 144 / 18

⇒ y = - 5 ± √169 / 18

⇒ y = - 5 ± 13 / 18

This gives two solution,

⇒ y = - 5 + 13 / 18

⇒ y = 8/18

⇒ y = 4/9

⇒ x² = 4/9

⇒ x = ±2/3

And, y = - 5 - 13 / 18

⇒ y = - 18 / 18

⇒ y = - 1

⇒ x² = - 1

⇒ x = ±i

Thus, The solution of the equation are {±2/3, ±i}.

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Answer:

25

Step-by-step explanation:

8x-20=180

8x=200

x=25

Answer:

16

check your math

|(-3)-4|=7

-3^2=-9

7-(-9)=16

welcome <3

Answer:

8 meters

Step-by-step explanation:

This means that the shadows at this time is twice as tall as normal.

4*2=8

Luka's shadow is 8 meters tall.

Answer:

Step-by-step explanation:

Answer:

$10.5

Step-by-step explanation:

33.6/3.2(that is unit price formula total by one) which is 10.5

Hope this helps plz mark brainliest :D

Answer:

A

Step-by-step explanation:

why would i lie to you

Answer:

3x+14

Step-by-step explanation:

remove parenthses

6x+8-3x+6

3x+14

Answer:

3x+14

Step-by-step explanation:

2(3x+4)-3(x-2)

6x+8-3x+6

3x+14

Answer:

b

Step-by-step explanation:

f(x) = x³ + x² - 66x + 54

= (x² - 8x + 6)(x + 9) + 0

=> the answer is b

Answer:

b

Step-by-step explanation:

If (x + h) is a divisor of f(x) then f(- h) = remainder

If f(- h) = 0 then (x + h) is a factor of f(x)

Here divisor is (x + 9) , then

f(- 9) = (- 9)³ + (- 9)² - 66(- 9) + 54

        = - 729 + 81 + 594 + 54

        = 0

Thus remainder is 0 and (x + 9) is a factor of f(x)

Answer:

.909 (ROUNDED)

Step-by-step explanation:

In order to do this all you need to do is divide the number with the number you got this year, 1914, and with the number last year.

1914-174=1740

1740 was the amount they got last year

Now you want to find the percent difference between the two.

1740/1914=.909090 (Repeats)

So the percent increase would be

.909090

.101010

Answer:

5p+7q

Step-by-step explanation:

Answer:

5p+7q

Step-by-step explanation:

You add common terms together.

(7p-2p)+(6q+q)

5p+7q

Hope I helped!

25% of 40

=25/100×40

=0.25×40

=10 answer.

Answer:

10

Step-by-step explanation:

each taco is 1.50$ 15$ divided by 1.50$ is 10

Answer:

He can buy 10 tacos with $15.

Step-by-step explanation:

You can do a cross multiplication process. Think in this way:

If he buys 4 tacos for $6, then how many tacos can he get in $15? When you do the cross multiplication process, you'll find that he can get 10 tacos with $15.

Answer:

19.93

Step-by-step explanation:

If you do 132.89 x 85% you would get 112.9565. You would round the first five up to a six and then subtract that by the original price. 132.89-112.96. Giving you the answer of 19.93.

Answer:

14!

Step-by-step explanation:

3(2m-3)=5(m+1)

Step 1: 6m-9 = 5m + 5

Step 2 : Add 9 to -9 and 5

6m= 5m+14

Step 3: Subtract 5m from 6 and 14

Simplify!

m=14