Drag each equation to show if it could be a correct first step to solving the equation
3(6 + x) = 24.

145 miles apart

hope this helps

Answer:

WHEN THE SUM of two numbers multiplies their difference --

(a + b)(a − b)

-- then the product is the difference of their squares:

(a + b)(a − b) = a2 − b2

For, the like terms will cancel.

Symmetrically, the difference of two squares can be factored:

x2 − 25 = (x + 5)(x − 5)

x2 is the square of x. 25 is the square of 5.

The sum of two squares -- a2 + b2 -- cannot be factored. See Section 2.

Example 1. Multiply (x3 + 2)(x3 − 2).

Solution. Recognize the form:

(a + b)(a − b)

The product will be the difference of two squares:

(x3 + 2)(x3 − 2) = x6 − 4.

x6 is the square of x3. 4 is the square of 2.

Upon seeing the form (a + b)(a − b), the student should not do the FOIL method. The student should recognize immediately that the product will be a2 − b2.

That is skill in algebra.

And the order of factors never matters:

(a + b)(a − b) = (a − b)(a + b) = a2 − b2.

Step-by-step explanation:

(a+b)(a-b)

use a and b in the first bracket to multiply the next bracket ; a(a-b)+b(a-b)

a square-ab+ab-bsquare

The value of polynomial p(x) when x=0 is 35.

What is a polynomial?

An expression made up of indeterminates and coefficients and utilising solely the operations of addition, subtraction, multiplication, and positive-integer powers of variables is referred to as a polynomial.

The complete question is as follows:

Suppose p(x) is a polynomial of smallest possible degree such that: bullet p(x) has rational coefficients bullet p(-3) = p(\sqrt 7) = p(1-\sqrt 6) = 0 bullet p(-1) = 8 determine the value of p(0).

Given,

p(x) is a polynomial of smallest degree where

    p(-3) = p(√7) = p( 1-√6) = 0

     p(-1) = 8

 So the factors of p are (x+3),(x-√7) and (x - 1+√6)

Given p has rational coeffecients. So we should remove √7 and √6. This can be done by multiplying with conjugates.

(x-√7)*(x+√7) = x²-7

(x-1+√6) * (x-1-√6) = (x-1)² - √6² = x²-2x+1-6 = x²-2x-5  

Now the polynomial can be written as

p(x) = c (x+3)(x²-7) (x²-2x-5 )

Here c is a constant and can be determined using p(-1) = 8

p(-1) = c ( -1+3)(-1² - 7 )(-1²-2*(-1) -5)

8 = c(2)(-6)(-2)

c = 1/3

Now the polynomial p(x) = 1/3(x+3)(x²-7) (x²-2x-5 )

Therefore p(0) = 1/3 (3) (-7)(-5) = 35

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The right angle with in 3-4-5 triangle is naturally 90 degrees. Always opposite the fourth side, at 53.13 degrees, are the other two angles: 36.87 degrees (just opposite the 3rd side).

Specialized triangles, such as 3-4-5 triangles, can be solved using the Pythagorean theorem.

Thus, this 3-4-5 right triangle is one of the most well-known Pythagorean triples. The hypotenuse, its longest side opposite its right angle, is measured at 5, while the shorter sides measure at 3 and 4.

To know more about the 3 4 5 triangle, here

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Answer:

Plot A does

Step-by-step explanation:

Answer:

probably 510, not sure but you can try!

Step-by-step explanation:

Answer:

221 bagels.

Step-by-step explanation:

170 bagels are made in 10 hours.

So, Number of bagels baked in 1 hour = [tex]\frac{170}{10}[/tex]

= 17 bagels an hour

Number of bagels in 13 hours = Number of bagels made in an hour x 13

                                                     = 17 x 13

221 bagels will be made in 13 hours.

Answer: 15 Combinations

Step-by-step explanation: 5x3=15

Answer:

-12.5

Step-by-step explanation:

Hope it helps u

FOLLOW MY ACCOUNT PLS PLS

Answer:

75

Step-by-step explanation:

Answer:

3.5

Step-by-step explanation:

In this problem, the line's constant of proportionality is the same as its slope.

Slope is defined as rise / run (also notated as change in y / change in x).

Using the given point, we can deduce that the line's rise (change in y) is 3.5, and its run (change in x) is 1. Putting these values into the slope formula:

3.5 / 1 = 3.5

So, the constant of proportionality of this line is 3.5.

Answer:

71

Step-by-step explanation:

30+10×5-45÷5= 30+50-9=71

Answer:

1.) The 1ˢᵗ three term is (-32), (-7) and 18

2.) The 1ˢᵗ three term is 127, 106 and 85

Step-by-step explanation:

Here,

First Term = a₁ = - 32

Common Difference = (d) = 25

Now, For 1ˢᵗ three term,

n = 1

a₁ = - 32

n = 2

aₙ = a + (n - 1)d

a₂ = (-32) + (2 - 1) × 25

a₂ = (-32) + 1 × 25

a₂ = (-32) + 25

a₂ = -7

n = 3

aₙ = a + (n - 1)d

a₃ = (-32) + (3 - 1) × 25

a₃ = (-32) + 2 × 25

a₃ = (-32) + 50

a₃ = 18

Thus, The 1ˢᵗ three term is (-32), (-7) and 18

Here,

First Term = a₁ = 127

Common Difference = (d) = -21

Now, For 1ˢᵗ three term,

n = 1

a₁ = 127

n = 2

aₙ = a + (n - 1)d

a₂ = 127 + (2 - 1) × (-21)

a₂ = 127 + 1 × (-21)

a₂ = 127 - 21

a₂ = 106

n = 3

aₙ = a + (n - 1)d

a₃ = 127 + (3 - 1) × (-21)

a₃ = 127 + 2 × (-21)

a₃ = 127 - 42

a₃ = 85

Thus, The 1ˢᵗ three term is 127, 106 and 85

-TheUnknownScientist

Answer:

= 6√30 or Decimal: 32.863353

When selecting four coins from a jar containing quarters, loonies, and toonies, there are a total of 27 unique combinations.

This can be calculated by using the formula for combination, which is nCr.

In this case,

n is the total number of coins in the jar (3) and

r is the number of coins selected (4).

Therefore, 3/(4(3-4)) = 3/0 = 3/1 = 3,

which is the number of possible combinations in the jar for the quarters, loonies, and toonies. When you multiply 3 by 3, you get 9, and when you multiply 9 by 3 again, you get 27.

Therefore, there are 27 unique coin combinations when selecting four coins from the jar.

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Answer:

The given statement is true because the person they did their steps correctly

a) Locate a point C so that ABC is a right triangle with m ACB ∠ = ° 90 and the measure of one of the acute angles in the triangle is 45° .

b) Locate a point D so that ABD is a right triangle with m ADB ∠ = ° 90 and

the measure of one of the acute angles in the triangle is30° .

c) Locate a point E so that ABE is a right triangle with m AEB ∠ = ° 90 and

the measure of one of the acute angles in the triangle is15° .

d) Find the distance between point C and the midpoint of segment AB .

Repeat with points D and E.

e) Suppose F is a point on the graph so that ABF is a right triangle

withm AFB ∠ =° 90 . Make a conjecture about the point F.

Answer:

To expand (2x + 5) (4x − 3) (5x - 4), you can use the distributive property and the FOIL method.

The distributive property states that for any two algebraic expressions a and b, and for any two numbers x and y, (a+b)(x+y) = ax + ay + bx + by.

The FOIL method is a way to multiply two binomials. It stands for First, Outside, Inside, Last, and it involves multiplying the first term of the first binomial by the first term of the second binomial, the first term of the first binomial by the second term of the second binomial, the second term of the first binomial by the first term of the second binomial, and the second term of the first binomial by the second term of the second binomial.

Using these methods, you can expand (2x + 5) (4x − 3) (5x - 4) as follows:

(2x + 5) (4x − 3) (5x - 4) = (2x)(4x)(5x) + (2x)(4x)(-4) + (2x)(-3)(5x) + (2x)(-3)(-4) + (5)(4x)(5x) + (5)(4x)(-4) + (5)(-3)(5x) + (5)(-3)(-4)

This can be simplified to:

= 40x³ - 32x² - 60x³ + 48x² - 20x³ + 15x² + 60x - 20x + 100x² - 20x + 12

Combining like terms, we get:

= -12x³ + 143x² + 100x + 12

So, the values of a, b, c, and d are a = -12, b = 143, c = 100, and d = 12.

Step-by-step explanation:

The best estimate for the circumference of a circle with 3 units radius is equal to 18 units. The correct option is A.

Given the radius of the circle is equal to 3 units.

The formula for the circumference of the circle is equal to

[tex]C=2*\pi *r[/tex].

By substituting the value of the radius and pi we will get:

[tex]C=2*3.14*3\\C=18.86[/tex].

Therefore the best estimate will be 18 units.

Complete question:

Which is the best estimate of the circumference of this circle?

radius = 3 units.

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Answer:

0x = -7

Step-by-step explanation:

-5x+5x = 4-9-2

0x = -7

Answer:

B

Step-by-step explanation:

Answer:

the answer is (-4,2)

hope this helps

Answer:

(-2,4)

Step-by-step explanation:

Answer:

26880=48(28)h 48(28)=1200 26880÷1200=20 h=20

Answer:

13.26cm^2

Step-by-step explanation:

Answer:

[tex]i \: think \: no \:{{b}}[/tex]

B IS YIHR ANSWER

I HOPE IT HELPS

HAVE A NICE DAY

#Captainpower

Answer:

45 degree

Step-by-step explanation:

45+45 90 +90 180

All triangles will have 180 degrees angle

answer:

5x-5

step-by-step explanation:

from the question, it can be determined that karen makes 4x-5 (x representing the amount of free throws made by kimi). since the question is asking you to find the total or sum of their free throws, you add 4x-5 and x to get the answer above. hope that helps!

Answer:

2.5

Step-by-step explanation:

Answer: 28

Step-by-step explanation:

65% of 80 is 52

80 - 52 = 28

28 people

jeez, 52 people quit? That’s a lot!

sorry if it’s wrong. Have a great day!

Answer:

the approximate of 0•3090 is 0•31

Answer: False i think

Step-by-step explanation: