Use the distributive property to expand the expression below

Good evening,

Answer: (8;6)

Answer:(8,6)

Step-by-step explanation: "X" always comes first, so in the case of getting to A, you would want to count to the right eight times and six times up. If that makes sense

Answer: 12 degrees or 11 5/5 or 60/5

Step-by-step explanation:

Since the temperature is rising 2 2/5 per 1/5 of an hour we just need to multiply 2 2/5 times 5 because 5/5 would equal the whole hour. In order to multiply easier you can change 2 2/5 to an improper fraction by multiplying the whole number with the denominator and then adding the numerator. Which you should get 12/5 next change 5 to a fraction which would be 5/1. 5 times 12 is 60 and 5 times 1 is 5. You get 60/5 which if divided is 12.

For the number line you just have to find 1/5 and 2 2/5 on it and mark it.

Answer:

Step-by-step explanation:

Answer:7,065

Step-by-step explanation: 50x75x3.14 then subtract 20x75x3.14

Answer:

x=-8/3

x=-22/3

Step-by-step explanation:

Answer:

3x-5=7

Step-by-step explanation:

Answer:

1,3 and the last one

Step-by-step explanation:

Answer:the answer is 36

Step-by-step explanation:i just guessed

Answer:

\(-2\sqrt{2}-2 < a < 2\sqrt{2}-2,\;\;a\neq0\)

Step-by-step explanation:

Given quadratic equation:

\(ax^2 + (2a + 2)x + a + 3 = 0\)

To find the possible values of "a" such that the given equation has two roots and the distance between them on the number line is greater than 1, use the quadratic formula.

\(\boxed{\begin{minipage}{4 cm}\underline{Quadratic Formula}\\\\$x=\dfrac{-b \pm \sqrt{b^2-4ac}}{2a}$\\\\when $ax^2+bx+c=0$ \\\end{minipage}}\)

Comparing the coefficients:

Substitute the coefficients into the quadratic formula:

\(x=\dfrac{-(2a+2) \pm \sqrt{(2a+2)^2-4a(a + 3)}}{2a}\)

Simplify the discriminant (the part under the square root sign):

\(x=\dfrac{-(2a+2) \pm \sqrt{-4a+4}}{2a}\)

Factor out 4 from the discriminant:

\(x=\dfrac{-(2a+2) \pm \sqrt{4(-a+1)}}{2a}\)

\(\textsf{Apply the radical rule:} \quad \sqrt{ab}=\sqrt{a}\sqrt{b}\)

\(x=\dfrac{-(2a+2) \pm \sqrt{4}\sqrt{-a+1}}{2a}\)

Therefore:

\(x=\dfrac{-(2a+2) \pm 2\sqrt{-a+1}}{2a}\)

Factor out the common term 2:

\(x=\dfrac{-(a+1)\pm \sqrt{-a+1}}{a}\)

Therefore, the two solutions are:

\(x=\dfrac{-a-1+\sqrt{-a+1}}{a},\;\;x=-\dfrac{a+1+\sqrt{-a+1}}{a}\)

As both solutions have "a" as their denominator, a ≠ 0.

Note: When substituting a = 0 into the original equation, we are left with a linear equation, which only has one root. Therefore, this confirms that a ≠ 0.

Now we have found expressions for the two roots, we can set the distance between them to greater than 1:

\(\dfrac{-a-1+\sqrt{-a+1}}{a}-\left(-\dfrac{a+1+\sqrt{-a+1}}{a}\right) > \:1\)

\(\dfrac{-a-1+\sqrt{-a+1}}{a}+\dfrac{a+1+\sqrt{-a+1}}{a} > \:1\)

Simplify:

\(\begin{aligned}\dfrac{-a-1+\sqrt{-a+1}+a+1+\sqrt{-a+1}}{a}& > 1\\\\\dfrac{2\sqrt{-a+1}}{a}& > 1\\\\2\sqrt{-a+1}& > a\\\\(2\sqrt{-a+1})^2& > a^2\\\\4(-a+1)& > a^2\\\\-4a+4& > a^2\\\\a^2+4a-4& < 0\\\\(a+2)^2-8& < 0\\\\(a+2)^2& < 8\end{aligned}\)

\(\textsf{For\;\;$u^n < a$,\;\;if\;$n$\;is\;even\;then\;\;$-\sqrt[n]{a} < u < \sqrt[n]{a}|$:}\)

\(-\sqrt{8} < a+2 < \sqrt{8}\)

Therefore:

\(-\sqrt{8} -2 < a < \sqrt{8}-2\)

\(-2\sqrt{2}-2 < a < 2\sqrt{2}-2\)

So the possible values of "a" such that ax² + (2a + 2)x + a + 3 = 0 has two roots and the distance between them on the number line is greater than 1 are:

\(\large{\boxed{-2\sqrt{2}-2 < a < 2\sqrt{2}-2,\;\;a\neq0}\)

Answer:

7 o'clock

Step-by-step explanation:

Answer:

show the picture

Step-by-step explanation:

Answer: C

Step-by-step explanation: If you add both expressions together you get 3x+4 but then because it would be on both sides of the rectangle it would be times 2 of that expression so 3x+4 times two would be 6x+8

Answer:

yes

Step-by-step explanation:

Answer:

GOOGEL

Step-by-step explanation:

............................................................

Answer:

A

Step-by-step explanation:

The line starts at 24 and ends with 34. The box starts at 25 and 32. The line in the middle shows 31.

Answer:

D

Step-by-step explanation:

Product means to multiply 2 numbers and for this question its 9x4. The devided by 6 part is just divided from 6. so (9x4)/6

Hope this helped!

The given expression can be written as the product of 9 and 4 divided by 6. Option D is correct.

Given that,
To write the expression (9 x 4 ) / 6 in statement.

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,

Here,

(9 x 4) / 6
(9 x 4) consist of multiplication, imply a product of 9 and 4

and, ()/ 6 shows the division of product by 6
So,
(9 x 4) / 6 can be stated as the product of 9 and 4 divided by 6.

Thus, the given expression can be written as the product of 9 and 4 divided by 6. Option D is correct.

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Answer:

{0.3, 3, 30, 300, 3000}

Step-by-step explanation:

Here a(1) = 0.3, and

        a(2) = 3, and

         a(3) = 30, and

          a(4) = 300, and

          a(5) = 3000

The first term (given) is 0.3, and the common ratio is 10.

answer:

i believe the answer is c

good luck :) hopefully this helps

have a great day !!

well, if you can go up down and sideways, I'd say, B, F, G, and D

Answer: 4:3 because 20 divided by 5 is 4 and 15 divided by 5 is 3.

Answer: A- 9, 34, 513, 24 R1     B- 9, 74, 918, 37 R1        C- 15, 157, 1,015, 28 R2       D- 23, 480, 4302 R1, 260 R1

Step-by-step explanation: R=Remainder

Hope this helps!

Answer:

Step-by-step explanation:

given the width of rectangle

=

z

then the length is 5 times the width

⇒

length

=

5

×

z

=

5

z

The function for the points are  y = -15x - 5

From the information given, we have that;

The points are;

(1/3,0) (-2 3/4,0) and (0,-5)

Using the point-slope form of a linear equation, we have;

y - y₁ = m(x - x₁)

Such that;

Using (1/3, 0) and (0, -5), we have that the slope is;

m = (0 - (-5))/0 -1/3)

expand the bracket

= 5 / (-1/3)

= -15

Now, take any of the given points and substitute the values

Using (1/3, 0), we get;

y - 0 = -15(x - 1/3).

y = -15x - 5.

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The function for the points solved by  (1/3,0) (-2 3/4,0) and (0,-5) solved by point slope form is \(a=-15b-5\)

We have given the points:

(1/3,0) (-2 3/4,0) and (0,-5)

Using the formula of linear equation

\(a-\)\(a_{1}\)\(=x[b-b_{1}]\)                                                          

Where we will consider (1/3,0) = \(a-a_{1}\) and (0,-5) = \(b-b_{1}\)

that is 1/3 = \(a\), 0 = \(a_{1}\) and

0 = \(b\), -5 = \(b_{1}\)

\(x\) refers to the slope of line (take any variable)

Now for finding the value of \(x\),

\(x=a-a_{1}/b-b_{1}\)

inserting the values,

\(x=[0-[-5]]/[0-1/3]\\x= -15\)

Substitute the value of \(x\) in the equation

\(a-0=-15[b-1/3]\)

By simplifying the equation, we get

\(a=-15b-5\)

To know more about functions and points:

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Answer:

Step-by-step explanation:

Well the answer is 40 cause you count by 20 so if you in 20 t o times then you would get 40 percent

Answer: C - vanilla with an umbrella

Step-by-step explanation:

The answer is C. vanilla with an umbrella

Answer: .28, .16, 0, .34

Step-by-step explanation:

Answer:

Can happen, but not certain.

Step-by-step explanation:

1. you are older today than yesterday = Can happen, but not certain..

2. two hundred people can sit in a Maruti car = Can happen but not certain.

3. A tossed coin will land heads up = Can happen, but not certain

4. A die when tossed shall land up with 8 on top = Can happen, but not certain.

5. India will be the next test series = Can happen, but not certain.

6. tomorrow will be a cloudy day = Can happen, but not certain.

7. The traffic light seen will be green = Can happen, but not certain.

8 is 1/6 of 8/6 = 1 1/3

125 is 5/10 of 625/10 = 62 1/2

32 is 4/10 of 128/10 = 12 4/5