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Naily [24]
3 years ago
15

Tell whether the sequence 12, 4, -4, -12, -20, ... is arithmetic

Mathematics
2 answers:
Shkiper50 [21]3 years ago
8 0

Answer:

yes, it is arithmetic as the common difference is -8

Mashcka [7]3 years ago
3 0

Good evening

Answer:

<h2>Yes it’s an arithmetic sequence </h2>

Step-by-step explanation:

→ 4-12=-8

→ -4-4=-8

→ -12-(-4)=-8

→ -20-(-12)=-8

<u><em>As you can see the difference between any two consecutive terms is the same which prove that it’s an arithmetic sequence</em></u> .

_______________________________________

:)

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When 5x^2 + 2= 4x is written in standard form, what are the values of a, b, and c
goblinko [34]

The standard form of a quadratic equation is

ax^{2}+bx+c=0,

where a, b, and c are coefficients. You want to get the given equation into this form. You can accomplish this by putting all the non-zero values on the left side on the equation.

In this case, the given equation is

5x^{2}+2=4x

Since 4x is on the right side of the equation, we subtract that from both sides. The resulting equation is

5x^{2}-4x+2=0

Looking at the standard form equation ax^{2}+bx+c=0, we can see that

a=5, b=-4, c=0

7 0
3 years ago
What is the equation of the line passing through the point (-2, 4) and perpendicular to y = -one halfx + 4?
goldfiish [28.3K]
Recall that given the slope, m₁, of the equation of the line, we can find the slope, m₂, of the line perpendicular to it is equal to the negative reciprocal of m₁. Given that the equation is equal to y = (-1/2)x + 4, slope is equal to -1/2. The negative reciprocal of the slope would be 2. That would be m₂ = 2. Now, since the point (-2, 4) passes through this line, we can use the point-slope form of the line shown below. (y - y₁) = m(x - x₁) where (x₁, y₁) for this case is (-2, 4) and m = 2. So, we now have (y - 4) = 2(x - (-2)) y - 4 = 2x + 8 y = 2x +12 Thus, the equation of the line is y = 2x + 12. <span>Answer: 2x + 12</span>
7 0
3 years ago
Read 2 more answers
1
olga nikolaevna [1]

Answer:

Fraction of the original board left = \frac{2}{15}

Step-by-step explanation:

Let the length of the board is = l feet

Marty saws off \frac{1}{5} of a wooden board.

Length of the board left = l - (\frac{1}{5})l

                                        = (\frac{4}{5})l feet

He saws off \frac{3}{4}th of the remaining board,

Board left = (\frac{4}{5})l-[(\frac{4}{5})l\times (\frac{3}{4})]

                = \frac{4}{5}l-\frac{3}{5}l

                = \frac{1}{5}l feet

He finally saws off \frac{1}{3}rd of the remaining board.

Board left = \frac{1}{5}l-[\frac{1}{5}\times \frac{1}{3}]l

                = (\frac{1}{5}-\frac{1}{15})l

                = \frac{2}{15}l feet

Fraction of the original board left = \frac{\frac{2}{15}l}{l}

                                                       = \frac{2}{15}

6 0
3 years ago
Jalen is computing the slope of the line on the graph below.
coldgirl [10]
I think the possible answer is Jalen used an ordered pair that is not on the line
7 1
3 years ago
Read 2 more answers
When you add numbers with a common factor of 2, will the answer have a common factor of 2
zhannawk [14.2K]

Answer:

yes

Step-by-step explanation:

adding together even numbers will give an even result

6 0
3 years ago
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