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4 years ago

write the equation of the line that is parallelto the graph of y=2/3x+7 and passes through the point (-1 -2)

Mathematics

1 answer:

aleksandrvk [35]4 years ago

5 0

Answer:

y+2 = 2/3(x+1)

y= 2/3x - 4/3

Step-by-step explanation:

If we want a line parallel to y=2/3x+7, it will have the same slope

m = 2/3

We have a point (-1,-2), so we can use point slope form

y-y1 = m(x-x1)

y--2 = 2/3(x--1)

y+2 = 2/3(x+1)

If we want the line in slope intercept form, distribute the slope

y+2 = 2/3 x +2/3

Subtract 2 from each side

y+2-2=2/3x +2/3-2

y = 2/3x +2/3 - 6/3

y= 2/3x - 4/3

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Arrange the following polynomial into descending order for x, then interpret the degree of the 2nd term.

8_murik_8 [283]

The <em><u>correct answer</u></em> is:

The order is -11x⁵y² + 7x³y³ - 3x²y + 4; and the degree is 6.

Explanation:

To order them by x, we look at the powers of x. In the original polynomial, the power of x in the first term is 3, the power of x in the second term is 0, the power of x in the third term is 5, and the power of x in the last term is 2. Arranging them, we want 5, 3, 2 and 0. This explains the order.

The second term of the ordered polynomial is 7x³y³. The degree is found by adding the exponents of the variables in the problem; this gives us 3+3 = 6.

5 0

3 years ago

What is the value of y in the sequence below<br> 2, У, 18,-54, 162

Maslowich

Answer:

Step-by-step explanation:

<em>Geometric Sequences</em>

Any given sequence is said to be geometric if each term $a_n$ can be obtained as the previous term $a_{n-1}$ by a constant value called the common ratio.

$a_n=a_{n-1}.r$

or equivalently

$a_n=a_1.r^{n-1}$

Looking closely at the sequence 2, y, 18,-54, 162 we can try to find out if it's a geometric sequence or not. We compute the possible common ratios

$\displaystyle \frac{162}{-54},\ \frac{-54}{18}$ and we see they both result -3. If we use r=-3 and try to find the second term (y), then

y=2*(-3)=-6

Now we compute the third term: (-6)(-3)=18

Since we got the third term as given in the original sequence.

So y=-6

3 0

3 years ago

⚠️NEED HELP ASPA⚠️<br> Determine whether each pair of triangles is similar. Justify your answer.

bekas [8.4K]

So the answer is A. The way to check if triangles are similar is find the ratio and make sure they are equal.
For example if you divide 42 by 27 you get 1.55
And if you do that to all the sides you also get 1.55 so therefore they are similar

7 0

3 years ago

A radical whose radicand is not a perfect power is a rational number

Daniel [21]

<span>A perfect power is a positive integer that can be expressed as an integer power of another positive integer.
More formally, n is a perfect power if there exist natural numbers m > 1, and k > 1 such that $m^k = n$ .

Sometimes, some fractional or decimal radicants are not perfect power, yet they evaluate to a terminating decimal or recalling decimal.

Example: 6.25 is not a perfect power, but $\sqrt{6.25}=2.5$ .

Therefore, </span><span>A radical whose radicand is not a perfect power is a rational number</span> SOMETIMES.

4 0

3 years ago

Read 2 more answers

-2.8f+0.4f-11-4=? <br><br><br><br> HELP

Alexxandr [17]

<h2>Answer: −2.4f − 15</h2><h2>_____________________________________</h2><h3>Honey, just simplify the expression to get your answer.</h3><h3>−2.4f − 15</h3><h2>_____________________________________</h2>

Hope you have a good day, Loves!~ <3

6 0

3 years ago