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Marianna [84]
3 years ago
12

Graph the line that represents the equation 3y = 2x + 9.

Mathematics
1 answer:
dolphi86 [110]3 years ago
7 0

Answer:

Step-by-step explanation:

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Find the equation of the straight line through (–2, 3) perpendicular<br> to 2x + y =8
Thepotemich [5.8K]

Answer:

y = \dfrac{1}{2}x + 4

Step-by-step explanation:

The equation of a line in slope-intercept form is

y = mx + b

We need to find the slope, m, and the y-intercept, b.

The line we need is perpendicular to the line 2x + y = 8.

<em>The slopes of perpendicular lines are negative reciprocals.</em>

We solve the given equation for y to find the slope of the given line.

2x + y = 8

y = -2x + 8

The given line has slope -2.

The negative reciprocal of -2 is 1/2.

Our line has slope, m = 1/2.

Now we have

y = 1/2 x + b

Now we use the given point, (-2, 3), for x and y, using x = -2, and y = 3, and we solve for b.

y = 1/2 x + b

3 = 1/2 * (-2) + b

3 = -1 + b

4 = b

b = 4

Now we have

y = 1/2 x + 4

Answer: y = \dfrac{1}{2}x + 4

8 0
3 years ago
Use the polynomial 3x^2−4x^11+4x^4−2x^10−5+^8x^8 to answer the question. 
Anit [1.1K]

Answer: 11

<u>Step-by-step explanation:</u>

3x² - 4x¹¹ + 4x⁴ - 2x¹⁰ - 5 + 8x⁸

To find the degree, look for the largest exponent.  <em>11</em>

If you put this polynomial in standard form (from largest to smallest exponent), the first term will give you the degree of the polynomial and the leading coefficient.

- 4x¹¹ - 2x¹⁰ + 8x⁸ + 4x⁴ + 3x² - 5

4 0
3 years ago
Read 2 more answers
Ghchdhdjfhfjfjfjfjfjdjdjdjf
Artyom0805 [142]

Answer:

iugyvhjbnkijogyutfvbh

Step-by-step explanation:

:D

8 0
3 years ago
Read 2 more answers
Variance is_________.
katrin [286]

Answer:

B

Step-by-step explanation:

Variance can be said to be a measure of dispersion for a random sample.

Variance = pq/n

When given the variance, we can find the standard deviation.

Standard deviation = √variance

= √pq/n

3 0
4 years ago
Please help me with these questions.
Debora [2.8K]
4. k less than 3.5, so a number k is being taken away from 3.5:
The answer is 3.5-k

5. the sum of g and h, reduced by 11, so you need a set of parentheses to write this one: (g+h)-11

6. 5 less than y, plus g, so do a combination of the strategies used in the previous two problems and you will get: (y-5)+g

7. 5 less than the sum of y and g, you are taking away 5 from the sum of two numbers, y and g, so: (y+g)-5

Hope this helps :-)
5 0
3 years ago
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