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8090 [49]
3 years ago
9

Nter the equation of the line in slope-intercept form. Slope is 6, and (1, 3)

Mathematics
1 answer:
kupik [55]3 years ago
6 0

Answer:

The equation in the slope-intercept form will be:

y=6x-3

Step-by-step explanation:

Given

  • slope = m = 6
  • point = (1, 3)

As we know that the equation of a line in point-slope form is

y-y_1=m\left(x-x_1\right)

substituting the values m = 6 and point = (1, 3)

y-3=6\left(x-1\right)

Writing the equation in slope-intercept form

y=mx+b

where m is the slope, and b is the y-intercept

so the equation of the line in slope-intercept form becomes

y-3=6\left(x-1\right)

add 3 to both sides

y-3+3=6\left(x-1\right)+3

y=6x-3

Therefore, the equation in the slope-intercept form will be:

y=6x-3

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Which equation has roots of 3plus or minus sqare rt 2?
vichka [17]

Answer:

Option D is correct.

The equation with roots 3 plus or minus square root 2 is x² - 6x + 7

Step-by-step explanation:

The roots of the unknown equation are

3 ± √2, that is, (3 + √2) and (3 - √2)

The equation can then be reconstructed by writing these roots as the solutions of the quadratic equation

x = (3 + √2) or x = (3 - √2)

The equation is this

[x - (3 + √2)] × [x - (3 - √2)]

(x - 3 - √2) × (x - 3 + √2)

x(x - 3 + √2) - 3(x - 3 + √2) - √2(x - 3 + √2)

= x² - 3x + x√2 - 3x + 9 - 3√2 - x√2 + 3√2 - 2

Collecting like terms

= x² - 3x - 3x + x√2 - x√2 - 3√2 + 3√2 + 9 - 2

= x² - 6x + 7

Hope this Helps!!!

6 0
3 years ago
By the time shana had completed 3/8 of her first lap in a race, she had also completed 1/32 of the entire race. How many laps we
Yuri [45]
3/8 of a lap is 1/32 of the entire race.
x - the number of laps in the race

\frac{3}{8}=\frac{1}{32}x \\
\frac{3}{8} \times 32=x \\
3 \times 4=x \\
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There were 12 laps in the race.
3 0
3 years ago
Marcus drew a line from pint y to pint w
Vlad [161]
Can u give us more information please
3 0
3 years ago
A student claims that x=3 and 2+3i are the zeros of a quadratic function. Explain why this is incorrect
Mandarinka [93]

Answer:

Because it's not a quadratic function.

Step-by-step explanation:

8 0
2 years ago
A test requires that you answer first Part A and then either Part B or Part C. Part A consists of 4 true false questions, Part B
erma4kov [3.2K]

Answer:  374416

Step-by-step explanation:

Given : A test requires that you answer first Part A and then either Part B or Part C.

Part A consists of 4 true false questions, Part B consists of 6 multiple-choice questions with one correct answer out of five, and Part C consists of 5 multiple-choice questions with one correct answer out of six.

i.e. 2 ways to answer each question in Part A.

For 4 questions, Number of ways to answer Part A = 2^4

5 ways to answer each question in Part B.

For 6 questions, Number of ways to answer Part B = 5^6

6 ways to answer each question in Part C.

For 5 questions, Number of ways to answer Part C = 6^5

Now, the number of ways to  completed answer sheets are possible :_

2^4\times5^6+2^4\times6^5\\\\=2^4(5^6+6^5)\\\\=16(15625+7776)\\\\=16(23401)=374416

Hence, the number of ways to  completed answer sheets are possible = 374416

8 0
3 years ago
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