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lawyer [7]
3 years ago
13

Question 26: write the equation that describes the line with slope=5 and y-intercept =8 in slope intercept form.example: y=mx+b

Mathematics
1 answer:
elixir [45]3 years ago
3 0

Answer:

y = 5x + 8

Step-by-step explanation:

Start with y = mx + b:  general slope-intercept form, equation of a line:

Replace m with 5, y with 8 and x with 0 (since the y-intercept is (0, 8):

8 = 5(0) + b.  Then b must be 8, and the desired equation is

y = 5x + 8

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Simplify: square root 27x12 over 300x8
alex41 [277]

Answer:

10

-------------

3x^2

Step-by-step explanation:

First lets simplify what is inside the square root

300x8

---------------

27x12

3 * 100 x^8

------------------

3 *9 x^12

The 3's cancel  and we know a^b/ a^c = a^(b-c)

100/9 x^ (8-12)

100/9 x^-4

sqrt( 100/9 x^-4)

Put the negative exponent in the denominator and make it positive

sqrt( 100 / (9x^4) )

We know that sqrt( a / b) = sqrt(a) / sqrt( b)

sqrt(100)

----------------

sqrt( 9x^4)

10

-------------

3x^2

Read more on Brainly.com - brainly.com/question/12900964#readmore

5 0
3 years ago
A bag contains 5 blue marbles, 2 green marbles, and 3 yellow marbles. What is the probability of choosing one green marble and t
Vesna [10]

Answer:

Step-by-step explanation:

Total number of marbles = 5 + 2 + 3 = 10

Probability of choosing 1 green marble = 2/10

Probability of choosing 1 yellow marble = 3/10

Notice (and this is important) that the denominator didn't change. Why?

Because you replaced the first marble into the bag. That word replacement is critical in a problem of this nature. There is the term non replacement which means that the second draw would have a denominator of 9.

So what is the probability of P(green then yellow)?

P(green then yellow) = 3/10 * 2/10 = 6/100

Answer: P(green then yellow) = 3/50 because 6 / 100 reduces.

4 0
2 years ago
Solve for the roots in simplest form using the quadratic formula:<br> 4x2 + 4x = -5
weqwewe [10]

Answer:

Step-by-step explanation:

Move all terms to one side

4x^2 + 4x + 5 = 0

Plug into quadratic formula

x = (-4 <u>+</u> \sqrt{16 - 4(4)(5)}) / 2(4)

  = (-4 <u>+</u> \sqrt{-64})/8

At this point, there are no real answers. The roots to this equation are complex.

x = (-4 <u>+</u> 8i)/8

  = (-1 <u>+</u> 2i)/2

6 0
3 years ago
What does |-71 equal?
erastovalidia [21]

Answer:

71 (or 7.... read explanation)

Step-by-step explanation:

If you mean | -71 | then it's 71.

If you mean | -7 | then it's 7

Absolute values turn negative numbers into positive numbers.

5 0
2 years ago
Read 2 more answers
A right triangle has three sides with length 148, 140, and 48. What is the length of the hypotenuse?
Oksanka [162]
145 i think im only three

5 0
3 years ago
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