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Setler [38]
3 years ago
10

A line passes through the point (-10,5) and has a slope of -3/2. Write an equation in slope-intercept form for this line.

Mathematics
1 answer:
Mila [183]3 years ago
3 0

Answer:

\large\boxed{y=-\dfrac{3}{2}x-10}

Step-by-step explanation:

The slope-intercept form of an equation of a line:

y=mx+b

<em>m</em><em> - slope</em>

<em>b</em><em> - y-intercept</em>

<em />

We have the point (-10, 5) and the slope m = -3/2.

Substitute to the equation of a line:

5=-\dfrac{3}{2}(-10)+b

5=(3)(5)+b

5=15+b          <em>subtract 15 from both sides</em>

5-15=15-15+b

-10=b\to b=-10

Finally we have:

\large{y=-\dfrac{3}{2}x-10}

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If 5 is subtracted from the square of a number ,the result is 4 , find the number.
Levart [38]

Answer:

9 I think

Step-by-step explanation:

I added 5 plus 4 to get 9 but I'm really not sure but I hope i helped!

7 0
3 years ago
What is 6^7 in expanded form?​
Wewaii [24]

Answer:

6x6x6x6x6x6x6

Step-by-step explanation:

6^2 is 6x6

6^3 is 6x6x6

etc...

6^7 is 6x6x6x6x6x6x6

8 0
3 years ago
Read 2 more answers
Which of the following are solutions to the equation below (5x+1)^2=7?<br><br> Check all that apply.
stiv31 [10]
(5x+1)² = 7; expand: 25x² + 10x +1 = 7 or 25x² + 10x -6 = 0

Solve this quadratic for x:

x = [-b + √(b² - 4ac)]/2a and x = [-b - √(b² - 4ac)]/2a
Plug the values and you'll find :
x = (- √7 - 1)/5 (answer C)
x = (+√7 -1)/5  (answer E)

4 0
2 years ago
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How many ways are there to select a 5-card hand from a regular deck such that the hand contains at least one card from each suit
Snezhnost [94]

Answer:

There are 685464 ways of selecting the 5-card hand

Step-by-step explanation:

Since the hand has 5 cards and there should be at least 1 card for each suit, then there should be 3 suits that appear once in the hand, and one suit that apperas twice.

In order to create a possible hand, first we select the suit that will appear twice. There are 4 possibilities for this. For that suit, we select the 2 cards that appear with the respective suit. Since there are 13 cards for each suit, then we have {13 \choose 2} = 78 possibilities. Then we pick one card of all remaining 3 suits. We have 13 ways to pick a card in each case.

This gives us a total of 4*78*13³ = 685464 possibilities to select the hand.

6 0
3 years ago
Given the equation startfraction 2 x 2 over y endfraction = 4 w 2 what is the value of x? x = y w y minus 1 x = 2 y w y minus 1
Leona [35]

The value of x is 2yw + y - 1 for the given equation 2x + 2/y = 4w + 2.

According to the given question.

We have an equation

2x + 2/y = 4w + 2

Since, we have to find the value of x for the given equation

2x + 2/y = 4w + 2

Thereofore,

2x + 2/y = 4w + 2

⇒ 2(x + 1)/y = 2(2w + 1)    (taking 2 common from both the sides)

⇒ (x + 1)/y = 2w + 1

⇒ (x + 1) = y(2w + 1)         (multiplying both the sides by y)

⇒ x + 1 = 2yw + y

⇒ x = 2yw + y - 1         ( subtracting 1 both the sides)

Hence, the value of x is 2yw + y - 1 for the given equation 2x + 2/y = 4w + 2.

Find out more information about equation here:

brainly.com/question/14686792

#SPJ4

5 0
1 year ago
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