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SCORPION-xisa [38]
4 years ago
14

What is the slope of a line that passes through the points (61,-17) and (62,64)

Mathematics
1 answer:
4vir4ik [10]4 years ago
7 0

Answer:

m = 81

Step-by-step explanation:

Recall that slope m = rise / run.

As we go from (61,-17) to (62,64), the horizontal measurement (x) increases by 1 and the vertical measurement (y) increases by 81.

Thus, the desired slope is

        81

m = ------ = 81

          1

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What is the solution to the equation
juin [17]

<u>Answer:</u>

<em><u>x = 4, -10</u></em>

<u />

<u>Explanation:</u>

step 1 - divide both sides of the equation by two

2(x+3)^2=98\\\\(x+3)^2 = 49

step 2 - use square root of both sides

(x+3)^2 = 49

x + 3 = ± 7

step 3 - split this up into two equations to represent both positive and negative seven

x + 3 = 7

x + 3 = -7

step 4 - solve for both equations

<em>* to solve these equations, subtract three from both sides</em>

x + 3 = 7

x + 3 - 3 = 7 - 3

x = 4

x + 3 = -7

x + 3 - 3 = -7 - 3

x = -10

Therefore, the solution to the equation is <em><u>x = 4, -10</u></em>

3 0
3 years ago
Which is an equation in point-slope from for the given point and slope point (-2,4)slope:5
maks197457 [2]
<span><span>If we have a point, (x1;y1)<span> and a slope, </span>m, here's the formula we </span><span>use to find the equation of a line: y - y1 =m( x - x1); where x1 = -2 ; y1 = 4 ; m = 5.
Then, y-4 = 5(x+2);
Finally, y-4 = 5x + 10 / +4
y = 5x + 14 ;


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4 0
3 years ago
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o-na [289]
Are u at school dude do it yourself kjsnfhbagyuhfva

8 0
3 years ago
Use a direct proof to show that the product of two odd integers is odd.
yulyashka [42]

Answer:

The proof itself

Step-by-step explanation:

We can define the set of all even numbers as

E = \{ a \in \mathbb{Z} \setminus a = 2.k , k\in \mathbb{N}\}

This is, we can define all even numbers as the set of all the multiples of 2

As for the odd numbers, we can always take every even number and sum one to each one. This is

O = \{ a\in \mathbb{Z} \setminus a=2.k+1,k\in\mathbb{N}_{0}\}

Note that k\in\mathbb{N}_{0}(the set of all natural numbers adding the zero) so that for k=0 then a=1

Now, given 2 odd numbers a and b we can write each one as follows:

a = 2k+1\\b = 2l+1\\k,l \in\mathbb{N}_{0}

And then if we multiply them with each other we obtain:

a.b = (2k+1).(2l+1)\\= 4kl+2k+2l+1\\= 2(2kl+k+l) + 1\\= 2k'+1 \\where\ k'=2kl+k+l

Then we have that a.b is also an odd number as we defined them.

6 0
3 years ago
Which statement describes a ratio?
Mnenie [13.5K]

Answer:

C. For every 2 red candies in a bag, there are 3 green candies.

Step-by-step explanation:

A ratio always contains 2 figures.

5 0
3 years ago
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