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lilavasa [31]
3 years ago
9

QUESTION 1) Line M passes through the points (-4, -11) and (3, 3). Line N passes through the points (5, -2) and (-6, 9). Which o

f the following explains whether lines M and N intersect? No, lines M and N never intersect because their slopes are the same. Yes, lines M and N intersect because their slopes are different. No, lines M and N never intersect because their slopes are different. Yes, lines M and N intersect because their slopes are the same. Some one please help me
Mathematics
1 answer:
7nadin3 [17]3 years ago
4 0

Answer:

Yes, lines M and N intersect because their slopes are different.

Step-by-step explanation:

First, we can start out by finding the slope of Line M and Line N. The slope formula is (y_2 - y_1)/(x_ 2- x_1)

Slope of Line M:

(3--11) / (3--4)

(3+11) / (3+4)

14/7

2

Now we know that the slope of Line M is 2.

Slope of Line N:

(9--2) / (-6-5)

11/-11

The slope of Line N is -1!

Since the slopes of Line N and M are different, they intersect. The answer is Yes, lines M and N intersect because their slopes are different.

If the slopes were the same, Line N and M would NEVER intersect because they are parallel.

Hope this helps

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Write the equation of the graph below
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Answer:

Step-by-step explanation:

This is a parabola with a vertex at h = 4 and k = 5; the graph goes through the coordinate x = 6 and y = 6. We will use those 4 values to fill in the equation:

y=a(x-h)^2+k and this will allow us to solve for the value of a:

6=a(6-4)^2+5 and

6=a(2)^2+5 and

6 = 4a + 5 and

1 = 4a so

a=\frac{1}{4} and the equation is

y=\frac{1}{4}(x-4)^2+5

7 0
3 years ago
A science experiment calls for mixing 3 and two-thirds cups of distilled water with 1 and three-fourths cups of vinegar and Two-
Sonbull [250]

Answer: 6 and 1/12 cups

Step-by-step explanation:

For this problem, we add 3 and 2/3 + 1 and 3/4 + 2/3. We can change these mixed numbers into improper fractions to make the math easier:

11/3 + 7/4 + 2/3

Next, we can add the 11/3 and 2/3 since they have the same denominator (bottom number). This gives us 13/3.

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Now that we have two fractions, we just add them together. This leaves us with 6 and 1/2.

If you're having trouble with adding fractions with denominators that aren't the same, here are some videos (if you can't click the link, just copy and paste into the search bar):

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5 0
2 years ago
Write the equation of the line that passes through (–1, 5) and has a slope of 3 in point-slope form.
Mama L [17]

The point-slope form:

y-y_1=m(x-x_1)

We have:

(-1,\ 5)\to x_1=-1,\ y_1=5\\m=3

Substitute:

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5 0
3 years ago
1. What is the solution of n² – 49 = 0? (1 point)
maks197457 [2]

Answer:

1. n=\pm7

2. x=\pm7i[tex]3.[tex]\pm 12x =a

4. 22

Step-by-step explanation:

1. n^2 - 49 = 0

n^2 =49

n= \sqrt{49}

n=\pm7

2. x^2+64 = 0

x^2 =-64

x= \sqrt{49}

x=\pm7i[tex]3. Area of square = [tex]a^{2}

Where a is the side

We are given an area o square = 144x^{2}

So, 144x^{2}=a^{2}

\sqrt{144x^{2}}=a

\pm 12x =a

4. We are given that the solution of quadratic equation -9 and 9

So, equation becomes:

(x+9)(x-9)=0

x^2- 81=0

So, in the given equation x^2 + z = 103

z should be the number from which if we subtract 103 so we get 81

Substitute z = 22

x^2 + 22 = 103

x^2 + 22 -103=0

x^2 -81=0

Thus the value of z is 22

8 0
3 years ago
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Set up and solve a quadratic equation to work out the value of x
galben [10]
X= 24 simple calculations are there
4 0
3 years ago
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