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3 years ago

Find the slope of the passing line through the points (-4,7) and (-9,4)

Mathematics

2 answers:

loris [4]3 years ago

7 0

Answer:

m = 3/5

Step-by-step explanation:

Crazy boy [7]3 years ago

7 0

Answer:

m = 3/5

Step-by-step explanation:

$\frac{7-4}{-4-(-9)} = \frac{3}{5}$

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Describe the transformations that will map triangle A to triangle B and illustrate the similarity between the two triangles. A)

wariber [46]

B) Translate 4 units down and rotate 180°

Rule for 180° = (x, y) ---- (-x, -y)

Pick one point on Triangle A. (I picked the pointiest point)

(-5, 6)

Now translate 4 units down.

You will now be on (-5, 2)

Rotate 180°

You will now have (5, -2)

And the pointiest point on Triangle B is (5, -2)

So, B is the correct answer.

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3 years ago

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kozerog [31]

Least common multiple

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3 years ago

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Calculate gcd(77, 30) by using the Euclidean algorithm. Find also integers u and v such that 49u + 30v = 1. Furthermore, find su

VladimirAG [237]

Answer:

1. gcd(77,30)=1

$77=2*30+17\\30=1*17+13\\17=1*13+4\\13=3*4+1\\4=4*1+0$

Since 1 is the last non zero remainder appearing in these equations then, 1 is the gcd of 77 and 30.

2. u=-11, v=18

Using the Euclidean Algorithm we have that

$49=1*30+19\\30=1*19+11\\19=1*11+8\\11=1*8+3\\8=2*3+2\\3=1*2+1\\2=1*2+0$

Now, we express the remainder as linear combinations of 49 and 30.

$1&=3-2\\ &=3-(8-2*3)=3-8+2*3\\&=(11-8)-8+2(11-8)=3*11-4*8\\&=3*11-4(19-11)=7*11-4*19\\&=7(30-19)-4*19=7*30-11*19\\&=7*30-11(49-30)=\\&=18*30-11*49$

Then $1=(-11)49+18*30$

3. x=18

If $30x\equiv 1\text{mod 77}$ then

$30x=k*77+1$ for some $k\in \mathbb{Z}$ .

Then, if k=7,

$30x=7*77+1=540\\x=\frac{540}{30}=18$

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3 years ago

Can anyone help me out on this not too sure on this

Paraphin [41]

Answer:

y = 0.1x - 4

Step-by-step explanation:

Given the following data;

Points on the x-axis (x1, x2) = (-3, 7)

Points on the y-axis (y1, y2) = (-7, -6)

First of all, we would find the slope;

Mathematically, slope is given by the formula;

$Slope = \frac{Change \; in \; y \; axis}{Change \; in \; x \; axis}$

$Slope, m = \frac {y_{2} - y_{1}}{x_{2} - x_{1}}$

Substituting into the equation, we have;

Slope = (-6 - (-7))/(7 - (-3))

Slope = (-6 + 7)/(7 + 3)

Slope = 1/10

Slope = 0.1

Next, we would write the equation using the formula;

y - y1 = m(x - x1)

y - (-7) = 0.1(x - (-3))

y + 7 = 0.1(x + 3)

y + 7 = 0.1x + 3

y = 0.1x + 3 - 7

y = 0.1x - 4

5 0

3 years ago

If the homogeneity of variance assumption is violated in an independent groups t test, this means _________. the populations fro

Anit [1.1K]

Answer:

the populations from which the samples were drawn have different standard deviations

Step-by-step explanation:

Given that the assumption of homogeneity of variance is the same as the assumption of the independent samples t-test which asserted that all comparison groups possess the same variance

Therefore, if the homogeneity of variance assumption is violated in an independent groups t-test, this means "the populations from which the samples were drawn have different standard deviations."

5 0

3 years ago