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GenaCL600 [577]
3 years ago
7

HEY THERE! PLEASE ANSWER THE MATH QUESTION IN THE PHOTO! THE CORRECT ANSWER WILL BE MARKED AS BRAINLIEST ,GET POINTS AND I WILL

ALSO FOLLOW YOU! THANKS! (if you can explain your answer)
xoxo

Mathematics
2 answers:
Bad White [126]3 years ago
8 0

Answer:

a) 1/10

b) 2/10

c) 8/10

kirill [66]3 years ago
3 0

Answer:

a) 1/10

b) 2/10

c) 8/10

:))

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For A (1, –1), B (–1, 3), and C (4, –1), find a possible location of a fourth point, D, so that a parallelogram is formed using
katrin [286]

The possible coordinates for the vertex D of the parallelogram could be (-4, 3)

It is given that A(1, –1), B (–1, 3), and C (4, –1) are the three vertices of the parallelogram.

Let us assume that the vertices are in the order A, C, B, and D where the coordinates of D are (a, b).

In this scenario, if we join AB and CD, they will become the diagonals of the parallelogram ABCD.

According to the properties of a parallelogram, diagonals bisect each other.

Hence, mid-point of AB = mid-point of CD

Now, according to the mid-point theorem, if mid-point of AB is given as (x,y), then,

x = (x₁ + x₂)/2 and y = (y₁ + y₂)/2

Here, for AC,

x₁ = 1, y₁ = -1

x₂ = -1, y₂ = 3

Then, x = ( 1 - 1)/2 and y = (-1 + 3)/2

(x, y) ≡ (0, 1)  ............. (1)

Since (x, y) is also the mid-point of CD, we also have,

x₁ = 4, y₁ = -1

x₂ = a, y₂ = b

Then, x = (4 + a)/2 and y = (-1 + b)/2

(x, y) ≡ ((4 + a)/2, (-1 + b)/2) ................... (2)

From (1) and (2),

(4+a)/2 = 0 and (-1+b)/2 = 1

4+a = 0 and (-1+b) = 2

a = -4 and b = 3

Hence, the fourth vertex D of the parallelogram can be possibly located at (-4, 3)

Learn more about a parallelogram here:

brainly.com/question/1563728

#SPJ1

8 0
2 years ago
Find all the factors of 45
scoundrel [369]

Answer:

So, the factors of 45 are 1, 3, 5, 9, 15 and 45.

Common Factors.

Prime Numbers.

Highest Common Factor.

Step-by-step explanation:

45 is a composite number. 45 = 1 x 45, 3 x 15, or 5 x 9. Factors of 45: 1, 3, 5, 9, 15, 45. Prime factorization: 45 = 3 x 3 x 5, which can also be written 45 = 3² x 5.

8 0
3 years ago
1. Star Inc. has Year 1 revenues of $80 million, net income of $9 million, assets of $65 million, and equity of $40 million, as
Gekata [30.6K]
90000 because it changes when 7x is inside
4 0
3 years ago
free 50 and for those who are missing out i've been giving away 50 and 100 points almost all day i'm still doing it two
Flura [38]
Thank you so much!!! :)
4 0
3 years ago
Read 2 more answers
Which of the following rational functions is graphed below?
Illusion [34]

Answer:

A. f(x) = \frac{x-1}{x\cdot (x-3)}

Step-by-step explanation:

A rational-polynomic function is a function of the form:

f(x) = \frac{p(x)}{q(x)} (1)

There are three important remarks on this kind of function:

1)  p(x) = 0 when function passes through the x-axis.

2) If q(x) = 0, then the function f(x) has a vertical asymptote.

3) The horizontal asymptote is a linear function of the form y =  \lim_{x \to \pm \infty} f(x).

In accordance with the graph, the function has two vertical asymptotes at x = 0 and x = 3, numerator becomes zero for x = 1 and horizontal asymptote is y = 0 as grade of numerator is less than grade of denominator.

Hence, we conclude that rational function is f(x) = \frac{x-1}{x\cdot (x-3)}<em>. </em>(Correct answer: A)

7 0
3 years ago
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