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2 years ago

Help pleaseeeeeeeeeee

Mathematics

1 answer:

vova2212 [387]2 years ago

6 0

Answer:

B & C

Step-by-step explanation:

The two binomials are equal to zero to find the roots.

Hope this helps

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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

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2 years ago

An equallon for the depreciation of car is given by y = A * (1 - t) ^ t where y = current value of the car, A = original cost, r

Norma-Jean [14]

Answer: 3 years

Step-by-step explanation:

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3 years ago

(1) Calculate the circumference of the<br>circles below in terms of π

Mademuasel [1]

Answer:12.57

Step-by-step explanation:

C=2πr

=2·π·2

=12.56637

3 0

3 years ago

Read 2 more answers

Find the gradient of the line joining (-1,9) and (3,5)

givi [52]

$\rule{300}{1}\\\dashrightarrow\large\blue\textsf{\textbf{\underline{Given question:-}}}$

<em>Find the gradient of the line joining (-1,9) and (3,5)</em>

<em /> $\dashrightarrow\large\blue\textsf{\textbf{\underline{Answer and how to solve:-}}}$

Use the slope formula:-

$\boxed{\frac{y_2-y_1}{x_2-x_1}}$

Replace the letters with the numbers:-

$\boxed{\frac{5-9}{3-(-1)}}$

$\circ$ On simplification,

$\boxed{\frac{-4}{3+1}}$

$\circ$ On further simplification,

$\boxed{\frac{-4}{4}}$

$\circ\sf{SLOPE=-1}$

<h3>Good luck with your studies.</h3>

$\rule{300}{1}$

5 0

2 years ago

If f(x)=1/x and g(x) = x+4, which of the following is the graph of (gf)(x)?

slega [8]

The graph of the function 1 + 4/x is attached below.

<h3>What is a graph?</h3>

A graph contains data of which input maps to which output.

Analysis of this leads to the relations which were used to make it.

Given;

If f(x ) = 1/x and g(x) = x+4

then,

(gf)(x)

= 1/x (x + 4)

= 1 + 4/x

The graph of the function 1 + 4/x is attached below.

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6 0

2 years ago