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3 years ago

The vertices of a rectangle are A(-4,-3) b(-4,-1)C(-1,-1)d(-1,-3)

Mathematics

1 answer:

Vesnalui [34]3 years ago

4 0

Answer:

Step-by-step explanation:

a: A(4,-3) B(4,-1) C(1,-1) D(1,-3)

b: A(-4,3) B(-4,1) C(-1,1) D(-1, 3)

c:yes because you are just changing the direction not the shape or size

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Write the linear equation given two points (-6, 8) and (3, -7). *

horrorfan [7]

$\bf (\stackrel{x_1}{-6}~,~\stackrel{y_1}{8})\qquad (\stackrel{x_2}{3}~,~\stackrel{y_2}{-7}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-7}-\stackrel{y1}{8}}}{\underset{run} {\underset{x_2}{3}-\underset{x_1}{(-6)}}}\implies \cfrac{-15}{3+6}\implies \cfrac{-15}{9}\implies -\cfrac{5}{3}$

$\bf \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{8}=\stackrel{m}{-\cfrac{5}{3}}[x-\stackrel{x_1}{(-6)}]\implies y-8=-\cfrac{5}{3}(x+6) \\\\\\ y-8=-\cfrac{5}{3}x-10\implies y = -\cfrac{5}{3}x-2$

6 0

2 years ago

8х + 5у = -7<br> — 7х + бу = — 4

Levart [38]

Answer: x = -0.2651 and y = -0.9759

Step-by-step explanation:

Solution by substitution method

8x+5y= -7

-7x+6y= -4 = 7x-6y=4

Suppose,

8x+5y=-7→(1)

7x-6y=4→(2)

Taking equation (1), we have

8x+5y= -7

⇒8x= -5y -7

⇒x= -5y-7 / 8 →(3)

Putting x= -5y-7 / 8

in equation (2), we get 7x-6y=4

7(-5y-7/8)-6y=4

⇒-35y-49-48y=32

⇒-83y-49=32

⇒-83y=32+49

⇒-83y=81

⇒y= 81 / -83

⇒y= -0.9759→(4)

Now, Putting y= -0.9759 in equation (3), we get

x= -5y-7

x= -5(-0.9759)-7/8

⇒x= 4.8795-7/8

⇒x= -2.1205/8

⇒x= -0.2651

∴x= -0.2651 and y = -0.9759

7 0

2 years ago

Determine the 15th term of the sequence -2, 4,...

Thepotemich [5.8K]

Mot enough information given.
The rule might be

-- add 6
or
-- double and add 8
or
-- square
or
-- multiply by -2 .

We need one more term to determine what the rule is for calculating the next term from the previous one.

The

7 0

2 years ago

Read 2 more answers

Can someone please help me with this question about given two points?Please help ASAP!!! :(

KonstantinChe [14]

Answer:

<em>The order of subtraction is not important in any of the coordinates</em>

Step-by-step explanation:

Distance Between Two Points

Given two points (x1,y2) (x2,y2), the distance between them is given by the formula

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

The difference between both coordinates is squared, then added, and finally extracted the square root.

Based on the principle that

$a*a=a^2$

and also

$(-a)(-a)=a^2$

We can notice it doesn't matter the sign of a the square of a is always positive. If we had subtracted in the opposite way, the distance would have resulted in exactly the same. In other words, the above formula is exactly the same as

$d=\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}$

As seen, it applies for both coordinates

6 0

2 years ago

Rachel walks to a friends house then to the store then back home. the distance from Rachel’s house to her friends house is 1 5/6

ryzh [129]

Answer:

11/12 miles hope this helps :)

7 0

3 years ago