All categories

4 years ago

Consider the system of equations, x - 2y = 8 and -2x+4y=-16.

Mathematics

2 answers:

lara [203]4 years ago

7 0

Answer:

Consider the system of equations, x – 2y = 8 and –2x + 4y = –16.

What is x – 2y = 8 in slope-intercept form?

y=(1/2)x - 4

What is –2x + 4y = –16 in slope-intercept form?

y=(1/2)x - 4

How many solutions will there be?

infinitely many solutions

What will the graph of the system look like?

the lines are exactly the same

(I answered using the other answer and it was incorrect. It autocorrected it to these answers. This answer is correct.)

sammy [17]4 years ago

6 0

Answer:

y = x/2 - 4 slope-intercept form

y = x/2 + 4 slope-intercept form

NO SOLUTION.

The graph is a pair of parallel lines one line through point (0, -4) and the other through point (0, 4)

Step-by-step explanation:

x - 2y = 8 and -2x+4y=-16.

we can easily convert these to slope intercept form

x - 2y = 8

-2y = 8 - x

2y = x - 8

y = x/2 - 8/2

y = x/2 - 4 slope-intercept form

------------------------------

-2x + 4y = 16

4y = 2x + 16

y = 2x/4 + 16/4

y = x/2 + 4 slope-intercept form

We have 2 lines that are parallel because they have the same slope

You might be interested in

Can someone please help me with this question?? (no links!!!)

Tpy6a [65]

Answer:

180ft

Step-by-step explanation:

By using the formula, we do Pi (3) x the radius which is 6² then x by the height, so, we do 3 x 6² x 5. 6² is 36. 3 x 36 = 108. Next, we do 5 x 108. This gives us 540. Now, we have to divide by 3. This makes our answer 180ft.

7 0

3 years ago

Q8 The midpoint of GH is M (2,2). One endpoint is H (1,9). Find the coordinates of endpoint G.

Amanda [17]

Answer:

(3,-5)

Step-by-step explanation:

Given

$M = (2,2)$

$H = (1,9)$

Required

Determine G

This is calculated using the following midpoint formula;

$M(x,y) = (\frac{x_1 + x_2}{2},\frac{y_1 + y_2}{2})$

Where

$(x,y) = (2,2)$ and $(x_1,y_1) = (1,9)$

Substitute these values in the formula above

$(2,2) = (\frac{1 + x_2}{2},\frac{9 + y_2}{2})$

Solving for $x_2$

$2 =\frac{1 + x_2}{2}$

Multiply both sides by 2

$2 * 2 = 1 + x_2$

$4 = 1 + x_2$

$x_2 = 4 - 1$

$x_2 = 3$

Solving for $y_2$

$2 = \frac{9 + y_2}{2}$

Multiply both sides by 2

$2 * 2 = 9 + y_2$

$4 = 9 + y_2$

$y_2 = 4 - 9$

$y_2= -5$

Hence, the coordinates of G is $(3,-5)$

4 0

3 years ago

What element needs to be added to complete this paragraph?

Sonbull [250]

Answer:

the explanation that connects the point to the examples provided

Step-by-step explanation:

i just took the quiz

5 0

3 years ago

Let f(x)=x^2+2 and g(x)=1−3x. Find each function value: (f+g)(−1)

kykrilka [37]

Answer:

it's 1+2+1+3 = 7 ......

5 0

3 years ago

Determine the exact equation given the following descriptions.

NARA [144]

Garis pantai pun tak ada di Indonesia yang tidak ⛔akan menjadi lebih dari ordo Araneae Fart

5 0

3 years ago

Read 2 more answers