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3 years ago

8x – 9y = –61 x +9y = 43 what is the y coordinate?

Mathematics

1 answer:

marishachu [46]3 years ago

4 0

Answer:

The answer is y=5

Step-by-step explanation:

9x=-18

x=-2

-2+9y=43

9y=45

y=5

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Two collinear points on a line are given in the table below:

katrin [286]

Answer:

$(4,3)$ and $(7,2)$ do not lie on the line

Step-by-step explanation:

Given

$(0,0)\ and\ (2,1)$

Required

Determine which points that are not on the line

First, we need to determine the slope (m) of the line:

$m = \frac{y_2 - y_1}{x_2- x_1}$

Where

$(x_1,y_1) = (0,0)$

$(x_2,y_2) = (2,1)$

So;

$m = \frac{y_2 - y_1}{x_2- x_1}$

$m = \frac{1 - 0}{2-0}$

$m = \frac{1}{2}$

Next, we determine the line equation using:

$y - y_1 = m(x -x_1)$

Where

$m = \frac{1}{2}$

$(x_1,y_1) = (0,0)$

$y - y_1 = m(x -x_1)$ becomes

$y - 0 = \frac{1}{2}(x - 0)$

$y = \frac{1}{2}x$

To determine which point is on the line, we simply plug in the values of x to in the equation check.

For $(4,2)$

$x = 4$ and $y =2$

Substitute 4 for x and 2 for y in $y = \frac{1}{2}x$

$2 = \frac{1}{2} * 4$

$2 = \frac{4}{2}$

$2=2$

This point is on the graph

For $(4,3)$

$x = 4$ and $y = 3$

Substitute 4 for x and 3 for y in $y = \frac{1}{2}x$

$3 = \frac{1}{2} * 4$

$3 = \frac{4}{2}$

$3 \neq 2$

This point is not on the graph

For $(7,2)$

$x = 7$ and $y = 2$

Substitute 7 for x and 2 for y in $y = \frac{1}{2}x$

$2 = \frac{1}{2} * 7$

$2 = \frac{7}{2}$

$2 \neq 3.5$

This point is not on the graph

$(\frac{4}{8},\frac{2}{8})$

$x = \frac{4}{8}$ and $y = \frac{2}{8}$

Substitute $\frac{4}{8}$  for x and  $\frac{2}{8}$ for y in $y = \frac{1}{2}x$

$\frac{2}{8} = \frac{1}{2} * \frac{4}{8}$

$\frac{2}{8} = \frac{1 * 4}{8 * 2}$

$\frac{2}{8} = \frac{4}{16}$

$\frac{1}{4} = \frac{1}{4}$

This point is on the graph

3 0

3 years ago

Decide if each expression is equivalent to 2^6 or 4^4

Mandarinka [93]

Answer:

Step-by-step explanation:

2^6=64

4^4=256

4 0

2 years ago

Brandon is playing hide-and-seek with Katy and Tony. Katy is hiding 63 feet south of Brandon, and Tony is hiding due east of Kat

sergij07 [2.7K]

Answer:

60 feets

Step-by-step explanation:

Given that :

Using Pythagoras rule :

Hypotenus = sqrt(Adjacent^2 + opposite^2)

From the attached picture :

x² = 87^2 - 63^2

x^2 = 7569 - 3969

X^2 = 3600

Take the square root of both sides :

X = sqrt(3600)

X = 60 feets

Hence, Katy and Tony are 60 feets apart

6 0

2 years ago

Can Someone PLEASE help me And if you can show your work.

Setler79 [48]

V= pi r2 h/3
V= pi (6)2 (8/3)
V= pi (36) (2.6)
V= pi (93.6)
V= 293.904
Hope this helps!

8 0

2 years ago

Evaluate. 72 - 3 + 9 × 8 ÷ 2 w =

d1i1m1o1n [39]

Answer:

Step-by-step explanation:

Request of activities so increase then division, at that point deduction and expansion.

9*8 = 72

72/2 = 36

72-3 = 69

69+36 = 105

Another way of saying it is:

Utilize the request for tasks to improve on mathematical articulations. The request is brackets, types and roots, augmentation and division, expansion and deduction. Duplication and division are "something similar" so you would utilize the first that happens from left to right.

Bit by bit clarification:

7^2 - 3 + 9 x 8 ÷ 2

49 - 3 + 9 x 8 ÷ 2

49 - 3 + 72 ÷ 2

49 - 3 + 36

49 - 39

W=10

Brainliest?

6 0

2 years ago

Read 2 more answers