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enot [183]
1 year ago
12

Given (2x + 3) (3x − 2) = 0

Mathematics
1 answer:
algol131 year ago
3 0
X1 = -3/2 or -1.5
x2 = 2/3 or .666667
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Point B has coordinates ​(4,1). The​ x-coordinate of point A is -4. The distance between point A and point B is 10 units. What a
klasskru [66]

Given:

Point B has coordinates ​(4,1).

The​ x-coordinate of point A is -4.

The distance between point A and point B is 10 units.

To find:

The possible coordinates of point​ A.

Solution:

Let the y-coordinate of point A be y. Then the two points are A(-4,y) and B(4,1).

Distance formula:

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

The distance between point A and point B is 10 units.

\sqrt{(4-(-4))^2+(1-y)^2}=10

Taking square on both sides, we get

(8)^2+(1-y)^2=100

(1-y)^2=100-64

(1-y)^2=36

Taking square root on both sides, we get

(1-y)=\pm \sqrt{36}

-y=\pm 6-1

y=1\mp 6

y=1-6 and y=1+6

y=-5 and y=7

Therefore, the possible coordinates of point​ A are either (-4,-5) or (-4,7).

7 0
2 years ago
A line has slope 5/6 and y-intercept-3
viva [34]

Answer:

The equation would be y = 5/6x - 3

Step-by-step explanation:

8 0
2 years ago
1.3.12
kondaur [170]

Answer:

<h3><em>(12, -6)</em></h3>

Step-by-step explanation:

The formula for calculating the midpoint of two coordinates is expressed as shown;

M(X, Y) = [(x1+x2)/2,  (y1+y2)/2]

Given the midpoint of ST to be ((6, -2) and one endpoint T is (0,2), according to expression above;

X = (x1+x2)/2

Y = (y1+y2)/2

From the coordinates, X = 6, Y = -2, x1 = 0 and y1 = 2, to get x2 and y2;

X = (x1+x2)/2

6 =  (0+x2)/2

cross multiply

12 = 0+x2

x2 = 12-0

x2 = 12

For 2;

Y = (y1+y2)/2

-2 =  (2+y2)/2

cross multiply

-4 = 2+y2

y2 = -4-2

y2 = -6

<em>Hence the other endpoint S(x2, y2) is (12, -6)</em>

<em></em>

3 0
3 years ago
HELP PLEASE LAST ONE
S_A_V [24]
Mdkdgsmsmsgsbjslsgsvsvsvsjs
5 0
2 years ago
Solve the following equation. Then place the correct number in the box provided. x/9 = 1
BARSIC [14]

First, we need to isolate the variable x.

To isolate x, we simply need to multiply both sides by 9, which would result in x = 9

3 0
3 years ago
Read 2 more answers
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