How do you slove this?

Mathematics

1 answer:

Ksivusya [100]2 years ago

5 0

1. a^2 + 7a + 10 = 0
(a + 5)(a + 2) = 0
a + 5 = 0....a = -5
a + 2 = 0...a = -2
solution : (-2,-5)

2. n^2 - 8n + 12 = 0
(n - 2)(n - 6) = 0
n - 2 = 0....n = 2
n - 6 = 0...n = 6
solution : (2,6)

3. y^2 - 49 = 0
y^2 = 49
y = sqrt 49
y = (+-) 7
y = 7
y = -7
solution : (-7,7)

4. x^2 + 5x - 6 = 0
(x+ 6)(x - 1) = 0
x + 6 = 0...x = -6
x - 1 = 0...x = 1
solution : (-1,1)

5. u^2 - 7u - 18 = 0
(u - 9)(u + 2) = 0
u - 9 = 0...u = 9
u + 2 = 0....u = -2
solution : (-2,9)

6. m^2 - 5m = 0
m(m - 5) = 0
m = 0
m - 5 = 0...m = 5
solution : (0,5)

7. 2t^2 + 5t - 3 = 0
(2t - 1)(t + 3) = 0
2t - 1 = 0...2t = 1...t = 1/2
t + 3 = 0...t = -3
solution : (1/2,-3)

8. 3w^2 -8w + 4 = 0
(3w - 2)(w - 2) = 0
3w - 2 = 0...3w = 2...w = 2/3
w - 2 = 0....w = 2
solution : (2/3,2)

9. 2x^2 -3x - 5 = 0
(2x - 5)(x + 1) = 0
2x - 5 = 0...2x = 5...x = 5/2
x + 1 = 0....x = -1
solution : (5/2,-1)

10. 5v^2 + 29v + 20 = 0
(5v + 4)(v + 5) = 0
5v + 4 = 0...5v = -4...v = - 4/5
v + 5 = 0....v = -5
solution : (-4/5,-5)

11. 6n^2 - 19n + 15 = 0
(3n-5)(2n-3)=0
3n-5 = 0...3n = 5...n = 5/3
2n - 3 = 0....2n = 3...n = 3/2
solution : (5/3,3/2)

12. 2k^2 + 7k = 0
k(2k+7) = 0
k = 0
2k+7 = 0...2k = -7...k = -7/2
solution : (0,-7/2)

13. 3b^2 + b - 10 = 0
(3b-5)(b+2) = 0
3b - 5 = 0....3b = 5..b = 5/3
b + 2 = 0...b = -2
solution :(5/3,-2)

14. 4y^2 -25 = 0
4y^2 = 25
y^2 = 25/4
y = sqrt 25/4
y = (+-) 25/4
y = 2.5
y = -2.5
solution : (2.5,-2.5)

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In AWXY, mW Find mZX (2x – 12), m_X = (2x + 17), and m_Y = (9x-7) Find m

sladkih [1.3K]

Answer:

Step-by-step explanation:

The sum of interior angles in a triangle is equal to 180

2x - 12 + 2x + 17 + 9x - 7 = 180 add like terms

13x - 2 = 180 add 2 to both sides

13x = 182 divide both side by 13

x = 14

m<X = 2x + 17 replace x with 14

2*14 + 17 = 45

5 0

1 year ago

How do you graph D? PLz explain. HELPPPPPPPPPPPPPPP

yanalaym [24]

See the attached image for the graph. Specifically figure 2 is the graph you want. You can leave the red points on the graph or decide to erase them (leave behind the blue line though).

To generate each of the red points, you'll plug in various x values to get corresponding y values.

For instance, plug in x = 0 and we get...
y = -|x-6| - 6
y = -|0-6| - 6
y = -|-6| - 6
y = -6 - 6
y = -12
So when x = 0, the y value is -12. The x and y value pair up to get (x,y) = (0,-12)

Another example: plug in x = 2
y = -|x-6| - 6
y = -|2-6| - 6
y = -|-4| - 6
y = -4 - 6
y = -10
So the point (2,-10) is on the graph

The idea is to generate as many points as possible so we get an idea of what this thing looks like.

Generate enough points, and you'll get what you see in Figure 1 (see attached image)

Then draw a line through all of the points. The more points you use, the more accurate the drawing. Doing that will generate the blue function curve you see in Figure 2 (also attached)