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tino4ka555 [31]
3 years ago
14

X^2 + 6x - 18 solve for x​

Mathematics
2 answers:
Simora [160]3 years ago
4 0

Answer:

x = - 3  ± √27 or if you want it in decimal form correct to  nearest hundredth:

x = -8.20, 2.20.

Step-by-step explanation:

x^2 + 6x - 18 = 0

this will not factor so we use completing the square:

x^2 + 6x = (x + 3)^2 - 9 so:

(x + 3)^2 - 9 - 18 = 0

(x + 3)^2 = 27

x+ 3 = ±√27

x = - 3  ± √27

Roman55 [17]3 years ago
4 0
The answer :X= 8.20
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In the diagram, point D divides line segment AB in the ratio of 5:3. If line segment AC is vertical and line segment CD is horiz
BabaBlast [244]

Answer:

C (2, -1)

Step-by-step explanation:

C has the same x coordinate as A = 2

that eliminates A and B.

and the y value of C has to be closer to the y value of B than to the y value of A (due to the 5:3 ratio).

so, without spending unnecessary effort on actual calculation, we can directly derive the correct answer to be C.

but to show in numbers, the "coordinate triangle" of the difference between D and B is a similar triangle to ACD. and so, the ratio of one side pair applies then to all other sides too. including the individual coordinate differences.

so, also the y difference of A to D relates to the y difference between D and B in the same ratio of 5:3 of the overall y difference of A to B.

the y difference A to B is 2 - -6 = 8

the 5/3 split of 8 units is actually 5 and 3.

so, the y coordinate of D is -6 + 5 = -1

and C must have the same y coordinate.

therefore, it is proven that answer C (2, -1) is the right answer.

4 0
3 years ago
PLEASE SOMEONE HELP ME WITH THESE QUESTIONS I'VE BEEN STUCK ON HERE FOR SO LONG​
Neporo4naja [7]

Answer:

# means number

Step-by-step explanation:

Distance = Y-axis or output

Cost= X-axis or input

you do not need to add the brackets for the formula(BEDMAS), but it makes things clearer

For A -

the Y-intercept is where the first coordinate, or the # or the X-axis, is 0 (on the graph the y-intercept 0,4)

For B -

y = mx + b

m =  slope

x = input or # on the X-axis

b = y-intercept

or

formula = (input x increase in the slope) + output for 0 or (distance x increase in cost) + output for 0

input(x axis)         output(y axis)

0                 5    ← output for 0

1                  9  

2                 13

there is a +4 increase in the slope, the increase in the slope is an output #(in this case 9) - the previous output number (in this case 5)

formula = (input x increase in the slope) + output for 0 = distance

formula in use = (3 x 4) + 5 = 17

For C:

The dependent variable is the output or the cost because the input or the distance will determine the cost travelled. Eg. if I travel 9 miles it will cost $41. If the dependent variable is the cost then the independent variable is the distance

For D: (input x increase in the slope) + output for 0

(4.2 miles x $4) + 5

16.8 + 5 = $21.8; It will cost $21.8 to travel 4.2miles

For E: (distance x increase in cost) + output for 0

(? x 4) + 5 = 14

(14 - 5) = 9

9 ÷ 4 = 2.25miles; with 14 dollars I could travel 2.25 miles

(It is a bit confusing lol, but this is the way I understand it, if you can't understand it this way then use y = mx + b)

4 0
3 years ago
A line passes through the point (-4,-8) and has a slope of -5/2.
kogti [31]
Here you go, and please mark brainliest :)

3 0
3 years ago
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What is the volume of metal in the pipe? Use 3.14 for a and
aleksandr82 [10.1K]
I need another number for this problem to answer
4 0
3 years ago
Read 2 more answers
Math help? 15 Points
Masja [62]
I think the best answer would be F.
When √10 is converted into a decimal it is 3.16, and F is the most close to that.
Hope this helps! 
3 0
4 years ago
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