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nydimaria [60]
3 years ago
11

Solve the quadratic by factoring. x^2-5x-31=5

Mathematics
1 answer:
torisob [31]3 years ago
5 0

Answer:

x =  - 4\: or \: x =  9

Step-by-step explanation:

make one side equal to zero:

{x}^{2}  - 5x - 36 = 0

find two factors that multiply to -36 and add to -5 (-9 & 4)

{x }^{2}  - 9x + 4x - 36 = 0

factorise

x(x - 9) + 4(x - 9) = 0

(x + 4)(x - 9) = 0

solve for x

x =  - 4 \: or \: x = 9

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eimsori [14]
Your answer should be C! Hope that helps
6 0
3 years ago
Find slope<br><br> A.1/2<br> B.-1/2<br> C.-2<br> D.2
fomenos

Answer:

Option B, -1/2

Step-by-step explanation:

<u>The slope is change in y over change in x.</u>

<u />

<em>Since this line is facing downward, we already know that the slope is negative.</em>

<em />

<u>To find the ratio, find the change in y and divide the change in x.</u>

<em>Change in y = -1</em>

<em>Change in x = 2</em>

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<u>Change in y over change in x:</u>  <em>-1/2</em>

Answer:  Option B, -1/2

6 0
3 years ago
(15 pts) 4. Find the solution of the following initial value problem: y"-10y'+25y = 0 with y(0) = 3 and y'(0) = 13
jolli1 [7]

Answer:

y(x)=3e^{5x}-2xe^{5x}

Step-by-step explanation:

The given differential equation is y''-10y'+25y=0

The characteristics equation is given by

r^2-10r+25=0

Finding the values of r

r^2-5r-5r+25=0\\\\r(r-5)-5(r-5)=0\\\\(r-5)(r-5)=0\\\\r_{1,2}=5

We got a repeated roots. Hence, the solution of the differential equation is given by

y(x)=c_1e^{5x}+c_2xe^{5x}...(i)

On differentiating, we get

y'(x)=5c_1e^{5x}+5c_2xe^{5x}+c_2e^{5x}...(ii)

Apply the initial condition y (0)= 3 in equation (i)

3=c_1e^{0}+0\\\\c_1=3

Now, apply the initial condition y' (0)= 13 in equation (ii)

13=5(3)e^{0}+0+c_2e^{0}\\\\13=15+c_2\\\\c_2=-2

Therefore, the solution of the differential equation is

y(x)=3e^{5x}-2xe^{5x}

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3 years ago
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3 years ago
What does x equal?.....​
frosja888 [35]

Answer:

38

Step-by-step explanation:

AB is parallel to CD. So, <ABC = <BCD.

Now, <BCD = <ABC = 180 - 111 - 31 = 38

5 0
3 years ago
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