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____ [38]
2 years ago
13

Find the value of x m<2=4x+12

Mathematics
1 answer:
Sergeu [11.5K]2 years ago
6 0

Answer:

x = 1

Step-by-step explanation:

the angle 2 is equal to 52, because triangles add up to be 180, and 180 - 76 and divided by two is 52. 52 = 4x + 12. Divide both sides by four, then subtract 12. x = 1

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I can't figure this out
andriy [413]
Suppose that equation of parabola is
y =ax² + bx + c


Since parabola passes through the point (2,−15) then 
−15 = 4a + 2b + c

Since parabola passes through the point (-5,-29), then
−29 = 25a − 5b + c

Since parabola passes through the point (−3,−5), then 
−5 = 9a − 3b + c


Thus, we obtained following system:
4a + 2b + c = −15
25a − 5b + c = −29
9a − 3b + c = −5

Solving it we get that 
a = −2, b = −4, c = 1

Thus, equation of parabola is
y = −2x²− 4x + 1

____________________

Rewriting in the form of 
(x - h)² = 4p(y - k)

i) -2x² - 4x + 1 = y

ii) -3x² - 7x = y - 11
(-3x² and -7x are isolated)

iii) -3x² - 7x - 49/36 = y - 1 - 49/36
(Adding -49/36 to both sides to get perfect square on LHS)

iv) -3(x² + 7/3x + 49/36) = y - 3
(Taking out -3 common from LHS)

v) -3(x + 7/6)² = y - 445/36 

vi) (x + 7/6)² = -⅓(y - 445/36) 
(Shifting -⅓ to RHS)

vii) (x + 1)² = 4(-1/12)(y - 445/36)
(Rewriting in the form of 4(-1/12) ; This is 4p) 


So, after rewriting the equation would be - 

(x + 7/6)² = 4(-⅛)(y - 445/36)

__________________

I hope this is what you wanted.

Regards,
Divyanka♪
__________________
6 0
2 years ago
Read 2 more answers
6x-58+2x+4=5x<br>find the value of x
mariarad [96]
You pass the x in one side and numbers to the other side
8x-5x=58-4
add and subtract
3x=54
divide by 3
x=18
7 0
3 years ago
How was FDR a lasting impact on today's society?​
Gre4nikov [31]

Answer:

<u><em>He created numerous programs to provide relief to the unemployed and farmers while seeking economic recovery with the National Recovery Administration and other programs</em></u>

<u><em>He also instituted major regulatory reforms related to finance, communications, and labor, and presided over the end of Prohibition</em></u>

Step-by-step explanation:

Hope this helps:)

7 0
2 years ago
kayleigh is pucharsing organic carrots for her pet rabbit.The store has a 5 pound bag for $9.45 for an 8 for $13.68 Which bag wo
PilotLPTM [1.2K]

Answer: The 8 pound bag

Step-by-step explanation: you divide 9.45 by 5 and you get the unit rate of 1.89 and then you divide 13.68 by 8 and you get the unit rate of 1.71 which means the 8 pound bag is cheaper.

8 0
3 years ago
. In triangle DEF, the measure of angle D is 122º. Angle E is acute, and angle F is 19º. What is the measure of angle F in degre
MrRa [10]

Answer: 19 degrees is your answer

Step-by-step explanation:

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