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Leviafan [203]
1 year ago
9

Solve the quadratic equation by completing the square.x^2-14x+46=0First choose the appropriate form and fill in the blanks with

the correct numbers. Then solve the equation. If there’s more than one solution, separate them with commas.

Mathematics
1 answer:
Kaylis [27]1 year ago
7 0

x² - 14x + 46 = 0

subtract 46 from both-side

x² - 14x = -46

Add the square of the half of the co-efficient of x

x² - 14x + (-7)² = -46 + 7²

(x-7)² = -46 + 49

(x-7)² =3

Take the square root of both-side

x-7 = ±√3

x-7= ±1.732

Add 7 to both-side of the equation.

x= 7 ± 1.732

Eithe x= 7 + 1.732 or x= 7 - 1.732

x=8.732 or x=5.268

Therefore x = 8.732 , 5.268

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Please help me to solve this ∫ 1/(x + √x) dx
skad [1K]

Answer:

\boxed{2ln (\sqrt{x}  + 1 ) + c}

Step-by-step explanation:

\int\limits {\frac{1}{x + \sqrt{x} } } \, dx

= \int\limits {\frac{1}{\sqrt{x} (\sqrt{x}  + 1 )} } \, dx

= \int\limits {\frac{2}{(\sqrt{x}  + 1 )} } \, d(\sqrt{x}  + 1 )

= 2ln (\sqrt{x}  + 1 ) + c

6 0
3 years ago
True of false, 3:2 is equal to 48:32
tia_tia [17]
The answer is:  "TRUE"

3/2 = (3*16) / (2*16) = (48 / 32) .
6 0
3 years ago
I don’t know how to start with drawing the diagram for this question.
kogti [31]

Consider right triangles ADB and ADC in the figure, right angle D.

By alternate transversals ABD=63° and ACD=11°.

\tan 63 = \dfrac 8 y

\tan 11 = \dfrac 8{x+y}

y = \dfrac{8}{\tan 63}

x = -y +  \dfrac{8}{\tan 11}

x = \dfrac{8}{\tan 11} -  \dfrac{8}{\tan 63}

x \approx 37.08 \textrm{ meters}

That's in one second, so

Answer: 37 meters per second

6 0
3 years ago
1. The function f(x) = –0.05(x2 – 26x – 120) represents the path coming out of the cannon. If x is the horizontal distance from
LenaWriter [7]
Question 1

f(x) represents the distance of the cannon from the ground

Question 2

When f(x) = 0, there will two values of 'x'. The point on the positive x-axis where the graph crosses represent the point where the cannon hits the ground.

Question 3

Yes, it would. By knowing the spot where the cannon will hit the ground, we can set the net at the spot.

Question 4

f(x) = 0
-0.05 (x² - 26x -120) = 0
x² - 26x - 120 = 0

Question 5

Please refer to the table attached below

Question 6

The value of p and q that gives the correct factors are -30 and 4 since it gives p+q = -26

Question 7

Factorising the equation completely

-0.05 (x² - 26x - 120) = 0
-0.05 (x+4) (x-30) = 0 
(x+4) (x-30) = 0

Question 8
 
Solving the equation

x+4 = 0 and x-30=0
x=-4 and x=30 

Question 9 

The roots of the equation is x = -4 and x = 30

Question 10

Please refer to the third graph

Question 11

Yes

Question 12

The negative zero means the initial distance of the cannon, where it was fired from

Question 13

The distance between x = -4 and x = 30 is 34 units. If the cannon was fired from the point when x = -4, the cannon will hit the ground again 34 units from the point it was fired from. If Nik put a net 30 units from the firing point, the cannon will fly pass it. 

7 0
3 years ago
ASAP please !!! Need help
juin [17]
The answer is B..............
3 0
3 years ago
Read 2 more answers
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