All categories

3 years ago

Solve by square roots 4x^2+11= 59

Mathematics

2 answers:

AnnyKZ [126]3 years ago

6 0

Subtract 11 from each side

4x^2+11-11= 59-11

4x^2 = 48

Divide by 4

4/4x^2 = 48/4

x^2 = 12

Take the square root of each side

sqrt(x^2) = sqrt(12)

x = ±sqrt(4 x 3)

baherus [9]3 years ago

3 0

Answer:

x= ±2 sqrt(3)

Step-by-step explanation:

4x^2+11= 59

Subtract 11 from each side

4x^2+11-11= 59-11

4x^2 = 48

Divide by 4

4/4x^2 = 48/4

x^2 = 12

Take the square root of each side

sqrt(x^2) = sqrt(12)

x = ±sqrt(4*3)

x= ±2 sqrt(3)

You might be interested in

Whats 126/399 in its simplest form

marusya05 [52]

A common factor of both 126 and 399 is 3 so we can divide both numbers by 3.

126 / 3 = 42
399 / 3 = 133

A common factor for both 42 and 133 is 7 so we can divide both numbers by 7.

42 / 7 = 6
133 / 7 = 19

19 is a prime number so we can't reduce it anymore, therefore 126/399 in its simplest form is 6/19

4 0

3 years ago

If fx()=8-10x and g(x)=5x+4, what is the value of (fg)(-2)

lyudmila [28]

So, we are looking for F of G of 2. So, we need to work backwards and find G(x) first.

$g(-2)=5(-2)+4\\g(-2)=-6$

So we know that g(-2) = -6, now we take thatt -6 and plug in into f(x)

$f(g(-2))=f(-6)\\f(-6)=8-10(-6)\\f(-6)=8+60\\f(-6)=68$

68 is the answer

7 0

3 years ago

Karita had $138.72 in her checking account. She wrote checks for $45.23 and $18.00. Then she made a deposit of $75.85 into her a

svetlana [45]

Answer:

The best estimate for the money in Karita's account now is $151.

Step-by-step explanation:

Given:

Karita had $138.72 in her checking account.

She wrote checks for $45.23 and $18.00.

Then she made a deposit of $75.85 into her account.

Now, to find the best estimate for the money in Karita's account now.

Initial account = $138.72.

Deducted amount = $45.23+$18.00=$63.23.

So, the amount after deduction:

$138.72 - $63.23 = $75.49.

Now, the amount after deposit:

$75.49 + $75.85 = $151.34.

Therefore, the best estimate for the money in Karita's account now is $151.

6 0

3 years ago

If a line is perpendicular to y=-2/3x+2, will it be perpendicular to 2x+3y=12?

vova2212 [387]

Answer:

3x + 2y = -2 

Step-by-step explanation:

Given Equation is − 2 x + 3 y = 12

3 y = 2 x + 12

y = ( 2 /3 ) y + 12

Slope of this line is m = 2/ 3 

Slope of Line A  m a = 2 

Slope of Line B m b = 2/ 3 

Slope of Line C m c = − ( 2 /3 ) 

Slope of Line D m d = − ( 3 /2 ) 

since m d = − 1 /m , D is perpendicular to the given line

7 0

3 years ago

What is the distance between the points (13,20) and (18,8)

Eva8 [605]

√((18-13)^2+(20-8)^2)= 13

6 0

3 years ago