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nirvana33 [79]
3 years ago
8

Solve for x:

itle=" \sqrt{x + 40} - 17 = - 11" alt=" \sqrt{x + 40} - 17 = - 11" align="absmiddle" class="latex-formula">
​
Mathematics
1 answer:
Bumek [7]3 years ago
8 0

Answer:

x=-4

Step-by-step explanation:

sqrt(x+40) - 17 = -11

Add 17 to each side

sqrt(x+40) - 17+17  = -11+17

sqrt(x+40) = 6

Square each side

(sqrt(x+40) )^2 = 6^2

x+40 = 36

Subtract 40 from each side

x+40-40 = 36-40

x = -4

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Step-by-step explanation:

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3 years ago
43: PLEASE HELP Write the equation 22x-2y-10 in slope-intercept form
Gnoma [55]

Answer:

y= 11x -5

Step-by-step explanation:

I believe you rearrange it to get y on one side of the equation so,

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7 0
3 years ago
write an equation in slope intercept form for the line that passes through the point, and is perpendicular to the line y=-1/3x+9
aleksklad [387]

Answer:

Step-by-step explanation:

y=-1/3x+9

This is written in the format y=mx+b, where m is the slope and b the y-intercept (the value of y when x=0).

Perpendicular lines have a slope that is the negative inverse of the slope of the reference line, in this case -(1/3).  The new slope is 3.  equation is:

y = 3x + b

To find b, enter the given point, (-6,-2) and solve for b:

y = 3x + b

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8 0
2 years ago
Part 1
svetlana [45]

Answer:

A: This polynomial has a degree of 2 , so the equation 12x2+5x−2=0 has two or fewer roots.

B: The quadratic equation 12x2+5x−2=0 has two real solutions, x=−2/3 or x=1/4 , and therefore has two real roots.

Step-by-step explanation:

f(x) = 12x^2 + 5x - 2.

Since this is a quadratic equation, or a polynomial of second degree, one can easily conclude that this equation will have at most 2 roots. At most 2 roots mean that the function can have either 2 roots at maximum or less than 2 roots. Therefore, in the A category, 2nd option is the correct answer (This polynomial has a degree of 2 , so the equation 12x^2 + 5x − 2 = 0 has two or fewer roots).

To find the roots of f(x), set f(x) = 0. Therefore:

12x^2 + 5x - 2 = 0. Solving the question using the mid term breaking method shows that 12*2=24. The factors of 24 whose difference is 5 are 8 and 3. Therefore:

12x^2 + 8x - 3x - 2 = 0.

4x(3x + 2) -1(3x+2) = 0.

(4x-1)(3x+2) = 0.

4x-1 = 0 or 3x+2 = 0.

x = 1/4 or x = -2/3.

It can be seen that f(x) has two distinct real roots. Therefore, in the B category, 1st Option is the correct answer (The quadratic equation 12x2+5x−2=0 has two real solutions, x=−2/3 or x=1/4 , and therefore has two real roots)!!!

8 0
3 years ago
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