MATHEMATICS HIGH SCHOOL

Find the non-extraneous solutions of the square root of the quantity x plus 9 minus 5 equals quantity x plus 4

Answers

Answer 1

Answer:

Answer:

x=8 and x=9

Step-by-step explanation:

The given equation is:

$√(x+9)-5=x+4$

On solving this equation, we get

⇒ $√(x+9)=x+9$

Squaring on both sides, we get

⇒ $x+9=x^2+81+18x$

⇒ $x^2+18x-x-9+81=0$

⇒ $x^2+17x+72=0$

⇒ $x^2+8x+9x+72=0$

⇒ $(x+8)(x+9)=0$

Thus, the solution of the above equations are x= 8 and x=9.

Answer 2

Answer: I"m guessing you mean
$√(x+9) -5=x+4$
add 5 to both sides
$√(x+9)=x+9$
square both sides
x+9=x²+18x+81
minus x+9 both sides
0=x²+17x+72
factor
what 2 numbres multiply to get 72 and add to get 17?
8 and 9
0=(x+8)(x+9)
set to zer

0=x+8
x=-8

x+9=0
x=-9

test each

$√(-8+9) -5=-8+4$
$√(1) -5=-4$
1-5=-4
-4=-4
true

$√(-9+9) -5=-9+4$
$√(0) -5=-5$
-5=-5
true

the solutions are x=-9 and -8

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Answers

So to find the slope, its "rise over run" aka $(y_(2)-y_1)/(x_2-x_1)$

To find it, take two points on the graph, in this case I'll use (0,1) and (5,4). Just place them into the equation and solve.

$(4-1)/(5-0) \n \n (3)/(5)$

In short, 3/5 is the slope.

the slope would be 3/5

the slope of a line is –2 and its y-intercept is (0, 3). what is the equation of the line that is parallel to the first line and passes through (2, 2)? a. y=4/3x - 3/2 b. 6x-4y=-8 c. y=3/4x 1 d. 4x – 2y = –12

Answers

Parallel lines has equal slope.
Required equation is (y - 2)/(x - 2) = -2 => y - 2 = -2(x - 2) => y - 2 = -2x + 4 => 2x + y = 6

A recipe that makes 7 servings calls for 1 1/6 cups of jucie.how many cups of jucie per serving?
a.) 1/6

b.) 1/7

c.) 7/6

d.) 6/7

Answers

$1 (1)/(6) = (6)/(6) + (1)/(6) = (7)/(6) \n Basically:1 (1)/(6) = (7)/(6) \n (7)/(6) / 7 \n (7)/(6) / (7)/(1) \n (7)/(6) * (1)/(7) \n (7*1)/(6*7) \n (7)/(42) \n (1)/(6)$
The answer is a.) 1/6 cup
Step One: Make 1 1/6 an improper fraction
Step Two: Write equation
Step Three: Make the whole number (7) a fraction by putting it over one
Step Four: Divide 7/6 by 7/1
Step Five: Slip 7/1 for the reciprocal, 1/7
Step Six: Multiply the two fractions
Step Seven: Simplify
Hope this helps!

What is (5x + 3z) +9z simplified

Answers

5x+12z Because you take, 3z+9z and that is equivalent to 12z. and then you put the 5x back into the equation so it is 5x+12z

the answer is 8x+12z

your welcome

A full-length mirror cost $144.99 when the CPI was 163. What will a full-length mirror cost when the CPI is 211, to the nearest cent?a) $305.93
b) $214.59
c) $187.68
d) $88.95

If it's not too much to ask, could you thoroughly explain it with exact steps so I can do it myself. Thank you plenty.

Answers

163 cost $144.99
211 cost ????

211 * 144.99 / 163
= 30,592.89/163
=187.68

Answer is c) $187.68

Answer:

$187.68

Step-by-step explanation:

Simplify i³⁸. [i=√(-1)]

Answers

for the answer to the question above, the answer is simple, and it is -1 (because even powers of an imaginary number or i will always give a -1).I hope my answer helped you with your problem. Have a nice day!

-1 ...................................................................you're welcome.

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