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romanna [79]
3 years ago
10

Select the correct answer. What is the solution to the equation?

Mathematics
1 answer:
Ierofanga [76]3 years ago
8 0

Answer:

B

Step-by-step explanation:

\sqrt{x} + 6 = x ( subtract 6 from both sides )

\sqrt{x} = x - 6 ( square both sides )

x = (x - 6)² ← expand using FOIL

x = x² - 12x + 36 ( subtract x from both sides )

0 = x² - 13x + 36 , that is

x² - 13x + 36 = 0 ← in standard form

(x - 4)(x - 9) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 4 = 0 ⇒ x = 4

x - 9 = 0 ⇒ x = 9

As a check

Substitute these values into the equation and if both sides are equal then they are the solutions.

x = 4

left side = \sqrt{4} + 6 = 2 + 6 = 8

right side = x = 4

Since 8 ≠ 4 then x = 4 is an extraneous solution

x = 9

left side = \sqrt{9} + 6 = 3 + 6 = 9

right side = x = 9

Thus the solution is x = 9 → B

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321.5 is between ________ and ________ on the number line.
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321.5 is between ___321_____ and ___322_____ on the number line.

Answer

B

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3 years ago
Before a race, Evelyn ran 27 minutes to warm up. The race took her 2 hours.
Gwar [14]

Answer:

C. 147 minutes

Step-by-step explanation:

This is 147 minutes because 2 hours equal up to 120 minutes, before that Evelyn ran 27 minutes. So, now you have to add 120 and 27. You get 147.

4 0
3 years ago
Find y when x=4 and z=15; if y varies jointly as x and z y=5 when z=8 and x=10
Law Incorporation [45]
I think the answer to y when x=4 and z=15; if y varies jointly as x and z y=5 when z=8 and x=10 is B. Y=1/2. Y•15; 12/4.
3 0
3 years ago
Work out the size of the angle marked x.<br> x<br> 145
dedylja [7]

Answer:

x = 125°

Step-by-step explanation:

The sum of the angles around a point = 360° , then

90 + 145 + x = 360°

235° + x = 360° ( subtract 235° from both sides )

x = 125°

5 0
2 years ago
George and carmen went on a bicycle trip. they took a bus to their starting piont, and then biked the rest. they traveled 275 ki
rodikova [14]
We need to do a system of equations here.

x + y = 275 (if you travel <em>x</em> km by bike and <em>y </em>km by bus, then you travel 275 km as given in the problem)
y = x + 55 (the problem stated that they were bussed (y) the amount they biked plus 55 more km (x + 55))

The second equation is already solved for y. So, we can plug it in to the first equation.

x + (x + 55) = 275
2x + 55 = 275 [combine x terms]
2x = 220 [subtract 55 from both sides]
x = 110 [divide by 2 to isolate x and solve for it]

Now we know that x is 110, the distance they traveled by bike.
And that's what we needed to answer the problem!
5 0
3 years ago
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