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AfilCa [17]
3 years ago
12

Which statement is not true? X squared equals 100 if and only if X equals 10 orX equals -10. If X squared equal 100 then X equal

s 10
Mathematics
1 answer:
mamaluj [8]3 years ago
7 0

Answer:

the second statement is not true

Step-by-step explanation:

If x squared equals 100, it doesn't mean necessarily that x is positive ten, since you can get 100 also by squaring the value (-10):

(-10)(-10)^{2} = (-10) x (-10) = 100

The second statement is ignoring the possibility of x being a negative ten which also gives 100 as answered when squared.

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Find all solutions to the following system of equations -y²+6y+x-9=0 ; 6y=x+27.Illustrate with a graph.
Dimas [21]

Answer:

The solution to the system is the pair (9, 6)

Step-by-step explanation:

Hi!

First, let´s write the system of equations:

-y² + 6y + x -9 = 0

6y = x +27

The solutions of the system are the pairs (x, y) that satisfy both equations.

Let´s take the second equation and solve it for x:

6y = x +27

Subtract 27 from both sides of the equation

6y - 27 = x

Now, we can replace x in the first equation and solve it for y:

-y² + 6y + x -9 = 0

-y² + 6y + 6y - 27 -9 = 0

-y² + 12y - 36 = 0

Notice that -y² + 12y - 36 = -(y - 6)², then:

-(y - 6)² = 0

y - 6 = 0

y = 6

(alternatively you can solve the quadratic equation using the quadratic formula).

Now let´s find the value of x:

x = 6y -27

x = 6·6 -27

x = 9

The solution to the system is the pair (9, 6)

Please see the attached figure. The point where the curves intersect is the solution to the system.

6 0
3 years ago
Pls help pls pls ): precalc
Lena [83]
<h3>Answer: Choice A</h3>

\log_p N = b is not the same as b^p = N

The base of the log is p, while the base of the exponential is b. The two don't match. If it said \log_p N = b \text{ is the same as } p^b = N then it would be a valid statement since the bases are both p.

-----------------

Extra info:

Choice B is a valid statement because Ln is a natural log with base 'e'

Choice C is valid as any square root is really something to the 1/2 power

Choice D is valid for similar reasons mentioned earlier

5 0
3 years ago
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Katrina wants to build a fence around her square garden. Her garden has an area of 121 square feet. How much fencing will Katrin
Luba_88 [7]

121 \div 2 = 11
each side equals 11
11 \times 4 = 44
katrina needs 44 ft of fence
4 0
3 years ago
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Which of the following equations is in standard form?
tatyana61 [14]
Yooo the answer is D!
4 0
3 years ago
10 POINTS IDENTIFY THE SLOPE, Y-INTERCEPT AND GRAPH.<br> 1. Y= 2X + 3<br> 2. Y = 34 X-2
Umnica [9.8K]

Answer:

slope: 1.) 2 ,,, 2.) 3/4

y-int: 1.) (0,3) ,,, 2.) (0,-2)

graph: attached in pictures/ blue line represents y=2x+3 ,,, red line represents y=3/4-2

Step-by-step explanation:

3 0
3 years ago
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