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dexar [7]
3 years ago
11

Consider the statement sqrt 300c9 = 10cx sqrt 3c. For what value of x is the statement true? x =

Mathematics
2 answers:
Marta_Voda [28]3 years ago
8 0

Answer:

x=4

Step-by-step explanation:

Step2247 [10]3 years ago
6 0

Answer:

Given the statement: Square root 300c^9 = 10c^x square root 3 c

⇒\sqrt{300c^9} =10c^x\sqrt{3c}

300c

9

=10c

x

3c

Squaring both sides we get;

(\sqrt{300c^9})^2= (10c^x\sqrt{3c})^2(

300c

9

)

2

=(10c

x

3c

)

2

Simplify:

300c^9 = 100c^{2x}(3c)300c

9

=100c

2x

(3c)

We know: a^m \cdot a^n = a^{m+n}a

m

⋅a

n

=a

m+n

then;

300c^9 = 300c^{2x+1}300c

9

=300c

2x+1

Divide both sides by 300 we get;

c^9 = c^{2x+1}c

9

=c

2x+1

On comparing both sides we have;

9 = 2x+19=2x+1

Subtract 1 from both sides we get;

8 = 2x

Divide both sides by 2 we have;

x = 4

Therefore, for the value of x =4 the given statement is true.

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Is my answer correct? 10 points + brainleist!
Liono4ka [1.6K]

Answer:

your answer is incorrect.  The correct answer is  h=-13  and k=13 .

Step-by-step explanation:

If a quadratic function is f(x)=ax^2+bx+c and a>0, then minimum value of the function at point \left(-\dfrac{b}{2a},f(-\dfrac{b}{2a})\right).

The given function is

f(x)=x^2+bx+182

Here, a=1, b=b and c=182. So.

-\dfrac{b}{2a}=-\dfrac{b}{2(1)}=-\dfrac{b}{2}

Put x=-\dfrac{b}{2} in the given function to find the minimum value of the function.

f(-\dfrac{b}{2})=(-\dfrac{b}{2})^2+b(-\dfrac{b}{2})+182

We know that minimum value is 13. So,

13=\dfrac{b^2}{4}-\dfrac{b^2}{2}+182

13-182=-\dfrac{b^2}{4}

-169=-\dfrac{b^2}{4}

169\times 4=b^2

Taking square root on both sides.

13\times 2=b

b=26

The value of b is 26.

So, the given function is  

f(x)=x^2+26x+182

Now, add and subtract square of half of coefficient of x.

f(x)=x^2+26x+182+(13)^2-(13)^2

f(x)=(x^2+2(13)x+(13)^2)+182-169

f(x)=(x+13)^2+13

On comparing with f(x)=(x-h)^2+k, we get

h=-13

k=13

Therefore, your answer is incorrect.

8 0
3 years ago
15 POINT!!!!!!!!!!I NEED HELP IM FAILING
Katyanochek1 [597]
The equation is y=-3.
8 0
3 years ago
Read 2 more answers
GIVING BRAINLIEST Graph and solve the inequality y>-|x-5|-1
MakcuM [25]

Answer:

First, solve for two points as an equation instead of an inequality to find the boundary line for the inequality.

For:

x

=

0

y

=

0

+

5

y

=

5

Or

(

0

,

5

)

For:

x

=

−

2

y

=

−

2

+

5

y

=

3

Or

(

−

2

,

3

)

We can now plot the two points on the coordinate plane and draw a line through the points to mark the boundary of the inequality.

The boundary line will be solid because the inequality operator contains an "or equal to" clause.

graph{(x^2+(y-5)^2-0.125)((x+2)^2+(y-3)^2-0.125)(y-x-5)=0 [-20, 20, -10, 10]}

Now, we can shade the left side of the line.

graph{(y-x-5) >= 0 [-20, 20, -10, 10]}

6 0
3 years ago
Read 2 more answers
Draw and identify the coordinates of the image of the figure after a 180° rotation
sladkih [1.3K]

Answer:

Step-by-step explanation:

Q

5 0
3 years ago
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Angle C is inscribed in circle O AB is a diameter of O what is measure of A
TEA [102]

Answer:

A = 53 degree

90-37 = 53 degree

As the triangle is a right angle triangle we see complimentary to the other angles and as all angles in a triangle equal 180, we see the other two which compliment this.

Step-by-step explanation:

6 0
3 years ago
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