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kogti [31]
2 years ago
10

Complete the equation. (4x)−2(4x)3(4x)9=(4x)

Mathematics
1 answer:
AVprozaik [17]2 years ago
8 0

Given:

Consider the given equation is

(4x)^{-2}(4x)^3(4x)^9=(4x)^?

To find:

The missing value in the given equation and complete the equation.

Solution:

We have,

(4x)^{-2}(4x)^3(4x)^9=(4x)^?

Taking LHS, we get

LHS=(4x)^{-2}(4x)^3(4x)^9

LHS=(4x)^{-2+3+9}          [\because a^ma^n=a^{m+n}]

LHS=(4x)^{10}

and,

RHS=(4x)^?

Let the missing value be k.

For each equation LHS=RHS.

(4x)^{10}=(4x)^{k}

10=k

Therefore, the missing value is 10 and the complete equation is (4x)^{-2}(4x)^3(4x)^9=(4x)^{10}.

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Plss view the image :((((((((((
topjm [15]

Answer:

f(x) = -8

Step-by-step explanation:

f(x) = x² + 2x – 8

f(x) = (-2)² + 2(-2) – 8

f(x) = (-2)² + 2(-2) – 8

f(x) = 4 + (-4) – 8

f(x) = 4 – 4 – 8

f(x) = 0 – 8

f(x) = -8

I hope this helps

8 0
2 years ago
3x+4y=24 ,4x+3y=22 simultaneous equations simultaneous equ
Vinvika [58]

Answer:

x=64

y=54

Step-by-step explanation:

3x+4y=24 4(24-4y\3)+3y=22

x=24-4y/3 96-12y\3+3y=22

x=24-4(54)/3

x=-64 96/3-22=3y/3

y=54

4 0
2 years ago
Solve 5x^2 - 7x + 2 = 0 by completing the square.
Reika [66]

Answer:  The correct option is (c) \dfrac{49}{100}.

Step-by-step explanation:  We are given to solve the following quadratic equation by the method of completing the square:

5x^2-7x+2=0~~~~~~~~~~~~~~~~~~~(i)

Also, we are to find the constant added on both sides to form the perfect square trinomial.

We have from equation (i) that

5x^2-7x+2=0\\\\\Rightarrow x^2-\dfrac{7}{5}x+\dfrac{2}{5}=0\\\\\\\Rightarrow x^2-2\times x\times \dfrac{7}{10}+\left(\dfrac{7}{10}\right)^2+\dfrac{2}{5}=\left(\dfrac{7}{10}\right)^2\\\\\\\Rightarrow \left(x-\dfrac{7}{10}\right)^2=\dfrac{49}{100}-\dfrac{2}{5}\\\\\\\Rightarrow  \left(x-\dfrac{7}{10}\right)^2=\dfrac{49-40}{100}\\\\\\\Rightarrow  \left(x-\dfrac{7}{10}\right)^2=\dfrac{9}{100}\\\\\\\Rightarrow x-\dfrac{7}{10}=\pm\dfrac{3}{10}\\\\\\\Rightarrow x=\pm\dfrac{3}{10}+\dfrac{7}{10}.

So,

x=\dfrac{3}{10}+\dfrac{7}{10},~~~~~~~~x=-\dfrac{3}{10}+\dfrac{7}{10}\\\\\\\Rightarrow x=\dfrac{10}{10},~~~~~~~~\Rightarrow x=\dfrac{-3+7}{10}\\\\\\\Rightarrow x=1,~-\dfrac{2}{5}.

Thus, the required solution is x=1,~-\dfrac{2}{5}. and the value of the constant added is \dfrac{49}{100}.

Option (c) is correct.

3 0
2 years ago
How can a translation and a reflection be used to map ΔHJK to ΔLMN? Translate K to N and reflect across the line containing HJ.
Svet_ta [14]

Answer:

<u>Translate K to N and reflect across the line containing JK. </u>

Step-by-step explanation:

The rest of the question is the attached figure.

From the figure, we can deduce the following:

∠K = ∠N

JK = MN

HK = LN

So, N will be the image of K

By translating K to N, The segment JK will over-lap the segment MN,

Then, we need to reflect the point H across the the line containing JK to get the point L

So, the translation and a reflection that will be used to map ΔHJK to ΔLMN:

<u>Translate K to N and reflect across the line containing JK. </u>

3 0
3 years ago
Read 2 more answers
Larry is a locavore,which means he tries to only eat food produced within 200 miles of his home. Which inequality represents the
katovenus [111]

Answer:

d>200

Step-by-step explanation:

if the distance (d) is greater (>) than 200 then he will not eat it.

Hope this helps <3

5 0
3 years ago
Read 2 more answers
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