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k0ka [10]
3 years ago
14

Use the elimination method to solve the system of equations. Choose the correct ordered pair. 4x + 8y = 16 4x - 8y = 0 A. (4, 2)

B. (2, 4) C. (2, 1) D. (4, 0)
Mathematics
1 answer:
balu736 [363]3 years ago
7 0
Adding both equations cancels y:

<span>4x + 8y = 16 
</span><span>4x - 8y = 0 
-----------------+
8x = 16 => x=2

filling in x=2 in the first equation gives:

4*2 + 8y = 16 => 8y = 8 => y=1

So (2,1) is the (x,y) pair that solves the two equations. Answer C.</span>
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Plz Help I would appreciate it!!!
andrew-mc [135]

Answer:

a) Similar triangles are triangles with the same shape but not necessarily the same size

b) 15/45 = 8/x

1/3 = 8/x (simplify the 15/45)

x = 8 * 3 (cross multiplication)

x = 24

c) y^2 = 15^2 + 8^2 (Pythagoras theorem)

y = *square root of* 15^2 + 8^2

y = 17

1/3 = 17/z

z = 17 * 3 (cross multiplication)

z = 51

6 0
3 years ago
Complete the equation.<br> 5x + 5.2<br> 10.0
skad [1K]
I do t think it’s right so far but x=1.04
8 0
3 years ago
I need help working this out
Leona [35]

I think in this situation the best method would be a guess and check. You know that there are 8 dimes more than there are nickels. So just keep increasing each number by one until you reach $1.40. If there were 9 dimes and 1 nickels it would add up to $0.95. If there were 10 dimes and 2 nickels, it would add up to $1.10. If there were 11 dimes and 3 nickels, it would add up to $1.25. If there were 12 dimes and 4 nickels, it would add up to $1.40. So your answer is 12 dimes and 4 nickels.

I hope this helped!

8 0
2 years ago
Read 2 more answers
PPPLLLZZZ HELP I'LL GIVE BRAINLIEST
kati45 [8]

Allen's work is not written properly so I have rearranged it as shown below:


Original problem) –8.3 + 9.2 – 4.4 + 3.7.

Step 1) −8.3 + 9.2 + 4.4 + 3.7 Additive inverse

Step 2) −8.3 + 4.4 + 9.2 + 3.7 Commutative property

Step 3) −8.3 + (4.4 + 9.2 + 3.7) Associative property

Step 4) −8.3 + 17.3


We can see that in step 1), Allen changed -4.4 into +4.4 using additive inverse. Notice that we are simplifying not eliminating -4.4 as we do in solving some equation. Hence using additive inverse is the wrong step.


Alen should have collect negative numbers together and positive numbers together.

Add the respective numbers then proceed to get the answer.


–8.3 + 9.2 – 4.4 + 3.7

= –8.3 – 4.4 + 9.2 + 3.7

= -12.7 + 12.9

= 0.2



6 0
3 years ago
Read 2 more answers
Help with 5b please . thank you.​
Allushta [10]

Answer:

See explanation

Step-by-step explanation:

We are given f(x)=ln(1+x)-x+(1/2)x^2.

We are first ask to differentiate this.

We will need chain rule for first term and power rule for all three terms.

f'(x)=(1+x)'/(1+x)-(1)+(1/2)×2x

f'(x)=(0+1)/(1+x)-(1)+x

f'(x)=1/(1+x)-(1)+x

We are then ask to prove if x is positive then f is positive.

I'm thinking they want us to use the derivative part in our answer.

Let's look at the critical numbers.

f' is undefined at x=-1 and it also makes f undefined.

Let's see if we can find when expression is 0.

1/(1+x)-(1)+x=0

Find common denominator:

1/(1+x)-(1+x)/(1+x)+x(1+x)/(1+x)=0

(1-1-x+x+x^2)/(1+x)=0

A fraction can only be zero when it's numerator is.

Simplify numerator equal 0:

x^2=0

This happens at x=0.

This means the expression,f, is increasing or decreasing after x=0. Let's found out what's happening there. f'(1)=1/(1+1)-(1)+1=1/2 which means after x=0, f is increasing since f'>0 after x=0.

So we should see increasing values of f when we up the value for x after 0.

Plugging in 0 gives: f(0)=ln(1+0)-0+(1/2)0^2=0.

So any value f, after this x=0, should be higher than 0 since f(0)=0 and f' told us f in increasing after x equals 0.

8 0
2 years ago
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