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Firlakuza [10]
2 years ago
9

14. Write a two-column proof.

Mathematics
1 answer:
scZoUnD [109]2 years ago
3 0

Given:

\bold{ 8x=4y-20} \\\\ \bold{ y=13}

Prove:

\bold{x=4}

Solution:

\to \bold{8x=4y-20}..........(i)\\\\\to \bold{ y=13}........................(ii)

Putting the value of equation (ii) into the equation (i):

\to \bold{8x=4(13)-20}\\\\\to \bold{8x=52-20}\\\\\to \bold{8x=32}\\\\\to \bold{x=\frac{32}{8}}\\\\\to \bold{x= 4}\\\\

putting the value x into the equation (i):

\to \bold{8(4)=4y-20}\\\\\to \bold{32=4y-20}\\\\\to \bold{32+20=4y}\\\\\to \bold{52=4y}\\\\\to \bold{y=\frac{54}{4}}\\\\\to \bold{ y= 13.5}

Therefore, the value of x= 4

Learn more:

brainly.com/question/6219408

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Step-by-step explanation:

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The quotient of a number y and 22
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3 years ago
Let a, n, b, r, and k be integers. If a = nb+r and k|a and k|b, then k|r
Kryger [21]

Answer:

Proof for k|r

Step-by-step explanation:

We are given that a, n, b, r and k are integers.

Also,

a = nb + r

Since k divides a and b, we can write,

a = rk and b = sk, where r and s are integers.

Now, we have to prove that k divides r as well that is k|r

Putting value of a and b in the equation, we get:

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Since, (r-sn) is an integer, k divides r.

5 0
3 years ago
There are 6 blades on each windmill. How many total blades are on 7 windmills? Use a five fact to solve
Serggg [28]

Answer:

42 Blades

Step-by-step explanation:

So 6 blades on each windmill

6=1 Windmill

so 7 windmills

so do

7 times 6 = 42 Blades

5 0
3 years ago
Read 2 more answers
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