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SpyIntel [72]
2 years ago
7

Which equation shows the CORRECT use of the Distributive Property

Mathematics
2 answers:
guajiro [1.7K]2 years ago
7 0

Hey there!

4(2x - 12) = -15

DISTRIBUTE 4 to BOTH SIDES

4(2x) + 4(-12) = -15

NEW EQUATION: 8x - 48 = -15

Your answer is: 8x - 48 = -15

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Paraphin [41]2 years ago
4 0

Answer:

Number 2

Step-by-step explanation:

4*2x=8x

4*-12=-48

so

8x-48=-15

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Given: PS=RT, PQ=ST<br> Prove: QS=RS
ivanzaharov [21]

Answer:

I) Eq(1) reason: sum of segments of a straight line

II) Eq(2) reason: Given PQ = ST & PS = RT

III) Eq(3) reason: sum of segments of a straight line

IV) Eq(4) reason: Same value on right hand sides of eq(2) and eq(3) demands that we must equate their respective left hand sides

V) Eq(5) reason: Usage of collection of like terms and subtraction provided this equation.

Step-by-step explanation:

We are given that;

PS = RT and that PQ = ST

Now, we want to prove that QS = RS.

From the diagram, we can see that from concept of sum of segments of a straight line we can deduce that;

PQ + QS = PS - - - - (eq 1)

Now, from earlier we saw that PQ = ST & PS = RT

Thus putting ST for PQ & PS for RT in eq 1,we have;

ST + QS = RT - - - - (eq 2)

Again, from the line diagram, we can see that from concept of sum of segments of a straight line we can deduce that;

RS + ST = RT - - - - -(eq 3)

From eq(2) & eq(3) we can see that both left hand sides is equal to RT.

Thus, we can equate both left hand sides with each other to give;

ST + QS = RS + ST - - - (eq 4)

Subtracting ST from both sides gives;

ST - ST + QS = RS + ST - ST

This gives;

QS = RS - - - - (eq 5)

Thus;

QS = RS

Proved

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2 years ago
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Step-by-step explanation:

I just know. I studied constant of proportionality for a loooong time! if its wrong tell me.

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