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3 years ago

Explain why 3(5x) does not equal to (3 times 5)(3times x)

Mathematics

1 answer:

Anit [1.1K]3 years ago

7 0

Answer:

Because 3(5x) is the same as 3 *5 * x

Step-by-step explanation:

When a number is next to another in parantheses, it signifies multiplication. In this case, we already have 5 and x grouped together by a multiplication sign, so the entire thing is 5 * x. The statement below is key

Distribution in multiplication is only possible if a variable is grouped to another real number by a plus or minus sign.

So in this case, we have 3 * 5 * x, which is 15x. However, if we had 3(5 + x), we would have 15 (3 * 5) + 3x (3 * x).

Hopefully that makes sense!

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Diano4ka-milaya [45]

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Step-by-step explanation:

Remark

If the figures are similar then this is a proportion question. A proportion is 2 equation ratios. The ratios can have at most 1 unknown.

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DC = 7

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3 years ago

an isosceles triangle ABC where AB=BC.the line BD is perpendicular to the line AC.given that the gradient of line AC=-2/3.find c

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To find the coordinate of A you can first determine the coordinate of D and apply the midpoint rule.

And to find the coordinates of D you must solve equations of AC and BD simultaneously.

AC has equation

$y=-\frac{2}{3} x+ \frac{20}{3}$

Or

$3y+2x=20 --(1)$

BD has equation

$y= \frac{3}{2}x -2$

Or

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Putting the value of x=4 in equation (4) gives

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This implies that

$6y-36=-12$

$6y=36-12$

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Solving the equations of AC and BD simultaneously give the coordinates of D to be;

$x= 4,y=4$

Let

$A(m,n)$ be the coordinates.

Since D is the midpoint of AC

$\frac{m+10}{2}=4$

and

$\frac{n+0}{2}=4$

Solving for m and n, we have

$m=4×2-10=-2$

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$n=4×2=8$

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[tex] (-2,8)/tex]

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