Using the distributive property,what if the result? 17(11+21)=

Mathematics

2 answers:

Kobotan [32]3 years ago

8 0

Answer:

17 * 11 + 17 * 21

Step-by-step explanation:

galina1969 [7]3 years ago

7 0

Answer:

The answer is 544. The distributive property is a property that basically says that any number outside the parenthesis can be multiplied and distributed between all other numbers in the parentheses.

Step-by-step explanation:

17(11+21) = [This is the given equation]

17*11 + 17*21 [I used the distributive property]

187+357 [I used a calculator for the sake of time, but I suggest when double digit multiplying, do it by paper.]

= 544 [The answer is 544.]

The distributive property is a property that basically says that any number outside the parenthesis can be multiplied and distributed between all other numbers in the parentheses. An example is w(x+y+z). w(x+y+z) can also be simplified to (wx+wy+wz) because w is being distributed between all variables in the parenthesis. You can also get rid of parenthesis after simplifying.

The distributive property is also used when doing 'F.O.I.L'.

Hope I helped!

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Can some one please help me will give 94 points for it

NNADVOKAT [17]

You can solve this by using "similar triangles".

In triangle ABC, we are looking for side AC which is x. Side AC is similar to side DF in triangle EDF.

You can solve for side x by picking two sides in triangle ABC and their corresponding sides in triangle EDF. This is what I mean:
$\frac{AC}{BC} = \frac{DF}{EF}$
Substitute for the values of AC, BC, DF and EF:
$\frac{x}{4} = \frac{11}{8} \\ \\ 8x = 4 \times 11 \\ \\ x = \frac{44}{8}$
$x = 5.5 \: units$
To solve for y, do the same thing. Pick two sides on triangle ABC and their corresponding sides in triangle DEF.
$\frac{AB}{BC} = \frac{DE}{EF}$
Substitute for the values and solve:
$\frac{3}{4} = \frac{y}{8}$
$4y = 24 \\ \\ y = 6 \: units$

We have the value x to be 5.5 units and y to be 6 units.