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4 years ago

Can any body help with the word problems

Mathematics

1 answer:

Georgia [21]4 years ago

6 0

Answer:

1) 8x - 9

2) 5x - 2

Step-by-step explanation:

1) Given 8 times the difference between a number x and 9.

This means we should have: $8(x - 9)$

Now using the distributive property we distribute 8 to x and 9 like:

$8x - 72$ . Thus the answer.

For 2) All the expressions except 4 equals $5x - 10$ . The last option is $5x - 2$ . Thus the answer.

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What is the answer to this?

amm1812

Answer:

solution,

BC=8.4 cm

AB=12 cm

BD=4.1 cm

We have to find out: AC ,CD

using Pythagoras theorem:

In ∆ABC ,<B=90°

${(ac)}^{2} = {(ab)}^{2} + {(bc)}^{2} \\ {(ac)}^{2} = {(12)}^{2} + {(8.4)}^{2} \\ {(ac)}^{2} = 144 + 70.56 \\ {(ac)}^{2} = 214.56 \\ ac = \sqrt{214.56} \\ ac = 14.64 \: cm$

Similarly,

In ∆BCD, CB=90

$cd = \sqrt{ {(8.4)}^{2} + {(4.1)}^{2} }$

$= \sqrt{70.56 + 16.81} \\ = \sqrt{87.37} \\ = 9.34 \: cm$

Perimeter:

AC+CD+AD

=14.64+9.34+(12+4.1)

=40.08

= 40.1 cm

Hope this helps...

Good luck on your assignment..

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4 years ago

ASAP Please! :)

Bess [88]

According to the Ti 83:

MAD for Dataset 2 is 1.4444

And the ratio is 5/4

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3 years ago

Please help me with this as well

Len [333]

Answer:

$y = \dfrac{3 + 6\sqrt{2}}{4} ~~~\textrm{and}~~~y = \dfrac{3 - 6\sqrt{2}}{4}$

Step-by-step explanation:

$(4y - 3)^2 = 72$

$4y - 3 = \pm\sqrt{72}$

$4y - 3 = \pm 6\sqrt{2}$

$4y = 3 \pm 6\sqrt{2}$

$y = \dfrac{3 + 6\sqrt{2}}{4}~~~\textrm{or}~~~y = \dfrac{3 - 6\sqrt{2}}{4}$

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