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Svetlanka [38]
3 years ago
5

PLEASE HELP ME!!!!!!!!!! MUST SHOW ALL WORK

Mathematics
1 answer:
vekshin13 years ago
7 0
Do it by splitting middle term.
Then you will be able to get factors . You can learn how to split middle term by searching videos on you tube or any site.
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4√3 − 5√7 + 2√3 + 6√7
neonofarm [45]

Answer:

\dashrightarrow \: { \tt{4 \sqrt{3}  - 5 \sqrt{7}  + 2 \sqrt{3} + 6 \sqrt{7}  }} \\  \\  \dashrightarrow \: { \tt{(4 - 2) \sqrt{3}  + (6 - 5) \sqrt{7} }} \\  \\  \dashrightarrow \: { \tt{2 \sqrt{3} +  \sqrt{7}  }} \\  \\  \dashrightarrow \: { \tt{ \sqrt{3 \times 4}  +  \sqrt{7} }} \\  \\   \dashrightarrow \: { \tt{ \sqrt{12}  +  \sqrt{7} }}

3 0
2 years ago
Read 2 more answers
A 25-foot ladder is placed against a building. The bottom of the ladder is 7 feet from the building. If the top of the ladder sl
algol [13]

Answer:

As per the statement:

A 25-foot ladder is placed against a building. The bottom of the ladder is 7 feet from the building.

⇒Length of the ladder against a building = 25 foot

and Length of the bottom of the ladder from the building= 7 feet.

You had Before the slip.

Let x be the height of the building where ladder hits the building

By Pythagoras theorem:

\text{Hypotenuse side}^2=\text{Perpendicular}^2+\text{Base}^2

Here, Perpendicular side = Height of the building = x ,  Base = Length of the bottom of the ladder from the building = 7 foot and Hypotenuse side = 25 foot

Substitute the value to solve for x;

25^2=x^2+7^2

625=x^2+49

or

x^2 = 625-49 = 576

x = \sqrt{576} = 24 foot.

⇒Height of the building = 24 foot

Now, if the ladder slips down 4 feet.

You had after slip

⇒Now, the height of the building becomes = 24-4 = 20 foot.

Let y be the distance from the building wall

then by Pythagoras theorem;

y^2+20^2 = 25^2

y^2+400 =625

y^2 = 625-400 = 225

y=\sqrt{225} = 15 foot.

We have to find how many feet will the bottom slide out.

Since, Originally the distance of the bottom from the building = 7 foot

And now, the distance is = 15 foot.

The bottom slide out will be = 15 - 7 =8 foot

Therefore, 8 feet will the bottom slide out

6 0
3 years ago
Given that √5 = 2.24 and √50= 7.07 , find <br> √500 and √0.5
sineoko [7]

Answer:

see explanation

Step-by-step explanation:

using the rules of radicals

\sqrt{a} × \sqrt{b} ⇔ \sqrt{ab}

\sqrt{\frac{a}{b} } ⇔ \frac{\sqrt{a} }{\sqrt{b} }

then

\sqrt{500}

= \sqrt{100(5)}

= \sqrt{100} × \sqrt{5}

= 10 × 2.24

= 22.4

-------------------------------

\sqrt{0.5}

= \sqrt{\frac{50}{100} }

= \frac{\sqrt{50} }{\sqrt{100} }

= \frac{\sqrt{50} }{10}

= \frac{7.07}{10}

= 0.707

3 0
2 years ago
What is an equation of the line that is perpendicular to y=-3/4x+6 and passes through the point (3,9)
goldenfox [79]

Answer:

y=\frac{4}{3}x+5

Step-by-step explanation:

The line y= -3/4+6 in the comments has slope -3/4. A perpendicular line will have the negative reciprocal of -3/4. It's 4/3.

To write the equation, substitute 4/3 and the point (3,9) into

y-y_1 = m(x-x_1)

y-9=\frac{4}{3}(x-3)\\\\y-9=\frac{4}{3}x -\frac{4*3}{3}\\\\y-9=\frac{4}{3}x-4\\\\y=\frac{4}{3}x+5

5 0
3 years ago
-12÷3×(-8 +(-4)^2 -6)+2<br><br>Please explain in detail.
laiz [17]

-12 ÷ 3 ×(-8 + (-4)^2 -6)+2

Order of operations (PEMDAS)

= -4 × (-8 + 16 - 6) + 2

= -4 × 2 + 2

= -8 + 2

= -6

Answer

-6

6 0
3 years ago
Read 2 more answers
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