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3 years ago

In the given figure alongside,prove that

Mathematics

1 answer:

iren2701 [21]3 years ago

4 0

Answer:

let's use Pythagoras theorem,

h²=b²+l²

so,

ad²=ac²+dc²

6²=ac²+3²

36-9=ac²=27

√27 can be written as 3√3,

hence ac= 3√3

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Evaluate the expression 5xy+ -2xy+y^2 when x=4 and y=-5

Mariulka [41]

Answer:

-35

Step-by-step explanation:

5(4)(-5) + -2(4)(-5) + (-5)²

= -100 + 40 + 25

= -35

7 0

3 years ago

Read 2 more answers

Find the volume of the cylinder to the nearest tenth

ruslelena [56]

Answer:

1131 m^3

Step-by-step explanation:

Formula is π r^2h

then substitute the values r=6,h=10

1130.97

then round the number by nearest tenth.

which is 1131.

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3 years ago

A.)List the 4 steps outlined in the lesson on solving equations. (1 points)

melomori [17]

For this case we must solve the following equations:

$5x + 7 = 3x + 21$

We subtract 3x on both sides of the equation:

$5x-3x + 7 = 21$

We subtract 7 on both sides of the equation:

$5x-3x + 21-72x = 14$

We divide between 2 on both sides of the equation:

$x = \frac {14} {2}\\x = 7$

The second equation is:

$3x-2 (5-x) = - 3 (x-10) + 3x$

We apply distributive property to the terms of parentheses:

$3x-10 + 2x = -3x + 30 + 3x$

We add common terms:

$5x-10 = 30$

We add 10 to both sides of the equation:

$5x = 30 + 10\\5x = 40$

We divide between 5 on both sides of the equation:

$x = \frac {40} {5}\\x = 8$

Third equation:

$5 (x + 1) = 3 (2x + 3) +5$

We apply distributive property to the terms within parentheses:

$5x + 5 = 6x + 9 + 5$

We add similar terms:

$5x + 5 = 6x + 14$

We subtract 6x on both sides of the equation:

$5x-6x + 5 = 14$

We subtract 5 on both sides of the equation:

$-x = 14-5\\-x = 9\\x = -9$

Answer:

$x = 7\\x = 8\\x = -9$

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3 years ago

Write 7 23/100 as a decimal

Dovator [93]

Decimal Answer: 7.23

Step-by-step explanation: 7+23/100 = 7.23

If I Helped, Please Mark Me As Brainliest, Have A Great Day :D

7 0

3 years ago

If the function y = 3x + 2 is translated 5 units up, which equation will best describe the new line?

svetoff [14.1K]

Y=3x+7
this equation is in slope- intercept form (y=mx+b), so to translate up or down you add or subtract however many units you are translating to the b of the equation.

4 0

3 years ago