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3 years ago

11

Find the value of given expression

D%20" id="TexFormula1" title=" \sqrt{ \frac{72}{2} } " alt=" \sqrt{ \frac{72}{2} } " align="absmiddle" class="latex-formula">

2 answers:

ArbitrLikvidat [17]3 years ago

7 0

Answer:

6

Step-by-step explanation:

$\sqrt{72 \div 2}$

$\sqrt{2 \times 2 \times 2 \times 3 \times 3 \div 2}$

$6 \sqrt{2 \div 2}$

$6 \sqrt{1}$

$6$

pishuonlain [190]3 years ago

3 0

Answer:

36

Hope it helps...

Have a great day :P

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2. Given the equation of a circle in standard form, identify the center, radius, and graph the circle.

Varvara68 [4.7K]

Answer:

Center: ( -1 , 2 )

Radius: 6

Step-by-step explanation:

The equation for a circle is given as follow:

$(x-h)^{2} +(y-k)^{2} =r^{2}$

Where,

the Center is: ( h , k ) (note that the signs of the number are different)

and the radius is: r

So if we compare the original circle equation to the equation in the question we can see that:

$(x+1)^{2} +(y-2)^{2} =36$

the Center is: (-1,2)

and the radius is: $\sqrt{36}$ = 6

2. To draw the graph find points that lay on the circle, it's better to take the values of x and y from the Center:

first sub y=2 in the equation to find the values for x:

$(x+1)^{2} +(y-2)^{2} =36$

$(x+1)^{2} +(2-2)^{2} =36$

$(x+1)^{2} +(0)^{2} =36$

$(x+1)^{2} =36$

$x+1 =±\sqrt{36}$

$x=6-1$ AND $x=-6-1$

$x=5$ AND $x=-7$

The points are A(5,2) and B(-7,2)

second sub x= -1 in the equation to find the values for y:

$(x+1)^{2} +(y-2)^{2} =36$

$(-1+1)^{2} +(y-2)^{2} =36$

$(0)^{2} +(y-2)^{2} =36$

$(y-2)^{2} =36$

$y-2=±\sqrt{36}$

$y=6+2$ AND $y=-6+2$

$y=8$ AND $y=-4$

The points are D(-1,8) and E(-1,-4)

After finding the points write them in the graph and match them together to get the like the circle in the picture below:

8 0

3 years ago

Together Abel and Bob have 49 video games. Abel has 11 more video games than Bob. How many games does each person have.

DiKsa [7]

Answer:

Abel has 30

Bob has 19

Step-by-step explanation:

Abel = a

Bob = b

a + b = 49

a = b + 11

Substitute:

2b + 11 = 49

2b = 38

b = 19

a = 30

7 0

3 years ago

Fill in the numbers for each hashmark: -10, 2, -5, 13 then plot it. help

Darya [45]

So all your doing is plotting the points, for example find 0 then count forward twice- u will plot and label it their. Its the same process for each number. (ps if its negative go backwards)

6 0

3 years ago

100^m ÷ 1000^n can be written in the form 10^z. Express z in terms of m and n

Kitty [74]

100m ÷ 1000n

(102)m ÷ (103)n

102m ÷ 103m

10-m

4 0

3 years ago

Read 2 more answers

A ditch contains 10 centimeters of water. Rainwater accumulates in the ditch as follows: 10 centimeters of water by the end of t

kondaur [170]

Firstly, let's create a function of f(t) where t represents the time that has past, and f(t) represents the amount of rainwater. We know that when t=1, then f(t)=10, and t=2 then f(t)=15. So, let's take that and analyze it:

(1,10)
(2,15)
m = (15-10)/(2-1) = 5
y-intercept = 5
∴ f(t) = 5t+5

Now we just evaluate t for 10:

f(10) = (5*10)+5
f(10) = 55

3 0

3 years ago