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3 years ago

Work out the following questions

Mathematics

1 answer:

Basile [38]3 years ago

6 0

Answer: The first one is 2 2/3 and the second one is 10 1/2

Step-by-step explanation: So 2/3 divided by 1/4. First you would do keep, change, flip. Then that would give you 2/3 times 4/1. 2/3 times 4/1 would be 8/3 which can be simplified to 2 2/3. The second one 7 divided by 2/3. Again do keep, change, flip. 7 times 3/2. This would give you 21/2 when you simplify you get 10 1/2.

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This year, jake is 5 years older than his sister. Three years ago, jake was twice his sisters age. How old is jakes sister now?

ruslelena [56]

you don't have enough info, we need to know how old he was when he was twice her age, or how old she was

6 0

3 years ago

Identify the center and the radius of each.<br><br> x^+y^+26x-22y+281=0

inessss [21]

Answer:

Center (-13,11) , radius 3

Step-by-step explanation:

The given circle has equation

$x^2+y^2+26x-22y+281=0$

We compare this to the general equation.

$x^2+y^2+2ax+2by+c=0$

where (-a,-b) is the center.

This implies that;

2a=26

$\Rightarrow a=13$

2b=-22

b=-11

The center is therefore (-13,11)

The radius is given by

$r=\sqrt{a^2+b^2-c}$

$r=\sqrt{13^2+(-11)^2-281}$

$r=\sqrt{9}$

The radius is 3

3 0

3 years ago

Which equation has the solutions x = -3 ± √3i/2 ?

Maurinko [17]

Answer:Answer is option C : [ $x^{2}$ + 3x + 3 ] =0

Note: None of options matches with given question.

instead of "-3" , there should be "- $\frac{3}{2}$ ".

Step-by-step explanation:

Note: None of options matches with given question.

instead of "-3" , there should be " $\frac{3}{2}$ ".

Here, First thing you have to observe the nature of roots.

∴ x = - $\frac{3}{2}$ + $\frac{\sqrt{3}}{2}$ i and x = - $\frac{3}{2}$ - $\frac{\sqrt{3}}{2}$

∴ [ x+( $\frac{3}{2}$ - $\frac{\sqrt{3}}{2}$ i) ][ x+( $\frac{3}{2}$ + $\frac{\sqrt{3}}{2}$ i) ]=0

∴ [ $x^{2}$ + x( $\frac{3}{2}$ + $\frac{\sqrt{3}}{2}$ i)+ x( $\frac{3}{2}$ - $\frac{\sqrt{3}}{2}$ i) + ( $\frac{3}{2}$ - $\frac{\sqrt{3}}{2}$ i)( $\frac{3}{2}$ + $\frac{\sqrt{3}}{2}$ i) ]=0

∴ [ $x^{2}$ + $\frac{3}{2}$ x + $\frac{\sqrt{3}}{2}$ ix + $\frac{3}{2}$ x - $\frac{\sqrt{3}}{2}$ ix + (3- $\frac{\sqrt{3}}{2}$ i)(3+ $\frac{\sqrt{3}}{2}$ i) ] =0

∴ [ $x^{2}$ + 3x + ( $\frac{3}{2}$ - $\frac{\sqrt{3}}{2}$ i)( $\frac{3}{2}$ + $\frac{\sqrt{3}}{2}$ i) ] =0

∴ [ $x^{2}$ + 3x + $\frac{9}{4}$ - ( $\frac{\sqrt{3}}{2}$ i)( $\frac{\sqrt{3}}{2}$ i) ] =0

∴ [ $x^{2}$ + 3x + $\frac{9}{4}$ - ( $\frac{3}{4}$ ) $i^{2}$ ] =0

∴ [ $x^{2}$ + 3x + $\frac{9}{4}$ + ( $\frac{3}{4}$ ) ] =0

∴ [ $x^{2}$ + 3x + $\frac{12}{4}$ ] =0

∴ [ $x^{2}$ + 3x + 3 ] =0

Thus, Answer is option C : <em>[ $x^{2}$ + 3x + 3 ] =0 </em>

6 0

4 years ago

25/7 as a mixed number

Aleks [24]

3 and four sevenths bcs 25divided by seven is 3r4

7 0

3 years ago

Read 2 more answers

Sean, a freelance editor, charges the rates shown in the table below to edit manuscripts. The cost per page increases as the qua

Gnom [1K]

85c - 0.5(85c) = 161.5
85c - 4.25c = 161.5
80.75c = 161.5
c = 161.5 / 80.75
c = 2............so she needs express proofreading
==================
x - 3 < -7 x + 5 > = 8
x < -7 + 3 x > = 8 - 5
x < -4 x > = 3

open circle on -4, shading to the left....closed circle on 3, shading to the right

7 0

3 years ago

Work out the following questions ​

Work out the following questions