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4 years ago

Two planes intersect in a ? point, line,line segment, or ray

Mathematics

1 answer:

denis-greek [22]4 years ago

6 0

Two planes intersect at a Line.

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50 men working 10 hours daily can complete a job in

Sliva [168]

<h2>Given :-</h2>

50 men do 10 hours work daily complete work in 20 days

80 men do job in 50% time

Days required

<h2>Solution :-</h2>

1 man may do job in (50 × 20) days =
1 man may do job in 1000 days

Now,

80 man = 1000/80 = 12.5

Now,

When hours reduced 50% then we will multiply days by 2
Total days = 12.5 × 2 = 25 days.

<h2>Hence</h2>

Option C is correct

$\begin{gathered} \\ \end{gathered}$

8 0

3 years ago

Log(x-2)+log2=2logy<br>log(x-3y+3)=0

In-s [12.5K]

Answer:

Step-by-step explanation:

$\left\{\begin{array}{ccc}\log(x-2)+\log2=2\log y&(1)\\\log(x-3y+3)=0&(2)\end{array}\right$

$===========================\\\text{DOMAIN:}\\\\x-2>0\to x>2\\y>0\\x-3y+3>0\to x-3y>-3\\=====================\\\\\text{We know:}\ \log_ab=c\iff a^c=b,\\\\\text{therefore}\ \log_ab=0\iff a^0=b\to b=1\\\\\text{From this we have}\\\\\log(x-3y+3)=0\iff x-3y+3=1\qquad\text{add}\ 3y\ \text{to both sides}\\\\x+3=3y+1\qquad\text{subtract 3 from both isdes}\\\\\boxed{x=3y-2}\qquad(*)\\\\\text{Substitute it to (1)}$

$\log(3y-2-2)+\log2=2\log(y)\qquad\text{use}\ \log_ab^n=n\log_ab\\\\\log(3y-4)+\log2=\log(y^2)\qquad\text{subtract}\ \log(y^2)\ \text{from both sides}\\\\\log(3y-4)+\log2-\log(y^2)=0\\\\\text{Use}\ \log_ab+\log_ac=\log_a(bc)\ \text{and}\ \log_ab-\log_ac=\log_a\dfrac{b}{c}\\\\\log\dfrac{(3y-4)(2)}{y^2}=0\qquad\text{use}\ \log_ab=0\Rightarrow b=1\\\\\dfrac{(3y-4)(2)}{y^2}=1\iff y^2=(3y-4)(2)\\\\\text{Use the distributive property}\ a(b+c)=ab+ac$

$y^2=(3y)(2)+(-4)(2)\\\\y^2=6y-8\qquad\text{subtract}\ 6y\ \text{from both sides}\\\\y^2-6y=-8\qquad\text{add 8 to both sides}\\\\y^2-6y+8=0\\\\y^2-2y-4y+8=0\\\\y(y-2)-4(y-2)=0\\\\(y-2)(y-4)=0\iff y-2=0\ \vee\ y-4=0\\\\\boxed{y=2\ \vee\ y=4}\in D$

$\text{Put the values of}\ y\ \text{to }\ (*):\\\\\text{for}\ y=2:\\\\x=3(2)-2\\\\x=6-2\\\\\boxed{x=4}\in D\\\\\text{for}\ y=4:\\\\x=3(4)-2\\\\x=12-2\\\\\boxed{x=10}\in D$

4 0

3 years ago

Help .....................

seraphim [82]

Answer:

1. 8 is bigger

2. -9 is bigger

3. 12 is bigger

Step-by-step explanation:

4 0

3 years ago

What value does the 1 in the number 4,105.8

kirill115 [55]

Answer:

hundreds

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

On Monday, Gina ran 1 mile in 9.3 minutes. Her times for

Marta_Voda [28]

Answer:

In order, they would be:

-4.45 min, -1.8 min, -(1 + 2/3) min, -1.375 min

Step-by-step explanation:

Enjoy :)

3 0

3 years ago