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sertanlavr [38]

3 years ago

7

Give brainlest on time limit pls help

1 answer:

inysia [295]3 years ago

8 0

Answer:

336 sq un

Step-by-step explanation:

The area of a rhombus is pq/2 where p and q are the diagonals.

you have:

p = 12 + 12 = 24

q = 18 + 10 = 28

so the formula would be:

24 * 28 / 2 = 336 sq un

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The graphically and algebraically

sertanlavr [38]

Graphically is intersect i believe

6 0

2 years ago

Intersection point of Y=logx and y=1/2log(x+1)

GalinKa [24]

Answer:

The intersection is $(\frac{1+\sqrt{5}}{2},\log(\frac{1+\sqrt{5}}{2})$ .

The Problem:

What is the intersection point of $y=\log(x)$ and $y=\frac{1}{2}\log(x+1)$ ?

Step-by-step explanation:

To find the intersection of $y=\log(x)$ and $y=\frac{1}{2}\log(x+1)$ , we will need to find when they have a common point; when their $x$ and $y$ are the same.

Let's start with setting the $y$ 's equal to find those $x$ 's for which the $y$ 's are the same.

$\log(x)=\frac{1}{2}\log(x+1)$

By power rule:

$\log(x)=\log((x+1)^\frac{1}{2})$

Since $\log(u)=\log(v)$ implies $u=v$ :

$x=(x+1)^\frac{1}{2}$

Squaring both sides to get rid of the fraction exponent:

$x^2=x+1$

This is a quadratic equation.

Subtract $(x+1)$ on both sides:

$x^2-(x+1)=0$

$x^2-x-1=0$

Comparing this to $ax^2+bx+c=0$ we see the following:

$a=1$

$b=-1$

$c=-1$

Let's plug them into the quadratic formula:

$x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$

$x=\frac{1 \pm \sqrt{(-1)^2-4(1)(-1)}}{2(1)}$

$x=\frac{1 \pm \sqrt{1+4}}{2}$

$x=\frac{1 \pm \sqrt{5}}{2}$

So we have the solutions to the quadratic equation are:

$x=\frac{1+\sqrt{5}}{2}$ or $x=\frac{1-\sqrt{5}}{2}$ .

The second solution definitely gives at least one of the logarithm equation problems.

Example: $\log(x)$ has problems when $x \le 0$ and so the second solution is a problem.

So the $x$ where the equations intersect is at $x=\frac{1+\sqrt{5}}{2}$ .

Let's find the $y$ -coordinate.

You may use either equation.

I choose $y=\log(x)$ .

$y=\log(\frac{1+\sqrt{5}}{2})$

The intersection is $(\frac{1+\sqrt{5}}{2},\log(\frac{1+\sqrt{5}}{2})$ .

6 0

3 years ago

How old is a dog when they are 40 in human years?

Scorpion4ik [409]

Answer:

280 years old

Step-by-step explanation:

to determine a dog's age in dog or human years, you divide or multiply by 7

40x7=280 years

4 0

4 years ago

What is the value of k when the expression 3(7 + x) is equivalent 3(x + k)

Free_Kalibri [48]

Answer:7

Step-by-step explanation:

8 0

3 years ago

IS 10×1000 a multiplication fact?

Tanya [424]

Yes if u can multiply 10 by 1000 then it is a multiplication fact

4 0

4 years ago

Read 2 more answers