ANSWER SOON PLASE!! need to pass class. The equation of a parabola is 1/16(y+3)^2=x+4. What are the coordinates of the focus?

|x-1| if x>1<br> how do you simplify this

JulsSmile [24]

Use the definition of absolute value.

$|x| = \begin{cases} x & \text{if } x \ge0 \\ -x & \text{if } x < 0 \end{cases}$

The absolute value is always non-negative. So if $x$ is already non-negative, $|x|=x$ is unchanged. But if $x$ is negative, then $|x|=-x$ because multiplying $x$ by -1 makes it positive.

Now, if $x>1$ , then by the definition of absolute value,

$x > 1 \implies x - 1 > 0 \implies \boxed{|x - 1| = x - 1}$

4 0

1 year ago

If log (m + n) = log m+log n, show that m =n/n-1

Sedbober [7]

log (m + n) = log m+ log n and proved it m =n/n-1

Given;

If log (m + n) = log m+ log n

To show that the m =n/n-1

Now, According to the question:

We know that,

Log (m + n) = log m + log n

Log (m + n ) = log (mn). [log a + log b = log ab ]

Cancelling the log on both sides.

then,

m + n = mn

=> n = mn - m

=> n = m (n - 1)

=> m = n / n - 1

Hence Proved

log (m + n) = log m+ log n and proved it m =n/n-1

What is Logarithm?

A logarithm is the power to which a number must be raised in order to get some other number (see Section 3 of this Math Review for more about exponents). For example, the base ten logarithm of 100 is 2, because ten raised to the power of two is 100: log 100 = 2.

Learn more about Logarithm at:

brainly.com/question/16845433

#SPJ1

3 0

1 year ago

On the coordinate grid of a map. Jeff's house is located at (9,5). Hannah's house is at (-5,-5). Kenya's house is located at the

Andru [333]

The midpoint formula is $\frac{ x_{1} + x_{2} }{2}, \frac{ y_{1}+ y_{2} }{2}$
So just plug in the corresponding coordinates in the correct place to get the midpoint.
x_1=-5 ; x_2=9 ; y_1=-5 ; y_2=5
((-5 + 9)/2 , (-5 + 5)/2)
(4/2 , 0/2)
(2,0) is where Kenya's house is(which is the midpoint).

The distance formula is a bit more complicated than that. The distance formula is D= $\sqrt{({y_{2}- y_{1} }^{2}) + ({ x_{2}- x_{1}}^{2} ) }$
In this case now, your looking for the distance from Hannah's house to Kenya's house.
D= $\sqrt{(-5-2)^{2} + (-5-0)^{2} }$
= $\sqrt{49+25}$
= $\sqrt{74}$ ≈8.6023

8 0

2 years ago

Read 2 more answers

Benito runs 1/10 of a mile each day. Which shows how to find the number of days it will take for Benito to run 3/5 of a mile?

n200080 [17]

D is most likely right. Basically, I would turn them into decimals and divide using a graphing calculator.

4 0

3 years ago

How to simplify 5 cubed

alex41 [277]

Answer:

125

Step-by-step explanation:

Steps to Solving the Problem

So let's say you have five friends who who are each going to pay you five dollars for the next five days. You can figure out how much money you will receive by calculating five cubed or five to the third power. This will tell us how much money you will get because you will multiply 5 by 5 by 5 or 5 cubed.

To start, you need to turn words into numbers by figuring out the base and exponent. An exponent is the number after the ^ which tells you how many times to multiply the base number by itself. The base number comes before the ^. When five is cubed, five is the base number which will show up before the ^.

Three is the exponent and will be the number after the ^. We know three is the exponent because of the word 'cubed,' which always represents the number three.

We can write out five cubed as:

5^3

Once the exponent and base are figured out, we need to write out the long version, which shows all the multiplication being done. In this case, the exponent of three tells us to multiply five by itself three times.

5 x 5 x 5

This shows us 5 friends multiplied by $5 multiplied by 5 days.

From here, multiply the numbers out to get the final answer. Multiply two numbers at a time to so you don't make a mistake.

5 x 5 = 25

25 x 5 = 125

6 0

3 years ago