O is the midpoint of segment IU. If I is (-7, 2) and O is (5, -8), what are the coordinates of U?

Memorial Day has been celebrated in various ways since the end of the American Civil War. How many years have passed since the e

Butoxors [25]

Answer:

65 years.

Step-by-step explanation:

the end of the civil war was July 27, 1954.

8 0

2 years ago

What are the vertex and x-intercepts of the graph of the function given below?

olchik [2.2K]

The correct question is
What are the vertex and x-intercepts of the graph of the function given below?
y = x²-2x-35

step 1
convert the equation in the vertex form
y+35=x²-2x
y+35=(x²-2x+1-1)
y+35+1=(x²-2x+1)
y+36=(x-1)²------> equation in the vertex form

the vertex is the point (1,-36)

the answer Part a) is
the vertex is the point (1,-36)

Part b) Find the x-intercepts
we know that
the x-intercepts is when y=0
so
y+36=(x-1)²
for y=0
(x-1)²=36
(+/-)(x-1)=√36-------> (+/-)(x-1)=6
(+)(x-1)=6------> x=6+1-----> x=7
(-)(x-1)=6-----> x=1-6-----> x=-5

the x-intercepts are the points
(7,0) and (-5,0)

the answer part b) is
the x-intercepts are the points (7,0) and (-5,0)

the total answer is the option
A. Vertex: (1, -36); x-intercepts: (7, 0) and (-5, 0)

6 0

3 years ago

15. Find the lengths of major and minor arcs AB correct to the tenth of a cm. The minor

oee [108]

Las funciones trigonométricas se utilizan fundamentalmente en la solución de triángulos

rectángulos, recordando que todo triángulo rectángulo tiene un ángulo de 90° y sus ángulos

interiores suman 180°. La notación que se acostumbra es la siguiente.

5 0

3 years ago

2.) Damian types 110 words in 5 minutes. Howard types 208 words

jekas [21]

Answer:

Step-by-step explanation:

First, divide each persons rate by the number of minutes they typed their words in .

you end up with:

Damian: 55 seconds

Howard: 26 seconds

This tells us that Howard was least and Damian was greater.

Hope this helps :)

6 0

2 years ago

Brainliest to correct!! Please help :)

Zielflug [23.3K]

Answers: 2700 and 5300 in that order

Katie invested $2700 at a rate of 3% and $5300 at a rate of 4%

===============================================================

Explanation:

x = amount invested at a rate of 3%
y = amount invested at a rate of 4%

Those two amounts must add to 8000 because this is how much she invests total. So x+y = 8000 is the first equation to set up.

The formula we'll be using is the simple interest formula, which is,

i = p*r*t

where p is the amount deposited or principal, r is the interest rate, and t is the number of years. Luckily, we don't have to worry about the time value t because t = 1 so it effectively goes away. We just need to worry about p and r.

The variable p will be tied directly to the values of x and y, as these are deposit amounts. The r values are decimal forms of the percentages (eg: 3% converts to 0.03)

In short, Katie will earn

0.03x dollars from the first account (3% account)
0.04y dollars from the second account (4% account)

In total, she earns 0.03x+0.04y dollars combined. This is set equal to 293 as this is the stated interest she earns over the entire year.

So another equation to set up is 0.03x+0.04y = 293

This only works for simple interest. Compound interest may likely be a different story.

----------------------------------------------------

To summarize so far, we found these two equations:

x+y = 8000
0.03x+0.04y = 293

We have a number of options on how to solve this system. I'll use substitution.

Solve the first equation for y

x+y = 8000

y = 8000-x

Then we'll plug this into the other equation to solve for x like so,

0.03x+0.04y = 293

0.03x+0.04( y ) = 293

0.03x+0.04( 8000-x ) = 293

0.03x+0.04(8000)+0.04(-x) = 293

0.03x+320-0.04x = 293

-0.01x+320 = 293

-0.01x = 293-320

-0.01x = -27

x = -27/(-0.01)

x = 2700

This tells us that Katie invested $2700 at 3%

Use this x value to find y

y = 8000-x

y = 8000-2700

y = 5300

She also invested $5300 at 4%

----------------------------

As a quick check,

x+y = 2700+5300 = 8000

so that works out

Also,

0.03*x = 0.03*2700 = 81
0.04*y = 0.04*5300 = 212
0.03x+0.04y = 81+212 = 293

which also works out. The answers are fully confirmed.

7 0

3 years ago