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2 years ago

What is the distance between points (10, 7) and (2, 7) ob a coordinate plane

Mathematics

2 answers:

amm18122 years ago

6 0

The distance is 8 units

Hope this helps!!

Plz tell me if im right

Solnce55 [7]2 years ago

6 0

The distance would be 8

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Help with this task it's confusing can u explain how you got the answer

Andru [333]

Oh my goodness ! You were doing such an absolutely beautiful job,
as far as you went, but then you ran into some rough road and quit.

You've got the correct expressions for the ages of the three people:

-- Will . . . w
-- Ben . . . w+3
-- Jan . . . 2(w+3)
You slipped up when you expanded Jan's age: 2(w+3) = 2w + 6 ,
and it was all down hill from there.

Let's do it again, together:

-- Will . . . w
-- Ben . . . w + 3
-- Jan . . . 2w + 6

Total: (w + w + 2w) + (3 + 6) = 4w + 9

So the equation is: 4w + 9 = 41
Now you're supposed to solve it.

Subtract 9 from each side: 4w = 32

Divide each side by 4: w = 8

-- Will = w . . . . . 8 y.o.
-- Ben = w+3 . . . 11 y.o.
-- Jan = 2(w+3) . . 22 y.o.

When will Jan be twice as old as Will ?
That'll happen in 'x' years.
At that time, Will will be (8+x) and Jan will be (22+x),
and her age will be double Will's age.

22 + x = 2(8 + x)

22 + x = 16 + 2x

Subtract 'x' from each side: 22 = 16 + x

Subtract 16 from each side:  6 = x

Check:

In 6 years, Jan will be (22+6) = 28,
and Will will be (8+6) = 14 .

28 = twice as old as 14. yay!

Can I make a little suggestion ?
I'm going to make it anyway:

Your problem was neatness.
You were doing great work in that big open space on the sheet, but it
started to get ragged. When you tried to look back to see if you made
a mistake, you couldn't find it in the mess.
This is not an easy problem, but you definitely know your stuff.
I think if you keep it a little neater, you're going to sparkle !

7 0

2 years ago

The original price is $75. She used a coupon code to receive a 20% discount. The web site applied a 10% service fee to the disco

ELEN [110]

-20% + 10 % = -10%

The ticket was less by 10 percent.

4 0

2 years ago

WORTH ALL MY POINTS PLEASE HELP

kari74 [83]

9514 1404 393

Answer:

(a) = 7 +3·5

Step-by-step explanation:

The given expression evaluates to ...

6 +2^4 = 6 +16 = 22

The offered choices evaluate to ...

7 +3·5 = 7 +15 = 22

4·10^3 +96 = 4·1000 +96 = 4096

7^2 = 49

3·10 +2 = 30 +2 = 32

The only choice that will form a proper equation is the expression that evaluates to 22:

6 +2^4 = 7 +3·5

4 0

2 years ago

Graph a line that contains the point (3,-6) and has a slope of -1/2

djyliett [7]

If I were you, I would make the starting point (3,-6). From there, you will want to use the slope of -1/2 (go down 1 unit and to the right 2 units and draw a point)

4 0

2 years ago

15 points!!! GEOMETRY help please!! Questions attached!

dolphi86 [110]

3. Look at the picture.

We have the right angle triangle. We know the sum of measures of angles in triangle is equal 180°. Therefore:

$x^o+90^o+43^o=180^o\\\\x^o+133^o=180^o\ \ \ |-133^o\\\\x^o=47^o$

$Answer:\ \boxed{47^o}$

4.
Look at the picture.

Use Pythagorean theorem:

$x^2+14^2=(10+x)^2\\\\x^2+196=10^2+2\cdot10\cdot x+x^2\ \ \ \ |-x^2\\\\196=100+20x\ \ \ |-100\\\\20x=96\ \ \ |:20\\\\x=4.8$

$Used:\ (a+b)^2=a^2+2ab+b^2$

$Answer:\ \boxed{4.8\ units}$

5.
TRUE: 1; 2; 4

6.
We find a slope of the line OP:

$m=\dfrac{y_2-y_1}{x_2-x_1}\\\\O(2;\ 6)\to x_1=2;\ y_1=6\\\\P(4;\ 3)\to x_2=4;\ y_2=3\\\\m=\dfrac{3-6}{4-2}=\dfrac{-3}{2}$

We have: $OP:\ y=-\dfrac{3}{2}x+b$

Now, we must find the slope of the line perpendicular to the line OP.
We know:

$k:y=m_1x+b;\ l:y=m_2x+c\\\\k\ \perp\ l\iff m_1m_2=-1$

therefore

$-\dfrac{3}{2}m_2=-1\ \ \ |\cdot\left(-\dfrac{2}{3}\right)\\\\m_2=\dfrac{2}{3}$

So. We have the answer! :)

$Answer:\ \boxed{y=\dfrac{2}{3}x+\dfrac{1}{3}}$

6 0

2 years ago