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3 years ago

Write the point from of the equation for a line that passes through (6,—1) with a slope of 2

Mathematics

2 answers:

Paraphin [41]3 years ago

7 0

Answer:

y = 2x-13

Step-by-step explanation:

The equation for a line is

y = mx+b where m is the slope and b is the y intercept

y = 2x+b

We know a point so we have a y and an x, so we can solve for b

-1 = 2(6) +b

-1 =12+b

Subtract 12 from each side

-1-12 = 12-12+b

-13 =b

Substitute this into y = 2x+b

y = 2x-13

puteri [66]3 years ago

5 0

The equation for point-slope form is: y - y1 = m( x - x1)

We already know from what is given in the question that:

The value of x1 is: 6

And the value of y1 is: 1

Now all you have to do is plug it in:

y - (-1) = 2[x – (6)]

And then simplify:

y + 1 = 2( x - 6)

I hope this helps! :)

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I'm really stuck on this hard system of equations: A+B+C = 2, AB+BC+AC = -11, and ABC = -12. Can anyone show me how to solve thi

Andreas93 [3]

Oh boy. I don't know how to solve this off the top of my head so this answer may ramble a bit as I figure it out as I go along.

At least two numbers have to be close in value, one positive and one negative, in order for a+b+c to be true

Let's see, ABC=-12

If one letter was 4, 1, and -3 they would add to 2 and multiply to -12. I got these by just trying a bunch of combinations.

I'm pretty sure these are the right numbers, but which is which we need the AB+BC+AC formula to figure out.

IF: a=4 b=1 c=-3
4 -3 -12 = -11. Wow, first try, for reals!

A equals 4. B=1. C=-3

Would other combinations work?
a=1 b=-3 c=4
-3 + -12 + 4 = -11

Yes, other combinations work as well. Well, you have your numbers and two ways they can go. Hope this helps!

8 0

3 years ago

A customer deposits $1275 in a savings account that pays 4% interest compounded quarterly. How much money will the customer have

rusak2 [61]

$13777.00

Step-by-step explanation:

8 0

3 years ago

What is the area of rhombus ABCD? Enter your answer in the box. Do not round at any steps. put the answer in units²

AlladinOne [14]

Answer:

Therefore the Area of Rhombus ABCD is 36 unit².

Step-by-step explanation:

Given:

ABCD is a Rhombus

A = (-1,0)

B = (5,-3)

C = (-1,-6)

D = (-7 ,-3)

To Find:

Area of Rhombus ABCD = ?

Solution:

We know that Area of Rhombus is given as

$\textrm{Area of Rhombus}=\dfrac{1}{2}\times d_{1}\times d_{2}$

Where ,

d₁ and d₂ are the Diagonals.

We have,

Diagonals as AC and BD,

Using Distance Formula we get

$l(AC) = \sqrt{((x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2} )}$

Substituting coordinates A and C we get

$l(AC) = \sqrt{((-1-(-1))^{2}+(-6-0)^{2} )}=\sqrt{36}\\l(AC)=6\ unit$

Similarly for BD we have,

$l(BD) = \sqrt{((5-(-7))^{2}+(-3-(-3))^{2} )}=\sqrt{144}\\l(BD)=12\ unit$

Now Substituting AC and BD in Formula we get

$\textrm{Area of Rhombus}=\dfrac{1}{2}\times AC\times BD$

$\textrm{Area of Rhombus}=\dfrac{1}{2}\times 6\times 12=36\ unit^{2}$

Therefore the Area of Rhombus ABCD is 36 unit².

6 0

3 years ago

Round off 3. 55 to one significant figure

Anika [276]

Answer:

3.6

Step-by-step explanation:

We must first clarify how a number is rounded.

To round a number to unity we have to look at the first number after the comma.

If this number is less than 5 (1, 2, 3, 4) we should not do anything, but if that number is 5 or greater (5, 6, 7, 8, 9) we must add a unit to the number.

That is to say:

<5 do nothing

=> 5 round to the next number (+1)

So in the case of 3.55 it would be.

3.55 = 3.6

8 0

4 years ago

I need help with this

Arturiano [62]

Answer:

With what? i dont see the picture

Step-by-step explanation:

5 0

3 years ago