All categories

3 years ago

Use the distributive property to simplify this expression -(5-3v)

Mathematics

1 answer:

butalik [34]3 years ago

5 0

-(5 - 3v) You need to distribute/multiply the - to 5 and -3v

(-)5 - (-)(3v)

-5 - -3v 2 negative signs cancels out and becomes +, so

-5 + 3v

You might be interested in

A shop is having a sale.

labwork [276]

Answer:

Step-by-step explanation:

10%=11

because you divide 110 by 10.

Then i would multiply that by 3, giving you 33

110-33=77

8 0

3 years ago

Read 2 more answers

Let us have four distinct collinear points $a,$ $b,$ $c,$ and $d$ on the cartesian plane. the point $c$ is such that $\dfrac{ab}

Deffense [45]

Start with a line segment connecting two points, A and B. $\dfrac{DA}{BA}=3$ means DA is 3 times longer than BA. Clearly, D cannot fall between A and B because that would mean DA is shorter than BA. So there are two possible locations where D can be placed on the line relative to A and B.

But with $\dfrac{DB}{BA}=2$ , or the fact that DB is 2 times longer than BA, we can rule out one of these positions; referring to the attachment, if we place D to the left of A, then DB would be 4 times longer than BA.

Finally, $\dfrac{AB}{CB}=\dfrac12$ , so that CB is 2 times longer than AB. Again we have two possible locations for point C (it cannot fall between A and B), but one of them forces C to occupy the same point as D. However, A, B, C, D are distinct, so C must fall to the left of A.

Now let $d$ be the length of AB. Then the length of CD in terms of $d$ is $4d$ . We have the coordinates of C and D, and the distance between them is $\sqrt{(4-0)^2+(0-4)^2}=4\sqrt2$ . So

$4d=4\sqrt2\implies d=\sqrt2$

The slope of the line through C and D is

$\dfrac{0-4}{4-0}=-1$

and so the equation of the line through these points is

$y-4=-(x-0)\implies x+y=4$

So the coordinates of A are $(x,y)=(x,4-x)$ . The distance between C and A is $d=\sqrt2$ , so we have

$\sqrt{(x-0)^2+(4-x-4)^2}=\sqrt{2x^2}=|x|\sqrt2=\sqrt2\implies|x|=1$

Since A falls to the right of C (in the $x,y$ plane, not just in the sketch), we know to take the positive value $x=1$ . Then the $y$ coordinate is $y=4-1=3$ .

All this to say that A is the point (1, 3), so

$2x+y=2+3=5$

5 0

3 years ago

Solving problems with decimal points

vazorg [7]

Answer: what do you need help with

Explanation: you never posted a problem

6 0

3 years ago

Which relation is a function

kramer

The answer is B because the x doesn’t repeat in that one.

5 0

3 years ago

A diver dives from the board at a local swimming pool. Her height, y, in metres, above the water in terms of her horizontal dist

Aneli [31]

Answer:

4 meters

Step-by-step explanation:

Given a quadratic equation in which the coefficient of $x^2$ is negative, the parabola opens up and has a maximum point. This maximum point occurs at the line of symmetry.