The length of a rectangle is 4 more than its width. The area of the rectangle is 21m2 . What is the measure of the width?

Mathematics

2 answers:

Citrus2011 [14]3 years ago

7 0

Its 3m i just took it and put the answer 4m in and it said it was wrong

iris [78.8K]3 years ago

6 0

Length(l)= 4+ w
Width(w)=w
Area(A)= 21m^2

so keep in mind Area= Length × width

A= l×w
21=(4+w)(w)
21= 4w+ 2w
21=6w
w=3.5

The width is 3.5m

so the answer is about 4m

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Which is the graph of the line LaTeX: y-2=3\left(x-1\right)y − 2 = 3 ( x − 1 )?

andreyandreev [35.5K]

Answer:

Step-by-step explanation:

The equation given takes the point-slope form which is, $y - b = m(x - a)$ . Where,

(a, b) = (x, y) coordinates of a point on the line.

m = slope of the line .

To find which graph has a line equation of $y - 2 = 3(x - 1)$ , look for the points which will give you something almost exactly as the equation if you substitute their values into $y - b = m(x - a)$ .

Let's consider option D.

We have a given point (1, 2). a = 1, b = 2.

Substitute these into $y - b = m(x - a)$

We have:

$y - (2) = m(x - (1))$

$y - 2 = m(x - 1)$

As you can see, this looks almost exactly as

$y - 2 = 3(x - 1)$ .

If you want to be certain that option D is the answer, find m by using the coordinates of any other point on the line and plug into $y - 2 = m(x - 1)$ to find m:

In graph D, let's take the points (0, -1)

$-1 - 2 = m(0 - 1)$