All categories

3 years ago

Describe the possible locations, in terms of quadrants or axes, for point A(x,y) if x and y satisfy the following condition

1 answer:

3 0

Hello,

A: xy<0 ==>(x<0∧y>0) ∨(x>0∧y<0) ==>A(x,y)∈Quad II ∪ Quad IV

B: xy>0 ==>(x>0∧y>0) ∨(x<0∧y<0) ==>A(x,y)∈Quad I ∪ Quad III

C: xy=0 ==> x=0 ∨y=0 ==> A(x,y)∈ ox ∪ oy .

You might be interested in

Find the volume of the cone.

Nesterboy [21]

V=πr2h

3=π·22·9

3≈37.69911

4 0

2 years ago

Read 2 more answers

The area of triangle formed by points of intersection of parabola y=a(x−1)(x−4) with the coordinate axes is 3. Find a if it is k

n200080 [17]

Answer:

The value of a will be $a=-\frac{1}{2}$

Step-by-step explanation:

Start by graphing the parabola and the three points of the triangle. These points are at intersections of y=a(x-1)(x-4) and the axes

so the y = 0 points are (1,0) and (4,0).

The x = 0 intersection is when y=a(-1)(-4) or (0,4a)

The base and height of this triangle are

The base would be the distance between the y=0 intersections and the height would be the y value of the other vertex.

Hence, base=3 units and height = 4a units. Thus, area can be calculated as

$A = \frac{1}{2}\times b\times h =\frac{1}{2}\times 3\times 4a = 3$

$a=\frac{1}{2}$

∵ the parabola opens downward therefore a will be negative.

hence, $a=-\frac{1}{2}$

3 0

3 years ago

PLEASE HELP! (05.01 MC)

Temka [501]

Answer:

3) Option C is correct.

3 over 3 and 61 hundredths = 6 over 7 and 22 hundredths

Step-by-step explanation:

Triangle BDE is dilated by a scale factor of 2 to obtain triangle BAC.

Dilation by a scale factor of 2 means that all the sides of triangle BAC are twice as much as the corresponding sides of triangle BDE.

And triangle BDE is similar to triangle BAC.

It also means that the corresponding angles are necessarily equal.

BD = 2

BE = 3

ED = 3.61

BA = 2 × BD = 2 × 2 = 4

BC = 2 × BE = 2 × 3 = 6

CA = 2 × ED = 2 × 3.61 = 7.22

Cos ∠D according to trigonometric relations is given as (adj/hyp)

Adj = Adjacent side = BE = 3

Hyp = hypotenuse side = ED = 3.61

Cos ∠D = (3/3.61)

Cos ∠A can also be similarly obtained from trigonometric relations as (adj/hyp)

Adj = Adjacent side = BC = 6

Hyp = hypotenuse side = CA = 7.22

Cos ∠A = (6/7.22)

Since the two angles are corresponding angles of two similar triangles,

We can easily see that

Cos ∠D = Cos ∠A

(3/3.61) = (6/7.22) = 0.8310

Which is necessarily equal to each other

Hence, the proportion that proves that Cos ∠D = Cos ∠A is 3 over 3 and 61 hundredths = 6 over 7 and 22 hundredths.

please mark me brainliest :)

7 0

3 years ago

Y is directly proportional to x

maw [93]

Answer:

Step-by-step explanation:

Check attachment below

3 0

3 years ago

Read 2 more answers

a school knows that 38% of its incoming students own a smart phone and a tablet.what percent of students who own a smartphone al

Ede4ka [16]

We know that
38% of the incoming students own both a smartphone and a tablet
84% of the students own a smartphone

We are asked to find the percentage of students who own a smartphone

Let N be the total number of incoming students and S be the total number of students

So,
(N (38%) + S (84%)) / (N + S)

If we know the total number of students or incoming students, we can solve for the percentage by substituting the value of N or S

6 0

3 years ago

Read 2 more answers