All categories

3 years ago

When graphing the following equations, which one will be a straight line?

Mathematics

1 answer:

11Alexandr11 [23.1K]3 years ago

7 0

The answer is obvious that is option B, however for educational purposes we will graph the different cases

using a graph tool
see the attached figure

case A-------> is a parabola is not a straight line
case B-------> is a straight line
case C-------> there are two straight line
case D-------> is a circle is not a straight line
hence

the answer is the option
B.f(x) = x + 1

You might be interested in

A triangle has one side that measures 1 foot and another side that measures 20 inches. What are possible lengths of the third si

klio [65]

Answer:

The correct options for the possible lengths of the third side are;

13 inches

28 inches

Step-by-step explanation:

The given lengths of two sides of the triangle are;

The length of one side of the triangle = 1 foot = 12 inches

The length of the other side of the triangle = 20 inches

The question can be solved by the triangle inequality theorem as follows;

A + B > C

B + C > A

A + C > B

Let the given sides be A = 12 inches and B = 20 inches

We have;

12 + 20 = 32 > C

Therefore, by the triangle inequality theorem, the third side, 'C', is less than 32 inches

Similarly, when C = 6 inches, we have;

A + C = 12 + 6 = 18 < B = 20

Therefore, the third side cannot be 6 inches

when C = 13 inches, we have;

A + C = 12 + 13 = 25 > B = 20

Therefore, the third side can be 13 inches

when C = 28 inches, we have;

A + C = 12 + 28 = 30 > B = 20

Therefore, the third side can be 28 inches

4 0

3 years ago

I honestly don’t get how to solve this

ruslelena [56]

Answer:

Two other possible measure ments of AD and AE are

(a) Let AD = 4 units and AE = 6 units.

(b )Let AD = 2 units and AE = 3 units,

Step-by-step explanation:

In ΔABC, given

AB = 8 units, BC = 9 units, AC = 12 units,

D is on AB and E is on AC

Now, when AD = 6 and AE = 9, both ΔABC and ΔADE are similar.

Also, DB = 8 units - 6 units = 2 units,

EC = 12 units - 9 units = 3 units

⇒ $\frac{AD}{DB} = \frac{AE}{EC} = 3$

To adjust the points D and E in such a way, triangles REMAIN SIMILAR.

(a) Let AD = 4 units and AE = 6 units

Then, DB = 8 units - 4 units = 4 units,

EC = 12 units - 6 units = 6 units

⇒ $\frac{AD}{DB} = \frac{4}{4} = 1 , \\ \frac{AE}{EC} = \frac{6}{6} = 1$

⇒ $\frac{AD}{DB} = \frac{AE}{EC} = 1$

Hence, ΔABC and ΔADE are similar.

(b) Let AD = 2 units and AE = 3 units

Then, DB = 8 units - 2 units = 6 units,

EC = 12 units - 3 units = 9 units

⇒ $\frac{AD}{DB} = \frac{2}{6} = \frac{1}{3} , \\ \frac{AE}{EC} = \frac{3}{9} = \frac1}{3}$

⇒ $\frac{AD}{DB} = \frac{AE}{EC} =\frac{1}{3}$

Hence, ΔABC and ΔADE are similar.

4 0

3 years ago

Of the Day

Nadya [2.5K]

Answer:

8+8+9+9.. so the answer is 34 yards.

Step-by-step explanation:

6 0

4 years ago

A certain number of friends are waiting in line to board a new roller coaster. they can board the ride in 5,040 different ways.

Paraphin [41]

There are seven (7) friends.

The first friend to board can be any one of the 7. For each of them ...
The 2nd one to board can be any one of the remaining 6. For each of them ...
The 3rd one to board can be any one of the remaining 5. For each of them ...
The 4th one to board can be any one of the remaining 4. For each of them ...
The 5th one to board can be any one of the remaining 3. For each of them ...
The 6th one to board can be either of the remaining 2. For each of them ...
The 7th one to board is the last 1 standing.

The number of different ways that this could play out is

(7 x 6 x 5 x 4 x 3 x 2 x 1) = <em>5,040</em>

6 0

3 years ago

Please answer this in two minutes

lubasha [3.4K]

Answer:

14.

Step-by-step explanation:

From the question given, we obtained the following information:

When angle θ = 60°

Adjacent = 7

Hypothenus = s

When angle θ = 30°

Opposite = 7

Hypothenus = s

We can use any of the above to determine the value of 's'.

Here, we shall consider when angle θ is 60°.

Cos θ = Adjacent /Hypothenus

Angle θ = 60°

Adjacent = 7

Hypothenus = s

Cos θ = Adjacent /Hypothenus

Cos 60° = 7/s

But Cos 60° = 1/2

1/2 = 7/s

Cross multiply

s = 2 x 7

s = 14

Therefore, the value of 's' is 14

5 0

3 years ago