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2 years ago

13

Is 0 a Rational number

2 answers:

kaheart [24]2 years ago

6 0

Answer:

Yes, 0 is a rational number.

Step-by-step explanation:

Since we know, a rational number can be expressed as p/q, where p and q are integers and q is not equal to 0. Thus, we can express 0 as p/q, where p is equal to zero and q is an integer.

oee [108]2 years ago

4 0

We can say that ‘0’ is also a rational number since it can represent it in many forms of 0/1, 0/2, 0/3, etc. So yea it is hope this helped!

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Find an equation of the line passing through the given points. Use function notation to write the equation. (3,8) and (4,13

Olegator [25]

Answer:

$f(x)=5x-7$

Step-by-step explanation:

The given line passes through the points;

$(x_1,y_1)=(3,8)$

and

$(x_2,y_2)=(4,13)$

Let us find the slope using;

$m=\frac{y_2-y_1}{x_2-x_1}$

$m=\frac{13-8}{4-3}$

$m=\frac{5}{1}=5$

The equation is given by;

$y-y_1=m(x-x_1)$

We substitute the values into the formula to obtain;

$y-8=5(x-3)$

$y=5x-15+8$

$y=5x-7$

There the equation of the line is

$f(x)=5x-7$

7 0

3 years ago

Which of the following best completes the proof showing that ΔWXZ ~ ΔXYZ?

skelet666 [1.2K]

Angles formed by the segment $\overline{XZ}$ in the triangles ΔWXZ, and ΔXYZ, are equal and the given corresponding sides are proportional.

The option that best completes the proof showing that ΔWXZ ~ ΔXYZ is; <u>16 over 12 equals 12 over 9</u>

Reasons:

The proof showing that ΔWXZ ~ ΔXYZ is presented as follows;

Segment $\overline{XZ}$ is perpendicular to segment $\overline{WY}$

∠WZX and ∠XZY are right angles by definition of $\overline{XZ}$ perpendicular to $\overline{WY}$

∠WZX in ΔWXZ = ∠XZY in ΔXYZ = 90° (definition)

$\displaystyle \frac{WZ}{XZ} = \frac{16}{12} = \mathbf{ \frac{4}{3}}$

$\displaystyle \mathbf{ \frac{XZ}{ZY}} = \frac{12}{9} = \frac{4}{3}$

Therefore;

$\displaystyle \frac{16}{12} = \frac{12}{9}$ , which gives, $\displaystyle \mathbf{\frac{WZ}{XZ} }= \frac{XZ}{ZY}$

Given that two sides of ΔWXZ are proportional to two sides of ΔXYZ, and

that the included angles between the two sides, ∠WZX and ∠XZY are

congruent, the two triangles, ΔWXZ and ΔXYZ are similar by Side-Angle-

Side, SAS, similarity postulate.

The option that best completes the proof is therefore;

$\displaystyle \frac{16}{12} = \frac{12}{9}$ which is; <u>16 over 12 equals 12 over 9</u>

Learn more about the SAS similarity postulate here:

brainly.com/question/11923416

4 0

2 years ago

hoa [83]

13.60 !
because i calculated

8 0

3 years ago

Read 2 more answers

Eddie needs 2 2/3 cups of flour for one batch of cupcakes. How much flour does he need for 2 1/2 batches?

Kruka [31]

1 batch of pancake = 2 2/3 = 8/3 cups

for 2 1/2 = 5/2 pancake = 8/3 * 5/2 = 40/6 cups = 6 2/3 cups

5 0

3 years ago

Read 2 more answers

We want to find the zeros of this polynomial: p(x)=5x^3-5x^2-10xp(x)=5x 3 −5x 2 −10x

butalik [34]

Answer:

x = -1, 0, 2

Step-by-step explanation:

p(x) = 5x³ − 5x² − 10x

Factor the greatest common factor:

p(x) = 5x (x² − x − 2)

Now factor the quadratic. You can use the AC method, the quadratic formula, the rational root test, or trial and error.

p(x) = 5x (x − 2) (x + 1)

Finally, set each factor equal to 0 and solve for x.

5x = 0 → x = 0

x − 2 = 0 → x = 2

x + 1 = 0 → x = -1

7 0

1 year ago