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2 years ago

Which conjunction about whole numbers is true?

Mathematics

2 answers:

alexandr402 [8]2 years ago

6 0

Answer:

The sum of two even numbers is even and greater than the addends.

Step-by-step explanation:

Let 2n and 2m be two even numbers.

The sum of these numbers is

$2n+2m$

Use distributive property:

$2(n+m)$

This number is even because 2 is its factor.

Note that

$2n+2m>2n\\ \\2n+2m>2m$

Thus, correct option is:

The sum of two even numbers is even and greater than the addends.

GaryK [48]2 years ago

4 0

Answer:

Step-by-step explanation:

Just took the test

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Joseph typed a 1200- word essay in 25 minutes.at this rate,determine how many words he can type in 45 minutes.

Deffense [45]

First you divide 1200 by 25 (1200/25) it comes out to 48.
That means the he types at a rate of 48wpm. So then all you have to do is multiply 48 and 45 and you get 2160 words.

4 0

3 years ago

The moon is a sphere with radius of 959 km. Determine an equation for the ellipse if the distance of the satellite from the surf

Sergeeva-Olga [200]

Answer:

$\frac{x^2}{1316^2}+\frac{y^2}{1669^2}=1$

Step-by-step explanation:

An ellipse is the locus of a point such that its distances from two fixed points, called foci, have a sum that is equal to a positive constant.

The equation of an ellipse with a center at the origin and the x axis as the minor axis is given by:

$\frac{x^2}{b^2}+\frac{y^2}{a^2} =1 \\\\where\ a>b$

Since the distance of the satellite from the surface of the moon varies from 357 km to 710 km, hence:

b = 357 km + 959 km = 1316 km

a = 710 km + 959 km = 1669 km

Therefore the equation of the ellipse is:

$\frac{x^2}{1316^2}+\frac{y^2}{1669^2}=1$

5 0

2 years ago

Choose the option that best answers the question.The points A(0, 0), B(0, 4a – 5) and C(2a + 1, 2a + 6) form a triangle. If Angl

Sunny_sXe [5.5K]

Answer:

The correct option is 1.

Step-by-step explanation:

Given information: The coordinates of a right angled triangle ABC are A(0, 0), B(0, 4a – 5) and C(2a + 1, 2a + 6). Angle ABC = 90°.

It means AB and BC are legs of the right angled triangle ABC.

Side AB lies on the y-axis because the x-coordinate of both A and B is 0.

Two legs are perpendicular to each other. So, BC must be parallel to x-axis and the y-coordinate of both B and C is must be same.

$4a-5=2a+6$

$4a-2a=5+6$

$2a=11$

Divide both sides by 2.

$a=\frac{11}{2}$

The value of a is 2. So the coordinates of triangle ABC are

$B(0,4a-5)=B(0,4(\frac{11}{2})-5)\Rightarrow B(0,17)$

$C(2a+1,2a+6)=C(2(\frac{11}{2})+1,2(\frac{11}{2})+6)\Rightarrow C(12,17)$

The area of a triangle is

$Area=\frac{1}{2}|x_1(y_2-y_3)+x_2(y_3-y_1)+x_3(y_1-y_2)|$

The area of triangle ABC is

$Area=\frac{1}{2}|0(17-17)+0(17-0)+12(0-17)|$

$Area=\frac{1}{2}|12(-17)|$

$Area=\frac{1}{2}|-204|$

$Area=\frac{1}{2}(204)$

$Area=102$

The area of triangle ABC is 102. Therefore the correct option is 1.

6 0

2 years ago

Find the value of x sum of angle measures 360

nlexa [21]

Answer:

x =120

60,60,120,120

Step-by-step explanation:

The sum of the angles is 360

x + x+ 1/2x + 1/2x = 360

Combine like terms

3x = 360

Divide each side by 3

3x/3 =360/3

x =120

The 4 angles are 120, 120,60,60

From least to greatest

60,60,120,120

4 0

3 years ago

Read 2 more answers

Pls answer ASAP<br> 5 extra points

Leona [35]

Answer:

The answer is B.

Step-by-step explanation:

Any percentage is a number divided by 100 . So 0.4%=0.4100 . Dividing 0.4 by 100 gives 0.004 .

5 0

3 years ago