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zloy xaker [14]
3 years ago
13

Evaluate the expression described below if the number is 4.

Mathematics
1 answer:
Archy [21]3 years ago
5 0
<em>x</em>² - x

<em>x</em> = 4

4² - 4 

16 - 4 = 12

Hope this helps!
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A sequence can be generated by using an = an-1 + 4, where a1 = 6 and n is a whole number greater than 1. What are the first four
Firlakuza [10]

<u>Answer:</u>

  • The first four terms are <u>4</u><u>,</u><u>8</u><u>,</u><u>1</u><u>2</u><u>,</u><u>1</u><u>6</u>

<u>Step-by-Step </u><u>Explanation</u><u>:</u>

The given relation between the nth term and it's previous term is given by:

\boxed{an = an - 1 + 4}

GiveN:

  • a1 = 4

Now finding the other three terms of the AP with the given relation.

a2 = a1 + 4

Putting a1 = 4,

a2 =  4 + 4 = 8

Now, Third term:

a3 = a2 + 4

Putting a2 = 8,

a3 = 8 + 4 = 12

Now, Fourth term:

a4 = a3 + 4

Putting a3 = 12,

a4 = 12 + 4 = 16

Hence, The first four terms of the AP is 4, 8, 12 & 16.

7 0
2 years ago
Find the perpendicular distance from the pointp(6, 4, 2)to the xy-plane.
Stells [14]

, 4, 2)to the xy............................................

7 0
3 years ago
Angle RST is a right angle. Angle RSU has a measure of 25°.
Angelina_Jolie [31]

Keywords

complementary angles, right angle

we know that

If two angles are <u>complementary angles</u>, then their sum is equal to a <u>right angle</u>

In this problem

Angle\ RSU+Angle\ TSU=90\° -------> by <u>complementary angles</u>

we have

Angle\ RSU=25\°

Substitute and solve for Angle TSU

Angle\ TSU=90\°-25\°=65\°

therefore

the answer is the option

65\°

5 0
3 years ago
Read 2 more answers
How will the area of the circle change if it is dilated by a scale factor of 3?
Nesterboy [21]
The area would be 1/2 the original
7 0
3 years ago
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I don’t understand how to proof Cpctc or answer the questions
n200080 [17]
I think that first you need to understand what CPCTC is used for.

Let's start with the definition of congruent triangles.

Definition of congruent triangles
Two triangles are congruent if each side of one triangle is congruent to a corresponding side of the other triangle and each angle of one triangle is congruent to a corresponding angle of the other triangle.

A definition works two ways.
1) If you are told the sides and angles of one triangle are congruent to the corresponding sides and angle of a second triangle, then you can conclude the triangles are congruent.
2) If you are told the triangles are congruent, then you can conclude 6 statements of congruence, 3 for sides and 3 for angles.

Now let's see what CPCTC is and how it works.
CPCTC stands for "corresponding parts of congruent triangles are congruent."
The way it works is this. You can prove triangles congruent by knowing fewer that 6 statements of congruence. You can use ASA, SAS, AAS, SSS, etc. Once you prove two triangles congruent, then by the definition of congruent triangles, there are 6 congruent statements. That is where CPCTC comes in. Once you prove the triangles congruent, then you can conclude two corresponding sides or two corresponding angles are congruent by CPCTC. These two corresponding parts were not involved in proving the triangles congruent.

Problem 1.

Statements                                        Reasons
1. Seg. AD perp. seg. BC               1. Given
2. <ADB & <ADC are right angles     2. Def. of perp. lines
3. <ADB is congr. <ADC                 3. All right angles are congruent
4. Seg. BD is congr. seg CD           4. Given
5. Seg. AD is congr. seg. AD        5. Congruence of segments is reflexive
6. Tr. ABD is congr. tr. ACD           6. SAS
7. Seg. AB is congr. seg. AC        7. CPCTC

4 0
3 years ago
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