The first term in the expansion of the binomial (3x y)4

Identify the expression equivalent to 4(x + x + 7) − 2x + 8 − 4 by substituting x = 1 and x = 2. 6x + 11 3(x + 7) 2(3x + 16) 3x

sveta [45]

2(3x+16)

Step-by-step explanation:

Identify the expression equivalent to 4(x + x + 7) − 2x + 8 − 4

4(x + x + 7) − 2x + 8 − 4

When x=1 , the expression becomes 4(1+1+7)-2(1)+8-4=38

When x=2 , the expression becomes 4(2+2+7)-2(1)+8-4=44

Plug in x=1 and check with each expression

6x + 11 =6(1) +11= 16

3(x + 7) = 3(1+7)= 3(8)= 24

2(3x + 16) = 2(3(1)+16)= 38 , we got same answer when x=1, now check with x=2

2(3x + 16) = 2(3(2)+16)= 44

3x + 16= 3+16= 19

5 0

3 years ago

What is the nth term rule of the linear sequence 6,13,20,27,34?

Law Incorporation [45]

Answer:

62

Step-by-step explanation:

5 0

2 years ago

Radius= 4cm. find the area and diameter of the circle

Bezzdna [24]

<h3>given:</h3>

radius= 4 cm

the area and the diameter of the circle.

<h3>solution:</h3><h3>diameter:</h3>

$d = 2r$

$d = 2 \times 4$

$d = 8 \: cm$

therefore, the diameter of the circle is 8 centimeters.

$a = \pi {r}^{2}$

$a = \pi \times {4}^{2}$

$a = 50.26548 \: {cm}^{2}$

$a = 50.27 \: {cm}^{2}$

hence, the area of the circle is 50.27 square centimeters.

6 0

2 years ago

Read 2 more answers

What are the measures of Angles a, b, and c? Show your work and explain your answers.

andreev551 [17]

Answers: ∠a = 30° ; ∠b = 60° ; ∠c = 105°.
_____________________________________________
1) The measure of Angle a is 30°. (m∠a = 30°).
Proof: All vertical angles are congruent, and we are shown in the diagram that angle A — AND the angle labeled with the measurement of 30°— are vertical angles.

2) The measure of Angle b is 60°. (m∠b = 60°).
Proof: All three angles of a triangle add up to 90 degrees. In the diagram, we can examine the triangle formed by Angle A, Angle B, and a 90° angle. This is a right triangle, and the angle with 90∠ degrees is indicated as such (with the "square" symbol). So we know that one angle is 90°. We also know that m∠a = 30°. If there are three angles in a triangle, and all three angles must add up to 180°, and we know the measurements of two of the three angles, we can solve for the unknown measurement of the remaining angle, which in this case is: m∠b.
90° + 30° + m∠b = 180° ;
180° - (90° + 30°) = m∠b ;
180° - (120°) = m∠b = 60°
___________________________
Now we need to solve for the measure of Angle c (m∠c).
___________________________________________
All angles on a straight line (or straight "line segment") are called "supplementary angles" and must add up to 180°. As shown, Angle c is on a "straight line". The measurement of the remaining angle represented ("supplementary angle" to Angle c is 75° (shown on diagram). As such, the measure of "Angle C" (m∠c) = m∠c = 180° - 75° = 105°.

6 0

3 years ago

Read 2 more answers

14. The area of a rectangle is 375 square inches and it’s perimeter is 80 inches. Find both the length and width.

Pavel [41]

Answer:

Length $=25$ inches