What is the 33rd term of this arithmetic sequence? 12, 7, 2, -3, -8, …

Rearrange the equation so xxx is the independent variable. 6x+y=4x+11y6x+y=4x+11y

slava [35]

Answer:

10x=10y so x and y are the same or x=y

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

Can someone help me with my work

juin [17]

F(x) = x
stretch by 3:
f(x) = 3x

flip over x-axis
g(x) = -3x

answer is C. g(x) = -3x

5 0

3 years ago

The roots of the equation 2x^2+8x-7=-2 are?

olchik [2.2K]

2x^2+8x-7=-2
2x^2+8x - 5 = 0

using the formula:- x = [-8 +/- sqrt(8^2 - 4*2*-5) ] / 4
= -2 +/- sqrt 104)/2
= 0.5495 , -4.549

6 0

3 years ago

A flag pole has a rope that attaches to the ground from the top of the flagpole the rope create a 30° angle with the ground and

OLEGan [10]

Answer:

$5.77\ \text{m}$

$11.54\ \text{m}$

Step-by-step explanation:

p = Height of pole

h = Length of role

b = Distance between the bottom of the rope and bottom of the pole = 10 m

$\theta$ = Angle between the rope and the ground = $30^{\circ}$

$\tan\theta=\dfrac{p}{b}\\\Rightarrow p=b\tan\theta\\\Rightarrow p=10\tan30^{\circ}\\\Rightarrow p=5.77\ \text{m}$

The length of the rope is $5.77\ \text{m}$

$\cos\theta=\dfrac{b}{h}\\\Rightarrow h=\dfrac{b}{\cos\theta}\\\Rightarrow h=\dfrac{10}{\cos30^{\circ}}\\\Rightarrow h=11.54\ \text{m}$

The length of the pole is $11.54\ \text{m}$

3 0

3 years ago

Which statements about the relationship between the two triangles below are true? Check all that apply. Triangle A C D. Angle D

Karolina [17]

Answer:

Which statements about the relationship between the two triangles below are true

- Angle C is congruent to angle S (true)

- Angle D is congruent to angle T (true)

- Triangle D C A is similar to triangle T S R (true)

The rest are false.

Complete question;

Which statements about the relationship between the two triangles below are true? Check all that apply. Triangle A C D. Angle D is 60 degrees and angle A is 74.9 degrees. Triangle R S T. Angle R is 74.9 degrees and angle S is 45.1 degrees.

- Angle C is congruent to angle T

- Angle C is congruent to angle S

- Angle D is congruent to angle T

- Triangle D C A is congruent to triangle T S R

- Triangle D C A is similar to triangle T S R

- Triangle C A D is similar to triangle T R S

- Triangle C A D is congruent to triangle T R S

Step-by-step explanation:

See attached image for more information;

Angle C = 180 - (60+74.9) = 45.1°

Angle T = 180 - (74.9+45.1) = 60°

Therefore;

Angle C = Angle S = 45.1°

Angle D = Angle T = 60°

And

Triangle D C A is similar to triangle T S R

(Note the order of the letters)

The two triangles are not congruent because the length of their sides are not the same.

3 0

3 years ago