Please explain some one help need help on home work

Please I need this before 12pm

luda_lava [24]

Answer:

The required formula is:

$\ a_{n}=a_{1}+(n-1)d$

Step-by-step explanation:

The total number of squares of the the first term = 4

The total number of squares of the the second term = 7

The total number of squares of the the third term = 10

so,

$a_1=4$

$a_2=7$

$a_3=10$

Finding the common difference d

$d=a_3-a_2=10-7=3$

$d=a_2-a_1=7-4=3$

As the common difference 'd' is same, it means the sequence is in arithmetic.

So

If the initial term of an arithmetic progression is $a_{1}$ and the common difference of successive members is d, then the nth term of the sequence $(a_n)$ is given by:

$\ a_{n}=a_{1}+(n-1)d$

Therefore, the required formula is:

$\ a_{n}=a_{1}+(n-1)d$

3 0

3 years ago

Solve the given equation over the interval [0, 2π): csc^2 x + 2 csc x = 0.

Anastaziya [24]

$csc^2x+2cscx=0$
Factor out the GCF which is csc x
$cscx(cscx+2)=0$
Set each factor equal to zero.
$cscx=0$ or $cscx+2=0$
Using the reciprocal sine function we can replace csc in the equations.
$\frac{1}{sinx} =0$ or $\frac{1}{sinx} +2=0$
The first equation yields 1 = 0 which is not true. However the second equation does offer 2 possible answers.
When solved for sinx you get $sinx=- \frac{1}{2}$
The sine function is negative in the 3rd and 4th quadrants.
You can use the unit circle or the $sin^-^1$ feature on your calculator $sin^-^1(1/2)$
$210^o or 330^o$ alter radian answer which is probably what you want is $\frac{7 \pi }{6} or \frac{11 \pi }{6}$

8 0

3 years ago

KG passes through the point (2, 14) and intersects HG at the point (12, 4). If the point H(18, 10) lies on HG, write the equatio

Setler79 [48]

The equation for KG would be y-14=-1(x-2) and the equation for HG would be y-4=1(x-12).

We first find the slope of KG. The formula for slope is
m=(y₂-y₁)/(x₂-x₁)

Using the points we have for KG, we have
m=(4-14)/(12-2) = -10/10 = -1

The equation for point-slope form is
y-y₁=m(x-x₁)

Using the slope of KG and the first point listed for that line, we have
y-14=-1(x-2)

Now we find the slope of HG:
m=(10-4)/(18-12) = 6/6 = 1

Using the point of intersection for KG and HG, we have
y-4=1(x-12)

3 0

3 years ago

14x+28y+21 = ?<br> Factor completely.

rodikova [14]

The answer: 7(2x+4y+3)

4 0

3 years ago

Read 2 more answers

When the figure below is rotated 90 degrees counterclockwise about the origin what would be the new coordinates of point c?

Sedbober [7]

Rotating a figure 90° counterclockwise about the origin results in an ordered pair (x, y) mapping to its image (-y, x). Thus point C, which is at (3, 5), will map to (-5, 3).

6 0

4 years ago