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3 years ago

A line that intersects a circle at two points is a(n)______ of the circle.

Mathematics

1 answer:

Brut [27]3 years ago

8 0

Answer:

secant

Step-by-step explanation:

A secant is a line that intersects a circle in exactly two points.

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One serving of granola provides 4% of the protein you need daily. You must get the remaining 48 grams from other sources. How ma

Anna35 [415]

You will need 46.08 grams.

48 • 0.04 (4%) = 1.92
multiply 48 by 0.04 to find what 4% of 48g is
48 - 1.92 = 46.08
then subtract the 4% to get the rest amount

6 0

3 years ago

I’ll send a picture of problem and graph I don’t know how to write it out on here.

JulsSmile [24]

• Given the table of values, you can identify these points:

$(0,4),(1,8),(2,12),(3,16),(5,24),(6,28),(7,32)$

If you plot them on a Coordinate Plane, you get:

As you can observe, it is a Linear Function.

• The equation of a line in Slope-Intercept Form is:

$y=mx+b$

Where "m" is the slope of the line and "b" is the y-intercept.

In this case, you can identify in the graph that:

$b=4$

Therefore, you can substitute that value and the coordinates of one of the points on the line, into this equation:

$y=mx+b$

And then solve for "m", in order to find the slope of the line.

Using this point:

$(1,8)$

You get:

$\begin{gathered} 8=m(1)+4 \\ 8-4=m \\ m=4 \end{gathered}$

Therefore, the equation for the data in Slope-Intercept Form is:

$y=4x+4$

Hence, the answer is:

• It represents a Linear Function.

• Equation:

$y=4x+4$

8 0

1 year ago

Find the equation of the graphed line and select the best answer from the choices provided.

klemol [59]

Answer:

Step-by-step explanation:

The y-intercept must be at -7, so that eliminates C.

Because of the direction of the line, the slope needs to be negative. This eliminates B.

The slope of the line is -7/6, so D is the correct answer.

6 0

3 years ago

Write out the first four terms of the series to show how the series starts. Then find the sum of the series or show that it dive

Nostrana [21]

Answer:

The first four terms of the series are

$(9+3),(\frac97+\frac35),(\frac9{7^2}+\frac3{5^2}),(\frac9{7^3}+\frac3{5^3})$

$\sum_{n=0}^\infty \frac9{7^n}+\frac{3}{5^n}$ = 14.25

Step-by-step explanation:

We know that

Sum of convergent series is also a convergent series.

We know that,

$\sum_{k=0}^\infty a(r)^k$

If the common ratio of a sequence |r| <1 then it is a convergent series.

The sum of the series is $\sum_{k=0}^\infty a(r)^k=\frac{a}{1-r}$

Given series,

$\sum_{n=0}^\infty \frac9{7^n}+\frac{3}{5^n}$

$=(9+3)+(\frac97+\frac35)+(\frac9{7^2}+\frac3{5^2})+(\frac9{7^3}+\frac3{5^3})+.......$

The first four terms of the series are

$(9+3),(\frac97+\frac35),(\frac9{7^2}+\frac3{5^2}),(\frac9{7^3}+\frac3{5^3})$

Let

$S_n=\sum_{n=0}^\infty \frac{9}{7^n}$ and $t_n=\sum_{n=0}^\infty \frac{3}{5^n}$

Now for $S_n$ ,

$S_n=9+\frac97+\frac{9}{7^2}+\frac9{7^3}+.......$

$=\sum_{n=0}^\infty9(\frac 17)^n$

It is a geometric series.

The common ratio of $S_n$ is $\frac17$

The sum of the series

$S_n=\sum_{n=0}^\infty \frac{9}{7^n}$

$=\frac{9}{1-\frac17}$

$=\frac{9}{\frac67}$

$=\frac{9\times 7}{6}$

=10.5

Now for $t_n$

$t_n= 3+\frac35+\frac{3}{5^2}+\frac3{5^3}+.......$

$=\sum_{n=0}^\infty3(\frac 15)^n$

It is a geometric series.

The common ratio of $t_n$ is $\frac15$

The sum of the series

$t_n=\sum_{n=0}^\infty \frac{3}{5^n}$

$=\frac{3}{1-\frac15}$

$=\frac{3}{\frac45}$

$=\frac{3\times 5}{4}$

=3.75

The sum of the series is $\sum_{n=0}^\infty \frac9{7^n}+\frac{3}{5^n}$

= $S_n+t_n$

=10.5+3.75

=14.25

4 0

3 years ago

10 – 7x = 2 - 8x help :)

Rudik [331]

10-7x=2-8x

We move all terms to the left:

10-7x-(2-8x)=0

We add all the numbers together, and all the variables

-7x-(-8x+2)+10=0

We get rid of parentheses

-7x+8x-2+10=0

We add all the numbers together, and all the variables

x+8=0

We move all terms containing x to the left, all other terms to the right

x=-8

4 0

3 years ago

Read 2 more answers