How many solutions are there to the equation below?
5x - 2 - 3x(1 + 2) = 2(2 + 3)
A. O
B. infinitely many
C. 1

Given:

The center of the circle is at (0,0).

The circle passes through the point A(4,-3).

To find:

The radius and the equation of the circle.

Solution:

Distance formula:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

The radius of the circle is the distance between the points (0,0) and (4,-3).

[tex]r=\sqrt{(4-0)^2+(-3-0)^2}[/tex]

[tex]r=\sqrt{(4)^2+(-3)^2}[/tex]

[tex]r=\sqrt{16+9}[/tex]

[tex]r=\sqrt{25}[/tex]

[tex]r=5[/tex]

So, the radius of the circle is 5 units.

The standard form of a circle is

[tex](x-h)^2+(y-k)^2=r^2[/tex]

Where, (h,k) is center of circle and r is the radius.

Putting h=0, k=0, r=5, we get

[tex](x-0)^2+(y-0)^2=5^2[/tex]

[tex]x^2+y^2=25[/tex]

Therefore, the radius of the circle is 5 units and the equation of the circle is [tex]x^2+y^2=25[/tex].

Answer:

-2,-2,-2

Step-by-step explanation:

When you add -2 to itself, it equals -4. When you add -2 to -4, you get -6.

Answer: -2

Step-by-step explanation: -2 + -2 +-2 = -6

Answer:

C

Step-by-step explanation:

C

Answer:

5/9

Step-by-step explanation:

Answer:

5/9

Step-by-step explanation:

Answer:

22.8

Step-by-step explanation:

Answer trsut it or don't i dont care

Answer:

2

Step-by-step explanation:

The base B represents the number you multiply and the exponent "x" tells you how many times you multiply the base, and you write it as "B^ x." For example, 8^3 is 8X8X8=512 where "8" is the base, "3" is the exponent and the whole expression is the power.

Answer slope

Step-by-step explanation:

Answer:

A and B

Step-by-step explanation:

Answer:

golf ball striking the ground is a collision.

The ground exerts an equal force on the golf ball. y-step explanation:

PLATO

Answer:

6

Step-by-step explanation:

peeiroeoeolonesoapsodndd

Answer:

Step-by-step explanation:

the was I understand matrix multiplication, I re-learned tonight so I could be wrong but.....

according to Gaggle    matrix multiplication is possible when the number of columns in matrix 1  equals the number of rows in matrix 2

       it is called the dot product  (that sounds familiar)

first choice has 2 columns  and 1 row              can't multiple this one

second choice has 1 column  and 2 rows        can't multiple this one

third choice has 2 columns  and 1 row             can't multiple this one

fourth choice has 1 column  and 1 row        This one can be multiplied

Answer:

14,599

Step-by-step explanation:

Answer:

sup

Step-by-step explanation:

Answer:

8hours

Step-by-step explanation:

10000÷5=2000

so the restaurant earns 2000$ per hour

8×2000=16000

8hours=16000$

Hope that helped

Answer:

{-1/2, -1/4, 1/2}

Step-by-step explanation:

x > - 1 can be voiced as "x is greater than -1."  In other words, any x value greater than -1 satisfies this inequality.

1/2 is greater than -1.  1/2 lies to the right of -1.

-1/2 is greater than -1.

-1/4 is greater than -1.

-5/2 is the same as -2 1/2.  This is smaller than -1.  Eliminate this choice

Answer:

4/5

Step-by-step explanation:

Answer:ok

Step-by-step explanation:

Answer:

i felt that

Step-by-step explanation:

Answer:

The final balance is $853.63.

The total compound interest is $453.63.

The compound interest on initial balance is $59.47.

The compound interest on additional deposits is $394.16.

The final balance of initial money is $459.47.

The final balance of additional deposit is $394.16.

The sum of the additional deposits is $0.

The total principal (initial balance plus total additional deposits) is $400.

Step-by-step explanation:

with the information you provided

choose as brainliest

Answer:

there are 8 one dollar bills and 3 five dollar bills

Step-by-step explanation:

Answer:

volume of a cylinder is πr²h

ie

3.14 × 7× 7 × 11

you get

1692.46

Answer:

Step-by-step explanation:

Hello! So with finding out the total + tax, we just multiply $12.50 by .15 (that is our 15% tip). Then we add that new number to $12.50 and that is the total with the tip! Let's do it,

12.50 * .15 = 1.88

12.50 + 1.88 = $14.38

Hope that helps, let me know if you have questions!

Answer (assuming it can be in slope-intercept form):

[tex]y = \frac{3}{4} x+2[/tex]

Step-by-step explanation:

When knowing the y-intercept and a slope of a line, you can write its equation in slope-intercept form, or y = mx + b format.  

1) First, find the slope. Use two points from the graph. We can see that the points (0,2) and (4,5) are on the line, therefore substitute their x and y values into the slope formula [tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex] and solve:

[tex]m = \frac{(5)-(2)}{(4)-(0)} \\m = \frac{5-2}{4-0} \\m = \frac{3}{4}[/tex]

Thus, the slope is [tex]\frac{3}{4}[/tex].

2) Next, find the y-intercept of the line by looking at the graph. The y-intercept is the point at which the line intersects the y-axis. By reading the graph, we can see that that point is (0,2), thus 2 is the y-intercept.

3) Now, using the slope-intercept formula [tex]y = mx + b[/tex], substitute the found values for the [tex]m[/tex]  and the [tex]b[/tex] to write the equation of the line.

Since [tex]m[/tex] represents the slope, substitute [tex]\frac{3}{4}[/tex] in its place. Since [tex]b[/tex] represents the y-intercept, substitute 2 in its place. This gives the following answer and equation:

[tex]y = \frac{3}{4} x+2[/tex]

Answer:

a

Step-by-step explanation:

Answer:

your answer for this question would be 25

Since 5 winning numbers are draw and there are exactly 2 winning numbers, the other 3 numbers chosen have to be incorrect.

The 2 numbers picked right, there are 5C2=10 different possibilities.

The other 3 numbers are just picked from the rest of the 32 numbers. Getting there are 32C3=4960 different possibilities.

For each set of 2 correct winning numbers, you could have the 4960 different losing numbers to match up to make a unique set. This meant that there are 4690*10=46900 different total possibilities.

Now the total different outcomes of how you can choose the numbers are 37C5=435897 outcomes.

Now the way to find probabilities is want/total

The want is 46900 and the total is 435897

Doing the division you get the number rounded to the nearest thousandths as   0.107 or in percent form as

10.759% chance of picking exactly 2 winning numbers.

This seems like a competition problem of some sort therefore I assume that you already know what combinations in form nCk and permutation in form nPk means.

Answer:

44

Step-by-step explanation:

A angle bisector is a ray that bisects an angle into two congruent parts.

Using that information, Angle CAP=Angle PAB.

Angle PAB or Angle 2 =22 so using transitive Property, CAP or angle 1 =22.

We are asked to find the full angle so using Angle Addition

Angle CAP+ Angle PAB=CAB

22+22=CAB

44=CAB