A system of equations consisting of a circle and a line is graphed. Which statements about the number of possible solutions are correct? Check all that apply.
A circle and a line always intersect, so the system can have an infinite number of solutions.
A circle and a line can intersect at one point, so the system can have one solution.
A circle and a line can intersect at three points, so the system can have three solutions.
A circle and a line can intersect twice, so the system can have two solutions.
A circle and a line do not have to intersect, so the system can have no solution.

Answer:

option 2

Step-by-step explanation:

[tex]ax^2 + bx + c = 0\\Discriminant = b^2 - 4ac[/tex]

36. a = 3 , b = 5, c = 1

[tex]Discriminant = 25 - ( 4 \times 3 \times 1) = 25 - 12 = 13[/tex]

Answer:

x + y = 248

Step-by-step explanation:

Using the property : Sum of co- interior angles = 180

[tex]\angle y + 56 = 180\\\\\angle y = 180 - 56 = 124\\\\\angle x + 56 = 180\\\\\anle x = 180 - 56 = 124\\\\\angle x + \angle y = 124 + 124 = 248^\circ[/tex]

The value of 'x' and 'y' are 124° and 124°, respectively. Thus, the value of the expression x + y will be 248°.

It is a polygon with four sides. The total interior angle is 360 degrees. A parallelogram's opposite sides and angles are parallel and equal.

According to the definition, the value of 'x' and 'y' will be equal.

And the sum of adjacent angles will be 180 degrees. Then the equation is given as,

x + 56° = 180°

x = 124°

The sum of 'x' and 'y' is given as,

x + y = 124° + 124°

x + y = 248°

More about the parallelogram link is given below.

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Answer:

end behavior

Step-by-step explanation:

Answer:

x=8

Step-by-step explanation:

The area of a triangle is

A = 1/2 bh  where b is the base and h is the height

16 = 1/2 (4) x

16 =2x

Divide each side by 2

16/2 = 2x/2

8 =x

The height is 8 units

Answer:

-x-15

Step-by-step explanation:

Expand using the FOIL Method.

add me on Discord for step by step pls

[tex]\implies {\blue {\boxed {\boxed {\purple {\sf {-(x+15)}}}}}}[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]

➺[tex]\:( {x}^{2} - 5)(x + 3) + (x + 4)(x - {x}^{2} )[/tex]

➺[tex] \: {x}^{2} (x + 3) - 5(x + 3) + x(x - {x}^{2} ) + 4(x - {x}^{2} )[/tex]

➺[tex] \: {x}^{3} + 3 {x}^{2} - 5x - 15 + {x}^{2} - {x}^{3} + 4x - 4 {x}^{2} [/tex]

Combining like terms, we have

➺[tex] \: {x}^{3} - {x}^{3} + 3 {x}^{2} + {x}^{2} - 4 {x}^{2} - 5x + 4x - 15[/tex]

➺[tex] \: - x - 15[/tex]

➺[tex]\: - (x + 15)[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}[/tex]

Answer:

3p(5p + 8t)

Step-by-step explanation:

15p^2 + 24pt

3(5p^2 + 8pt)

3p(5p + 8t)

The completely factored form of 15p^2 + 24pt is 3p(5p + 8t).

To factorize the expression 15p^2 + 24pt using superscripts, we can follow the same steps as before.

First, let's find the GCF of the coefficients 15 and 24, which is 3:

GCF(15, 24) = 3

Next, we'll look for the GCF of the variables p^2 and pt, which is p:

GCF(p^2, pt) = p

Now, we can factor out the GCF from each term:

15p^2 + 24pt = 3p(5p + 8t)

Therefore, the completely factored form of 15p^2 + 24pt is 3p(5p + 8t).

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Answer:

229°

Step-by-step explanation:

(180- 32) + (180 - 99)

148 +81

= 229°

Answer:

8 [tex]\frac{2}{3}[/tex]

Step-by-step explanation:

Find the LCD of the two fractions, which is six

3[tex]\frac{1}{2}[/tex] = 3 [tex]\frac{3}{6}[/tex]

---------------------------------------------------------------------------------------------------------------

5[tex]\frac{1}{6}[/tex] + 3 [tex]\frac{3}{6}[/tex] = 8[tex]\frac{4}{6}[/tex]

The next step is to reduce:

8[tex]\frac{4}{6}[/tex] = 8[tex]\frac{2}{3}[/tex]

---------------------------------------------------------------------------------------------------------------

Have a great summer :)

Answer:

Step-by-step explanation:

[tex]5\frac{1}{6} +3\frac{1}{2} =\frac{31}{6} +\frac{7}{2} \\=\frac{31+21}{6}\\=\frac{52}{6} \\=\frac{26}{3} \\=8\frac{2}{3}[/tex]

Answer:

GCF (4 ,6) = 2

Greatest common factor (GCF)

Step-by-step explanation:

Answer:

A) 10-14

B) 45

C) 6.7%

Step-by-step explanation:

A) The interval that contain the most values can be gotten by looking at the histogram and selecting the interval with the highest frequency. Hence the interval 10-14 contains the most values because it has a frequency of 20.

B)The total number of swimmers is gotten by summing all the frequency of each individual lap. Hence:

Total swimmers on team = 10 + 12 + 20 + 0 + 3 = 45 swimmers

C) The percentage of swimmers who swam more than 14 laps = (number of swimmers that swam more than 14 laps/total swimmers) * 100%

The percentage of swimmers who swam more than 14 laps = [(0 + 3)/45] * 100% = (3/45) * 100% = 6.7%

Answer and Step-by-step explanation:

The last answer choice is correct.

Set the product of 7 and 24 equal to the product of 8 and x, and then solve for x

The process being used in the last answer choice is called Cross multiplication, and is used to find the unknown value in fractions.

[tex]\frac{7}{8}[/tex] × [tex]\frac{x}{24}[/tex]

7 × 24 = 8x

168 = 8x

21 = x

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Answer:

C

Step-by-step explanation:

The range of a graph is how far the graph goes up and down. The lower boundary is easy, as we can see that the left side of the line goes down forever, so it is negative infinity. Looking at the top of the graph, we can see that the graph never goes past y=2. So the answer is:

-∞<y<2

Answer:

77

Step-by-step explanation:

10*2+9+3*4^2

10*2+9+3*16

20+9+48

20+57

77

Answer:

Solution is 769/25

Alternate form: 30.76

Step-by-step explanation:

convert decimal into fractions and than solve accordingly.

Answer:

the answer to the question is = -9/35

Answer:

hrs 50   min 14

Step-by-step explanation:

hrs 45 min 67 = hrs 46 min 7

hrs 3. min 67​ = hrs 4 min 7

Total

  hrs 46 min 7

+   hrs 4 min 7

————————

 hrs 50   min 14

Answer:

3

Step-by-step explanation:

g = 7-4 = 3

=> x²+3x -28

__

Answer:What’s the link about ?

Answer:

[tex]P(New\ House) = \frac{1}{6}[/tex]

Step-by-step explanation:

Given

See attachment

Required

[tex]P(New\ House)[/tex]

This is calculated as:

[tex]P(New\ House) = \frac{New\ House}{Total}[/tex]

From the attachment, we have:

[tex]New\ House = 60^o[/tex]

[tex]{Total}= 360^o[/tex] --- total angle in a pie chart

Note that the measurements must be converted to degrees (if not already in degrees).

So, we have:

[tex]P(New\ House) = \frac{60}{360}[/tex]

Simplify

[tex]P(New\ House) = \frac{1}{6}[/tex]

Answer:

January, March, May, July, August, October, and December

Answer:

See the forms below

Step-by-step explanation:

Given data

24 girls to 16 boys

1. Proportion

24 Girls :16 Boys

2. Fraction form

=24/16

=3/2

3. Word form

24 girls to 16 boys

Answer:

18 gallons

Step-by-step explanation:

First get a common denominator (6). So 3/6 are added to the tank when Omar buys 9 gallons of gas. That means for every 1/6, three gallons are added to the tank.

Answer:

1. 6 units

2. 24,000 newspapers

3. 6,000 bricks

4. 81 tons

5. a) 1,250 minutes or 20 hours and 50 minutes

    b) 384 meters

Step-by-step explanation:

ill include a picture of my work if u need it. sorry if its messy, it's how my brain works

Answer:

81

Step-by-step explanation:

a+4

Let a = 87

87+4

81

Answer:

-3

Step-by-step explanation:

y1-y2/x1-x2 = slope

Plug in coordinates (-1,0) and (0,-3)

-3-0/0-(-1)

-3/1

-3

Answer:

-3

Step-by-step explanation:

Pick two points on the line

(-1,0) and (0,-3)

You can find the slope using the slope formula

m = ( y2-y1)/(x2-x1)

   = ( -3-0)/(0- -1)

    = (-3-0)/(0+1)

    = -3/1

    = -3

Answer:

150 degrees

Step-by-step explanation:

8x-10=3x+90

solve for x in calculater

x = 20

Substitute:

3(20)+90 = 150

Answer:

Step-by-step explanation:

8x - 10 = 3x + 90

5x - 10 = 90

5x = 100

x = 20

8(20) - 10 = 160 - 10 = 150

0.28*53+7.50=22.34 dollars

Answer:

x=8

Step-by-step explanation:

4(x+11)=76

4x + 4(11) = 76

4x + 44 = 76

4x = 76-44

4x = 32

x = 32/4

x = 8