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Graph the line x=-1 and count how many times the red graph crosses it.

x=-1 crosses it 4 times, around 3, 1.5, -1.5, and -4.

The exterior angles of any polygon sum to 360 degrees. Since it is a 21-gon, 360/21=17 1/7 or ~17.14 degrees for each angle.

Let w be the width of the room and that means the length is 7 plus the width.

w=w l=w+7

The perimeter is 34 meters, and that means 2(w)+2(w+7)=34, 2w+2w+14=34, 4w=20, w= five(5) meters.

Thus, the length of the room is 5+7=twelve(12) meters for option (D).

The exponential growth formula states that a(1+r)^t, where a is the initial amount, r is the ratio, t is the time.

Filling in the values, we have 740(1+0.09)^8=740(1.09)^8=1474.50.

Notice that 3*5=15 and 3*7=21, thus the side lengths are 3 units, 5 units, and 7 units. The total volume is therefore 3*5*7=105 square units.

I noticed this was labeled practice, so I'm assuming its practice material for schoolwork. You should try this yourself first, before posting on this forum. If you already tried to solve the problem, then explain what you did, and where your logic falls short.

AC divides the quadrilateral into two triangles, triangle(ABC) and triangle(ADC)

Each two sides of the triangle must have a sum greater than the third side.

In triangle(ABC), AC can be 4, 5, 6, 7, or 8

In triangle(ADC), AC can be 1, 2, 3, 4, 5, 6, or 7.

Combining the two, we get 4, 5, 6, or 7.

This can't be correct --

-- if WZ and WX are tangent to a circle, ZX can't pass through the center

-- where is Y?

Driving 180 km at 90 km/h would take 2 hours.    (180 km / 90 km/h  =  2 h.)

Driving 180 km at 60 km/h would take 3 hours.     (180 km / 60 km/h  = 3 h.)

The total distance of the trip is 180 km + 180 km  =  360 km.

The total time is 2 h + 3 h = 5 h.

The average speed = 360 km / 5 h = 72 km/h.

Thank you!

61 degrees is an alternate interior angle to angle 1.

61+60=121

180-121=59.

Angle 4 is 59 degrees.

Angle 1 is 61 degrees.

Angle 2 is 59 degrees.

Angle 3 is 180-59= 121 degrees.

a=-149;c=2#(a+150);printc, a; a++;if(a<100, goto1, 0)
OUTPUT:
-149, -146, -141, -134, -125, -114, -101, -86, -69, -50, -29, -6 = 12 negative values.

The slope between the two lines is (1 - 3)/(2 - 3) = 2.  Then by point-slope form, the equation of the line is y - 1 = 2(x + 2) = 2x + 4.

Putting this into standard form, we get 2x -y = -5.

Equation:

Let c=cotton candy

      s=soda

---Equations---

s+c=60

3.5c+1.5s=120

3.5c+3.5s=210

3.5c+1.5s=120

2s=90

s=45

So, they sold 45 sodas and 15 cotton candies.

YUMMMMM!!!!

12 perfect squares

Let Lindsay's age = L

           Mark's age = M

Lindsay is 5 years younger than Mark:  L  =  M - 5

Seven years ago the sum of their ages was 31:  (L - 7) + (M - 7)  =  31

Using your formula:  P(1 + r)^t

with P = 240 000

        r = 0.04

        t = 12

--->   240000(1 + 0.04)¹²  =         

Hint:

   3sqrt(5) is about 6.7

   5sqrt(3) is about 8.6

Hint:  how many perfect squares are there between 0 and 150?

First:  find the slope:  slope  =  ( y₂ - y₁ ) / ( x₂ - x₁ )  =  ( 1 - -5 ) / ( 6 - -3 )  =  6 / 9  =  2/3

Then:  use the point-slope form for a straight line:  y - y₁  =  m(x - x₁)   --->   y - -5  =  (2/3)(x - -3)

          --->   y + 5  =  (2/3)(x + 3)    

          --->  3y + 15  =  2(x + 3)

          --->   3y + 15  =  2x + 6

         --->   -2x + 3y  =  -9

        --->   2x - 3y  =  9

sqrt( 108a⁶ )  =  sqrt( 36·3·a⁶ )  =  6·|a³|·sqrt(3)

y  =  x² + 7

To find an inverse:

First:  interchange x and y   --->   x = y² + 7

Second:  solve for y:   --->   y² + 7  =  x

                                                   y²  =  x - 7

                                                   y  =  +/- sqrt(x - 7)

Because of the +/- sign, there is no unique inverse.

Which equation can be simplified to find the inverse of y = x2 – 7?

Hello izzy024!

\(y = x^2 – 7\ ⇒\) \(x=y^2-7\)

\(x=y^2-7\\ y^2=x+7\)

\(y=\pm\sqrt{x+7}\)

  !