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IRISSAK [1]
3 years ago
8

What is the slope & y-intercept of this equation? y = -1/3x - 5

Mathematics
1 answer:
Archy [21]3 years ago
3 0
Slope : -1/3
Y - intercept : -5
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the volume of a rectangular prism can be computed using the formula V=lwh what is the width of a prism that has a volume of 240
Anuta_ua [19.1K]
The width would be 4 centimeters
6 0
3 years ago
Find the shaded region of the figure below​
lilavasa [31]

Answer:

-x³ + 3x² - 14x + 12

Step-by-step explanation:

Area of outer rectangle = (x² + 3x - 4) * (2x - 3)

      = (x² + 3x - 4) * 2x  + (x² + 3x - 4) * (-3)

     =x²*2x + 3x *2x - 4*2x  + x² *(-3) + 3x *(-3)  - 4*(-3)

     =2x³ + 6x² - 8x - 3x² - 9x + 12

    = 2x³ + <u>6x² - 3x²</u>   <u>- 8x - 9x</u> + 12     {Combine like terms}

    = 2x³ + 3x² - 17x + 12

Area of inner rectangle = (x² - 1)* 3x

                                       = x² *3x - 1*3x

                                       = 3x³ - 3x

Area of shaded region = area of outer rectangle - area of inner rectangle

         = 2x³ + 3x² - 17x + 12 - (3x³ - 3x)

         = 2x³ + 3x² - 17x + 12 -3x³ + 3x

        = 2x³ - 3x³ + 3x² - 17x + 3x + 12

        = -x³ + 3x² - 14x + 12

4 0
3 years ago
Graph the following inequality. Then click to show the correct graph. x &lt; -1
docker41 [41]

Answer:

The graph in the attached figure

Step-by-step explanation:

we have

x < -1

The solution is the interval ----> (-∞,-1)

All real numbers less than -1

On a number line the solution is the shaded area at the left of x=-1 (open circle)

using a graphing tool

see the attached figure

8 0
3 years ago
In J, K is the midpoint. The coordinates of ) are (2, 2), and the coordinates of Kare (10, 11). What are the coordinates of L?
DiKsa [7]

Answer:

L(18, 20)

Step-by-step explanation:

In JL, K is the midpoint. The coordinates of J are (2, 2), and the

coordinates of K are (10, 11). What are the coordinates of L?

Solution:

If O(x, y) is the midpoint between two points A(x_1,y_1) and B(x_2,y_2). The equation to determine the location of O is given by:

x=\frac{x_1+x_2}{2} \\\\y=\frac{y_1+y_2}{2}

Since JL is a line segment and K is the midpoint. Given the location of J as (2, 2) and K as (10, 11). Let (x_2,y_2) be the coordinate of L. Therefore:

10=\frac{2+x_2}{2} \\\\20=2+x_2\\\\x_2=18

11=\frac{2+y_2}{2} \\\\22=2+y_2\\\\y_2=20

Therefore L = (18, 20)

4 0
3 years ago
Triangle ABC is dilated to form new triangle DEF. If angle A is congruent to angle D, what other information will prove that the
goldfiish [28.3K]

Answer:

angle c is congruent to angle D.

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
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