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MatroZZZ [7]
3 years ago
9

Given that g(x)=x^2 find each of the following

Mathematics
1 answer:
lubasha [3.4K]3 years ago
5 0

What are the following?


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Suppose that the given line has a slope of -2/3 and a y-intercept of (0,5/3). which of the following points is also a solution t
otez555 [7]

Answer:

From five given points it is find that points (1 , 1) and (4 , -1) will apply

Step-by-step explanation:

According to question,

Slop of line (m) = \frac{-2}{3}

And y-intercept is ( 0, \frac{5}{3})

So from above slope and points, the equation of line can be written as

y = mx + c

i.e \frac{5}{3} = \frac{-2}{3} x + c

    \frac{5}{3} = \frac{-2}{3} (0) + c

    \frac{5}{3} = 0 + c

Or, c = \frac{5}{3}

A) With points ( 5, \frac{5}{3} )

   At x = 5, y =\frac{-2}{3} (5) + \frac{5}{3}

            or, y = \frac{-10}{3} + \frac{5}{3}

            so, y = \frac{-5}{3}

Hence this points do not apply

B) With points ( 1 , 1 )

   At x = 1, y =  \frac{-2}{3} (1) +  \frac{5}{3}

      or,      y =  \frac{-2+5}{3}

      So,     y =  \frac{3}{3}

                y = 1

Hence this points will apply

C) With points ( 4 , -1 )

    At x = 4 , y =  \frac{-2}{3} (4) +  \frac{5}{3}

                    y =  \frac{-8+5}{3}

                    y =  \frac{-3}{3}

             So,  y= -1

Hence this points will apply

D) With points (-3 ,7)

    At x = - 3, y = \frac{-2}{3} (-3) +  \frac{5}{3}

                     y = \frac{14}{3}

 Hence this point will not apply

E) with points (0 , 0)

    At x 0,     y =  \frac{-2}{3} (0) +  \frac{5}{3}

               Or, y = 0 +  \frac{5}{3}

                     y =  \frac{5}{3}

Hence this point will not apply

∴ From above five given points it is find that points (1 , 1) and (4 , -1) apply

Answer

7 0
3 years ago
A rectangular field is 280 m by 390 m. A rectangular barn 25 m by 33 m is built in the field. How much area is left over?
igomit [66]
Field area:

280 x 390 = 109,200 m²

Barn area:

25 x 33 = 825 m²

let area:   109,200 - 825 = 108,375 m²


5 0
3 years ago
Choose the explanation that shows why ΔADE is similar to ΔABC.
Natasha2012 [34]

Recall that a dilation with center (0, 0) and scale factor k maps (x,y) onto (kx, ky).

Now, triangle ADE is formed by

A=(0,0),\quad D=(0,2),\quad E=(4,0)

Whereas triangle ABC is formed by

A=(0,0),\quad B=(0,4),\quad C=(8,0)

In other words, the coordinates of B and C can be obtained by multiplying by 2 the coordinates of D and E.

This means that you get ABC from ADE by dilating with center (0,0) and scale factor 2.

5 0
3 years ago
Read 2 more answers
HELP !!! | 20 Points.
RUDIKE [14]

Answer:

No. The ladder is too steep.

Step-by-step explanation:

Length of ladder = 17 feet.  This is the hypotenuse.

Side a of a right triangle = 16.6

To answer this, you need one of the trigonometric functions.  

Opposite = 16.5

hypotenuse = 17

The function you need is the sine function.

Sin(theta) = opposite / hypotenuse

sin(theta) = 16.5 / 17

Sin(theta) = 0.97059

theta = sin-1(0.07059)

theta = 76.07

No the ladder is too steep.

5 0
3 years ago
Read 2 more answers
Select the correct answer.<br> Gio created a scatter plot and drew a line of best fit, as shown
MrRissso [65]

Answer:

y=3x+5 is the answer for this question

7 0
3 years ago
Read 2 more answers
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