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2 years ago

Write an equation of a quadratic function that has x-intercepts -1 and 4 and a y-intercept of 3.

Mathematics

1 answer:

igomit [66]2 years ago

5 0

Y=(x+1)(x-4)

this should be correct.

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Pleaseeeeee help <br><br> The measure of angle is (5pi)/6 The equivalent measurement in degrees is

Archy [21]

Answer:

To convert from degree to radian we multiply the angle by

π/180

To convert from radian to degree we multiply the angle by

180/π

5π/6,

Multiply by

180/π

5π/6 × 180/π = 5 × 30 = 150 degrees.

⇒5π/6 radian =150 degree.

7 0

2 years ago

Semicircles

Studentka2010 [4]

Answer:

The area of the shaded portion of the figure is $9.1\ cm^2$

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

The shaded area is equal to the area of the square less the area not shaded.

There are 4 "not shaded" regions.

step 1

Find the area of square ABCD

The area of square is equal to

$A=b^2$

where

b is the length side of the square

we have

$b=4\ cm$

substitute

$A=4^2=16\ cm^2$

step 2

We can find the area of 2 "not shaded" regions by calculating the area of the square less two semi-circles (one circle):

The area of circle is equal to

$A=\pi r^{2}$

The diameter of the circle is equal to the length side of the square

$r=\frac{b}{2}=\frac{4}{2}=2\ cm$ ---> radius is half the diameter

substitute

$A=\pi (2)^{2}$

$A=4\pi\ cm^2$

Therefore, the area of 2 "not-shaded" regions is:

$A=(16-4\pi) \ cm^2$

and the area of 4 "not-shaded" regions is:

$A=2(16-4\pi)=(32-8\pi)\ cm^2$

step 3

Find the area of the shaded region

Remember that the area of the shaded region is the area of the square less 4 "not shaded" regions:

$A=16-(32-8\pi)=(8\pi-16)\ cm^2$

---> exact value

assume

$\pi =3.14$

substitute

$A=(8(3.14)-16)=9.1\ cm^2$

8 0

3 years ago

Floyd caught a fish that weighed 2/3 of a pound. Kira caught a fish that weighed 7/8 of a pound. Which fish weighed more.

sashaice [31]

The 7/8 pound fish.

2/3lb = 0.6666 lb
7/8lb = 0.875 lb

3 0

3 years ago

Suppose a 5x8 coefficient matrix for a system has pivot columns. Is the system consistent? Why and Why not?

Lyrx [107]

Step-by-step explanation:

All the 5 rows of the coefficient matrix (since it is of order 5×8) will have a pivot position. The augmented matrix obtained by adding a last column of constant terms to the 8 columns of the coefficient matrix will have nine columns and will not have a row of the form [0 0 0 0 0 0 0 0 1]. So the system is consistent.

7 0

2 years ago

Which of the following is not a postulate of Euclidean geometry?

Readme [11.4K]

It’s C, All equilateral triangles have interior angles equal to 60 degrees

8 0

3 years ago