All categories

3 years ago

Is (x+1) a factor off (x)=x3+x2−4x−4? A) Yes B) No

Mathematics

2 answers:

Slav-nsk [51]3 years ago

5 0

Answer:

Yes

Step-by-step explanation:

If x + 1 is a factor, x = -1 has to be a root

(-1)³ + (-1)² - 4(-1) - 4

satela [25.4K]3 years ago

4 0

Remainder theorem again...

$p(x)=x^3+x^2-4x-4$

$p(-1)=(-1)^3+(-1)^2-4(-1)-4=0$

So Yes, $x+1$ is a factor.

You might be interested in

Answer the one in the screenshot<br><br> pls male it all correct <br> or i will report u

marusya05 [52]

Answer:

21. yes 22. yes 23: no 24:no 25:yes

6 0

3 years ago

Melly was n years old last year. How old will she be in 4 years time?

deff fn [24]

Answer:

n + 5

Step-by-step explanation:

if last year melly was N year old, she is now n+1 years old.

So, in four years, she will be

(n + 1) + 4 years old

meaning that she will be n + 5 years old.

hope this helps!! :)

6 0

2 years ago

Read 2 more answers

2. Given the equation of a circle in standard form, identify the center, radius, and graph the circle.

Varvara68 [4.7K]

Answer:

Center: ( -1 , 2 )

Radius: 6

Step-by-step explanation:

The equation for a circle is given as follow:

$(x-h)^{2} +(y-k)^{2} =r^{2}$

Where,

the Center is: ( h , k ) (note that the signs of the number are different)

and the radius is: r

So if we compare the original circle equation to the equation in the question we can see that:

$(x+1)^{2} +(y-2)^{2} =36$

the Center is: (-1,2)

and the radius is: $\sqrt{36}$ = 6

2. To draw the graph find points that lay on the circle, it's better to take the values of x and y from the Center:

first sub y=2 in the equation to find the values for x:

$(x+1)^{2} +(y-2)^{2} =36$

$(x+1)^{2} +(2-2)^{2} =36$

$(x+1)^{2} +(0)^{2} =36$

$(x+1)^{2} =36$

$x+1 =±\sqrt{36}$

$x=6-1$ AND $x=-6-1$

$x=5$ AND $x=-7$

The points are A(5,2) and B(-7,2)

second sub x= -1 in the equation to find the values for y:

$(x+1)^{2} +(y-2)^{2} =36$

$(-1+1)^{2} +(y-2)^{2} =36$

$(0)^{2} +(y-2)^{2} =36$

$(y-2)^{2} =36$

$y-2=±\sqrt{36}$

$y=6+2$ AND $y=-6+2$

$y=8$ AND $y=-4$

The points are D(-1,8) and E(-1,-4)

After finding the points write them in the graph and match them together to get the like the circle in the picture below:

8 0

3 years ago

On a coordinate plane, a line has points (negative 2, negative 4) and (4, 2). Point P is at (0, 4). Which points lie on the line

NikAS [45]

Answer:

the correct options are:

(–1, 3), (–2, 2) and (–5, –1)

Step-by-step explanation:

Given that a line passes through two points

A(-2, -4) and B(4, 2)

Another point P(0, 4)

To find:

Which points lie on the line that passes through P and is parallel to line AB ?

Solution:

First of all, let us the find the equation of the line which is parallel to AB and passes through point P.

Parallel lines have the same slope.

Slope of a line is given as:

$m=\dfrac{y_2-y_1}{x_2-x_1}$

$m=\dfrac{2-(-4)}{4-(-2)} = 1$

Now, using slope intercept form ( $y = mx+c$ ) of a line, we can write the equation of line parallel to AB:

$y =(1)x+c \Rightarrow y = x+c$

Now, putting the point P(0,4) to find c:

$4 = 0 +c \Rightarrow c = 4$

So, the equation is $\bold{y=x+4}$

So, the coordinates given in the options which have value of y coordinate equal to 4 greater than x coordinate will be true.

So, the correct options are:

(–1, 3), (–2, 2) and (–5, –1)

8 0

3 years ago

Read 2 more answers

Two vectors a and b have magnitudes 2√2 and 9 respectively. Also, a⋅b=18. Find the angle between a and b to the nearest whole de

ivann1987 [24]

Answer:

The angle is the 32 is the angle

5 0

3 years ago