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mihalych1998 [28]
3 years ago
5

Using the distributive property to find the product (y — 4)(y2 + 4y + 16) results in a polynomial of the form y3 + 4y2 + ay – 4y

2 – ay – 64. What is the value of a in the polynomial?
Mathematics
2 answers:
klio [65]3 years ago
4 0
I got a =16.
Hope this helps! :D
Mashcka [7]3 years ago
4 0

Answer:

The value of a is 16    

Step-by-step explanation:

Given the product

(y - 4)(y^2 + 4y + 16)

we have to apply the distributive property express the expression in the form

y^3 + 4y^2 + ay - 4y^2 - ay - 64\text{ to find the value of a}

By distributive property

a(b+c)=a.b+a.c

(y - 4)(y^2 + 4y + 16)

y(y^2 + 4y + 16)-4(y^2 + 4y + 16)

y^3+4y^2+16y-4y^2-16y-64

\text{Compare this equation with }y^3 + 4y^2 + ay - 4y^2 - ay - 64

gives a=16

hence, the value of a is 16

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Can someone help solve this?
pogonyaev

Answer:

x = 8

y = 18

Step-by-step explanation:

First, it would be easiest to start by drawing a picture. To do so, draw two simple Isosceles triangles. Then, label their points. One having the points F, U, and N while the other has B, A, and T. Now, since both triangles are congruent, that means that F≅B, U≅A, and N≅T. Because of this knowledge, FN would be congruent to BT. So, you would be able to write that 52 = 14x - 60. By solving that, you would get the answer to x. Moving onto y, you would see that since the triangles are congruent, the interior angles are too. So, you would be able to use angles F and N to find A. By adding them to 180°, the equation would look like: 71° + 36° + (3y + 19)° = 180°. So, you would be able to find the answer to y. Hope this helped!

5 0
3 years ago
Find all solutions (real or complex)
Alchen [17]

Answer:

Step-by-step explanation:

16p² = 29

p² = 29/16

p = ±√(29/16)

x² = -18

x = ±√(-18)

x = ± √9•√2•√-1

x = ± 3√2i

5(x - 1)² + 42 = 447

5(x² - 2x + 1) + 42 = 447

5x² - 10x + 5 + 42 = 447

5x² - 10x - 400 = 0

x² - 2x - 80 = 0

x = (2 ±√(2² - 4(1)(-80))) / (2(1))

x = (2 ±√324) / 2

x = (2 ±18) / 2

x = 1 ± 9

x = -8 , 10

3(x - 9)² = -100

3(x² - 18x + 81) = -100

3x² - 54x + 243 = -100

3x² - 54x + 343 = 0

x = (54 ±√(54² - 4(3)(343))) / (2(3))

x = (54 ±√-1200) / 6

x = (54 ± (20√3)i) / 6

x = 9 ± ⅓(10√3)i

4 0
3 years ago
Y is directly proportional ( x+2)² <br> when x = 8 y= 250 <br> find y when x = 4​
sladkih [1.3K]

Answer:

y=90 when x=4

Step-by-step explanation:

We are given that

y\propto (x+2)^2

When x=8 and y=250

We have to find the value of y when x=4

y=k(x+2)^2

Where k= Proportionality constant

Substitute the values

250=k(8+2)^2

250=100k

k=\frac{250}{100}

k=5/2

Now, substitute x=4 and k=5/2

Then, we get

y=\frac{5}{2}(4+2)^2

y=\frac{5}{2}\times 36

y=90

8 0
3 years ago
I need help on number 23
babunello [35]
Angle a,b,c equals 222; because angle a and b already is 180; so there is a right angle in the top with a 48 degree next to it so add then up and its 138; now subtract 180 which is the total of the total angels with 138 and you get 42; now add that to 180 and you get your answer which is 222. 
5 0
3 years ago
What is the value of x?​
Nataly_w [17]

Answer:

139

Step-by-step explanation:

a pentagon has degrees that add up to 540 so considering youre given 401 degrees the remaining angle has to be 139

5 0
3 years ago
Read 2 more answers
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