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Vinvika [58]
3 years ago
13

Factor completely. y2 - 12y + 32 A. (y + 4)(y + 8) B. (y - 4)(y - 8) C. (y + 18)(y + 2) D. (y - 18)(y - 2)

Mathematics
2 answers:
Nataly [62]3 years ago
8 0

Ask: Which two numbers add up to -12 and multiply to 32?

-8 and -4

Rewrite the expression using the above

<u>= (y - 4)(y - 8)</u>

Nastasia [14]3 years ago
6 0

Answer:

The correct answer is option B.

Step-by-step explanation:

Given quadratic equation : y^2-12y+32

Using middle term splitting theorem:

=y^2-12y+32

=y^2-8y-4y+32

=y(y-8)-4(y-8)

=(y-8)(y-4)

y = 8, 4

The factors of given quadratic equation is (y-8)(y-4).

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Peter received a trophy at the state math competition. His trophy is in the shape of a square pyramid and is covered in wrapping
lakkis [162]

Answer:315 cm

Step-by-step explanation:

7x7

7x9.5

7x9.5

7x9.5

7x9.5

6 0
3 years ago
Eighty, decreased by three times a
Marina86 [1]

Answer:

The number is 9.

Step-by-step explanation:

Lets write this as an equation first. We'll substitute the number for the variable <em>x</em>.

80 - 3x = 5x + 8

First, let's add 3x to both sides.

80 - 3x + 3x = 5x + 3x + 8

80 = 8x + 8

Next, let's subtract 8 from both sides.

80 - 8 = 8x + 8 - 8

72 = 8x

Finally, let's divide both sides by 8.

72/8 = 8x/8

9 = x

<em>"x" is 9.</em>

<em>So the secret number is 9.</em>

P.S.

This is my first answer to a Brainly question so please don't complain!

6 0
2 years ago
1.4t - 0.4 (t- 3.1) =5.8
GenaCL600 [577]
1 Expand
1.4t-0.4t+1.24=5.8

2 Simplify 1.4t-0.4t+1.241.4t−0.4t+1.24 to t+1.24t+1.24
t+1.24=5.8

3 Subtract 1.241.24 from both sides
t=5.8−1.24

4 Simplify 5.8-1.245.8−1.24 to 4.564.56
t=4.56
7 0
3 years ago
15 dived by 6 2/3 <br><br> A) 2 3/4<br><br> B) 100 1/4<br><br> C) 2 1/4<br><br> D) 100
Lady bird [3.3K]
15 divided by 6 2/3 is 2.25. Or 2 1/4. Pick C
4 0
3 years ago
find the component equation of the plane which is normal to the vector -2i+5j+k and which contains the point (-10;7;5).​
maksim [4K]

Given:

A plane is normal to the vector = -2i+5j+k

It contains the point (-10,7,5).​

To find:

The component equation of the plane.

Solution:

The equation of plane is

a(x-x_0)+b(y-y_0)+c(z-z_0)=0

Where, (x_0,y_0,z_0) is the point on the plane and \left< a,b,c\right> is normal vector.

Normal vector is -2i+5j+k and plane passes through (-10,7,5). So, the equation of the plane is

-2(x-(-10))+5(y-7)+1(z-5)=0

-2(x+10)+5y-35+z-5=0

-2x-20+5y-35+z-5=0

-2x+5y+z-60=0

-2x+5y+z=60

Therefore, the equation of the plane is -2x+5y+z=60.

4 0
2 years ago
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