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Leno4ka [110]
3 years ago
5

Write the quadratic equation whose roots are 5 and 1, and whose leading coefficient is 5

Mathematics
1 answer:
zepelin [54]3 years ago
3 0

Answer: the equation is

5x^2 -30x - 25

Step-by-step explanation:

A quadratic equation is one in which the highest power of the unknown is 2.

The general form of a quadratic equation is expressed as

ax^2 + bx + c

Where c is a constant and a is the leading coefficient

Assuming we want to write the quadratic equation in x, from the information given, the given roots are 5 and 1 and the leading coefficient is 5. We will just multiply the expression by the leading coefficient.

Therefore, the linear factors of the quadratic will be (x-5) and (x-1)

With the leading coefficient as 5, the equation becomes

5(x-5)(x-1)

= 5(x^2 - x - 5x + 5)

= 5(x^2 - 6x + 5)

= 5x^2 -30x - 25

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The entires of the first row are
zubka84 [21]

Answer:

The answer is 3, 6.

Step-by-step explanation:

The numbers in the top rows on the left side of the equation is 1, 4 and 2, 2.

1, 4 + 1, 2 = (1 + 2), (4 + 2) = 3, 6

7 0
3 years ago
Could somebody please answer these four questions with simple yet explanatory answers?
Kamila [148]
1) Surface Area = 2(lw + lh + wh)
2(4*5+4*9+5*9) =202in^2
Surface Area=202in^2
Lateral Area= Perimeter of base * height
5+5=10  <--width+width
4+4=8 <---length + length 
10+8=18  <--total perimeter
18 * 9=162in^2  <--multiplied the height +perimeter of base  
Lateral Area=162in^2

2) Same concept as the previous one
 Surface Area = 2(lw + lh + wh)
2(4*2+4*5+5*2) =76in^2
Surface Area= 76in^2

Lateral Area
Lateral Area= Perimeter of base * height
4+4=8
2+2=4
8+4=12
12 x 5=60
Lateral Area= 60in^2  
7 0
3 years ago
Read 2 more answers
X+9=24 how to solve for x
rodikova [14]
You can easily do just one step to get the value of x.

x + 9 =24            subtract 9 from both sides

x + 9 - 9 = 24 - 9

Simplify:

x = 15


I hope I helped you.



5 0
3 years ago
Read 2 more answers
Peter leaves his house and walks 15 meters south, then turns east and walks another 15 meters. How far is he from his house? Rou
Varvara68 [4.7K]
When Peter does this, he is creating two sides of a right-angle triangle. The distance from his house to that point will be the hypotenuse of the triangle thus, to work out the length of the hypotenuse, we have to use Pythagoras Theorem! So:

a² + b² = c²
15² + 15² = c²
225 + 225 = c²
450 = c²
15√2 = c
21.21320344 = c

So, this rounded to the nearest tenth would be:

21.2 meters !


4 0
3 years ago
What is the equation of a line, in general form, with a slope of -2 and a y-intercept of 8?
Ksenya-84 [330]

Answer:

y = -2x + 8 is the answer to the question

8 0
3 years ago
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