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Anestetic [448]
3 years ago
8

Expand (n+5)*2 by using the perfect square pattern

Mathematics
1 answer:
mario62 [17]3 years ago
8 0
N^2 + 25 if you mean *2 is squared.
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Consider the quadratic equations
Debora [2.8K]
Consider the two functions as
<span>y1(x) =3x^2 - 5x, 
y2(x) = 2x^2 - x - c

The higher the value of c, father apart the two equations will be.
They will touch when the difference, i.e. y1(x)-y2(x)=x^2-4*x+c has a discriminant of 0.
This happens when D=((-4)^2-4c)=0, or when c=4.
(a)
So when c=4, the two equations will barely touch, giving a single solution, or coincident roots.
(b) 
when c is greater than 4, the two curves are farther apart, thus there will be no (real) solution.
(c) 
when c<4, then the two curves will cross at more than one location, giving two distinct solutions.

It will be more obvious if you plot the two curves in a graphics calculator using c=3,4, and 5.


</span>
6 0
3 years ago
Read 2 more answers
Lucy draws a rectangle that is not a square. The perimeter of the rectangle can be
shusha [124]
Answer is i think c
I think C
8 0
2 years ago
HELP WILL MARK BRAINLIEST <br> If the sin 60° is
uranmaximum [27]
The answer is the 3rd option


30-60-90 triangle for reference

Remember soh cah toa

O:opposite, a:adjacent, h:hypotenuse

S:sin c:cosine t:tangent

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4 0
2 years ago
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franklin school has 3 boys for every 4 girls in the fifth grade. there are 140 students in the 5th grade. How many boys are ther
marin [14]

Answer:

There are 60 boys and 80 girls in Franklin School.

Step-by-step explanation:

"franklin school has 3 boys for every 4 girls in the fifth grade." means that the ratio of boys to girls is: 3:4

It can also be written as 3/4

Also given

Total number of students: 140

We will use ratios to find the number of boys and girls in shool.

First of all, we have to calculate the sum of ratio which is: 3+4 = 7

Let b be the number of boys and g be the number of girls

Then

b = \frac{Ratio\ of\ boys}{Sum\ of\ ratio} * Total\ students\\= \frac{3}{7} * 140\\= 3*20\\=60\\g = \frac{Ratio\ of\ girls}{Sum\ of\ ratio} * Total\ students\\g = \frac{4}{7}*140\\= 4*20\\=80

Hence,

There are 60 boys and 80 girls in Franklin School.

3 0
2 years ago
I need help really bad I'm gonna give 25 points who helps me
Feliz [49]
I hope this helps you

6 0
3 years ago
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