MATHEMATICS HIGH SCHOOL

Solve the quadratic equation y^2-5y=-4 by factoring.

Answers

Answer 1
Answer: y^2-5y=-4\ny^2-5y+4=0\ny^2-y-4y+4=0\ny(y-1)+4(y-1)=0\n(y+4)(y-1)=0\ny=-4 \vee y=1

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Simplify an expression for the perimeter of the equilateral triangle shown below, in centimeters.Show your work AND Label your answer!1.75x – 2

Help me please cant figure it out
D;

Answers

supplementary angles sum up to 180°, so let's say we have two angles, a and b, a + b = 180, but we know that a is twice the measure of her partner, so a = 2b.

How can a geologist tell if a metamorphic rock is foliated

Answers

Answer:

Step-by-step explanation:

Foliation forms when pressure squeezes the flat or elongate minerals within a rock so they become aligned. These rocks develop a platy or sheet-like structure that reflects the direction that pressure was applied.

If the floor of a square office is 225 square units, what is the perimeter of the office?

Answers

The perimeter of an office whose floor area is 225 square units is 60 units

Further Explanation

Area

  • Area is a measure of how much space is occupied by a given shape.
  • Area of a substance is determined by the type of shape in question.

For example;

  • Area of a rectangle is given by; Length multiplied by width
  • Area of a triangle = 1/2 x base x height
  • Area of a circle = πr². where r is the radius of a circle,
  • Area of a square = S², Where s is the side of the square.etc.

Perimeter

  • Perimeter is defined as the distance along a two dimension shape.  Perimeter of different shapes is given by different formulas

For example;

  • The perimeter of a rectangle = 2(length+width)
  • The perimeter of a triangle = a+b+c; where a, b and c are the sides of the triangle. etc.

In this case;

We are given the area of a square as 225 square units

Therefore; since the area of a square is given as s², where s is the side of the square.

Then; s² = 225

         s = √ 225

             = 15 units

But Perimeter of a square is given by; 4 × s

Thus; Perimeter = 4 × 15 units

                           = 60 units

Keywords; Perimeter, Area

Learn more about;

Level: Middle school

Subject; Mathematics

Topic: Area and Perimeter

Square have 4 equal sides length = a

A = 255 
A = a^2

255 = a^2   |sqrt
15 = a

P = 4a 
P = 4*15 = 60

The Giant Angle ChallengeAny tips? Im struggling a lot.

The goal is to find each measure.

Answers

Tips:

Go one by one starting from the given info.

Let me give u a starting point.

angles 31, 44 are 108 degrees. and angle 37 is 120 degrees.

For example, since BQP is an eq. triangle, angles 3, 4, and 11 are 60 degrees. SO are angles 10 and 9. This means that angle 5 is 60 degrees

Keep on doing this and you will figure out the rest of the angles

What is the 10th term of the sequence 64, 16, 4,...?a. 1/1024

b. 1/256

c. 1/4096

d. 1/496

Answers

Each time we are dividing by 4.
Essentially, multiplying by 1/4.
Since we're multiplying, that makes this a geometric sequence!

So: Our first term is 64, and the common ratio is 1/4.
Let's plug that into the geometric sequence formula.

a_n=a_1(r)^(n-1)

Where a_n = the value of the nth term
a_1 = the first term, and r = the common ratio

a_n=64(\frac14)^(n-1)

Now that we have our equation, let's plug in 10 for n.
That way, we can solve to find a_(10), the value of the 10th term.

a_(10)=64(\frac14)^(10-1)=\boxed{(1)/(4096)}

the answer is C. 1/4096

A braid was bought to put around a blanket that measures 23 inches by 24 inches, At $0.60 per yard how much was paid for the braid if it can only be purchased by the full yard?

Answers

I am pretty sure that If you buy 3 yards it is $1.80. I hope this helps!! :)
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