MATHEMATICS HIGH SCHOOL

Example 1. Increase 120 by 10%. 2. Decrease 2 500 by 7%.​

Answers

Answer 1
Answer:

Answer:

Step-by-step explanation:

E1 = 120 * 110% = 132

E2 = 2500*93%=2325

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What is the solution to the equation?4(3 + 7) = 4 • x + 4 • 7

A.
x = 3

B.
x = 4

C.
x = 7

D.
x = 10

Answers

Hello,

answer A: x=3

4(3+7)=4x+4*7
==>4*10=4(x+7)
==>x+7=10
==>x=10-7
==>x=3

If y = 9 and x = 12, what additional information is necessary to show that using the SAS postulate?

Answers

I saw the image that should have accompanied this question.

Δ DMU & Δ MPA both are right triangles.

DMU: short leg = 12 ; hypotenuse = 15
MPA: short leg = 0.5x + 6 ; hypotenuse = 2y - 3

x = 12 ; y = 9

12 = 0.5(12) + 6
12 = 6 + 6
12 = 12

15 = 2y - 3
15 = 2(9) - 3
15 = 18 - 3
15 = 15

SAS postulate states that if 2 sides and 1 angle of 1 triangle is congruent to the 2 sides and 1 angle of another triangle. Then, these triangles are congruent.

Since sides are already computed, you need to look for the congruent angles of each triangle. In this case, since both are right triangles, its congruent angle is 90°

Which of the following statements is false?

Answers

Answer:



B. FALSE


Step-by-step explanation:


A. (8y^2+2)-(4-2y^2)



We expand the brackets to get,


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



Group like terms,


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


Simplify,



=10y^2-2


TRUE


B. (y^2-7)+(2y+2)



Rearrange the terms,


=y^2+2y-7+2


Simplify,


=y^2+2y-5




(y^2-7)+(2y+2)\ne y^2-9



FALSE



C


(y^2-7)+(2y^2+3)



Group like terms,


=y^2+2y^2-7+3


Simplify,



=3y^2-4



TRUE



D. (y^3-y)-(y^2+4)


Expand brackets



=y^3-y-y^2-4


Rewrite in descending powers of y,



=y^3-y^2-y-4




TRUE

What is the radius of the circle given by the equation below? x2 - 2x + y2 - 2y - 98 = 0?

Answers

Complete the square for the given equation
x² - 2x + ____ + y² - 2y + _____ = 98
x² - 2x + (1) + y² - 2y + (1) = 98 + (1) + (1)
(x - 1)² + (x - 1)² = 100
(x - 1)² + (x - 1)² = 10²

Now the equation is in the form (x - h)² + (y - k)² = r²

Radius = 10

How do you find the length of a circle in geometry?

Answers

Exactly the same way you find any missing item in any other subject:
You take the information you're given, and you collect everything you know about
relationships between the information you have and the item you have to find.
Finally, you use the relationships and the given information to find the value of the
missing item.

The process you'll use to find the circumference of a circle will depend on what
information you DO have about the circle.
the length of the circle is the same thing as its circumference
circumference= 2×π×radius²

Each day at school Kai records his homework assignments in a small notebook each page of the notebook measures 2 1/4 inches by 3 1/2 find the area of one page

Answers

7 7/8 inches

All I did was multiply 2 1/4 by 3 1/2.

I hope this helps!
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