MATHEMATICS HIGH SCHOOL

8 m
15 m
What is the perimeter?

Answers

Answer 1
Answer:

Answer:

The perimeter is 46.

Step-by-step explanation:

You have to add the numbers 15 + 15 = 30 and 8+8 =16 then add 30 plus 16 which gets you 46.
Answer 2
Answer:

Answer:

The perimeter is 46

Step-by-step explanation:

do the math 8+8=16 15+15=30 30+16=46

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The product of two consecutive integers is 420. An equation is written in standard form to solve for the smaller integer by factoring.What is the constant of the quadratic expression in this equation?

x2 + x + ___ = 0

Answers

Answer:

  • The product of two consecutive integers is 420:

20*21 = 420 and (-21)*(-20) = 420

  • What is the constant of the quadratic expression in this equation?

Any constant less or equal than 0.25

Step-by-step explanation:

The product of two consecutive integers is 420 can be expressed mathematically as follows:

x*(x+1) = 420

After applying distributive property and subtracting 420 at both sides, we get:

x^2 + x - 420 = 0

In order to factorise, we use the quadratic equation as follows:

x = (-b \pm √(b^2-4(a)(c)))/(2(a))

x = (-1 \pm √(1^2-4(1)(-420)))/(2(1))

x = (-1 \pm √(1681))/(2)

x = (-1 \pm 41)/(2)

x_1 = (-1 + 41)/(2)

x_1 = 20

x_2 = (-1 - 41)/(2)

x_2 = -21

Then, 20*21 = 420 and (-21)*(-20) = 420

A quadratic equation with the standard form has a solution to the equation:  a*x^2 + b*x + c = 0 if its discriminant is greater or equal than zero. Mathematically:

b^2-4(a)(c) >= 0

Here a = 1 and b = 1; then,

1^2-4(1)(c) >= 0

-4(c) >= -1

c <= -1/-4

c <= 0.25
x(x + 1) = 420
x^2 + x = 420
x^2 + x + (- 420) = 0 or x^2 + x - 420 = 0

How many times greater is 700,000 than 70,000

Answers


700,000 is x of 70,000
700,000=x times 70,000
divide both sides by 70,000
10=x

answer is 10 times
10 times greater, if u multiply 70,000 by 10, you 'insert a zero' at the end, making it 700,000, 10 moves the decimal left and right one, just depends on if u multiply or divide

CheckWhat is the slope of the line on the graph?
X
-2
2.
4
-2
-4

Answers

slope = (1)/(2)

Hope it helps you...

The length of a rectangle is 7m more than its width. The perimeter of the rectangle is 60m. What are the dimensions?

Answers