MATHEMATICS HIGH SCHOOL

Find the diagonal of a square whose area is 64 M2

Answers

Answer 1

Answer:

Answer:

Square area =c²

64=c²

c=√64 = 8m

we calculate the diagonal

d²=8²+8²

d²=128

d= √128 = 8√2 exact value

Step-by-step explanation:

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Which numbers multiply to 50 and add to 6

Answers

xy = 50
x + y = 6

$xy = 50$
$(xy)/(x) = (50)/(x)$
$y = (50)/(x)$

$x + y = 6$
$x + (50)/(x) = 6$
$(x^(2))/(x) + (50)/(x) = 6$
$(x^(2) + 50)/(x) = 6$
$x^(2) + 50 = 6x$
$x^(2) - 6x + 50 = 0$
$x = \frac{-(-6) \± \sqrt{(-6)^(2) - 4(1)(50)}}{2(1)}$
$x = (6 \± √(36 - 100))/(2)$
$x = (6 \± √(-64))/(2)$
$x = (6 \± 8i)/(2)$
$x = 3 \± 4i$
$x = 3 + 4i$ $or$ $x = 3 - 4i$

x + y = 6
  3 + 4i + y = 6
- (3 + 4i) - (3 + 4i)
y = 3 - 4i
(x, y) = (3 + 4i, 3 - 4i)

or
  x + y = 6
  3 - 4i + y = 6
- (3 - 4i) - (3 - 4i)
y = 3 + 4i
  (x, y) = (3 - 4i, 3 + 4i)

(x, y) = (3 ± 4i, 3 ± 4i)

The two numbers that multiply to 50 and add up to 6 are 3 ± 4i.

if a storm window has an area of 315 square inches what are the dimensions if the window is 6 inches higher than it is wide ( x represents height)?

Answers

Hey there! The formula for area is area=l*w, l=w+6. Let's begin, 315=(w+6)(w), 315=w^2+6w, 0=w^2+6w-315, 0=(w+21)(w-15), w+21=0w-15=0, w=-21w=15. Therefore, we come up with a answer of w=15 and l=21.

What is the elapsed time between 3:40 am and 2:00 pm?

Answers

10 hours and 20 minutes is the answer. Adding 20 minutes makes it 4am. From 4am to 2pm is 10 hours.

How do you solve these?

Answers

#2
2x^2 +9x-18
= (2x-3)(x+6)

#3
(3x+4)(2x-3)3
= (6x^2 + 8x - 9x - 12)3
= (6x^2 - x - 12)3
= 18x^2 -3x - 36

Please Help?what is the algebraic expression for the following word phrase "6 times of the difference of b and p"

1) 6b-9

2)6(b-p)

3)6-bp

4)6bp

Answers

2) 6(b-p)
Because it’s the difference and difference is subtract

Find (f∘g)(x).f(x)=5x+1
g(x)=2x
Write your answer as a polynomial in simplest form.

Answers

(f o g)=f(g(x))
just sub
f(g(x))
sub g(x) for x in f(x)
g(x)=2x
2x=x in f(x)
f(g(x)=f(2x)=5(2x)+1=10x+1

(f o g)=10x+1

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