Answer:
x = 9
Step-by-step explanation:
Create an equation:
x = some number
and = add
other number = -15
x + (-15) = -6
remove () using rule
x - 15 = -6
add +15 to both sides
x = 9
Answer:
Step-by-step explanation:
Area = 192 m²
Perimeter= 56 m
Width = x m
Perimeter = 56
2*(length + width) = 56
Divide the equation by 2
l + x = 56/2
l + x = 28
l = 28 - x
Area = 192 m²
l * w = 192
(28 - x)*x = 192
28x - x*x = 192
0 = 192 - 28x + x²
x² - 28x + 192 = 0
2) Equation is a quadratic equation. The roots of this equation will the dimensions of the rectangular plot.
3) The roots represent the width and length of the rectangle.
x² - 28x +192 = 0
Sum = -28
Product =192
Factors = -16 , -12 {-16 +(-12) = -28 & (-12)*(-16) = 192}
x² - 28x + 192 = 0
x² - 12x - 16x + (-16)*(-12) = 0
x(x -12) - 16(x - 12) = 0
(x - 12)(x -16) =0
x -12 = 0 ; x - 16 = 0
x = 12 ; x = 16
x = 12 ,16
4) Sum of the roots = 12 + 16 = 28
Sum of the roots = half of the perimeter
5) Product of the roots = 12*16 = 192 = area of the rectangle.
Answer:
Ok
Step-by-step explanation:
I did it now do i get brainliest
The simplest way to think of this is a ratio. In the original 7 cards used for demonstration, 4 are blue. You can write it like this:
Since there are 84 total cards, and you need to find how many total blue cards there are, you can compare the total of the sample to the complete total, and then solve for an x value of total blue cards.
=
You can solve using cross multiplication. 84*4=336. 7*x=336.
x=48
Answer:
A=4
Step-by-step explanation:
you use the Pythagorean Theorem,
a triangle having a Leg b length of 3 and a Hypotenuse c length of 5 would have a Leg a length of 4.
Here is how I solved for Leg a using the Pythagorean Theorem.
Leg a = sqrt[ (Hypotenuse c)2 - (Leg b)2 ]
Leg a = sqrt[ (5)2 - (3)2 ]
Leg a = sqrt[ 25 - 9 ]
Leg a = sqrt[ 16 ]
Leg a = 4
