Ratios are the quantitative relation between two amounts showing the number of times one value contains or is contained within the other.

Equivalent ratios are like equivalent fractions, if they are the same value they are equivalent.

For example, to find two ratios that are equal to 1:7, first write 1:7 as the fraction 1/7.

7 0

3 years ago

What multiplies to 16 and adds to negative 12

Romashka-Z-Leto [24]

Factor 16 and see the - factor pairs and add them, see which add to -12
-1-16=-17 nope
-2-8=-10 nope
-4-4=-8
hmm

we will solve with math
xy=16
x+y=-12
minus x both sides
y=-12-x
sub for y in other equation
x(-12-x)=16
-12x-x^2=16
add 12x+x^2 both sides
0=x^2+12x+16
use quadratic formula
if you have
ax^2+bx+c=0
x= $\frac{-b+/- \sqrt{b^{2}-4ac} }{2a}$

0=x^2+12x+16
a=1
b=12
c=16

x= $\frac{-12+/- \sqrt{12^{2}-4(1)(16) }}{2(1)}$
x= $\frac{-12+/- \sqrt{144-64 }}{2}$
x= $\frac{-12+/- \sqrt{80}}{2}$
x= $\frac{-12+/- 4\sqrt{5}}{2}$
x= $\frac{-6+/- 2\sqrt{5}$
x= $\frac{-6+ 2\sqrt{5}$ or $\frac{-6- 2\sqrt{5}$

aprox
x=-1.52786 or -10.4721

those are the numbers

the numbes are -1.52786 or -10.4721

6 0

3 years ago

Read 2 more answers

What is the surface area of the rectangular prism below?

Andrew [12]

Answer:

B ( 432 units^2)

Step-by-step explanation:

Total surface area= 2*(6*6)+ 4*(15*6)

There are 2 squares at each end of the same size so total area will be 2*(6*6)

If we look at the rectangles( bottom, top and the sides), we can see that all are of same dimensions and there are 4 of them so it's 4*(15*6)

In short, total surface area= 2*(6*6)+ 4*(15*6) = 432 units^2

5 0

3 years ago

Find the area of the shaded region in the figure below. 5in. 8in.

Fiesta28 [93]

Hi there!

Answer:

The area of the shaded region is 28 in²

Step-by-step explanation:

You will have to do 3 different steps in order to find the area of the shaded region.

First, you will need to find the total area of the rectangle using the values you have and the area formula for a rectangle, which is : A = Length × Width

"A" is the area, which is what we are looking for

The "Length" is equal here to 8 inches

The "Width" is equal here to 5 inches

A = 8 × 5

A = 40 in²

Now that you have the area of the rectanlge, your second step is to find the area of the triangle using the values you have and the area formula for a triangle, which is : A = (Base × Height) ÷ 2

"A" is the area, which is what we are looking for

The "Base" is equal here to 8 inches

The "Height" is equal here to 3 inches

A = (8 × 3) ÷ 2

A = 24 ÷ 2

A = 12 in²

Now that you have both the area of the rectangle and the area of the triangle, all you have to do for your third and final step is subtract the area of the triangle from the area of the rectangle so that you are left with the area of the shaded region :

Area shaded region = 40 in² - 12 in²

Area shaded region = 28 in²

There you go! I really hope this helped, if there's anything just let me know! :)

6 0

3 years ago