Find the area of polygon

Factor: 28k^3-24k^2+49k-42 I will give Brainliest to the first person :)

seropon [69]

Answer:

$(4k^2+7)(7k-6)$

Step-by-step explanation:

Factor each half of the expression separately:

$4k^2(7k-6)+7(7k-6)$

Since both 4k² and 7 are being multiplied by (7k-6), we can combine them to get:

$(4k^2+7)(7k-6)$

5 0

2 years ago

Read 2 more answers

A car rental agency charges $120 per week plus $.12 per mile driven. How many miles did you drive if the total charge is $162?

777dan777 [17]

$\boxed{y=120+0.12x}\\
\\
y=162\\
\\
120+0.12x=162\\
\\
0.12x=162-120\\
\\
0.12x=42\\
\\
x=\frac{42}{0.12}\\
\\
\boxed{\boxed{x=350 \ miles}}$

7 0

3 years ago

Probability question (image included)

Alexandra [31]

Answer:

b

Step-by-step explanation:

3 0

3 years ago

(High points) please solve with explanation

AysviL [449]

Answer:

The area and the perimeter of the picture are:

Area = 160 cm^2
Perimeter = 67.31 cm

Step-by-step explanation:

To find the area of that figure, you can find the area how if it was a rectangle and next subtract the area of the triangle in the upper part. The area of a rectangle could be found by the next formula:

Area of a rectangle = base * height

As you can see in the picture, the base is 16 cm and the height is 12 cm, then we replace in the formula:

Area of a rectangle = 16 cm * 12 cm
Area of a rectangle = 192 cm^2

Now, we calculate the area of the triangle to subtract to the area we found and obtain the real area, the formula to obtain the area of a triangle is:

Area of a triangle = (base * height) / 2

The height of the triangle is 8 cm, and the base is 8 cm too, because you subtract to the base of the rectangle (16 cm) the measurements in the upper part (16 - 4 - 4 = 8), Now, we replace in the formula:

Area of a triangle = (8 cm * 8 cm) / 2
Area of a triangle = (64 cm^2) / 2
Area of a triangle = 32 cm^2

We subtract to the found area:

Area of the picture = 192 cm^2 - 32 cm^2
Area of the picture = 160 cm^2

To find the perimeter, you must add all the sides of the picture, but, as you can see, there is a side that doesn't have the measurent, this is the hypotenuse of the triangle used before, but how we know the other sides, we can use Pythagorean theorem: