Does your answer to exercise 12 justify your answer to exercise 11

Using factoring, which values are the solutions to the quadratic equation 2m2+7m−30=0?

Luden [163]

Answer:

B: m = -6 or m = 5/2

Explanation:

$\rightarrow \sf 2m^2 +7m - 30 = 0$

<u>breakdown</u>

$\rightarrow \sf 2m^2 +12m -5m- 30 = 0$

<u>take out common factor</u>

$\rightarrow \sf 2m(m +6) -5(m+ 6) = 0$

<u>collect into groups</u>

$\rightarrow \sf (2m -5)(m+ 6) = 0$

$\rightarrow \sf 2m -5=0, \ m+ 6 = 0$

<u>change sides</u>

$\rightarrow \sf m=2.5, \ m= -6$

8 0

2 years ago

Read 2 more answers

What is the value of x?

garri49 [273]

Answer:

x = 8

Step-by-step explanation:

The sum of the exterior angles of a polygon = 360°

Sum the exterior angles and equate to 360

62 + 66 + 77 + 59 + 12x = 360, that is

264 + 12x = 360 ( subtract 264 from both sides )

12x = 96 ( divide both sides by 12 )

x = 8

7 0

3 years ago

Find the area of this rhombus

Vikentia [17]

<h2>Hello!</h2>

The answer is:

The area of the rhombus is equal to 64 squared inches.

$area=64in^{2}$

Since we already know half of the length of the diagonals of the rhombus, we can calculate the area of the rhombus using the following formula:

$area=\frac{diagonal_{1}*diagonal_{2}}{2}$

From the image we can see that:

$diagonal_{1}=8in+8in=16in$

$diagonal_{2}=4in+4in=8in$

So, substituting, we have:

$area=\frac{16in*8in}{2}=\frac{128in^{2} }{2}=64in^{2}$

Hence, we have that the area of the rhombus is equal to 64 square inches.

Have a nice day!

7 0

4 years ago

Read 2 more answers

During one week, Josh ran 36 miles, Corey ran 26 miles, Rhona ran 30 miles, and Lyndsay ran 28 miles. What is the mean distance

wolverine [178]

B.) 30 miles

You needed to add all the numbers together then divide by the amount of numbers there which is 4. (ex: 36 + 26 + 30 + 28 = 120 120<span>÷4= 30)

hope that helps!</span>

6 0

3 years ago

Could anyone help with this question?

Nikitich [7]

Answer:

I just answered this question, In case you missed it, here it goes again:

Values for the coefficient in the product k:

$a=b=c=d=3*10^8$ , so the first four boxes should be filled with the number "3"

Drop down arrow: "does"

Step-by-step explanation:

We perform all the products of wavelength time frequency indicated for the column of the quantity "k":

$a$ = $1 * 10^{-10} * 3\, * 10^{18} = 3 * 10^{-10+18} = 3 * 10^{8}$ =

$b=1 * 10^{-1}*3*10^9=3* 10^{-1+9}=3*10^8$

$c=600*10^{-6}*5*10^{11}=3000*10^{-6+11}=3000*10^5=3*10^3*10^5=\\=3*10^{3+5}=3*10^8$

$d=4*10^{-7}*7.5*10^{14}=30.0*10^{-7+14}=30*10^7=3*10*10^7=\\=3*10^{1+7}=3*10^8$

Therefore, all products of these different wavelengths and their associated frequencies render the exact same answer : $3*10^8$ , which means that as one of these quantities increase, the other one will decrease in the same proportion to give the same numerical answer.

This means that the two quantities are associated via inverse proportionality. As seen in the equation below, if the quantities "x" and "y" are related by inverse proportionality (shown as one equals a constant "A" divided by the other variable), their product x*y will give that constant value "A" (which in our case is $3*10^8$ .

$x=\frac{A}{y} \\x*y=A$

8 0

3 years ago