X² - 7x + 10 = 0
Let's factor out the equation first.
x² - 7x + 10
x -2
x -5
This factoring of (x-2)(x-5) fit the equation.
(x-2)(x-5) = 0
One of the factors must equal 0 as to equal zero.
Either x - 2 = 0 or x - 5 = 0
x - 2 = 0
x = 2
x - 5 = 0
x = 5
The two answers are x = 2 or x = 5. Hope this helps!
The first answer.
Point P is at (50,-40) the distance from Q to P is 80 units which you can find by subtracting the x of Q (-30) from the x of P (50).
50-(-30)=80
It then tells you point R is vertically above point Q so you know your x value for R will be the same as Q.
Add your distance from Q to P of 80 units to the y value of Q because you are traveling up.
-40+80=40
R will have a point of (-30,40) and a distance of 80 units
Answer:
37
Step-by-step explanation:
10z - 3 = 10(4) - 3
=40-3
=37
To solve this problem, you must follow the proccedure below:
1. T<span>he block was cube-shaped with side lengths of 9 inches and to calculate its volume (V1), you must apply the following formula:
V1=s</span>³
<span>
s is the side of the cube (s=9)
2. Therefore, you have:
V1=s</span>³
V1=(9 inches)³
V1=729 inches³
<span>
3. The lengths of the sides of the hole is 3 inches. Therefore, you must calculate its volume (V2) by applying the formula for calculate the volume of a rectangular prism:
V2=LxWxH
L is the length (L=3 inches).
W is the width (W=3 inches).
H is the heigth (H=9 inches).
4. Therefore, you have:
V2=(3 inches)(3 inches)(9 inches)
V2=81 inches
</span><span>
5. The amount of wood that was left after the hole was cut out, is:
</span>
Vt=V1-V2
Vt=648 inches³
32 will go into 284 8 times completely but the decimal is 8.875
