Two solutions were found :<span> t = 8 t = 0</span>
Reformatting the input :
Changes made to your input should not affect the solution:
(1): "t2" was replaced by "t^2".
Step by step solution :Skip Ad
<span>Step 1 :</span><span>Step 2 :</span>Pulling out like terms :
<span> 2.1 </span> Pull out like factors :
<span> t2 - 8t</span> = t • (t - 8)
<span>Equation at the end of step 2 :</span> t • (t - 8) = 0
<span>Step 3 :</span>Theory - Roots of a product :
<span> 3.1 </span> A product of several terms equals zero.<span>
</span>When a product of two or more terms equals zero, then at least one of the terms must be zero.<span>
</span>We shall now solve each term = 0 separately<span>
</span>In other words, we are going to solve as many equations as there are terms in the product<span>
</span>Any solution of term = 0 solves product = 0 as well.
Solving a Single Variable Equation :
<span> 3.2 </span> Solve : t = 0<span>
</span> Solution is t = 0
Solving a Single Variable Equation :
<span> 3.3 </span> Solve : t-8 = 0<span>
</span>Add 8 to both sides of the equation :<span>
</span> t = 8
Two solutions were found :<span> t = 8<span> t = 0</span></span>
Answer:
a = 16.13 ft²
Step-by-step explanation:
Triangle
a = (1/2)bh
a = (1/2)6 * 4
a = 12
Semicircle
a = (1/2)πr²
a = (1/2)(3.14)(3²)
a = 14.13
Combined figure
a = 12 + 14.13
a = 16.13 ft²
It is mentioned that the rate is constant at $85 per hour. Since, on Wednesday, Nita worked for 8 hours, she would earn 85*8 = $680. In addition to this, she also received a tip of $12. Thus, she earned a total of $680 + $12 = $692.
Answer:
155.45 cm
Step-by-step explanation:
Given: Length of side x (opposite)= 89.75 cm
Angle is 30°
Lets use tangent rule to find the value of y (adjacent).
∴
Using trigonometry table
⇒
Now, cross multiplying both side
⇒ y=
∴ 155.45 cm is the length of side y.
Use the distance formula.
The distance, d, between points
and
is given by the distance formula below.
Now we can apply the formula to your points.
Let Point 1 be (2, 3) and Point 2 be (5, -4).
Then you have
Answer: the distance is sqrt(58)