Answer:
Use the quadratic formula
=
−
±
2
−
4
√
2
x=\frac{-{\color{#e8710a}{b}} \pm \sqrt{{\color{#e8710a}{b}}^{2}-4{\color{#c92786}{a}}{\color{#129eaf}{c}}}}{2{\color{#c92786}{a}}}
x=2a−b±b2−4ac
Once in standard form, identify a, b, and c from the original equation and plug them into the quadratic formula.
5
2
−
4
1
+
8
=
0
5x^{2}-41x+8=0
5x2−41x+8=0
=
5
a={\color{#c92786}{5}}
a=5
=
−
4
1
b={\color{#e8710a}{-41}}
b=−41
=
8
c={\color{#129eaf}{8}}
c=8
=
−
(
−
4
1
)
±
(
−
4
1
)
2
−
4
⋅
5
⋅
8
√
2
⋅
5
2
Simplify
3
Separate the equations
4
Solve
Solution
=
8
=
1
5
Use the distance formula to find the value of the side lengths.
d=√((x1-x2)²+(y1-y2)²
d of side AC is 6
d of side CB is 10
Angela's use of the Pythagorean Theorem of 10²+6²+c² is incorrect; she put the right values in the wrong spots, the formula needed is:
6²+10²=c²
Option C- Angelica's side lengths were too long.
Answer:
Step-by-step explanation:
Height of cylinder = 18cm
Circumference = 44 cm
2πr = 44
Volume of cylinder = πr²h
Answer:
A. 17 1/2 . . . cubic feet
Step-by-step explanation:
The volume is the product of the length, width, and height. If your calculator doesn't deal with mixed numbers, it can be convenient to use one that does.
(4 ft)(2 1/2 ft)(1 3/4 ft) = 17 1/2 ft³
The volume of the box is 17 1/2 cubic feet.
____
You can also convert the numbers to decimal to use on your calculator:
4 × 2.5 × 1.75 = 17.500
Or convert them to improper fractions:
4 × 5/2 × 7/4 = 35/2 = 17 1/2
Answer:
matters
Step-by-step explanation:
if sam doesnt want his dad to spend a lot of money on him then 1/3
but if sam wants to pay less then 1/2
1/2 is more then 1/3