5.8 × 10⁻¹ = 0.58
7.4 × 10⁰ = 7.4
0.58 - 7.4 = -6.82
so
(5.8 × 10⁻¹) - (7.4 × 10⁰) = -6.82 × 10⁰
Answer:
Step-by-step explanation:
The standard form of equation of a circle is expressed as;
x^2+y^2+2gx+2fy+c = 0
The centre is at (-g, -f)
Given the equation'
9x²+9y²+18x-12+10=0
Divide through by 9
9x²/9+9y²/9+18x/9-12y/9+10/9=0
x^2+y^2+2x-4/3 y + 10/9 = 0
Compare
2gx = 2x
g = 1
2fy = -4/3 y
2f = -4/3
f = -4/6
f = -2/3
The centre is (-(-2/3), -1) = (2/3, -1)
for the radius
r = √f²+g²-c
r =√(-2/3)²+1²-10
r =√4/9 - 9
r = √(4-81)/9
r = √-77/9
If he needs 4/8 then he doesn't need anymore rope because 3/4 is equal to 6/8
Answer:
Commercials x = 7
Movies y = 2
Step-by-step explanation:
Let commercials = x
Let's movies = y
$40 is for commercials
$110 is for movies.
Commercials plus movies for the Year = 9
She earned total of $500
X+ y = 9..... equation 1
40x + 110y = 500.... Equation 2
Multipling equation one by 40
40x + 40y = 360
Subtracting equation one from equation 2
70y = 140
Y = 2
If y = 2
X + y = 9
X + 2 = 9
X = 9-2
X = 7
Answer:
See the three answers with their explanation below
Explanation:
<u>a. To eliminate the fraction from each side you multiply both sides by the least common denominator of the fractions of the two sides.</u>
In this case it is 2×3 = 6
See how you do it:
<u>b. This word problem would lead to the given equation:</u>
Half the age of Alice 4 years ago equals 2 more than one third of her current age.
- Current age: x
- Age four years ago: x - 4
- Half the age of Alice four years ago:
- 2 more than one third of her current age:
Equality condition:
<u>c. Solution</u>
Meaning: Alice is currently 24 years old.
