The correct answer is 4a^2 + 3ab
In order to find this, we can write the equation out as described and then follow the order of operations.
3a^2 - 2ab + 3b^2 - (-a^2 - 5ab + 3b^2) ----> Distribute the negative
3a^2 - 2ab + 3b^2 + a^2 + 5ab - 3b^2 ----> Combine like terms
4a^2 + 3ab
Answer:
x = 7
Step-by-step explanation:
Given the base of the triangle is 6 and the line dividing the triangle is x. To get x divide the triangle into two equal halves. When you do so,you’ll have a right triangle with x as the opposite , 8 as the hypotenuse and the adjacent as 3.
Using Pythagoras theorem, we have
8^2 = x^2 + 3^2
8 x 8 = x^2 + 3 x 3
64 = x^2 + 9
Subtract 9 from both sides
64 - 9 = x^2 + 9 - 9
55 = x^2
X^2 = 55
x = squared root of 55
x = 7.4
x = 7
Answer:
Step-by-step explanation:
Assume that the shadow of an object in this problem is proportional to the height of the object. One can form the following ratio to describe the objects in this problem,
As per the given problem, a (6) foot person casts a (1.7) foot shadow. Therefore, one can form the following ratio,
It is given that there is a lighthouse that has a shadow of (10.2) feet, one is asked to find its height. Use the parameter (x) to represent the unknown; since the ratios are related, one can form a proportion to solve for(x).
Cross products,
Simplify,
Inverse operations,
<span>If you made a line of best fit, then the score would most likely be 95.</span>
We can either convert to standard form first or convert to a common multiplier, kinda like a common denominator. The latter makes more sense if they wanted the result in scientific notation, but let's do it that way anyway.
a)
4.5 × 10⁴ + 3.8 × 10³ = 45 × 10³ + 3.8 × 10³ = 48.8× 10³ = 48,800
Answer: 48,800
b)
4.5 × 10⁴ - 3.8 × 10³ = 45 × 10³ - 3.8 × 10³ = 41.2× 10³ = 41,200
Answer: 41,200
c)
7.2 × 10⁻³ + 6.3 × 10⁻² = 7.2 × 10⁻³ + 63 × 10⁻³ = 70.2 × 10⁻³
= 7.02 × 10⁻² = 0.0702
Answer: 0.0702
