Answer:
27.84 m² , 42.48 m²
Step-by-step explanation:
The area (A) of a triangle is calculated as
A = bh ( b is the base and h the perpendicular height )
Shape A
has b = 9.6 and h = 5.8, then
A = 0.5 × 9.6 × 5.8 = 27.84 m²
Shape B
has b = 11.8 and h = 7.2 , then
A = 0.5 × 11.8 × 7.2 = 42.48 m²
The mathematical sentence can be written as:
x^3 = y^5
<h3>
How to write the expression?</h3>
A number a to the power of n is written as:
a^n
Then:
"x to the power of 3 is equal to y to the power of 5"
Would be written as:
x^3 = y^5
Particularly, this does not appear in the given options, but this is the correct and simplest way of writing the given mathematical sentence.
If you want to learn more about expressions, you can read:
brainly.com/question/4344214
Move the dot twice to the right
Answer:
The slope is 3 and the line is rising.
Step-by-step explanation:
To find the slope m of a line given two points (x₁, y₁) and (x₂,y₂) we can use the formula:
m = (y₂-y₁) / (x₂ - x₁)
In this problem we have the points (6,2) and (7,5), substituting these values in the formula we get:
m = (5 - 2) / (7 - 6) = 3/1 = 3
Therefore, the slope is 3.
Given that the slope is positive we can conclude that the line through the points rises.
I suppose you mean
Recall that
which converges everywhere. Then by substitution,
which also converges everywhere (and we can confirm this via the ratio test, for instance).
a. Differentiating the Taylor series gives
(starting at because the summand is 0 when )
b. Naturally, the differentiated series represents
To see this, recalling the series for , we know
Multiplying by gives
and from here,
c. This series also converges everywhere. By the ratio test, the series converges if
The limit is 0, so any choice of satisfies the convergence condition.