Answer:
x = 15.65 and y = 5√2
Step-by-step explanation:
To get x and y we will use the Pythagoras theorem as shown
hyp^2 = adj^2 + opp^2
x^2 = 14^2+7^2
x^2 = 196 + 49
x^2 = 245
x = √245
x = 15.65
Similarly for y;
y2 = 5^2 + 5^2
y^2 = 25 + 25
y^2 = 50
y = √2*25
y = 5√2
Hence x = 15.65 and y = 5√2
Answer:
p=18x+4
a=20x^2+17x-63
a=1350
Step-by-step explanation:
Given:
l=5x-7
w=4x+9
Required:
Area of the rectangle=?
Perimeter of the rectangle=?
If x = 9 inches what is the area of the shape=?
Formula:
a=l*w
p=2(l+w)
Solution:
p=2(l+w)
p=2(5x-7)+2(4x+9)
p=10x-14+8x+18
p=10x+8x+18-14
p=18x+4
a=l*w
a=(5x-7)(4x+9)
a=20x^2+45x-28x-63
a=20x^2+17x-63
Area of the shape if x=9in
a=20x^2+17x-63
a=20(81)+17(9)-63
a=1620+153-63
a=1413-63
a=1350
9514 1404 393
Answer:
(3) y = (x -3)²
Step-by-step explanation:
Try the first value of x in each function:
(1) y = 3² -3 ≠ 0
(2) y = (3 +3)² ≠ 0
(3) y = (3 -3)² = 0 . . . . . . matches the table value for f(3)
(4) y = 3² +3 ≠ 0
__
The only viable choice is (3).
Answer:
21:26:38
Step-by-step explanation:
Ratio in mathematics is the relationship between two or more amounts, showing how many times they can be contained in one another.
Example: 1:2 means there are two times the first amount in the second.
For the case above;
Given;
Number of each shape noah drew;
hearts = 26
Stars = 21
circles = 38
The ratio of stars to hearts to circles
N(stars) : N(hearts) : N(circles)
21:26:38
Since they are not divisible by a common factor the ratio remains;
21:26:38
The term "exponential growth" refers to a very rapid increase in number while the term "exponential decay" refers to a very rapid decrease in number.
<h3>Exponential growth</h3>
The "exponential" typically connotes something that happens very rapidly. Hence, it is safe to say that a suitable synonym for the word "exponential" is the word "rapid".
Hence, "exponential growth" refers to a very rapid increase in number while the term "exponential decay" refers to a very rapid decrease in number.
Learn more about exponential growth: brainly.com/question/1340582
