Answer:
The other side = 
units
Step-by-step explanation:
A right triangle has a side of length 
units and;
the hypotenuse is 
According to Pythagorean theorem,
a² + b² = c² , where a and b are the two legs of a triangle and c is the hypotenuse.
Lets say a² = 
and c² = (
b² = c² - a²
b² = 
- 
= 
So b = 
= units.
So the other side = units.
Answer:
The correct option is 1.
Step-by-step explanation:
In a graph, the lowest points of the functions are called local minima and highest points of the functions are called local maxima.
The point of local maxima and local minima can be more than one point. The graph must be continuous at extreme points.
From the given graph it is noticed that the highest point of the function is (0,1), therefore the local maxima is (0,1).
The lowest points of the graph are
But the graph is discontinuous at 
. So, the point is not a local minima.
The point of local minima are 
.
Therefore option 1 is correct.
Answer:
x ÷ 1/4
Step-by-step explanation:
<u>Concepts:</u>
- An expression a mathematical sentence that has at least two numbers and a minimum of one math operation (addition, subtraction, etc.) in it. An expression cannot have an = sign in it.
- A variable is an unknown, numerical value in an equation, often represented by the letter x.
<u>Solving:</u>
Let's translate the first part of the expression:
1. "A number"
- Since we're unaware of the number in this expression, we can mark it as a variable, x.
- This means that, so far for our expression, we only have the variable, "x".
2. "divided by 1/4"
- When we're dividing, we use the ÷ symbol to represent that operation.
- Now, let's put the first part of our expression with the second one: "x ÷ 1/4"
Therefore, the expression for this situation is x ÷ 1/4.
Find out what angle it is. then add all sides abs subtract the total degrees and it’s your answer!
Answer:
y = x + 5
Step-by-step explanation:
Perpendicularity: Slope is the opposite reciprocal. In this case with it being -1 aka -1/1, the slope will be 1 aka 1/1
Find the opposite reciprocal of the slope
m = -1 = -1/1
so,
m⊥ = 1 as the opposite reciprocal is 1/1
2 - Plug the new slope into y = mx + b
y = mx + b
y = 1x + b
y = x + b
3 - Plug the point values in replacing x and y to get alone and solve for the y intercept, b.
y = x + b
-4 = -9 + b
+9 +9
5 = b
4 - Plug into the values into y = mx + b all together
y = mx + b
y = 1x + 5
y = x + 5
Hope this helps :)
