A^2 + b^2 = c^2
4^2 + b^2 = 5^2
16 + b^2 = 25. -16
B^2 = 9
Square root of 9 = 3
B = 3
The other leg is 3cm
Answer:
Option A. is the correct option.
Step-by-step explanation:
If a number is divisible by 5 it is not necessary that the number will be divisible by 10.
For example: 25 is the number divisible by 5 but not divisible by 10.
Or in other words a number divisible by 5 should be even to be divisible by 10.
So for the conditional statement : A number is divisible by 10 if and only if it is divisible by 5 will be false because any one out of these two statements is false. We know biconditional is true only when both the statements are true or false means both the statements should have same truth value.
Therefore Option A. is the correct option.
Answer:
a. y = -x + 7
Step-by-step explanation:
The line with equation y = x - 5 has slope = 1.
A perpendicular to a line has the opposite reciprocal slope of the line, so a perpendicular to the given line has slope -1.
y = -x + b
To find the value of b, we plug in the given point for x and y and solve for b.
y = -x + b
2 = -5 + b
b = 7
y = -x + 7
Answer: a. y = -x + 7
The slope-intercept form:

m - slope
b - y-intercept
The formula of a slope:

We have two points (2, 0) and (-2, -4). Substitute:

Therefore we have the equation of a line

Put the coordinates of the point (2, 0) to the equation:
<em>subtract 2 from both sides</em>

Answer: 
3(2m+12) -4m = 20 -3(3m+5)
Step 1. Distribute 3 to (2m+12) and -3 to (3m+5)
Distribution property:
When you are distributing, you multiply the outside number by the numbers inside. For example,
-1(4-2)
-1 times 4, -1 times -2
-4, 2 (negative times negative =positive)
Then you would get
-4+2. You do not distribute with multiplication and division. So then we would do this with our numbers.
6m+36 -4m = 20 -9m-15
______
Step 2. Simplify by adding like terms.
Like terms:
Terms are separated by operation symbols (+,-,*,➗). Like terms are terms with the same variable next to it. 5a and 6a are like terms. Terms with no variables at all are also like terms. 5 and 6 are like terms. 8a and 7 are not like terms. 9a and 9b are not like terms.
6m+-4m= 2m. 20+(-15)=5
_____
2m+36=5-9m
Step 3. Add 9m to both sides
11m+36=5
____
Step 4. Subtract 36 from both sides
11m=-31
____
Step 5. Divide by 11
m=-31/11
If you can please provide brainliest. I took 30 minutes doing this.