Answer:

Step-by-step explanation:
The slope of a line that is perpendicular to another will have an opposite-reciprocal slope. So, if the slope was -2, then the perpendicular slope would be
.

This is written in slope-intercept form:

m is the slope and b is the y-intercept. Find the opposite-reciprocal of the slope, -5:

Now we need to find the y-intercept. For this, substitute the given points for its appropriate value:

Solve for b:
Simplify multiplication:

Insert:

Subtract b from both sides:

Subtract 3 from both sides:

Simplify subtraction:

Insert:

Multiply both sides by - 1 to simplify b (it can be seen as -1b):

Insert:

:Done
Answer:
=x
Step-by-step explanation:
10^2+21^2=x^2]
100+441=x^2
541=x^2
=x
Answer:
She will have 142 watermelons
Step-by-step explanation:
First let's put our ratio
10 : 71
Since our lemons are now 20 instead of 10 we will divide 20 by 10 to see how many time we multiplied it by.

which equals 2
To find our water melon we will multiply it by 2

which equals 142
She will have 142 watermelons
Answer:
13 , 24 , 14
Step-by-step explanation:
Note that technically there are two patterns. Each one adds 1.
The first pattern starts with 11. The third number is 12, which means that the fifth number will be 13, and the 7th number will be 14.
The second pattern starts with 22. The 4th number is 23, which means the sixth number will be 24.
~
Answer:
A 1/2
Step-by-step explanation:
Ratio of short length to hypotenuse
= cos60
= 1/2