y = mx + b
The product of slopes of perpendicular lines is -1. The slope of the given line is 2, so the slope of the perpendicular line is -1/2.
y = (-1/2)x + b
Now use the given point to find b and finish from here.
-5 = (-1/2)(2) + b
b = ?
A minor arc is an arc of a circle having measure less than or equal to radians and it is an arc smaller than a semicircle. In the given figure, EC is the minor arc as it is an arc smaller than a semicircle. EGF, ECG and GCE are not the minor arcs as these arcs does not have measure less than or equal to radians and these arcs are also not smaller than a semicircle.
For this case we have the following expression:
From here, we must clear the value of a.
We then have the following steps:
Place the terms that depend on a on the same side of the equation:
Do common factor "a":
Clear the value of "a" by dividing the factor within the parenthesis:
Answer:
The clear expression for "a" is given by:
Answer:
x = -2
Step-by-step explanation:
Patrick has a total of 600 meters skein of yarn.
He used 248.9 meters of yarn to make a hat.
Now, If he has used 248.9 meters of yarn, we need to find how much yarn has he left.
We need to subtract the amount of yarn used from the total length. That is, 248.9 from 600.
So, now Patrick has left 351.1 meters of yarn.
Patrick needs to make a scarf that needs 354.03 meters of yarn but after making a hat he has left with only 351.1 meters of yarn. Therefore, Patrick does not have enough yarn to make a scarf.