Answer:
9.434 units
Step-by-step explanation:
Given data
points (5,4) and (-3,-1)
x1= 5
y1= 4
x2= -3
y2= -1
The expression for the distance between two points is
d=√((x_2-x_1)²+(y_2-y_1)²)
substitute
d=√((-3-5)²+(-1-4)²)
d=√((-8)²+(-5)²)
d=√64+25
d=√89
d=9.4339
d= 9.434 units
Hence the distance between the points is 9.434 units
A dependent variable is a value that depends on how the other variables are controlled or manipulated.
Meanwhile, an independent variable, is as what its name suggests, is independent and doesn't change based on the value of other variables.
a.) The dependent variable is the number of glitter markers
b.) The independent variable is the number of gift bags
c.) The number of glitter markers Teresa needs to buy depends on the number of gift bags she has. She has to multiply
d.) The relationship is additive. The more gift bags Teresa has, the more glitter markers she has to buy.
Answer:
If you're isolating X then it would equal x=1
Answer:
a.) 
b.) 
c.) $
Step-by-step explanation:
a.) If she earns $7 'per' hour, this multiplication. After a week, we need to see how many hours she worked to earn $91, so this goes behind the equal sign. Let <em>h</em> be the unknown number of hours:
Solve for h. Divide both sides by 7:
Sylvia worked 13 hours at a rate of $7 an hour.
b.) She can work at most 15 hours a week. At 'most' can also mean less than or equal to. Let <em>h</em> be hours:
Sylvia can work less than or equal to 15 hours per week.
c.) If Sylvia can work 15 hours, plug in this value for <em>h</em> into an equation when she earns $7 per hour. Let the product of the hours and money equal <em>t</em> for total:
The most money Sylvia can earn in a week is $105.
<em>Finito.</em>
