Answer:
0
Step-by-step explanation:
slope m = (y₂ - y₁) / (x₂ - x₁)
= (5 - 5) / (4 - 9)
= 0 / -5
= 0
<u>in</u><u> </u><u>slope</u><u> </u><u>in</u><u>t</u>ercept
y = -5x - 7
point slope form
y + 5x - 7 =0
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>
Answer:
The answer to your question is L = 10 in , M = 9 in ; S = 5 in
Step-by-step explanation:
Data
longest side = 5 + x in
medium side = 4 + x in
shortest side = x
Perimeter = 24 in
Process
1.- Write and equation to solve this problem
Perimeter = longest side + medium side + shortest side
Substitution
24 = (5 + x) + (4 + x) + x
Simplification
24 = 5 + x + 4 + x + x
24 = 9 + 3x
24 - 9 = 3x
15 = 3x
x = 15/3
x = 5
2.- Calculate the lengths of the side
Longest side = 5 + 5 = 10 in
Medium side = 5 + 4 = 9 in
Shortest side = 5 in
Answer:
B. 36+12sqrt(2)
Step-by-step explanation:
We can use Pitagoras' theorem to find the height of the triangle
15^2=9^2 + h^2
h^2=144
Lets apply square root to the whole equation:
sqrt(h^2=144)
h=12
With the height, we can now find the length of AC.
Sin(45)=12/AC.
AC=12/Sin(45)=24/sqrt(2)=12*sqrt(2) if we rationalize.
Now, lets fin the missing segment between B and C (call it)
where 9+x= BC
Cos(45)=x/AC
x=cos(45)*AC=12
Now, the perimeter is the sum of all its sides
AB+AC+BC=15+12*sqrt(2)+9+12=36+12sqrt(2)
