Answer:
y = 
x - 11
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = 
with (x₁, y₁ ) = (2, - 4) and (x₂, y₂ ) = (6, 10)
m = 
= 
= , thus
y = x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (2, - 4) , then
- 4 = 7 + c ⇒ c = - 4 - 7 = - 11
y = x - 11 ← equation of line
Answer:
D) Abner can spend $60 per month on school clothes and $20 per month on gym clothes and stay within his budget.
Step-by-step explanation:
In the problem it states that Abner will spend 3 times more on (s)school clothes than (g) gym clothes.
So it would appear as s ≥ 3g.
If we plug in $60 as s (school clothes) and $20 as g (gym clothes), the statement is true.
60 ≥ 3(20)
60 ≥ 60. These numbers make the linear system true.
If you have trouble with this, an easy way to find this answer is simply creating the linear system that represents the problem, (he will buy 3 times more school clothes than gym clothes) s ≥ 3g and plug in each variable from the answer choices until you find the variables that make the linear system true.
Answer:
w=15
Step-by-step explanation:
w/5=3
multiply by 5 on both sides
w=3*5
∴ w=15
Answer:
7.4 x (87-24)
Step-by-step explanation:
The translation is that you multiply the difference of two numbers. So you must get the difference first, that's why you put parenthesis around 87-24. Your answers are sideways and are hard to read, so I'll just give you the correct answer without the answer choice.
To solve this problem you must apply the proccedure shown below:
1- If the triangle is a rigth triangle, you must apply the Pythagorean Theorem. Taking the length 3 inches as the hypotenuse, which is the longest side of the triangle, you have:
a^2=b^2+c^2
c=√(a^2-b^2)
b=3/4 inches
a=3 inches
2- When you susbtitute the values, you obtain:
c=√(3 inches)^2-(3/4 inches)^2
c=2.90 inches
The answer is: 2.90 inches.
