Answer:
-7
Step-by-step explanation:
The slope formula is (y1 - y2) / (x1 - x2).
In this question we have two points: (1,5) and (2,-2).
x1 = 1
y1 = 5
x2 = 2
y2 = -2
then, plug in these numbers into the slope formula
(5-(-2))/(1-2) = 7 / -1 = -7
In order to achieve an average of 12 successful shots she has to score 36 times in total. So, she has to score 5 times in the 3rd set.
13 + 18 + 5 = 36
In order to achieve an average of 16 successful shots she has to score 48 times in total. So, she has to score 17 times in the 3rd set.
13 + 18 + 17 = 48
Express your answer in the form of a compound inequality using the variable F to represent a successful basketball free throw:
5 <= F <= 17
Answer:
8 ft²
Step-by-step explanation:
Since ΔEFG ~ ΔABC, they are proportionately related. Each of the corresponding sides differ by the scale factor, which shows how much bigger or smaller the new triangle is from the original triangle.
Purple = original triangle, triangle 1
Pink = new triangle, triangle 2
Find the scale factor, "k". It will be a fraction because the triangle gets smaller.
k = FG/BC = 2/3
The scale factor can be used to find a side, the height or the area of the new triangle.
Use the scale factor squared to find the area.
A₂ = (A₁)(k²)
= (18 ft²)(2/3)²
= 7.999...ft²
= 8 ft²
Answer:
Option 2: 2x + 2 = 72
Step-by-step explanation:
First odd: x
Next odd: x + 2
x + (x + 2) = 72
2x + 2 = 72
Because the difference between two consecutive odd numbers is 2.
e.g 3 and 5
Answer:
y= 1x - 1
Step-by-step explanation:
Slope-intercept form: y=mx + b
(-4,-5) (5,4)
m= (y2 - y1)/(x2 - x1) = (4+5)/(5+4)=1
4=1(5)+b
4=5 + b 4-5=b b= -1
y= 1x - 1