Answer:
21 7/8 square feet
Step-by-step explanation:
To solve the above Question, we have to used the formula of a parallelogram
The formula is given as:
Base × Height
Base = 6 1/4 feet
Height = 3 1/2 feet
Area = 6 1/4 × 3 1/2
Area = 25/4 × 7/2
Area = 175/8
Area = 21 7/8 ft²
Therefore, they would need 21 7/8 square feet poster paper for the parallelogram shaped banner
Answer:
d. -2/3x+5
Step-by-step explanation:
Because the line is perpendicular, the slope must be the inverse of the original slope. The inverse of 3/2 is -2/3. To find the b value, you plug (6,1) into the equation y=-2/3x+b
1=-2/3(6)+b
1=-4+b
5=b
The final equation is y=-2/3x+5
This is an example of empirical probability, although it gives the same ratio as a theoretical probability, because we based the result on our experiment
Answer:
Step-by-step explanation:
A line that passes through the point (4,-6) has a slope of 5/-4. Which of the following gives the equation of the line?
With the slope of 5/-4, and the ordered pair (4,-6) :
let m = 5/-4 (slope),
x1 = 4
y1 = -6
We can use those given values into the point-slope formula:
y - y1 = m(x - x1)
Plugging in those values will give you the answer:
y - (-6) = 
(x - 4)
Distribute into the terms inside the parenthesis:
y + 6 = 
+ 5
Subtract 6 from both sides to isolate y:
y + 6 - 6 = 
+5 - 6
The equation of the line in slope-intercept form is:
At the end of practice, Joseph will need to run another 1.75 miles or 1 3/4 miles.
To determine this we need to subtract the amounts he already has run during practice from the goal of 3 miles.
3 miles - 1/2 miles - 1/4 miles - 1/4 miles - 1/4 miles = 1.75 miles
