Answer:
(- 35, - 5 )
Step-by-step explanation:
Under a reflection in the x- axis
a point (x, y ) → (x, - y ), hence
(- 35, 5 ) → (- 35, - 5 )
Answer:
Step-by-step explanation:
To write an equation, use the slope-intercept equation:
M is the slope and b is the y-intercept.
First, find the slope by using the slope formula for when you have two points:
Rise over run is the change in the y-axis over the change in the x-axis. Substitute values:
Simplify parentheses (two negatives make a positive) and simplify:
The slope, m, is 4. Insert this information into the equation:
Now, take one of the points and insert into the slope-intercept formula:
Solve for b, the y-intercept. Simplify multiplication:
Add 20 to both sides and simplify:
The y-intercept, b, is 20. Insert this value into the equation:
Done.
For any polygon the sum of the exterior angles is 360. Since The polygon is regular divide 360 by 12 to get the exterior angle measure. Interior and exterior angles are supplemental so subtract the exterior angle measure from 180.<span>
</span>
.
<u>Find Radius:</u>
Radius = Diameter ÷ 2
Radius = 4 ÷ 2 = <u>2 in</u>
.
<u>Find Surface Area:</u>
Surface Area = 2πr² + 2πrh
Surface Area = 2π(2)² + 2π(2)(3)
Surface Area = 8π + 12π
Surface Area = 2<u>0π in²</u>
.
Answer: 20π in²
.
Answer:
Each poodle = $300
Each Cat = $150
Step-by-step explanation:
Let number of poodles be P and number of cats be C
"if he buys 3 pooples and 2 cats he will spend 1200" mathematically:
3P + 2C = 1200-------eq 1
"2 poodles and 3 cats he will spend 1050" mathematically:
2P + 3C = 1050 ------eq 2
So now we have a system of 2 equations with 2 unknowns, we'll solve by elimination
eq 1 x 3 : 3 (3P + 2C) = 3 (1200)
9P + 6C = 3600 ------ eq 3
eq 2 x 2: 2(2P + 3C) = 2(1050)
4P + 6C = 2100---------eq 4
By elimination : eq 3 - eq 4
(9P + 6C) - (4P + 6C) = 3600 - 2100
9P - 4P = 1500
5P = 1500
P = 300 (answer)
Substituting back into eq 1
3(300) + 2C = 1200
900 + 2C = 1200
2C = 1200 - 900
2C = 300
C = 150(answer)
