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yulyashka [42]
2 years ago
9

I have no clue on this one either

Mathematics
1 answer:
taurus [48]2 years ago
4 0

Answer:

Area of the triangle = 210 cm^2 .

Step-by-step explanation:

Perimeter of triangle = 4x + 1 + 3x - 1 + 3x = 70

10x = 70 - 1 + 1 = 70

x = 7.

Area A = 1/2 * base * height

= 1/2 * 3x * (3x - 1)

= 1/2 * 3(7) * (3(7)  -1)

= 1/2 * 21 * 20

= 210.

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Derive the equation of the parabola with a focus at (-5,5) and a directix of y = -1
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Answer:

D

Step-by-step explanation:

From any point (x, y) on the parabola the focus and directrix are equidistant

Using the distance formula

\sqrt{(x+5)^2+(y-5)^2} = | y + 1 |

Squaring both sides

(x + 5)² + (y - 5)² = (y + 1)^2 , that is

(y + 1)² = (x + 5)² + (y - 5)² ← subtract (y - 5)² from both sides

(y + 1)² - (y - 5)² = (x + 5)² ← expand left side and simplify

y² + 2y + 1 - y² + 10y - 25 = (x + 5)²

12y - 24 = (x + 5)² ← factor left side

12(y - 2) = (x + 5)² ← divide both sides by 12

y - 2 = \frac{1}{12} (x + 5)² ← add 2 to both sides

y = \frac{1}{12} (x + 5)² + 2

or

f(x) = \frac{1}{12} (x + 5)² + 2 → D

7 0
3 years ago
Johan can drive 270 miles on 9 gallons of gas. What is his average mileage?
VladimirAG [237]

Hey there!

The correct answer is 30 miles per gallon.

If he can drive 270 miles on 9 gallons, we want to find the unit rate, or miles per gallon. We can do this by dividing 270 by 9. To make it easier, we will take off the zero, and do 27/9, which is 3. Now we add the 0 back on, which gives us 30. Therefore, his average mileage is 30 miles per gallon.

Have a terrificly amazing day! :D

4 0
3 years ago
Read 2 more answers
1
fredd [130]
Hi there I know the answer but it was confusing so it has to be D or B
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Answer:

Step-by-step explanation:

0.375

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