4, there are 4 equal angles
12x - 4y = -8
y = 3x + 2
Rewrite the first equation
12x + 8 = 4y
3x + 2 = y
As you see, the first and second equation are actually the same, meaning there's an infinite number of solutions.
Difference between the area of the triangle and square is 25
Step-by-step explanation:
- Step 1: Find the area of the triangle given its 3 sides using the Heron's formula.
Area of the triangle =
where s = ![\frac{a + b + c}{2}](https://tex.z-dn.net/?f=%5Cfrac%7Ba%20%2B%20b%20%2B%20c%7D%7B2%7D)
⇒ s = (6 + 8 + 10)/2 = 24/2 = 12
= ![\sqrt{12(12-6)(12-8)(12-10)}](https://tex.z-dn.net/?f=%5Csqrt%7B12%2812-6%29%2812-8%29%2812-10%29%7D)
=
=
= 24 sq. units
- Step 2: Find the area of the square with perimeter = 28 units.
Perimeter of the square = 4 × side = 28
⇒ Side of the square = 28/4 = 7 units
⇒ Area of the square = (side)² = 7² = 49 sq. units
- Step 3: Find the difference between the area of the square and triangle.
Difference = 49 - 24 = 25
Answer:
cups
Step-by-step explanation:
To determine the quantity of snack mix Jared guest ate, we multiply the quantity of snack mix the guest ate by the quantity of snack mix Jared made. i.e we determine
by multiplying both fractions together
quantity of snack mix Jared guest ate = ![\frac{2}{3}of12\frac{3}{4}=\frac{2}{3}*12\frac{3}{4}=\frac{2}{3}*\frac{51}{4}=\frac{17}{2} =8\frac{1}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B3%7Dof12%5Cfrac%7B3%7D%7B4%7D%3D%5Cfrac%7B2%7D%7B3%7D%2A12%5Cfrac%7B3%7D%7B4%7D%3D%5Cfrac%7B2%7D%7B3%7D%2A%5Cfrac%7B51%7D%7B4%7D%3D%5Cfrac%7B17%7D%7B2%7D%20%3D8%5Cfrac%7B1%7D%7B2%7D)
Answer:
y=1/2x+2
Step-by-step explanation: