Answer:
X = 0 4 8 12
Y = 10 7 4 1
Step-by-step explanation:
Given:
Cost of one T shirt = $15
Cost of one sweater = $ 20
To find :
The graph that will represent both number of T-shirts and sweatshirts = ?
Solution:
Let the number of t-shirts be x
The number of sweaters be y
They want to rise a found of $200
Then the equation to represent this situation is
15x + 20y = 200
By trial and error method
15(12) + 20(1) = 200
15(8) + 20(4) = 200
15(0) + 20(10) = 200
15(4) + 20(7) = 200
Answer:
x=3, y=9
Step-by-step explanation:
5x-2y=-3
4x-2y=-6
Then:
solve for y:
-2y=-6-4x
y=3+2x
Substitute y into either equation:
4x-2(3+2x)=-6
4x-6-4x=-6
-6=-6, use other equation
5x-2(3+2x)=-3
5x-6-4x=-3
x-6=-3
x=3
then:
y=3+2(3)
y=9
Answer: scalene and obtuse
Justification:
You can find the angles using the law of cosine:
c^2 = a^2 + b^2 - 2abcos(γ)
=> cos(γ) = [a^2 + b^2 - c^2] / (2ab)
1) cos(γ) = [10^2 + 11^2 - 15^2] / (2*10*11) = - 0.0181818
=> γ = arccos(-0.0181818} ≈ 91°
2) cos(α) = [b^2 + c^2 - a^2 ] / 2bc = [11^2 + 15^2 - 10^2] / (2*11*15] = 0.7454545
=> α = arccos(0.7454545) ≈ 41.8°
3) cos(β) = [a^2 + c^2 - b^2] / (2ac) = [10^2 + 15^2 - 11^2] /(2*10*15) = 0.68
=> β = arccos(0.68) ≈ 47.2°
4) Verification: 91° + 41.8° + 47.2° = 180°
5) The triangles with the three different sides are called scalenes (which you can tell with only the measures of the sides).
6) The triangles with one angle greater than 90° are called obtuse.
So, the triangle is scalene and obtuse.
Answer:
the answer is A
Step-by-step explanation:
because two negatives turn to a positive
