Answer:
no real solutions
Step-by-step explanation:
Given a quadratic equation in standard form
ax² + bx + c = 0 : a ≠ 0
Then the nature of the roots can be determined from the discriminant
b² - 4ac
• If b² - 4ac > 0 then 2 real and distinct roots
• If b² - 4ac = 0 then 2 real and equal roots
• If b² - 4ac < 0 then no real roots
Given
n(7n + 8) = - 10 ← distribute left side
7n² + 8n = - 10 ( add 10 to both sides )
7n² + 8n + 10 = 0 ← in standard form
with a = 7, b = 8 and c = 10, thus
b² - 4ac = 8² - (4 × 7 × 10) = 64 - 280 = - 216
Since b² - 4ac < 0 the equation has no real roots
Answer: total cost earn=$1360
adult sold =45
student sold =80
adult cost twice as student cost so we can say adult sold 45+45=90
so total sold=90+80=170
to get the cost of 1 meal we divide 1360 by 170
1360/170=8
one student meal cost=8$
one adult meal cost=8*2=16
total students meal cost=8*80=640$
total adult meal cost=16*45=720
640+720=1360
Answer:
- <u>Surface Area = 188.4 square yards</u>
- <u>Volume = 216 cubic yards</u>
Step-by-step explanation:
Finding the hypotenuse of the triangular side :
- Applying Pythagorean theorem
- √6² + 6²
- √2 x 6²
- 6√2
Finding Surface Area :
- Area (2 triangles) + Area (2 smaller rectangles) + Area (larger rectangle)
- 2 x 1/2 x 6 x 6 + 2 x 12 x 6 + 12 x 6√2
- 36 + 144 + 6√2
- 180 + 6√2
- 6 (30 + √2)
- 6 (30 + 1.4)
- 6 (31.4)
- <u>188.4 square yards</u>
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Finding Volume :
- 1/2LWH
- 1/2 x 12 x 6 x 6
- 6³
- <u>216 cubic yards</u>
Try to get X by itself so you have to add two to each side. Then get rid of the -5 by dividing it. The end result would be x= 13/-5
Answer:
angle M = 60
angle Q = 70
Step-by-step explanation:
M 180/3 = 60
Q 180-40 = 140/2 = 70